Answer:
y = 48-------------------------
Direct variation equation:
y = kx, where k - variation coefficientUse the first pair of coordinates, x = 3 and y = 8 to find the value of k:
8 = 3kk = 8/3The equation becomes:
y = (8/3)xNow use the value of x = 18 to find the missing coordinate:
y = (8/3)*18 y = 48Your grandmother will be giving you $10,000 every year for the next five years, the first payment beginning at the end of the first year
A) If you invest these receivables in a bank at 6%, what is the total value at the end of 10 years if you make withdrawals of $3,000 in years 9 and 10?
B) An investor expects to receive $3,000 in year 2, $5,000 in year 5, and $7,000 in year 7. What is the present value of these payments if the interest rate is 8%?
Please also write the Excel formulas.
Answer:
a. The present value of these receivables is $42,123.64
b. The total value at the end of 10 years is $69,257.02
c. The present value of these payments is $10,059.37
Step-by-step explanation:
pls help ☹️!! this coordinate algebra
Answer:
(b) 0.083
Step-by-step explanation:
You want the probability that a part is New and Passed the test, given the distribution of parts as shown in the table.
Probability"This group" consists of all the parts described by the table. That is a total of ...
5 + 23 + 2 + 30 = 60
parts.
Of those 60 parts, the number that is found in the table cell (New, Passed) is 5. This means 5/60 = 1/12 ≈ 0.083 of the total number of parts shown were New and Passed the test.
The probability of choosing one of those parts at random is 0.083.
__
Additional comment
This is not "coordinate algebra". It is probability.
A pet store has 11 puppies, including 5 poodles, 3 terriers, and 3 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with
a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
The probability is
The probability that they both select a poodle is bigger. The probability is 0.074
How is this so?In the store, there are 11 puppies, and 3 of them are poodles.
If Rebeca and Aaron chose at random, then the probabilities are; for Rebbeca, there is a 3/11 probability to get a poodle ( because there are 3 poodles of eleven dogs) and the probability for Aaron is 2/10 because now there are one less poodle (and in consequence one less puppy)
now, the joint probability of these two events happening is the product of each probability, this is:
p = (3/11)*(2/10) = 6/110, that we can simplify at 3/55 if we divide both denominator and numerator by 2.
If the dog is replaced after Rebeca picked hers, then Aaron also has a 3/11 probability of picking a poodle, and in that case, the joint probability is:
q = (3/11)*/3/11) = 9/121
now, p = 3/55 = 0.055 and q = 9/121 = 0.074
Thus, this means that the probability of both of them selecting a poodle is bigger when the dog is replaced (which makes a lot of sense)
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Find the average for the set of numbers 7, 6, 12, 5, 7, 6, 13.
Answer:
8
Step-by-step explanation:
To find the average of a set of numbers, you add up all the numbers in the set and then divide by the total number of numbers in the set.
So, to find the average of the set of numbers 7, 6, 12, 5, 7, 6, 13, you would first add up all the numbers:
7 + 6 + 12 + 5 + 7 + 6 + 13 = 56
Then you would divide the sum by the total number of numbers in the set, which is 7:
56 / 7 = 8
Therefore, the average of the set of numbers 7, 6, 12, 5, 7, 6, 13 is 8.
Answer:
the answer you are looking for would be 8
A student ran a distance of 3 1/2 miles each day for five days the student ran a distance of 4 1/4 miles each day for the next five days what was the total distance in miles the student ran darrion is five days
Darrion ran a total distance of 38 3/4 miles in 10 days.
We have,
To find the total distance Darrion ran in 10 days, we need to add up the distance he ran in the first five days and the distance he ran in the next five days.
Distance ran in the first five days
= 3 1/2 miles per day x 5 days
= 17 1/2 miles
Distance ran in the next five days
= 4 1/4 miles per day x 5 days
= 21(1/4) miles
Total distance Darrion ran in 10 days
= Distance ran in the first five days + Distance ran in the next five days
= 17 1/2 miles + 21 1/4 miles
= 38 3/4 miles
Therefore,
Darrion ran a total distance of 38 3/4 miles in 10 days.
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In ADEF, what is the length of segment DF?
F
60°
E
D
45
The calculated value of the length of segment DF is 51.96 units
Calculating the length of segment DF?From the question, we have the following parameters that can be used in our computation:
The right triangle
The length of segment DF is then calculated as
sin(60) = DE/DF
Substitute the known values in the above equation, so, we have the following representation
sin(60) = 45/DF
So, we have
DF = 45/sin(60)
Evaluate the quotient
DF = 51.96
Hence, the segment DF is 51.96 units
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Diagram NOT accurately drawn The radius of this circle is 8 cm. Work out the circumference of the circle. Give your answer correct to 2 decimal places. 8 cm (Total 2 ma
Step-by-step explanation:
If radius is 8cm then diameter = 16 cm
circumference of a circle = pi * d = pi * 16 cm = ~ 50.27 cm
Consider the diagram.
Planes M and N intersect at line d. Lines a, b, and e are on plane M. Line a is vertical and forms a right angle with line d. Line b is diagonal and goes up and to the right. Line e is at the top of the plane and is close to being horizontal. Line c is on plane N and goes slightly up and to the right.
Lines a and d are
The line a and line d are perpendicular to each other.
How to identify a perpendicular line?Perpendicular lines and intersecting lines are the same because they both describe 2 lines that cross one another.
Perpendicular lines cross one another in a specific way. The intersection of perpendicular lines forms 90 degree angles.
Constructing lines a and d:
After constructing the two lines; line a and line intersect or meet each other at 90 degrees to the horizontal.
Thus, we can conclude that the line a and line d are perpendicular to each other.
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Answer:line a and line d are perpendicular
saw the answers
1. If AACB AEDF, what is the measure of ZEFD.
Answer:
Step-by-step explanation:
110
Is 9/10 more than 78/100
The fraction 9/10 is more than 78/100.
In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that are combined in a meaningful way.
To compare these two fractions, we can convert them to have a common denominator. In this case, the common denominator is 1000.
9/10 = (9/10) x (100/100) = 900/1000
78/100 = (78/100) x (10/10) = 780/1000
Now we can see that 900/1000 (which is equivalent to 9/10) is greater than 780/1000 (which is equivalent to 78/100).
Therefore, 9/10 is more than 78/100.
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someone please help me
The linear equations and the values of the variables of the equations are;
(-2, 4)(0, 3)x = 1/3, y = 0x = 1. y = 5x = -2, y = -2x = 10, y = -3x = 8 GB, y = 88, B. Going with Company B is not a good ideax = 14, y = 42Cost of a shampoo = (147 - b·y)/x, cost of a conditioner = (147 - a·x)/yA linear equation is an equation that can be presented as; y = mx + c, where m is the slope and c is the y-intercept.
1. Please find attached, the graph of the equations y = 2x and y = 3x + 2, created with MS Excel, showing the solution point (-2, 4)
The solution is x = -2, y = 4
2. Please find attached, the graph of the equations y = 2x and y = 3x + 2, created with MS Excel, showing the solution point (0, 3)
The solution is x = 0, y = 3
3. The equations are solved using substitution as follows;
y = 2 - 6·x
9·x + 2·y = 3
Therefore;
9·x + 2×(2 - 6·x) = 3
4 - 3·x = 3
3·x = 4 - 3 = 1
x = 1/3
y = 2 - 6·x
y = 2 - 6 × 1/3 = 0
y = 0
4. 8·x + 7·y = 43
2·x + y = 7
Therefore;
y = 7 - 2·x
8·x + 7·y = 43
8·x + 7 × (7 - 2·x) = 43
49 - 6·x = 43
6·x = 49 - 43 = 6
x = 6/6 = 1
x = 1
y = 7 - 2·x
y = 7 - 2 × 1 = 5
y = 5
5. y = 8 + 5·x
Therefore where 7·x + 9·y = -32, we get;
7·x + 9 × ( 8 + 5·x) = -32
52·x + 72 = -32
52·x = -32 - 72 = -104
x = -104/52 = -2
x = -2
y = 8 + 5·x
y = 8 + 5 × (-2) = -2
y = -2
6. x = 4 - 2·y
x = 1 - 3·y
Therefore; 4 - 2·y = 1 - 3·y
3·y - 2·y = 1 - 4 = -3
y = -3
x = 1 - 3·y
x = 1 - 3 × (-3) = 10
x = 10
7. The cost for Company is C = 5·x + 48
The cost for Company 2 is C = 11·x
Therefore; 5·x + 48 = 11·x
11·x - 5·x = 48
6·x = 48
x = 48/6 = 8
The amount of data in GB at which the cost of both options are the same is 8 GB
y = 11 × 8 = 88
B. The amount of data at which the cost of both options are the same indicates that when using a small data amount, the cost of Company 2 is much more affordable, however, after 8 GB, the cost of using Company 1 becomes more affordable, hence going with Company 2 is not a good idea
8. Let x represent the number of students who can ride in a van and let y represent the number of students who can right in a bus, we get;
5·x + 3·y = 196
x + 6·y = 266
x = 266 - 6·y
Therefore;
5·x + 3·y = 196
5 × (266 - 6·y) + 3·y = 196
1330 - 27·y = 196
1330 -196 = 27·y
1134
y = 1134/27 = 42
y = 42
x = 266 - 6·y
x = 266 - 6 × 42 = 14
x = 14
9. Let x represent the number of bottles the shampoo and let y represent the number of bottles of the conditioner bought, therefore;
x + y = 19
Let a represent the cost of a shampoo and let b represent the cost of a conditioner
a·x + b·y = 147
The cost of a shampoo, a = (147 - b·y )/x
Cost of a conditioner, b = (147 - a·x )/y
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¿Cuántas caras laterales tiene una pirámide cuya base es una figura de seis lados? ¿Y si su base fuera de diez lados?
The number of lateral faces of a pyramid with a six-sided base depends on the type of pyramid.
We have,
The number of lateral faces of a pyramid with a six-sided base depends on the type of pyramid.
If it is a regular pyramid, meaning that the base is a regular hexagon and the apex is directly above the center of the base, then it will have six lateral faces, each of which is a triangle.
If the pyramid is not regular, then it will have more than six lateral faces, but the exact number will depend on the specific shape of the base and the position of the apex.
If the base of a pyramid has ten sides, again, the number of lateral faces depends on the type of pyramid.
If it is a regular pyramid, meaning that the base is a regular decagon and the apex is directly above the center of the base, then it will have ten lateral faces, each of which is a triangle.
If the pyramid is not regular, then it will have more than ten lateral faces, but the exact number will depend on the specific shape of the base and the position of the apex.
Thus,
The number of lateral faces of a pyramid with a six-sided base depends on the type of pyramid.
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The complete question:
How many lateral faces does a pyramid whose base is a six-sided figure have? What if its base had ten sides?
What’s the probability that event A or B takes place?
The probability that event A or B takes place is P ( A ∪ B ) = 4/13
Given data ,
Let the probability of event A happening P ( A ) = 1/13
Let the probability of event B happening P ( B ) = 3/13
And , the probability of event A and B happening P ( A ∩ B ) = 0
So , from the probability rule ,
The probability that event A or B takes place is P ( A ∪ B ) and
P ( A ∪ B ) = P ( A ) + P ( B ) - P ( A ∩ B )
On simplifying , we get
P ( A ∪ B ) = 1/13 + 3/13 - 0
P ( A ∪ B ) = 4/13
Hence , the probability is 4/13
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The table shows the amount of money that Sarah charges customers to sell newspapers. The table represents a linear functions.
Question 10 options:
Sarah charges $5 before she begins selling newspapers
Sarah does not charge her costumers unless she has sold newspapers for at least 2 hours
Sarah charges $5 an hour to sell newspapers
Sarah earns 7$ for 1 hours of work
Figured it out, It's the 1st answer, Sarah charges $5 before she begins
The linear function y = 2x + 5 shows that Sarah charges $5 as fixed amount before she begins selling newspapers.
The table representing amount of money which Sarah charges her customers to sell newspapers.
Let us consider 'x' represents the time per hour charges taken by Sarah from customers.
In the table,
For zero hours charges are $5.
It means Fixed charges taken by Sarah to sell newspaper.
Difference between the rate per hour is,
$7 - $5 = $2
$9 - $7 = $2
It represents for Sarah charges $2 per hour.
let us consider 'y' that represents total amount charges by Sarah.
Required linear function for selling news paper and charging amount is
y = $5 + 2x
⇒ y = 2x + 5
Therefore, the linear function y = 2x + 5 represents option 1. Sarah charges $5 before she begins selling newspapers.
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Write a rational function with no vertical asymptotes and no holes. Explain.
The rational function f(x) = (x² + 1)/(x² + 2x + 2) has no vertical asymptotes and no holes.
We have,
A rational function is a function that can be expressed as the ratio of two polynomials.
It can have vertical asymptotes and/or holes in its graph, depending on the behavior of the denominator polynomial.
To construct a rational function with no vertical asymptotes and no holes, we need to ensure that the denominator polynomial does not have any real roots.
This means that the denominator polynomial should either have no roots or only complex roots.
One way to achieve this is to use a quadratic polynomial in the denominator that has no real roots.
For example, consider the function:
f(x) = (x² + 1)/(x² + 2x + 2)
The denominator polynomial x² + 2x + 2 has no real roots because its discriminant, 2² - 4(1)(2) = -4, is negative.
This means that the function f(x) has no vertical asymptotes.
To check if the function has any holes, we need to simplify the function by canceling out any common factors between the numerator and denominator.
However, since the numerator x² + 1 has no common factors with the denominator, there are no terms to cancel out.
Therefore, the function f(x) has no holes either.
Thus,
The rational function f(x) = (x² + 1)/(x² + 2x + 2) has no vertical asymptotes and no holes.
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your goal is to create a college fund for your child. suppose you find a fund that the fees an apr of 4% . how much should you deposit monthly to accumulate $88,000 in 17 years?
To accumulate $88,000 (future value) in 17 years in a fund that attracts an APR of 4%, the monthly deposit should be $301.89
How the monthly deposit is computed:The monthly deposit can be determined from the future value using an online finance calculator.
N (# of periods) = 204 months (17 years x 12)
I/Y (Interest per year) = 4%
PV (Present Value) = $0
FV (Future Value) = $88,000
Results:
PMT (Monthly Deposits) = $301.89
Sum of all periodic payments = $61,585.56
Total Interest = $26,414.44
Thus, when $301.89 is deposited monthly in a fund earning 4% APR, the future value can become $88,000.
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How do you complete these problems?
I just need help understanding how to get the answer. Thanks.
1. The area of the smaller rectangle is approximately 96 in².
2. The length of the hypotenuse of the smaller triangle is 32 units.
1. How to solve for the area of the smaller rectangleIf the scale factor of two similar rectangles is 4/7, then the ratio of their areas is (4/7)^2 = 16/49. This means that the area of the smaller rectangle is (16/49) times the area of the larger rectangle.
Let A be the area of the smaller rectangle. Then we have:
A = (16/49) * 294 in²
A = 96 in² (rounded to the nearest whole number)
Therefore, the area of the smaller rectangle is approximately 96 in².
2. 4/9, which simplifies to 2/3.
This means that the length of the hypotenuse of the smaller triangle is (2/3) times the length of the hypotenuse of the larger triangle.
Let x be the length of the hypotenuse of the smaller triangle. Then we have:
(2/3) * 48 = x
x = 32 units
Therefore, the length of the hypotenuse of the smaller triangle is 32 units.
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State the formula.
cos(x − y) =
Answer:
Step-by-step explanation:
сosx*cosy+sinx*siny
The histogram shows the result of a survey about the number of hours students watch television on the weekend.
How many students participated in the survey?
The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.
What is a histogram?A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.
The number of students who watched between 0 - 4 hours = 20
The number of students who watched between 5 - 9 hours = 40
The number of students who watched between 10 - 14 hours = 30
The number of students who watched between 15 - 19 hours = 20
The number of students who watched between 20 - 24 hours = 15
The total number of students who participated = 125
Thus, using the histogram, the total number of students who participated in the survey was 125.
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In a dice game you win $1 if you roll a 1,2,3, or 4. If you roll a 5 or 6 you lose $2. What is the expected value of the game?
Answer:
Step-by-step explanation:
no higher than 4
please help me what to write in the boxes/answers
Answer:
There are no boxes bro so how can I answer you . I gonna get better to see your boxes but I can't see i think there is a attachment you forget to take with quest .Because this quest is not looking like Mathematics it's like English Grammar.If you didn't like my answer you will say anything you want . But in my decision you my bestfriend. I help others to give answers so I am trying my best.
-Thank You By MrIshaan
Please answer the question I need this today
Answer:
C
Step-by-step explanation:
8 x 10^4 = 80,000
3 x 10^3 = 3,000
1 x 10 ^2 = 100
2 x 10^1 = 20
add it up
83,120
C is correct
(b) What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 10 minutes? The probability is approximately enter your response here.
Probability that a random sample of 45 oil changes result in a sample mean time less than 10 minutes is 0.0001
Given information:
The mean time is, = 16.2 min.
The standard deviation = 3.4 min.
Let X' is sample mean time :
Now the sample mean time is given by the equation
Z = (X' - μ) / (σ/√n)
Where, μ population mean time
(σ) is Standard deviation
(A) Probability of random sample of 45 oil changes:
p (X' < 10) = 1 - p (Z ≤ 12.33)
Z = (10 - 16.2) / (3.4 √45)
p (X' < 10) = 1 - 0.9999
p (X' < 10) = 0.0001
Hence,
As, the highest critical value of Z is given as 4.40 which has an area of 0.9999.
Thus, Probability that a random sample of 45 oil changes result in a sample mean time less than 10 minutes is 0.0001.
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Complete question is,
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.
(a) What is the probability that a random sample of n = 45 oil changes results in a sample mean time less than 10 minutes?
Polygon D has been dilated to create polygon D′.
Polygon D with top and bottom sides labeled 8 and left and right sides labeled 9.5. Polygon D prime with top and bottom sides labeled 6.4 and left and right sides labeled 7.6.
Determine the scale factor used to create the image.
Scale factor of 0.6
Scale factor of 0.8
Scale factor of 1.2
Scale factor of 1.6
Answer: The scale factor used to create the image is 0.8
Step-by-step explanation: To determine the scale factor used to create the image, we can divide the corresponding side lengths of the dilated polygon D' by the corresponding side lengths of the original polygon D.
For example, the top and bottom sides of polygon D have a length of 8, while the corresponding sides of polygon D' have a length of 6.4.
So, the scale factor used to create the image is:
6.4 / 8 = 0.8
Therefore, the scale factor used to create the image is 0.8.
HELPPPPPPPPPPP!!
The Jones family was one of the first to come to the U.S. They had 6 children. Assuming that the probability of a child being a girl is .5, find the probability that the Jones family had:
at least 4 girls?
at most 3 girls?
The probability that the Jones family had at least 4 girls is 0.5625 and the probability that the Jones family had at most 3 girls is 0.65625.
We can use the binomial probability formula to solve this problem. Let X be the number of girls in the Jones family, then X follows a binomial distribution with parameters n = 6 and p = 0.5.
The probability of having k girls in a family of 6 children is given by:
P(X = k) = (6 choose k) * [tex]0.5^{k}[/tex] * [tex]0.5^{6-k}[/tex]
where (6 choose k) is the binomial coefficient.
To find the probability of having at least 4 girls, we need to calculate the probability of having 4, 5, or 6 girls and add them up:
P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6)
= (6 choose 4) * [tex]0.5^{4}[/tex] * [tex]0.5^{2}[/tex] + (6 choose 5) * [tex]0.5^{0.5}[/tex] * [tex]0.5^{1}[/tex] + (6 choose 6) * [tex]0.5^{6}[/tex] * [tex]0.5^{0}[/tex]
= 0.234375 + 0.3125 + 0.015625
= 0.5625
Therefore, the probability that the Jones family had at least 4 girls is 0.5625 or 56.25%.
To find the probability of having at most 3 girls, we need to calculate the probability of having 0, 1, 2, or 3 girls and add them up:
P(X <= 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (6 choose 0) * [tex]0.5^{0}[/tex] * [tex]0.5^{6}[/tex] + (6 choose 1) * [tex]0.5^{1}[/tex] * [tex]0.5^{5}[/tex] + (6 choose 2) * [tex]0.5^{2}[/tex] * [tex]0.5^{4}[/tex] + (6 choose 3) * [tex]0.5^{3}[/tex] * [tex]0.5^{3}[/tex]
= 0.015625 + 0.09375 + 0.234375 + 0.3125
= 0.65625
Therefore, the probability that the Jones family had at most 3 girls is 0.65625 or 65.625%.
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Which distribution is positively skewed?
O A.
OB.
O C.
ח
0 2
4
8 10
5
H
14
HHHH
24
6
8 10 12 14 16 18 20 22 24 26 28 30
The distribution that is positively skewed would be the Box plot in Option C.
What does a positive skew mean ?When discussing distributions, a positive skew refers to the tail being lengthier on the right side as opposed to the left. As such, more extreme values are located on the right-hand portion of said distribution.
To put it another way, there is a predominance of data clustering toward the left with only a handful of instances where extreme values are found further along the right-hand scale. This scenario would prompt an observer to note how the mean outstrips the median.
The box plot in option C has most of the data towards the left side which is the positive side so this is positively skewed.
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Determine the approximate length of AC.
Answer:7 units
Step-by-step explanation:
10. suppose a scatterplot is created from the points in the following table. when x=7, what is the second coordinate in a scatterplot of the linearized data? round the answer to the tenth place.
a. 0.8
b. 2.1
c. 54.3
d. 112.8
11. the equation that best models the linearized data for a particular data set is log y= 0.75821x+0.03442. find the approximate value x=4. round your answer to the nearest whole number.
a. 3
b. 25
c. 1,168
d. 62,034
When x = 7, what is the second coordinate in a scatter plot is: D. 112.8.
The approximate value x=4 to the nearest whole number is; C. 1,168.
How to determine the equation of line of best fit?In this scenario, the x-values would be plotted on the x-axis (x-coordinate) of the scatter plot while the y-values would be plotted on the y-axis (y-coordinate) of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an exponential equation for the line of best fit (trend line) on the scatter plot.
From the scatter plot (see attachment) which models the relationship between the x-values and y-values, an exponential equation for the line of best fit is given by
[tex]y = 31.86e^{0.18x}[/tex]
when x = 7, the second coordinate in this scatter plot is given by;
[tex]y = 31.86e^{0.18(7)}[/tex]
y = 112.8
logy = 0.75821x+0.03442
logy = 0.75821(4) +0.03442
logy = 3.03284 +0.03442
logy = 3.06726
y = log⁻¹(3.06726)
y = 1167.5084 ≈ 1,168
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Originally, a Petri dish contained 200,000 bacteria. After a scientist applied an antibiotic, the number of bacteria decreased by 75% per hour.
Which function could model this situation?
well, we know the number of bacteria is decreasing, so we can use a Decay equation for that, with a 75% rate of decay.
[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &200000\\ r=rate\to 75\%\to \frac{75}{100}\dotfill &0.75\\ t=hours \end{cases} \\\\\\ A = 200000(1 - 0.75)^{t} \implies A = 200000(0.25)^t[/tex]
Find the area of each figure. Round to the nearest hundredth where necessary.
Answer:
28(17) + π(7^2)
= 476 + 49π square meters
= 629.94 square meters