The probability of the spinner not landing on A is 0.47.
How to find the probability you can expect the spinner to not land on A?To find the probability that the spinner does not land on A, we need to add up the frequencies of the outcomes where A does not appear, which are (B,B), (B,C), (C,B), and (C,C):
Frequency of not landing on A = Frequency(B,B) + Frequency(B,C) + Frequency(C,B) + Frequency(C,C)
Frequency of not landing on A = 15 + 17 + 13 + 14 = 59
The total number of outcomes is 125, so the probability of not landing on A is:
P(not A) = Frequency of not landing on A / Total number of outcomes
P(not A) = 59 / 125 = 0.47
Therefore, the probability of the spinner not landing on A is 0.47.
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Use your understanding of populat
2. A school board randomly samples 80 students to determine their opinion on requiring school uniforms for the next school year. The table shows the results of the survey.
OPPOSED
11
UNDECIDED
24
IN FAVOR
45
a. If 1,200 students are in the district, how many students can be expected to oppose school uniforms? x = 1/9
b. Bernice says that based on the survey, a student is more likely to be undecided or opposed than in favor. Do you agree or disagree? Why or why not?
CManeuvering the Middle LLC
a. If 1,200 students are in the district, 165 students can be expected to oppose school uniforms.
b. From the sample, the most likely outcome is in favor, as it got the most responses, hence we should disagree with Bernice.
What is proportion?A proportion is a fraction of the total amount.
Out of 80, 11 opposed, hence, out of 1200, we apply the proportion and find that the amount will be of:
1200 x 11/80 = 165.
Hence, a - 165 students can be expected to oppose school uniforms.
b - We should disagree with Bernice because the sample indicates that the outcome in favor is the most likely because it received the most answers.
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Describe the graph of y=1/2x-10 compared to the graph of y=1/x
Answer:
The graph of y=1/2x-10 is a straight line with a slope of 1/2 and y-intercept of -10. It slopes upward from left to right and intersects the y-axis at -10.
On the other hand, the graph of y=1/x is a hyperbola that passes through the origin and has asymptotes at x=0 and y=0. It consists of two branches that curve towards the asymptotes in opposite directions.
Compared to the graph of y=1/x, the graph of y=1/2x-10 is a simpler and more predictable shape. It does not have asymptotes and has a constant slope. It also does not pass through the origin, unlike the graph of y=1/x.
Wok out the probability of rolling one 6 from 2 throws on a biased dice rolling 6 1/5 of the time
Wok out the probability of rolling one 6 from 2 throws on a biased dice rolling 6 1/5 of the time is 8/25
The given data is as follows:
Number of throws = 2
probability of rolling number = 6
The probability of getting dice one 6 from 2 throws can happen in two different ways.
1. Rolling a number 6 on the first throw and not getting a number 6 on the second throw.
2. Not rolling a number 6 on the first throw and getting a number 6 on the second throw.
Here, the multiplication rule of probability is used to find the probability of the above two different events.
1.
The probability of getting a 6 on the first throw = is 1/5
The Probability of not getting a 6 on the second throw = (4/5)
The Probability of both happening: (1/5) x (4/5) = 4/25
2.
The Probability of not getting a 6 on the first throw = (4/5)
The Probability of getting a 6 on the second throw = (1/5)
The Probability of both happening: (4/5) x (1/5) = 4/25
The probability of both events is = 4/25 + 4/25 = 8/25
Therefore we can conclude that the probability of getting one 6 from 2 throws on a dice rolling 6 1/5 of the time is 8/25.
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please help urgently !
The required measure of y in the given triangle is 14 cm.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
Following the property of proportionality of sides in similar triangles,
8 + 3.2 / 8 = y / 10
11.2/8 = y / 10
112 = 8y
y = 14
Thus, the required measure of y in the given triangle is 14 cm.
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If f(x)) is an exponential function where f(-1)=18and f(5)=75, then find the value of f(2.5),
Answer:
We do not have enough information to find the exact value of f(2.5) without additional assumptions about the nature of the exponential function. However, we can make an estimate using the given data and the properties of exponential functions.
First, we can write the general form of an exponential function as:
f(x) = a * b^x
where a is the initial value or y-intercept, and b is the base or growth factor. We can use the two given data points to set up a system of equations and solve for a and b:
f(-1) = a * b^(-1) = 18
f(5) = a * b^5 = 75
Dividing the second equation by the first equation, we get:
f(5) / f(-1) = (a * b^5) / (a * b^(-1)) = b^6 = 75 / 18 = 25 / 6
Taking the sixth root of both sides, we get:
b = (25 / 6)^(1/6) ≈ 1.472
Substituting this value of b into the first equation, we get:
a = f(-1) / b^(-1) = 18 / 1.472 ≈ 12.223
Therefore, we have the exponential function:
f(x) ≈ 12.223 * 1.472^x
Using this function, we can estimate the value of f(2.5) as:
f(2.5) ≈ 12.223 * 1.472^(2.5) ≈ 34.311
Note that this is only an estimate, and the exact value of f(2.5) may be different depending on the specific nature of the exponential function.
Can anyone help me solve this question.. Help please !!
Answer
the answer is b
Suppose that the manufacturer of a gas clothes dryer has found that when the unit price is p dollars, the revenue R (in dollars) is R(p) = - 4p ^ 2 + 8000p (a) At what prices p is revenue zero? (b) For what range of prices will revenue exceed $1,400,000?
(a) Revenue will be zero when p = $0 and $2000.
(b) Revenue will exceed $1,400,000 when p > 500 or p > 700
(a) To find the prices at which revenue is zero, we need to set R(p) equal to 0 and solve for p:0 = -4p^2 + 8000p0 = 4p(p - 2000)So either 4p = 0 or p - 2000 = 0.
Solving for p gives us:
p = 0 or p = 2000
Therefore, the prices at which revenue is zero are $0 and $2000.
(b) To find the range of prices for which revenue exceeds $1,400,000, we need to set R(p) greater than 1,400,000 and solve for p:
1,400,000 < -4p^2 + 8000p
Rearranging the equation gives us:
0 < 4p^2 - 8000p + 1,400,000
Factoring the left side of the equation gives us:
0 < (p - 500)(4p - 2800)
So either p - 500 > 0 or 4p - 2800 > 0.
Solving for p gives us:
p > 500 or p > 700
Since we want the range of prices for which revenue exceeds $1,400,000, we need to take the larger value of p.
Therefore, the range of prices for which revenue exceeds $1,400,000 is p > 700, or prices greater than $700.
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Hellppp meee which one is it????!!!!
subtract as indicated. Express your answer as a single polynomial in ste 5(x^(3)+x^(2)-3)-2(2x^(3)-2x^(2))
The answer as a single polynomial is x^(3) + 9x^(2) - 15.
To subtract the two polynomials as indicated, we need to distribute the constants in front of each polynomial and then combine like terms.
First, we distribute the 5 and -2 to each term in the respective polynomials:
5(x^(3)) + 5(x^(2)) - 5(3) - 2(2x^(3)) - 2(-2x^(2))
Simplifying each term gives us:
5x^(3) + 5x^(2) - 15 - 4x^(3) + 4x^(2)
Next, we combine like terms by adding the coefficients of each term with the same exponent:
(5x^(3) - 4x^(3)) + (5x^(2) + 4x^(2)) - 15
Simplifying the coefficients gives us:
x^(3) + 9x^(2) - 15
Therefore, the answer as a single polynomial is x^(3) + 9x^(2) - 15.
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Which amount of money does the digit 5 represent fife tenths of a dollar.
A. 5 dollar bill, a quarter, a dime, 2 nickels, and 4 Penny's.
B. 1 dollar bill, a quarter, a dime, a nickel, and 5 Penny's
C. Two 20 dollar bills, a 10 dollar bill, a quarter, a dime, and 2 Penny's.
D. a 10 dollar bill, a quarter, 5 nickels, and 2 Penny's.
None of the given options represents an amount of money equivalent to fife tenths of a dollar.
What is Money?
In mathematics, money is a unit of measure used to represent the value of goods or services. It is typically denoted in a currency unit, such as dollars, euros, or yen, and is often used to express prices, wages, or financial transactions. Money is a form of quantitative data and can be manipulated using various mathematical operations, such as addition, subtraction, multiplication, and division.
Fife tenths of a dollar is equivalent to $0.50, since there are 10 tenths in a dollar.
The amount of money that the digit 5 represents $0.50.
Looking at the given options, the only option that contains a total value of $0.50 is option B:
1 dollar bill = $1.00
quarter = $0.25
dime = $0.10
nickel = $0.05
5 Pennies = $0.05
Adding these values together, we get a total of $1.45, which is more than $0.50. Therefore, option B is incorrect.
Option D contains a total value of:
10 dollar bill = $10.00
quarter = $0.25
5 nickels = $0.25
2 Pennies = $0.02
Adding these values together, we get a total of $10.52, which is more than $0.50. Therefore, option D is incorrect.
Option A contains a total value of:
5 dollar bill = $5.00
quarter = $0.25
dime = $0.10
2 nickels = $0.10
4 Pennies = $0.04
Adding these values together, we get a total of $5.49, which is more than $0.50. Therefore, option A is incorrect.
The only remaining option is option C, which contains a total value of:
Two 20 dollar bills = $40.00
10 dollar bill = $10.00
quarter = $0.25
dime = $0.10
2 Pennies = $0.02
Adding these values together, we get a total of $50.37, which is more than $0.50. Therefore, option C is also incorrect.
Thus, none of the given options represents an amount of money equivalent to fife tenths of a dollar.
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People use water to cook, clean, and drink every day. An estimate of 22. 9% of the water used each day is for cleaning. If a family uses 68. 7 gallons of water a day
for cleaning, how many gallons do they use every day?
gallons
(Type a whole number)
The family uses 68.7 gallons of water every day for all purposes
If 22.9% of the water is used for cleaning, then the remaining 100% - 22.9% = 77.1% of the water is used for other purposes such as drinking and cooking.
To find out how much water the family uses every day, we need to add the amount of water used for cleaning to the amount of water used for other purposes.
Quantity of water used for cleaning = 22.9 percentage of the total amount of water used every day = 0.229 x 68.7 gallons = 15.71 gallons
Quantity of water used for other purposes = 77.1% of the total amount of water used every day = 0.771 x 68.7 gallons = 52.99 gallons
Total quantity of water used every day = amount of water used for cleaning + amount of water used for other purposes = 15.71 gallons + 52.99 gallons = 68.7 gallons
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Choose Yes or No to tell if the fraction
4
9
4
9
will make each equation true.
63
×
□
=
28
63
×
□
=
28
18
×
□
=
8
18
×
□
=
8
96
×
□
=
42
96
×
□
=
42
36
×
□
=
16
36
×
□
=
16
Yes, the fraction 4/9 will make each equation true.
What is the fraction about?Fraction is an element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
To see why, we can simplify the fraction 4/9 as follows:
4/9 = (4 x 7)/(9 x 7) = 28/63
Now, we can substitute 4/9 with 28/63 in each equation to see that they are all true:
63 x 28/63 = 28
18 x 28/63 = 8
96 x 28/63 = 42
36 x 28/63 = 16
We can also write it as:
63 × (4/9) = 28
18 × (4/9) = 8
96 × (4/9) = 42
36 × (4/9) = 16
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I need help please and thank you
The solution is, distance from the point to the line is 22√10 feet.
What is a straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.
here, we have,
The distance from point (x, y) to the line ax+by+c=0 is given by ...
d = |ax +by +c|/√(a²+b²)
In general for, the equation of the line is ...
y = x/3 - 4
i.e. x -3y -12 = 0
so the distance formula is ...
d = |x -y -12|/√(1² +(-3)²) = |x -y - 12|/√10
For the given point, the distance is ...
d = |-6 -4 -12|/√10
= 22/√10
d = 22/√10 . . . .
distance from the point to the line = 22/√10
now, distance = 22/√10 * 10
=22√10 feet.
Hence, The solution is, distance from the point to the line is 22√10 feet.
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The students in Karen's class got to choose between pizza and burgers for the celebration on the last day of school. 15 students picked the pizza. If there are 20 students in all in Karen's class, what percentage of the students picked the pizza?
Write your answer using a percent sign (%).
By answering the supplied question, we may infer that the response is percentage Thus, pizza was chosen as the celebratory food by 75% of the pupils in Karen's class.
What is percentage?A ratio or value stated as a percentage of 100 is referred to as a percentage in mathematics. The abbreviations "pct.," "pct," and "pc" are also sporadically used. Nonetheless, the percentage symbol "%" is frequently used to denote it. The percentage amount is dimensionally empty. When the denominator is 100, percentages are essentially fractions. To show that a number is a percentage, a percent symbol (%) should be used next to it. For instance, you receive a 75% grade if you correctly answer 75 out of 25 questions (75/100) on a test. For percentage calculations, multiply the outcome by 100 after dividing the amount by the total. The percentage is calculated by multiplying (value/total) by 100%.
We must divide the number of students who chose pizza (15) by the total number of students (20) and multiply the result by 100 to determine the percentage of students who chose pizza:
(15/20) x 100 = 75%
Thus, pizza was chosen as the celebratory food by 75% of the pupils in Karen's class.
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In Booneville, the use of landlines has been declining at a rate of 20% every year. If there are
25,300 landlines this year, how many will there be in 5 years?
If necessary, round your answer to the nearest whole number.
Answer:
8290
Step-by-step explanation:
Explanation is on the pic
Emily can read 75 words in 15 minutes how many words can she read per minute?
Emily can read 5 words per minute.
Minutes are often used to measure the duration of activities such as meetings, phone calls, or workouts. They are also used to express the duration of processes or events that occur over a short period of time.
To find out how many words Emily can read per minute, we need to divide the total number of words she can read by the amount of time it takes her to read them.
75 words in 15 minutes can be written as a ratio:
75 words / 15 minutes
To simplify this ratio, we can divide both the numerator and the denominator by 15:
(75 words / 15 minutes) ÷ (15 minutes / 15 minutes)
This gives us:
5 words / 1 minute
Therefore, Emily can read 5 words per minute.
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A committee of size 10 is to be selected from a group of 10 men and 20 women. If the selection is made randomly,
1. In how many ways can this be done?
2. What is the probability that the committee consists of 5 men and 5 women?
3. What is the probability that there is no woman in the committee?
If the selection is made randomly, there are 30045015 ways to select a committee of size 10 from a group of 10 men and 20 women. The probability that the committee consists of 5 men and 5 women is 0.129. The probability that there is no woman in the committee is 0.000000033.
1. The total number of ways to select a committee of size 10 from a group of 10 men and 20 women is given by the combination formula:
C(n,k) = n! / (k! * (n-k)!)
Where n is the total number of people (10 men + 20 women = 30) and k is the size of the committee (10).
C(30,10) = 30! / (10! * (30-10)!)
C(30,10) = 30! / (10! * 20!)
C(30,10) = 30045015
Therefore, there are 30045015 ways to select a committee of size 10 from a group of 10 men and 20 women.
2. The probability that the committee consists of 5 men and 5 women is given by:
P(5 men and 5 women) = C(10,5) * C(20,5) / C(30,10)
P(5 men and 5 women) = (10! / (5! * 5!)) * (20! / (5! * 15!)) / (30! / (10! * 20!))
P(5 men and 5 women) = (252 * 15504) / 30045015
P(5 men and 5 women) = 0.129
3. The probability that there is no woman in the committee is given by:
P(no woman) = C(10,10) * C(20,0) / C(30,10)
P(no woman) = (10! / (10! * 0!)) * (20! / (0! * 20!)) / (30! / (10! * 20!))
P(no woman) = (1 * 1) / 30045015
P(no woman) = 0.000000033
Therefore, the probability that there is no woman in the committee is 0.000000033.
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simplify 5x+4y-x-y
I HAVE TO ADD MORE LETTERS SO IM WRITING THIS BIT JUST IGNORE XX
Answer:
4x+3y
Step-by-step explanation:
Combining like terms, we get:
5x - x + 4y - y = 4x + 3y
Therefore, 5x+4y-x-y simplifies to 4x+3y.
42. The area of a rectangle is 12x³- 18x² + 6x. The width is equal to the GCF What could the dimensions of the rectangle be? A. 6x(2x² – 3x) B. 3(4x³ - 6x² + 2x) C. x(12x²- 18x + 6) D. 6x(2x² - 3x + 1)
GCF - Greatest Common Factor
It is simply the largest of the common factors.
We have:
12x³- 18x² + 6x
We find GCF of 12, 18 and 6:
GCF(12, 18, 6) = 6
12 = 2 · 6
18 = 3 · 6
6 = 1 · 6
and GCF of x³, x² and x:
GCF(x³, x², x) = x
x³ = x² · x
x² = x · x
x = 1 · x
Therefore:
12x³- 18x² + 6x = 6x(2x² - 6x + 1)A variable needs to be eliminated to solve of equations below
5x + y = 48
3x -y=16
Answer:
To eliminate y, we can add the two equations.
5x + y + 3x - y = 48 + 16
Simplifying the left side, we get:
8x = 64
Dividing both sides by 8, we get:
x = 8
Now we can substitute x = 8 into either of the original equations and solve for y:
5x + y = 48
5(8) + y = 48
40 + y = 48
y = 8
So the solution is (x,y) = (8,8).
Find all the zeros, real and nonreal, of the polynomial and use tha p(x)=x^(2)+16
The zeros of the polynomial p(x)=x²+16 are x = 4i and x = -4i. The zeros of the polynomial can be found using the Quadratic Formula: x = (-b ± √(b²-4ac))/(2a), where a, b, and c are the coefficients of the polynomial. In this case, a = 1, b = 0, and c = 16.
Plugging in these values into the Quadratic Formula, we get:
x = (-0 ± √(0²-4(1)(16)))/(2(1))
Simplifying the expression, we get:
x = (0 ± √(-64))/(2)
Since the square root of a negative number is a nonreal number, we can write this as:
x = (0 ± 8i)/(2)
Simplifying further, we get:
x = 0 ± 4i
So the zeros of the polynomial are x = 4i and x = -4i, both of which are nonreal numbers.
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Use the Simplex algorithm to solve the following problem.Clearly state the solution. min 5x1 + 3x2 + 4x3 S/T 3x1 − 2x2 + x3 ≤ 16 2x1 + x2 + 5x3 ≥ 12 −4x1 + 2x2 + 2x3 = 11 xj ≥ 0
The Simplex Algorithm to solve the given linear programming problem gives the solution [tex]x_{1}[/tex] = 16, , [tex]x_{2}[/tex] = 0, [tex]x_{3}[/tex] = 11; while the minimum value of objective function is "13.2".
The solution to the given linear programming problem can be obtained using the Simplex algorithm. Using the initial basic feasible solution ([tex]x_{1}[/tex] = 0,[tex]x_{2}[/tex] = 0, [tex]x_{3}[/tex] = 0), the following sequence of steps can be used to solve the problem:
Step 1: Calculate cj - Zj = 5 - 0 = 5 (for [tex]x_{1}[/tex])Step 2: Calculate cj - Zj = 3 - 0 = 3 (for [tex]x_{2}[/tex])Step 3: Calculate cj - Zj = 4 - 0 = 4 (for [tex]x_{3}[/tex])Step 4: Calculate rj - cj = 16 - 3 = 13 (for [tex]x_{1}[/tex])Step 5: Calculate rj - cj = 12 - 3 = 9 (for [tex]x_{2}[/tex])Step 6: Calculate rj - cj = 11 - 4 = 7 (for [tex]x_{3}[/tex])Step 7: Choose x2 as the entering variable, since it has the lowest value of cj - Zj (9). Step 8: Determine the leaving variable. Since [tex]x_{1}[/tex]has the lowest ratio (13/3 = 4.3) it is chosen as the leaving variable.Step 9: Perform the pivot operation, replacing [tex]x_{2}[/tex] in the basis and [tex]x_{1}[/tex]out of the basis.Step 10: Repeat the process until all cj - Zj values are non-positive.The solution of the problem is: [tex]x_{1}[/tex] = 16, [tex]x_{2}[/tex] = 0, [tex]x_{3}[/tex] = 11.
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Consider the boundary value problem y′′ −y = 0 y(0) = 0 y(2) =
e2 −e−2 (a) Find the exact solution y(t). (b) Let tn = nh ( n = 0,
1, 2, 3, 4 ) with the step size h = 1/2 . Use the three-poin
The approximate solution using the three-point formula with step size h = 1/2 is y(t) = 0 for all t.
The boundary value problem given is y′′ − y = 0 with boundary conditions y(0) = 0 and y(2) = e2 − e−2.
(a) To find the exact solution y(t), we can use the characteristic equation r^2 - 1 = 0. This gives us r = 1 and r = -1. The general solution is therefore y(t) = c1e^t + c2e^-t.
Using the boundary conditions, we can find the constants c1 and c2.
For y(0) = 0, we have 0 = c1 + c2, which gives us c2 = -c1.
For y(2) = e2 − e−2, we have e2 − e−2 = c1e^2 + c2e^-2. Substituting c2 = -c1, we get e2 − e−2 = c1e^2 - c1e^-2.
Solving for c1, we get c1 = (e2 − e−2)/(e^2 - e^-2) = 1/2. Therefore, c2 = -1/2.
The exact solution is y(t) = (1/2)e^t - (1/2)e^-t.
(b) To use the three-point formula with step size h = 1/2, we can set up a table with tn and yn values.
tn | yn
---|---
0 | 0
1/2| y1
1 | y2
3/2| y3
2 | e2 - e-2
The three-point formula is yn+1 = yn-1 + 2h(y′n). We can use this formula to find the values of y1, y2, and y3.
For y1, we have y1 = 0 + 2(1/2)(y′0) = y′0. Since y′0 = y′(0) = (1/2)e^0 - (1/2)e^0 = 0, we have y1 = 0.
For y2, we have y2 = y0 + 2(1/2)(y′1) = 0 + 2(1/2)(0) = 0.
For y3, we have y3 = y1 + 2(1/2)(y′2) = 0 + 2(1/2)(0) = 0.
Therefore, the approximate solution using the three-point formula with step size h = 1/2 is y(t) = 0 for all t.
It is important to note that the three-point formula is not accurate for this particular boundary value problem due to the size of the step and the nature of the differential equation. A smaller step size or a different numerical method may yield a more accurate approximation.
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Find the volume of a pyramid with a square base, where the side length of the base is
6.6 in and the height of the pyramid is 7.7 in. Round your answer to the nearest
tenth of a cubic inch.
We can conclude that the square pyramid has a volume of 111.5 in³.
What is a square pyramid?A square pyramid in geometry is a pyramid with a square base.
It is a right square pyramid with C4v symmetry if the apex is perpendicular to and above the square's center.
It is an equilateral square pyramid, the Johnson solid J1 if all edge lengths are equal.
A polyhedron with seven faces is called a heptahedron.
One "normal" heptahedron exists, and it is formed up of a surface with one side made up of four triangles and three quadrilaterals.
So, 6.6 inches wide is the square pyramid's base.
The square pyramid's height is 7.7 inches or h.
V = a²(h/3) is the formula for the square pyramid's volume.
By changing the values given:
V = 6.6²(7.7/3)
V = 43.56(2.56)
V = 111.51 ≈ 111.5
Therefore, we can say that the square pyramid has a volume of 111.5 in³.
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The school packs one lunch based on each of these choices. If Dr. Higgins wants a "Turkey, Water and Cookie" or a " Turkey, Water and Brownie" (I could eat either lunch) - what is the probability that Dr. Higgins randomly picks up one or the other of his Favorite Lunches?
The probability of selecting either lunch is 50%, as both lunches are equally likely to be chosen. This is because both lunches have the same ingredients, with the only difference being the dessert item.
What is probability?Probability is a measure of the likelihood of a certain event or outcome occurring. It is expressed as a number between 0 and 1, where 0 indicates that the event or outcome is impossible and 1 indicates that the event or outcome is certain to occur. Probability is an important concept in mathematics and statistics, and it is widely used in fields such as finance, science, engineering, and gaming.
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Solve for c:\(c = 5\frac{5}{6} \times 2 \)
Please hellllppppp
The solution for c in the equation is 35/3
How to determine the solution for cFrom the question, we have the following parameters that can be used in our computation:
\(c = 5\frac{5}{6} \times 2 \)
Express the equation properly
So, we have the following representation
c = 5 5/6 * 2
Convert the fraction to improper fraction
So, we have the following representation
c = 35/6 * 2
Evaluate the products
c = 35/3
Hence, the solution is 35/3
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The following frequency table summarizes this year's injuries on the Canadian Rounders cricket team.
Number of injured players Number of matches
0
00
4
44
1
11
5
55
2
22
2
22
3
33
3
33
4
44
2
22
Based on this data, what is a reasonable estimate of the probability that the Canadian Rounders have
0
00 players injured for their next match?
Answer:
25%
Step-by-step explanation:
Number of favorable outcomes 4
Total number of outcomes=4+5+2+3+2=16
4/16=0.25
0.25x100=25
25%
Which of these statements describe properties of parallelograms? Check all
that apply.
Answer: The ones you have selected are correct
Step-by-step explanation:
Answer:
the ones you selected are all correct
Step-by-step explanation:
In the diagram, NO ∥ MP and NO ≅MP. Which of the following theorems can be used to show that △MNP≅△OPN? Select all that apply.
Answer is SAS, we can solve this question by SAS theorem of triangle, for that we have to know more about triangle.
What is Triangle?A triangle in geometry is a three-sided polygon or object with three edges and three vertices.
If two triangles satisfy one of the following conditions, they are congruent:
a. Each of the three sets of corresponding sides is equal. (SSS)
b. The comparable angles between two pairs of corresponding sides are equal.(SAS)
c. The corresponding sides between two pairs of corresponding angles are equal. (ASA)
d. One pair of corresponding sides (not between the angles) and two pairs of corresponding angles are equal. (AAS)
e. In two right triangles, the Hypotenuses pair and another pair of comparable sides are equal. (HL)
So, △MNP≅△OPN and NO II MP and NO ≅ MP
then, ∠ ONP = ∠ MPN and Side NP is common.
Therefore we can solve it by SAS Theorem.
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Help please
Look at the picture
Answer:
C
Step-by-step explanation:
Answer choice A implies that less than received an 80 or better, while according to the boxplot, at least 18 students did.
Answer choice B suggests that most students scored at least 90%, but that is false.
Answer choice C implies that the same number of students scored in the 70-80% range as in the 80-90% range, which is true according to the box plot.
Answer D says that more people scored 65-70% than 90-100%, but the opposite is true.