Answer:
Draw a line perpendicular (90°) to the chord GH, half way along it's length
Now you know why it's easier to pick an easy length to start with. Make sure it goes past where the center of the circle should be. You can go straight across if that's easier.
Do the same for chord JK
The point of intersection of the 2 chord's perpendicular line is the centre of the circle
This should be enough to find the center of the circle, but you can add more chords to make sure
pls mark me as brainliest :)
Help me with my homework please!
The values of the sides are;
11. SR = 25
12. RU = 25
13. SU = 35.4
14. Perimeter = 100 units
15. Area = 625 square units
How to determine the valueIt is important to note that a square have 4 equal sides and 4 equal angles.
From the information given, we have that;
Line SR = line RU
But we have that;
SR = 2k + 7
RU = 3k - 2
Equate the sides, we have;
2k + 7 = 3k - 2
collect the like terms
2k - 3k = - 2 - 7
subtract the terms
-k = - 9
k = 9
Then, SR =2(9) + 7 = 25
RU = 3(9) - 2 = 25
The line SU is the hypotenuse side
Using the Pythagorean theorem
SU² = 25² + 25²
SU² = 625 + 625
SU = √1250
SU = 35. 4
15. The perimeter of a square is expressed as;
Perimeter = 4a
Perimeter = 4(25)
Perimeter = 100 units
16. The area of a square is expressed as;
Area = a²
Area = 25²
Area = 625 square units
Learn about squares at: https://brainly.com/question/25092270
#SPJ1
Find the surface area of the rectangular prism.
need help
The surface area of the rectangular prism with a length of 4 units, a width of 3 units, and a height of 5 units is 94 square units.
To find the surface area of a rectangular prism, you need to add up the area of all six faces. The formula for the surface area of a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the rectangular prism.
So, to find the surface area of a rectangular prism, you simply need to plug in the values for l, w, and h into this formula and solve.
For example, if the length of the rectangular prism is 4 units, the width is 3 units, and the height is 5 units, the surface area would be:
Surface Area = 2(4)(3) + 2(4)(5) + 2(3)(5)
Surface Area = 24 + 40 + 30
Surface Area = 94 square units
To learn more about : prism
https://brainly.com/question/1297098
#SPJ11
an algebra class has 8 students and 8 desks. for the sake of variety, students change the seating arrangement each day. how many days must pass before the class must repeat a seating arrangement? days must pass before a seating arrangement is repeated. suppose the desks are arranged in rows of 4. how many seating arrangements are there that put larry, moe, curly, and shemp in the front seats? there are seating arrangements that put them in the front seats. what is the probability that larry, moe, curly and shemp are sitting in the front seats? the probability is .
Solving the probability and permutations, we get (a) 20,160. (b) Larry, Moe, Curly, and Shemp can be arranged in the four front seats in 24 ways, and the ILB block can be arranged with the remaining students in 720 ways, and (c) 1/280.
(a) The number of possible seating arrangements can be calculated using the formula for permutations of n objects taken r at a time: P(n,r) = n!/(n-r)!. In this case, there are 8 students and 8 desks, so there are 8! possible seating arrangements.
To find the number of days before a seating arrangement is repeated, we need to subtract 1 from this number (since the first day is a unique arrangement) and divide by 2 (since there are two possible ways to arrange the students in any given seating arrangement, by simply rotating the arrangement). So the number of days before a seating arrangement is repeated is (8! - 1)/2 = 20,160.
(b) Larry, Moe, Curly, and Shemp must occupy the four front seats, so we need to choose four of the remaining four desks for the other students to sit at. This can be done in 4!/(4-4)! = 4! = 24 ways.
(c) We can treat the block of three students (ILB) as a single object, and then arrange the five remaining objects (M, O, A, X, and the ILB block) in a row. The ILB block can be arranged in 3! = 6 ways, and the other five objects can be arranged in 5! = 120 ways.
So the total number of potential seating arrangements in which ILB remains together is 6 x 120 = 720.
(d) The probability that Larry, Moe, Curly, and Shemp are sitting in the front seats is the number of possible seating arrangements in which they occupy the four front seats (24, from part b) divided by the total number of possible seating arrangements ([tex]8![/tex], from part a). So the probability is 24/8! = 1/280.
Learn more about permutations at
brainly.com/question/29855401
#SPJ4
6) In the diagram below, ABC → A'B'C'. List all the corresponding sides.
A
B
C
B'
A'
C'
Required corresponding sides are side AB corresponds to side A'B', side BC corresponds to side B'C', side AC corresponds to side A'C'
What is corresponding side?
In geometry, when two figures are similar, their corresponding sides are the sides that are in the same position and have the same relative orientation in each figure.
For example, consider two triangles ABC and DEF, where angle A is congruent to angle D, angle B is congruent to angle E, and angle C is congruent to angle F. If the length of AB is proportional to the length of DE, BC is proportional to EF, and AC is proportional to DF, then side AB corresponds to side DE, side BC corresponds to side EF, and side AC corresponds to side DF.
To list all the corresponding sides of two triangles ABC and A'B'C', we need to identify which side of triangle ABC corresponds to which side of triangle A'B'C'. Corresponding sides are those that are in the same position relative to each triangle.
We can identify the corresponding sides by comparing the positions of the vertices. For example, the side opposite vertex A in triangle ABC corresponds to the side opposite vertex A' in triangle A'B'C'. Similarly, the side opposite vertex B in triangle ABC corresponds to the side opposite vertex B' in triangle A'B'C', and so on.
Therefore, the corresponding sides are side AB corresponds to side A'B', side BC corresponds to side B'C', side AC corresponds to side A'C'.
Learn more about corresponding sides here,
https://brainly.com/question/27827375
#SPJ1
Geometric probability
Find the probability that a randomly selected point within the square falls in the red shaded area
The probability that a randomly selected point within the square falls in the red shaded area is approximately 0.2146 or about 21.46%.
To find the probability that a randomly selected point within the square falls in the red shaded area, we need to compare the area of the red shaded region to the area of the entire square.
Let the side length of the square be 2 units, and let the center of the circle be at the center of the square. Then, the radius of the circle is also 1 unit.
The area of the square is [tex](side length)^2[/tex] = [tex]2^2[/tex] = 4 square units.
The area of the circle is π[tex](radius)^2[/tex] = π[tex](1)^2[/tex] = π square units.
The red shaded area is the difference between the area of the square and the area of the circle, which is 4 - π square units.
Therefore, the probability that a randomly selected point within the square falls in the red shaded area is:
(red shaded area) / (area of the square) = (4 - π) / 4 ≈ 0.2146
So the probability is approximately 0.2146 or about 21.46%.
To learn more about shaded area please click on below link
https://brainly.com/question/26323290
#SPJ1
How do I factorise 2q^2+7q+3
Answer:
( 2q + 1 ) ( q + 3 )
Step-by-step explanation:
➟ 2q^2+7q+3
➟ ( 2q + 1 ) ( q + 3 )
A clothing truck has a base of 8 square meters. If it holds 12 cubic meters, what is the height of the truck?
Answer:
1.5 m
Step-by-step explanation:
Volume = base * height
12 = 8 * h
12/8 = h
1.5 = h
Three people are sitting on a bus. Austin is seated 12 feet directly behind Bernard and 9 feet directly left of Keenan. How far is Bernard from Keenan?
Answer: I would say 21 feet.
Step-by-step explanation:
Bernard is 12 feet ahead of Austin
So add 12 feet to get to Austin first
Then add the 9 feet that is apart from Austin and Bernard
12+9 = 21
21 feet would be the answer
Hope this helps ! ^^
Learn more about ft equations:
brainly.com/58602950
#SPJ1
Can someone help me to figure out this problem
Answer:
Step-by-step explanation:
17f+1i
6f+5f+4f=15f
11i+4i+10i=25i ---------> 2f+1i
1feet=12inch
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
The correct option regarding which bus has the least spread among the travel times is,
⇒ Bus 14, with an IQR of 6.
Now, First we consider the dot plot, which shows the number of times that each observation appears in the data-set.
Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data-set.
The interquartile range is a better measure of spread compared to the range of a data-set, as it does not consider outliers.
For groups of 15 students, we have that:
The first half is composed by the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.
The second half is composed by the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.
The quartiles for Bus 14 are given as follows:
Q1 = 12.
Q3 = 18.
Hence the IQR is of:
IQR = Q3 - Q1
= 18 - 12
= 6.
The quartiles for Bus 18 are given as follows:
Q1 = 9.
Q3 = 16.
Hence the IQR is of:
IQR = Q3 - Q1
= 16 - 9
= 7.
Hence, Bus 14 is the more consistent bus, due to the lower IQR.
To learn more about measures of spread visit: brainly.com/question/12750165
#SPJ1
a principal wants to know if students want to change the start time of the school day. which strategy is most likely to produce a representative sample?
A. ask each teacher to select one student.
B. select a day at random. Ask the first students who arrive at school that day.
C. Select students from a list of all students at random. Ask those students
D. Select tables in the library at random. Ask the students sitting at those tables..
Answer:
Either A or c
Step-by-step explanation:
A company is marketing a new video game. Market research indicates that 24% of the the market has seen an advertisement for the new game.
Suppose 42% of those who see the ad have purchased the game and 93% of those who have not seen the advertisement have not purchased the game. If you choose a person who purchased the game, what is the probability he or she did not see the ad?
Express your answer as a decimal, rounded to the nearest thousandth (three decimal places).
Answer =
The probability that a person who purchased the game did not see the advertisement is:0.659.
what is probability?
Probability is a measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability is used in many areas, including statistics, mathematics, science, finance, and gambling.
In the given question,
To solve this problem, we will use Bayes' theorem, which allows us to update our beliefs about the probability of an event based on new information.
Let A be the event that a person has seen the advertisement, and B be the event that a person has purchased the game. We want to find the probability of A given B, i.e., the probability that a person who has purchased the game has also seen the advertisement.
We know that P(A) = 0.24 (24% of the market has seen the advertisement), P(B|A) = 0.42 (42% of those who see the ad have purchased the game), and P(~A|~B) = 0.93 (93% of those who have not seen the advertisement have not purchased the game).
We can use the complement rule to find P(B|~A), the probability of purchasing the game given that the person has not seen the advertisement:
P(B|~A) = 1 - P(~B|~A) = 1 - 0.93 = 0.07
Now we can use Bayes' theorem:
P(A|B) = P(B|A) * P(A) / P(B)
where P(B) = P(B|A) * P(A) + P(B|~A) * P(~A)
Plugging in the values, we get:
P(B) = 0.42 * 0.24 + 0.07 * (1 - 0.24) = 0.2956
P(A|B) = 0.42 * 0.24 / 0.2956 = 0.3408
Therefore, the probability that a person who purchased the game did not see the advertisement is:
1 - P(A|B) = 1 - 0.3408 = 0.659
Rounded to the nearest thousandth, the answer is 0.659.
To know more about probability , visit:
https://brainly.com/question/30034780
#SPJ1
Write the series using sigma notation with lower limit n=4.
[tex]\begin{array}{cccccccccc} &\frac{-1}{4}\left( -\frac{1}{2} \right)&\frac{1}{8}\left( -\frac{1}{2} \right)&\frac{-1}{16}\left( -\frac{1}{2} \right)&\frac{1}{32}\left( -\frac{1}{2} \right)\\ -\cfrac{1}{4}&\cfrac{1}{8}&-\cfrac{1}{16}&\cfrac{1}{32}&-\cfrac{1}{64}... \end{array}\hspace{5em}\stackrel{\textit{common ratio}}{r=-\frac{1}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\qquad \qquad \textit{sum of a finite geometric sequence} \\\\ \displaystyle S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\qquad \begin{cases} n=\textit{last term's}\\ \qquad position\\ a_1=\textit{first term}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ r=-\frac{1}{2}\\ a_1=-\frac{1}{4} \end{cases}\implies \sum_{n=1}^{n=4}~-\frac{1}{4}\left( -\frac{1}{2} \right)^{n-1}[/tex]
a group of friends wants to know how many students bike to school. how can the median of the samples help you make an inference about the population?
The median of the samples can give an idea of the central tendency of the data and can help in making an inference about the population.
In this case, since the percent of students that bike to school varies from 20% to 50% in the samples, the median of the samples can provide an estimate of the median percent of students who bike to school in the population.
By analyzing the median of the samples, it may be possible to make an inference about the central tendency of the population, which could inform decisions about encouraging or improving biking to school.
To know more about median:
https://brainly.com/question/30473159
#SPJ4
--The given question is incomplete, the complete question is given
" a group of friends wants to know how many students bike to school. Survey Results In the samples, the percent of students that bike to school varies from 20% to 50% 19 20 21 22 14 15 16 17 18 Number of Students that Bike to School How can the median of the samples help you make an inference about the population? "--
The area of the circular base of a cylinder is 36π square units. the height of the cylinder is 2 units. what is the lateral area of the cylinder? express the answer in terms of π. 12π square units 24π square units 60π square units 72π square units
The lateral area of the cylinder is 24π square units.
To find the lateral area of the cylinder, we need to use the formula:
Lateral Area = Circumference of circular base × Height.
First, we will find the circumference of the circular base using the area given.
1. We know the area of the circular base is 36π square units.
The formula for the area of a circle is A = πr²,
where A is the area and r is the radius.
2. We are given A = 36π,
so 36π = πr².
3. Divide both sides by π to isolate r²:
36 = r².
4. Take the square root of both sides to find the radius:
r = 6 units.
5. Now that we have the radius, we can find the circumference of the circular base using the formula C = 2πr,
where C is the circumference.
6. Substitute r = 6 into the formula:
C = 2π(6) = 12π.
7. The circumference of the circular base is 12π units.
8. The height of the cylinder is given as 2 units.
9. Finally, we can find the lateral area using the formula Lateral Area = Circumference × Height.
10. Substitute C = 12π and H = 2 into the formula:
Lateral Area = 12π × 2 = 24π.
For similar question on cylinder.
https://brainly.com/question/30858645
#SPJ11
DETERMINE WHETHER THE GIVEN PAIR OF POLYGONS ARE SIMILAR OR NOT. IF THE POLYGONS ARE SIMILAR WRITE (A) CORRESPONDING CONGRUENT ANGLES (B) PROPORTIONAL SEGMENTS (C) RAIO OF SIMLITUDE AND (D) SIMILARITY STATEMENT. IF NOT STATE WHY NOT SIMILAR
The sides of the parallelogram are thus congruent. Hence, the parallelogram is similar.
What is congruent?Congruent refers to something that is "absolutely equal" in terms of size and form. The shapes hold true regardless of how we rotate, flip, or turn them. Draw two circles with the same radius, for instance, cut them out, then stack them on top of one another. We will see that they will superimpose, or be positioned entirely on top of, one another. This demonstrates the congruence of the two circles. The circles below may be put perfectly over one another and have the same radius, hence they are considered to be congruent.
For the parallelogram ESPR and ECTF, the scale factor is:
Scale factor = 9/3 = 3
The sides of the parallelogram are thus congruent. Hence, the parallelogram is similar.
Learn more about congruence here:
https://brainly.com/question/12413243
#SPJ1
a lizard is stuck in a 12 ft deep hole. every day it crawls 4 ft up the side of the hole. every night it slides down 2 ft. how long will it take the lizard to get out of the hole? dm me answer
Using the time formula, it will take the lizard 6days to reach the top of the well.
What is the time formula?The time formula, using distance and speed, is as follows:
Time = Distance ÷ Speed
The depth of the well and the lizard's position = 12 feet
Daily crawling-up rate = 4 feet
Daily crawling down rate = 2 feet
Difference between crawling up and slipping down rates = 2 foot per day ( 4- 2)
Therefore, the lizard's net average crawling up speed or rate = 2 foot per day
Time (in days) = Distance/Average Rate
12/2 = 6 days
Thus, for the lizard to reach the top of the well, it will take 6 days.
Learn ore about time ,distance and speed here :-
https://brainly.com/question/10939381
#SPJ4
the relationship between the amount of time a zebra runs at maximum speed and the distance it covers is shown. write an equation to describe this relationship.
The equation that describes the relationship between the time a zebra runs at a speed and the distance it covers is y = 2/3(x).
What is the equation of the line?A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.
Assuming that the relationship between the time a zebra runs at a speed and the distance it covers is a linear one, we can use the formula for the equation of a straight line:
y = mx + b
where y is the distance covered, x is the time the zebra runs at a speed, m is the slope (i.e., the speed of the zebra), and b is the y-intercept (i.e., the distance covered when the zebra is not running).
From the table two points can be formed as (x, y) that are, (3, 2) and (6, 4)
Using these two points, we can find the slope of the line:
m = (y₂ - y₁)/(x₂ - x₁)
= (4 - 2)/(6 - 3)
= 2/3
Now as we have the slope m we can use it in point slope form, i.e.
y - y₁ = m(x - x₁)
Using the point (3, 2),
y - 2 = 2/3(x - 3)
y - 2 = 2/3(x) - 2
y = 2/3(x) - 2 + 2
y = 2/3(x)
Hence, the equation that describes the relationship between the time a zebra runs at maximum speed and the distance it covers is:
y = 2/3(x)
To learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
Complete question:
The relationship between the amount of time a zebra run at maximum speed in the distance it covers is shown.
Write an equation to describe this relationship.
HELP PLEASE IT WAS DUE 10!!!
A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7.
A- 14 and 1 over 7 in2
B -23 and 4 over 7 in2
C -47 and 1 over 7 in2
D - 84 and 6 over 7 in2
A,B,C,D which one
Answer:
Step-by-step explanation:
Surface area of a cylinder = 2πr(r + h)
radiius = 1/2 diameter so the radius is 1/2 of 2 = 1
Surface are = 2(22/7)(1 )[(1 + 1.25)]
44/7 (2.25) = 99/7
This is for ONE muffin - mulitply by 6 to find out how much paper for
6 muffins,
6 × 99/7 = 594/7 = 84 6/7 in²
The altitude of an airplane is decreasing at a rate of 44 feet per second. What is the change in altitude of the airplane over a period of 37 seconds?
the altitude of the airplane would decrease by 1628 feet over a period of 37 seconds.
What is Rate?
A rate in arithmetic is a ratio that contrasts two separate values with various unit systems. For instance, if John types 50 words per minute, that means he types 50 words per minute. We are dealing with a rate because the word "per" is there. The symbol "/" can be used in place of the word "per" in issues.
When two or more similar amounts or numbers are being compared using the same units, a ratio is utilized. When referring to the ratio of one quantity "to" the second quantity in spoken language, it is frequently written with a colon.
To find the change in altitude, we need to multiply the rate of decrease by the time period:
change in altitude = rate of decrease × time period
So, in this case:
change in altitude = 44 feet/second × 37 seconds
change in altitude = 1628 feet
Therefore, the altitude of the airplane would decrease by 1628 feet over a period of 37 seconds.
Learn more about Rate, by the following link.
https://brainly.com/question/25793394
#SPJ1
a telephone survey of 1000 randomly selected us adults found that 31% of them say they believe in ghosts. does this provide evidence that more than 1 in 4 us adults believe in ghosts? clearly show all details of the test.
How can a telephone survey of 1000 randomly selected US adults provide evidence that more than 1 in 4 US adults believe in ghosts?The survey results provide evidence that more than one in four US adults believe in ghosts. The telephone survey was conducted on a random sample of 1000 US adults. The survey found that 31 percent of US adults believed in ghosts.
To determine whether more than one in four US adults believe in ghosts, the null and alternative hypotheses will be tested.The null hypothesis in this scenario is that less than or equal to 25% of US adults believe in ghosts. The alternative hypothesis is that more than 25% of US adults believe in ghosts.Therefore, the level of significance (α) will be determined.
The α level is typically set to 0.05. This means that the likelihood of making a type I error is 5%. Then, the z-score will be calculated as follows:z = (0.31 - 0.25) / sqrt[(0.25 x 0.75) / 1000]z = 2.83The obtained z-score will be compared to the critical z-value using a z-distribution table. The critical z-value is 1.96. Since the obtained z-score is greater than the critical z-value, the null hypothesis will be rejected. Therefore, there is evidence to suggest that more than one in four US adults believe in ghosts.
Learn more about telephone survey:
https://brainly.com/question/12992237
#SPJ11
for a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. if the test is being conducted at the 5% level of significance, the null hypothesis group of answer choices could be rejected or not rejected depending on the sample mean could be rejected or not rejected depending on the sample size. is rejected. is not rejected.
For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis C. is rejected
A one-tailed hypothesis test refers to a statistical test in which the alternative hypothesis is either greater than or less than the null hypothesis, but not both. Since the problem states that it is a one-tailed hypothesis test (upper tail), the alternative hypothesis, H1, will be a greater than or > sign. Hypothesis testing is the method of determining whether or not an assertion about a population parameter is consistent with sample data. A hypothesis test is conducted to assist in deciding between two competing hypotheses. One hypothesis is the null hypothesis (H0), which is a statement of the population parameter that is being tested.
In a hypothesis test, the null hypothesis is rejected if the test statistic falls in the rejection region. The test statistic, which measures the distance between a sample estimate and the null hypothesis, is used to assess whether or not the null hypothesis should be rejected. Reject the null hypothesis if the p-value is less than or equal to α. Since the p-value of 0.034 is less than the level of significance, α, of 0.05, the null hypothesis will be rejected, according to the question above. Therefore, option C is correct.
The Question was Incomplete, Find the full content below :
For a one-tailed hypothesis test (upper tail), the p-value is computed to be .034. If the test is being conducted at the 5% level of significance, the null hypothesis
a. could be rejected or not rejected depending on the sample size.
b. could be rejected or not rejected depending on the sample mean.
c. is rejected.
d. is not rejected.
Know more about the Hypothesis test here :
https://brainly.com/question/29576929
#SPJ11
a design that has two conditions with different participants in each condition is a(n) design. a) independent groups b) repeated measures c) solomon four-group d) pretest-posttest
A design that has two conditions with different participants in each condition is independent groups design. Hence option a) independent groups design is correct.
The student question refers to a design where there are two conditions with different participants in each condition.
An independent groups design, also known as a between-subjects design, involves comparing two or more groups of participants who are not the same individuals.
In this type of design, each participant is exposed to only one level of the independent variable.
The groups are formed independently of each other, and any differences between them can be attributed to the manipulation of the independent variable.
An independent groups design: Identify the research question and the independent variable. Form two or more groups of participants, ensuring that they are independent of each other.
Manipulate the independent variable for each group, ensuring that each participant is exposed to only one level of the variable.
Option b is wrong because repeated measures design involves testing the same participants under different conditions or at different times.
Option c is wrong because solomon four-group design is a complex design involving four groups with two groups receiving a pretest, and two groups not receiving a pretest.
Option d is wrong because the pretest-posttest design involves assessing participants before and after a treatment or intervention.
The correct option is a) independent groups design.
For similar question on independent groups design.
https://brainly.com/question/29642511
#SPJ11
Find the shaded area. Round your answer to the nearest tenth, if necessary.
Use 3.14 for pi.
Area of the Rectangle =
Area of the Circle =
Total Shaded Area =
Answer:
Area of the rectangle - 144 in^2
Area of the circle - 28,26 in^2
Total shaded area - 115,74 in^2
Step-by-step explanation:
[tex]a(rectangle) = 18 \times 8 = 144 \: {in}^{2} [/tex]
[tex]a(circle) = \pi \times {r}^{2} = {3}^{2} \times \pi = 9\pi = 9 \times 3.14 = 28.26 \: {in}^{2} [/tex]
[tex]a(shaded) = a(rectangle) - a(circle)[/tex]
[tex]a(shaded) = 144 -28.26 = 115.74 \: {in}^{2} [/tex]
how to calculate a baseball player has a batting average of 0.365. what is the probability that he has exactly 1 hits in his next 7 at bats? Round your answer to four decimal places. The probability the baseball player has exactly 4 hits in his next 7 bats is
The probability that the baseball player has exactly 1 hit in his next 7 at-bats is 0.2908, rounded to 4 decimal places.
It is a statistic that measures the performance of baseball players. It is the ratio of the number of hits to the number of at-bats.
Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1.
Static means the precise value of something, without approximation or estimation.
It is a process of approximating a number to a specific number of decimal places.
A baseball player has a batting average of 0.365. The probability that he has exactly 1 hit in his next 7 at-bats is to be found.
Step 1: Calculate the probability of getting a hit in one at-bat. The probability of getting a hit in one at-bat is equal to the batting average of the player.
P(hit) = 0.365
Step 2: Calculate the probability of not getting a hit in one at-bat. The probability of not getting a hit in one at-bat is equal to the difference between 1 and the batting average.
P(not hit) = 1 - 0.365 = 0.635
Step 3: Calculate the probability of getting exactly 1 hit in 7 at-bats. The probability of getting exactly 1 hit in 7 at-bats can be calculated using the binomial probability formula:
P(1 hit in 7 at-bats) = 0.2908 (rounded to 4 decimal places)
You can learn more about probability at: brainly.com/question/743479
#SPJ11
Determine the slope between the two points: (-9,5) and (3,2)
Answer:
Let (x1, y1) = (-9, 5) and (x2, y2) = (3, 2) be the two points.
The formula for finding the slope between two points is:
m = (y2 - y1) / (x2 - x1)
Substituting the values, we get:
m = (2 - 5) / (3 - (-9))
m = -3 / 12
m = -1/4
Therefore, the slope between the points (-9, 5) and (3, 2) is -1/4.
Answer:
M = -1/4
Step-by-step explanation:
(y2-y1)/(x2-x1) = Slope
we use the x and y components of the given coordinates to find out the answer.
Therefore,
(2-5)/(3-(-9)) = -1/4
alemu earn birrs 10000 per month,calculate
a, the income tax he has to pay
b.the net income after deducting income tax
Alemu's net income after deducting income tax is 9,470 birrs per month, assuming he lives in Ethiopia and the income tax rates for the current tax year apply.
We must take into account the income tax rates in Alemu's nation for the current tax year in order to determine how much income tax he must pay. We cannot provide an exact response since we are unsure about Alemu's country of residence. The income tax rates in Ethiopia, where the first 6,000 birr of income are tax-free and the remaining amount is subject to progressive taxes, range from 10% to 30%, can be used as an example, though.
Alemu's monthly taxable income, assuming he resides in Ethiopia, would be 4,000 birrs (between 10,000 and 6,000). He must pay the following amount of income tax:
180 birr (10% of the first 1,800 birr)
15% of the following 1,800 birrs is 270 birrs.
80 birrs are 20% of the remaining 400 birrs.
Alemu would therefore pay 530 birrs in total income tax each month.
Alemu's net income would be 9,470 birrs after income tax. This is the sum of cash he would have on hand to cover personal costs, savings, investments, and any other debts. It is crucial to remember that the net income amount may change depending on a number of variables, including deductions for social security, health insurance, or any other needed legal payments.
In conclusion, assuming Alemu lives in Ethiopia and the income tax rates for the current tax year are applicable, Alemu's net income after income tax is 9,470 birrs each month.
Learn more about net income here:
https://brainly.com/question/1232765
#SPJ1
Does anybody know the answer..?
The point (1, 5) is a solution of the first equation, and is not a solution of the second one (and thus the system)
Is the point a solution?Here we want to see if the point (1, 5) is a solution of some given equations.
The first equation is:
d + s = 6
let's assume that the notation for the point is (d, s), then we can replace these values in the equation above to get:
1 + 5 = 6
6 = 6
So yes, the point is a solution here.
For the next equation we have:
10d + 28s = 78
Replacing the values:
10*1 + 5*28 = 78
150 = 78
So no, here is not a solution.
And the point is a solution of the system only if it is a solution of both of the equations, then the point is not a solution of the system,
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Identify the similarities and differences between a square and a rhombus.
Triangle ABC has coordinates A(4,-2), B(5,5), C(-1,3). Determine if triangle ABC is an equilateral triangle.
Triangle ABC is an ........ triangle because ..........
Triangle ABC's sides are not equal in length, hence it's not an equilateral triangle.
What does Class 7 equilateral triangle mean?It has three equal sides. The three angles are equal. Every edge of an equilateral is 60 degrees since the total of the inner angles equals 180 degrees. It has three regular sides and is a polygon. A vertex's height and median are represented by a single line.
What is equilateral, exactly?A triangular with equally length sides is known as an equilateral in geometry. The three angles opposing the three equal sides are equal in size because the three are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.
Using the distance formula, we can find the lengths of the three sides:
[tex]AB = \sqrt{((5 - 4)^2 + (5 - (-2))^2)} = \sqrt{(2^2 + 7^2)} = \sqrt{(53)}[/tex]
[tex]BC = \sqrt{((-1 - 5)^2 + (3 - 5)^2) } = \sqrt{((-6)^2 + (-2)^2)} = \sqrt{(40)}[/tex]
[tex]CA = \sqrt{((4 - (-1))^2 + (-2 - 3)^2)} = \sqrt{(5^2 + 5^2)} = \sqrt{(50)}[/tex]
Since AB, BC, and CA have different lengths, the triangle is not equilateral.
Therefore, the answer is: Triangle [tex]ABC[/tex] is not an equilateral triangle because its sides have different lengths.
To know more about equilateral triangle visit:
https://brainly.com/question/29985839
#SPJ1
Since AB and AC have the same length, but BC has a different length, Therefore, ΔABC is not an equilateral triangle.
What is an equilateral triangle?Equilateral triangles are those with three sides that are all the same length.
In other words, all three sides of an equilateral triangle are of the same length, and all three angles within the triangle are also equal to 60 degrees.
Equilateral triangles are a type of regular polygon, which means that they have congruent sides and congruent angles.
Triangle ABC is not an equilateral triangle because its side lengths are not all equal.The lengths of the sides can be determined using the distance formula:
AB = √((5-4)² + (5-(-2))²) = √(1 + 49) = √(50)
BC = √((5-(-1))² + (5-3)²) = √(36 + 4) = √(40)
AC = √((4-(-1))² + (-2-3)²) = √(25 + 25) = √(50)
To know more about regular polygon visit:
https://brainly.com/question/1574028
#SPJ1