In a study of the accuracy of fast food drive-through orders, Restaurant A had 342 accurate orders and 55 that were not accurate. a. Construct a 95% confidence interval estimate of the percentage of orders that are not accurate. b. Compare the results from part (a) to this 95% confidence interval for the percentage of orders that are not accurate at Restaurant B: 0.125

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Answer:

0.9167 = 91.67% probability that the entire batch will be accepted

Step-by-step explanation:

The CDs are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[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]

2100 write-rewrite CDs, and 60 are defective.

This means, respectively, that [tex]N = 2100, k = 60[/tex]

3 of these CDs are randomly selected for testing

This means that [tex]n = 3[/tex]

What is the probability that the entire batch will be accepted?

Probability of none defective, so P(X = 0).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,2100,3,60) = \frac{C_{60,0}*C_{2040,3}}{C_{2100,3}} = 0.9167[/tex]

0.9167 = 91.67% probability that the entire batch will be accepted

Answer:

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Distributed normally, mean of 90 million, standard deviation of 15 million.

This means that [tex]\mu = 90, \sigma = 15[/tex]

What is the probability that a randomly selected firm will earn less than 109 million dollars?

This is the pvalue of Z when X = 109. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{109 - 90}{15}[/tex]

[tex]Z = 1.27[/tex]

[tex]Z = 1.27[/tex] has a pvalue of 0.8980

0.8980 = 89.80% probability that a randomly selected firm will earn less than 109 million dollars

Answer:

2:1 is the simplest form

Step-by-step explanation:

Do not click on his link it is a virus

Answer: True

Step-by-step explanation:

A supplementary angle refers to the angles that has a sum of 180° when they're added together.

We should note that a right angle equals to 90°, therefore the other angle in the supplementary angle will be:

= 180° - 90°

= 90°

Since a right angle equals 90°, then the other angle must be a right angle.

Therefore, the answer is TRUE.

5 1/2 feet is the base of window.

Answer:

area of parllelogram =base×height

25 2/3=base×4 2/3

77/3=base×14/3

77/3×3/14=base

base=77/14=11/2=5 1/2feet

Answer:

X = 90° , Y = 45°,  Z = 45°

Step-by-step explanation:

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Answer:

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Step-by-step explanation:

For each household, there are only two possible outcomes. Either they lost electricity, or they did not. The probability of a household losing electricity is independent of any other household. This means that the binomial probability distribution is used 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.

A rainstorm in Portland, Oregon, has wiped out the electricity in about 7% of the households in the city.

This means that [tex]p = 0.07[/tex]

6 members

This means that [tex]n = 6[/tex]

What is the probability that none of them has lost electricity in his/her household?

This is P(X = 0). So

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

[tex]P(X = 0) = C_{6,0}.(0.07)^{0}.(0.93)^{6} = 0.647[/tex]

0.647 = 64.7% probability that none of them has lost electricity in his/her household

Answer:

I’m very unsure but I think it is b

Step-by-step explanation:

Answer:

1) 34 square meters

2) 21 square yards

Step-by-step explanation:

1) 7x4=28

1/2x3x2x2=6

28+6= 34 square meters

2)3x3=9

1/2x3x2x4=12

9+12= 21 square yards

Answer:

x=4,y=2

Step-by-step explanation:

3x-2y=8 ..........1

2x+y=10...........2

multiply equation 2 by 2 and adding equation 1 and 2 ,we get

3x-2y=8

4x+2y=20

+_________

7x=28

x=28/7=4

:.x=4

again substituting value of x in equation 1 we get

3×4-2y=8

12-8=2y

y=4/2=2

:.y=2

Answer:

Its B. x = -5y2

Step-by-step explanation:

The equation for the parabola is x = -5y² option (B) x = -5y² is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

We have a graph of a parabola.

As we can, in the graph of a parabola:

The equation for the left side opening:

x = -ay²

Here a = 5

x = -5y²

Thus, the equation for the parabola is x = -5y² option (B) x = -5y² is correct.

Learn more about the parabola here:

brainly.com/question/8708520

#SPJ2

Answer:

hey There

Step-by-step explanation:

This compares with 27.5 percent of those age 55 to 64 and 25.6 percent of those age 65 to 74. With respect to being overweight, 31.8 percent of the individuals 75 and older were such, while 37.9 percent of 55 to 64 year olds and 37.8 percent of individuals age 65 to 74 were overweight (figure 1).

Answer:

66.9%

i hope thats right

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It depends on the speed the car is going. If you are going 1 MPH you will drive a single mile per hour, but 2 MPH is 2 miles per hour. That's where the term "MPH" comes in, it tells you how many miles you will be driving per hour.

MPH = Miles Per Hour

Hope this helped, love!  ✩ ✩ ✩

Answer:

1.4/10=2/5

2.4/8=1/2

3.8/12=2/3

4.7/5=14/10

5.1/3=2/6

Answer:

The answers is 10(5 + 3)

Answer:

The answer is -18

Step-by-step explanation:

He starts off with $100 in his account. He then take so $45 to purchase a pair of jeans, so we have to subtract 45 from 100 and that gives us $55. He now has $55 in his account, he then adds another $25 to his account, so we have to add 25 to 55 and that will give us $80 in his account. Finally on Friday he takes out $98 of his checking account. He takes out more than he has in his checking account so we have to subtract $80 from $98 and we will get $18, but since he takes out more than what he has in his account the answer will be negative and we end up with -18 dollars in his checking account.

Answer:72

Step-by-step explanation:

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.

Answer:

Option B is your answer

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

A.) -80X^8 + 40x^7 -5x^6 -3x^2

Its OPTION A

Step-by-step explanation:

Answer:

y = -4/3x - 1

Answer:

x = 8

The value of 'x' is 8

Step-by-step explanation:

2/3(8)=12

2/(24)=12

Good luck!!

Answer:

(4.80 x 0.05) + 4.80

Step-by-step explanation:

Complete question:

On the package for a certain brand of spinach seeds there is a guarantee that, if the printed instructions are followed, 63% of planted seeds will germinate. A random sample of 9 seeds is chosen. If these seeds are planted according to the instructions, find the probability that 4 of them germinate.

Answer:

[tex]P(x = 4) = 0.1376[/tex]

Step-by-step explanation:

Given

[tex]n = 9[/tex]

[tex]p = 63\%[/tex] --- proportion that germinates

[tex]p = 0.63[/tex]

Required

P(x = 4)

This question follows a binomial distribution:

[tex]P(x) = ^nC_x*p^x*(1-p)^{n-x[/tex]

When x = 4;

[tex]P(x = 4) = ^9C_4*0.63^4*(1-0.63)^{9-4[/tex]

[tex]P(x = 4) = ^9C_4*0.63^4*(0.37)^5[/tex]

[tex]P(x = 4) = 126*0.63^4*0.37^5[/tex]

[tex]P(x = 4) = 0.13763895392[/tex]

[tex]P(x = 4) = 0.1376[/tex]

Answer:

B) 28 cm^2

Step-by-step explanation:

First, find the perimeter 5*4=20

A= ½ 2.75(20) = 27.5

(round to the nearest whole number)

Got it right on the test

Answer:

7/12

Step-by-step explanation:

1/3+1/4

convert to twelfths

4/12+3/12

7/12

Answer:

7/12

Step-by-step explanation:

2/6 + 1/4

Change the denomintors to be alike  (Change the denominators to 12) 4/12 + 3/12

Multipy the top and bottom  

Add

Get 7/12

Brainliest?

Answer:

B

Step-by-step explanation:

I don't know how to explain it but

10/2=5 (Driver A)

20/2= 10 (Driver B)

Sorry if it's not right

Step-by-step explanation:

Given equation

y = x + 3

Comparing with y = mx + c so

Slope (m) = 1

y-intercept (c) = 3

Hope it will help :)❤

Answer:

I don’t know if this is right, but I hope this helps!

Step-by-step explanation: