What is the quotient ?

Answer:

C..00000451

Step-by-step explanation:

For each person in the jury, there are only two possible outcomes. Either they were minorities, or they were not. The probability of a person being a minority is independent of any other person. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Population in which 27% were minorities.

This means that [tex]p = 0.27[/tex]

90 people

This means that [tex]n = 90[/tex]

Find the probability of getting 7 or fewer minorities in a world where the jury pool selection pro- cess was supposed to be random.

This is

[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]

[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]

[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]

[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} = \approx 0[/tex]

[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} = 0.00000002[/tex]

[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} = 0.00000015[/tex]

[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} = 0.00000080[/tex]

[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.00000354[/tex]

So

[tex]P(X \leq 7) = 0.00000002 + 0.00000015 + 0.00000080 + 0.00000354 = 0.00000451[/tex]

So the correct answer is given by option C.

Answer:

t=1/2

Step-by-step explanation:

Answer:

Hi Jewel,  leave a comment if  you want more explanation of the following:

Step-by-step explanation:

point-slope formula:   y-y1 = m(x-x1)

slope-intercept formula:  y = mx + b

using point-slope: y-9 = 1/2(x-(-4))

= y-9 = 1/2(x + 4)

= y -9 = 1/2x +2

we've almost made it to slope-intercept from , notice, but the problem says to leave it in point-slope form, so there you go   :)  and leave a comment if you need more explanations  :)

Answer:

1. y=7x

2. y=9x

3. y=13x

4. x=10y

5. y=(x)*5+1

7. Draw a line through (0, 1) and (1, 6)

8. Draw a line through (0, 2) and (1, 3)  

9. Draw a line through (0, 3) and (6, 1)

10. Draw a line through (0, 40) and (20, 80)

Step-by-step explanation:

20>5+2n-9

20+9>5+2n

29-5>2n

n>12

hope it helps.

Answer:

En español:

11/25 = 0.44

0.9702 porque multiplica por 2.205.

In English:

11/25 = 0.44

0.9702 because you multiply by 2.205.

Answer:

C. 20 Ft.

Step-by-step explanation:

Using The Pythagorean Theorem, a²+b²=c² , insert the known variables into the equation.

18.7²+6²=c²

This gives you 385.69 + 36 = 385.69.

Next, square the result to find the missing side length.

[tex]\sqrt{385.69[/tex]

The answer comes out to around 19.6, which can be rounded up to 20ft.

Hope this helped!

Answer:

5/14 + 5/14 + 2/14​ = 12/14 = 6/7

Step-by-step explanation:

Answer:

12 cm (I don't understand bro):(

Answer: 72

Step-by-step explanation:

Answer:

c. We are 96 percent confident that the average increase in mating call frequency in the population of frogs when habitat temperature increases by 1 degree Celsius is between 1.573 and 3.109 tones per second.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

The 96 percent confidence interval for estimating the population slope of the linear regression line predicting mating call frequency based on habitat temperature is given by 2.341±0.768.

This means that the 96% CI is between:

2.341 - 0.768 = 1.573

2.341 + 0.768 = 3.109

Which of the following is the correct interpretation of the calculated confidence interval?

We are 96% sure that the population mean(population of frogs) in mating call frequency is in this interval. So the correct answer is given by option c.

Answer:

slope of AB = -1/2

slope of CD = -2

No.

Step-by-step explanation:

slope of AB = (5-7)/(6-2) = -2/4=-1/2

slope of CD = (-6-2)/(4-0) = -8/4 =-2

for being two opposite sides of parallelogram, their slopes should be equal. But there slopes aren't equal

Answer:

g(-3) = -4

Step-by-step explanation:

We are given the following function:

[tex]g(x) = -x^2 + 5x + 2[/tex]

Find and simplify g(-3)

We want to find the value of g when [tex]x = -3[/tex]. So

[tex]g(-3) = (-3)^2 + 5(-3) + 2 = 9 - 15 + 2 = -4[/tex]

g(-3) = -4

Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

3 x 10 = 30

add the 0 from ten to 3 and you get 30

Answer:

$8789

Step-by-step explanation:

you suptract 9,400. and 6.5%

Answer:

answer is $8789

Step-by-step explanation:

she is correct

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

A: Subtract the area of the 5 yd by 3 and two-thirds yd rectangle from the area of the 6 yd by 7 One-fourth yd rectangle.

Step-by-step explanation:

Just did the test on edge

Answer:

with wut XD

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Find the area of each side by multiplying the length and width, times this answer by 2 since each face has another congruent face and then add them all up like (6*8*2)+(6*3*2)+(8*3*2)

Answer:   Im most likely wrong since I suck at this stuff, but I think its 180

Answer:

a. x = 13m, b. x = 12cm

Step-by-step explanation:

a. x² = 12² + 5² (Pyth. theorem)

x = 13 m

b. 15² = 9² + x² (Pyth. theorem)

x = 12 cm

Answer:

Binomial probability, with [tex]n = 5, p = 0.352[/tex]

Step-by-step explanation:

For each time Mookie Betts went to bat, there were only two possible outcomes. Either he got a base-hit, or he did not. The probability of getting a hit on each at-bat is independent of any other at-bat. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

His average was 0.352.

This means that [tex]p = 0.352[/tex]

Assume he has five times at bat tonight in the Red Sox-Yankees game.

This means that [tex]n = 5[/tex]

a. This is an example of what type of probability

Binomial probability, with [tex]n = 5, p = 0.352[/tex]

Answer:

C. any number greater than 5

Step-by-step explanation:

when rounding numbers. 5 or more up the score. the number will be rounded to the next whole number

Answer:

Step-by-step explanation:

D the digit does not metter

Answer:

352.5 cm²

Step-by-step explanation:

Surface area

= (6.5 × 7.5 ÷ 2) × 2 + (7.5 × 13.5) × 3

= 48.75 + 303.75

= 352.5 cm²

Answer:

a) The null hypothesis, H₀; p = 0.1

The alternative hypothesis, Hₐ; p ≠ 0.1

b) The proportion of left handed undergrads in UW differs from the national proportion of 0.1

c) The p-value is larger than the level of significance therefore there is statistical evidence supporting the alternative hypothesis

Step-by-step explanation:

The given data are;

The number of students in the sample, n = 140

The number of left handed students in the sample = 12

The number of right handed students in the sample = 128

The proportion of left handed students in the sample, [tex]\hat p[/tex] = 12/140 = 0.08571429

The significance level = 5%

The national proportion, p₀ = 0.1

a) The null hypothesis, H₀; p = 0.1

The null hypothesis is the proportion of left handed students in the UW is the same as the national proportion of 0.1

The alternative hypothesis, Hₐ; p ≠ 0.1

The alternative hypothesis is the proportion of left handed students in the UW is not the same as the national proportion of 0.1

b) Given from the output values of the Confidence Interval at 95% confidence level, (0.04971124, 0.14384532) which are both positive values, and the p-value of 0.5731, we conclude that there is a difference between the proportion of left-handed UW undergraduate students and the national proportion of 0.1

c) Given that the p-value of 0.5731 is larger than the significance level of 0.05, we reject the null hypothesis and there is significant statistical evidence to suggest that the proportion of UW undergrads who are left handed differs from the national proportion of 0.10

Answer:

x ≤ 9 (Up to nine people)

Step-by-step explanation:

12 + x ≤ 21

x ≤ 9 (Subtracted both sides by 12)

Hope this helps! <3

Answer:

To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)

Step-by-step explanation:

Answer:

let L=lucy and A=ayu

l+a=1080

l=7a 7a+a=1080

8a=1080 8a/8=1080/8

ayu=135

l=7a l=7×135

l=945 so:-135+945=1080

Lucy sold 945 iPads and Ayu sold 135 iPads

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

Let Lucy and Ayu sold 'x' and 'y' iPads respectively.

Lucy and Ayu sold a total of 1,080 iPads.

So, we get an equation,

⇒ x + y = 1080           ...............(i)

Lucy sold 7 times as many as Ayu.

So we get the second equation as,

⇒ x = 7y                     ................(ii)

Substitute above value of x in equation (i)

⇒ x + y = 1080

⇒ 7y + y = 1080

⇒ 8y = 1080

⇒ y = 135

This means, Ayu sold 135 iPads

Substitute above value of y in equation (ii)

⇒ x = 7(135)    

⇒ x = 7 × 135

⇒ x = 945

This means, Lucy sold 945 iPads.

Therefore, Lucy sold 945 iPads and Ayu sold 135 iPads

Learn more about equation here:

https://brainly.com/question/649785

#SPJ2

Answer:

horizontal asymptote at y = 0

Step-by-step explanation:

According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.

However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.

It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:

f(x) = (xe)^((-x)^2)

The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.

hope that helps, I really don't know thought. Quite tricky