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Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Answer:

try 72.2

Step-by-step explanation:

surface area is 3.8x3.8x6

but minus one side is 3.8x3.8x5 = 72.2

Answer:

Step-by-step explanation:

multiply the length by the width

3.8 x 3.8 = 14.44

in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides

14.44 x 5 = 72.2

Answer:

its C

Step-by-step explanation:

because 180⁰-40⁰=140⁰

Answer:

∠m = 140°

Step-by-step explanation:

∠1 and ∠m are adjacent angles, so they add up to 180°.

∠1 + ∠m = 180

40 + ∠m = 180

∠m = 180 - 40

∠m = 140°

Answer:

6000 pounds

Step-by-step explanation:

calculator

Answer:

6000lbs

Step-by-step explanation:

3*2000=6000

Answer:

Yes, they are equivalent.

Step-by-step explanation:

To get from 2.5 : 8 to 7.5 : 24, you have to multiply by both sides by 3.

So they are equivalent.

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

Answer:

4-5h

Step-by-step explanation:

difference = minus sign

and 5 times h

Answer:

Step-by-step explanation:

There are two answers to this making the question slightly ambiguous.

1) 4 - 5*h

2) (4 - 5)*h

It is impossible to tell which answer is the correct one. However, if I had to guess, I would say it is 4-5*h

Answer:

On the 12th day

Step-by-step explanation:

12 is a multiple of both 4 and 6

Answer:

2x + 5y

Step-by-step explanation:

-5x - 10y + 7x + 15y

add the ones with the same variables

-5x + 7x - 10y + 15 y

2x + 5y

and there you have the answer "2x + 5y"

Answer: D. The total sample size is too large to apply the chi-square test for homogeneity.

Step-by-step explanation: When sampling without replacement, the sample size should not exceed 10 percent of the population size. Here, the sample size of 85 is just over 24 percent of the population of 350 company employees.

The total sample size is too large to apply the chi-square test for homogeneity.

We have given that,

A manufacturing company with 350 employees is  changing the employee health insurance plan to either plan A or plan B.

                         Plan A        Plan B        Total

yes(group 1)       40(32.5)   20(27.5)      60

No (group 2)      6 (13.5)     (11.5) 25       25

Total                   46             39              85

We have to find which statement is true,

Each sample unit of the population has only one chance to be selected in the sample. we can select one sample only way and after selection we cannot pot this sample in the sample space again.

The sample size should not exceed 10 percent of the population size.when we use sampling  without replacement,

Here, the sample size of 85 is just over 25 percent of the population of 350 company employees.

Therefore,the total sample size is too large to apply the chi-square test for homogeneity.

To learn more about the sample space replacement and without replacement visit:

https://brainly.com/question/17042101

Answer:

0.03125

To the nearest thousandth = 0.031

ANSWER

8, M<D=80°

M<E=60°

M<F=40°

X=5

Y=18

Scale factor of triangle ABC : triangle DEF= 3

9, X=20

Y=16

Z=10

m<D=61°

m<E=75°

m<G=112°

m<B=112°

scale factor ABCD : EFGH = 1.6

Answer:

4boys

Step-by-step explanation:

40 of 10% 40×10/100 =4 remember percentage is always over 100

❤️ The answer is attached

achievements.

Answer:

x=3

Step-by-step explanation:

2x+4=10

subtracting both side by 4.

2x+4-4=10-4

2x=6

x=6/2=3

Answer:

5

Step-by-step explanation:

5

Answer:

5

Step-by-step explanation:

yup I use it. it gets anoying

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

Answer: 16a^12 b^16

Step-by-step explanation:

Everything in the parenthesis to the 4th power.

2a^4= 16a

3*4=12

b^4*4=b^16

Answer:

144in square

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i believe its 49 - 33= answer bc 49=49

Answer:

16°

Step-by-step explanation:

The two angles are vertical, meaning that they are the same

33 + 16 = 49

Answer:

7=7

Step-by-step explanation:

1 Let x=\frac{13}{5}x=  

5

13

​  

.

5\times \frac{13}{5}-6=7

5×  

5

13

​  

−6=7

2 Cancel 55.

13-6=7

13−6=7

3 Simplify  13-613−6  to  77.

7=7

7=7

hope this helps.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

6:7

Step-by-step explanation:

divide both sides by 7...

Answer:

A 12 x 6

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer: 452 students

25 x 18 = 450 + 2= 452

Answer:

C

Step-by-step explanation:

Correct on edge 2020

Answer:

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

In which x is the number of which we want to find the probability.

Step-by-step explanation:

For each traffic fatality, there are only two possible outcomes. EIther it involved an intoxicated or alcohol-impaired driver or nonoccupant, or it didn't. Traffic fatalities are independent of other traffic fatalities, which means that 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.

The probability is .40 that a traffic fatality involves an intoxication or alcohol-impaired driver or nonoccupant.

This means that [tex]p = 0.4[/tex]

Eight traffic fatalities

This means that [tex]n = 8[/tex]

Find the probability that the number which involve an intoxicated or alcohol-impaired driver or nonoccupant is

This is P(X = x), in which x is the number of which we want to find the probability. So

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

[tex]P(X = x) = C_{8,x}.(0.4)^{x}.(0.6)^{8-x}[/tex]

Based on the binomial probability principle, the probability involving the number of non-occupant is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Let :

Using the binomial probability relation :

Substituting the values into the relation :

[tex] P(x = k) = nCk \times 0.40^{k} \times 0.60^{n-k} [/tex]

Hence, the required probability expression is [tex] P(x = k) = 8Ck \times 0.40^{k} \times 0.60^{8-k} [/tex]

Learn more :https://brainly.com/question/23287510

Answer:

Assuming the x-6 is under the square root sign, the value must be greater than 6 because you can not have 0 in the domain. That narrows it down to either B or C but since the denominator can not be anything less than 0, your answers will always be positive so that means the answer is Its domain is (6,∞)

Answer:

Its domain is (6,∞) and its range is (0,∞) your welcome :3