HELPPPPPPPPP PLEASEEEE​

Answer:

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

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 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.

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.

Mean diameter of 136 millimeters, and a variance of 36.

This means that [tex]\mu = 136, \sigma = \sqrt{36} = 6[/tex]

Sample of 50:

This means that [tex]n = 50, s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.9 millimeters?

This is the probability that it is less than 136 - 1.9 = 134.1 millimeters or more than 136 + 1.9 = 137.9 millimeters. Since the normal distribution is symmetric, there probabilities are equal, which means that we can find one of them and multiply by two.

Probability that it is less than 134.1 millimeters:

This is the pvalue of Z when X = 134.1. So

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

By the Central Limit Theorem

[tex]Z = \frac{134.1 - 136}{0.8485}[/tex]

[tex]Z = -2.24[/tex]

[tex]Z = -2.24[/tex] has a pvalue of 0.0125

2*0.0125 = 0.025

0.025 = 2.5% probability that the sample mean would differ from the population mean by greater than 1.9 millimeters

Answer:

there both similar by using inverse operations to isolate the variable term by using addition or subtraction and multiplying or dividing to solve for the variable .

the difference is for an inequality if u multiply or divide by a negative number then u have to reverse the inequality symbol, for regular equations u don't have to do that , and for regular equations there is a equal sign and not a inequality symbol

Step-by-step explanation:

just explained it above

hope I helped ! pls mark me brainlest if I got it right thanks :)

Answer:

80.07 in^2

Step-by-step explanation:

The equation is given: SA = 2πrh

h (height) = 8.5

r (radius is half the diameter) = 3 / 2 = 1.5

SA = 2π (1.5) (8.5) =  80.07

Answer:

pink

Step-by-step explanation:

Answer:

Step-by-step explanation:

You are asked to add up these numbers and describe the number in words. The given form is called "expanded form". It shows you the place value of each digit.

The sum is ...

  800,000 +6,000 +300 +50 +0.3 +0.007 = 806,350.307

In word form, this is ...

  "eight hundred six thousand three hundred fifty and three hundred seven thousandths"

Answer:

you solve for y and you'll get the final answe

Answer:

5

Step-by-step explanation:

- 3y - 6 + 7y = 14

7y - 3y = 14 + 6

4y = 20

y = 20 / 4

y = 5

Answer:

500 dino nuggies.

Step-by-step explanation:

Hope this helps

Answer:

500 dino nuggies!!!

Step-by-step explanation:

Answer:

Hi! The answer to your question is 6.25

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand

He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990

He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami

He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019

Step-by-step explanation:

Hope this helps and don't forget to follow!

Pls pick me as Brainliest!

Answer:

it is b approximately 163 yards

Answer:

23.864cm

Step-by-step explanation:

volume of a cylinder is found by using the above formula pie × radius² × height = AREA

22/7 × 8 × h = 600cm³

25.143h= 600cm³

600÷25.143 = 23.864cm

Height = 23.864cm

Answer:

x = 36

Step-by-step explanation:

x/4 = 9

multiply both sides by 4

x/4 (4) = 9(4)

x = 36

The answer is x = 36

We can check by plugging in x = 36 to the original equation:

x/4 = 9

(36)/4 = 9

9 = 9

Correct

Answer:

THE ANSWER IS 13:20

Step-by-step explanation:

Answer:

f(x) = 3x - 5

g(x) = 6x^2 + 2x

Find: g(f(x))

method: for each x in g, substitute (3x-5)

g[f(x)]=6(3x-5)^2+2(3x-5)

=6(9x^2-30x+25)+6x-10

=54x^2-180x+150+6x-10

Step-by-step explanation:

Answer:

10 coconut cupcakes

Step-by-step explanation: so, here is what we do since there is 8 cupcakes sold and 4 of them are coconut cupcakes we divide. this is hard to explain but we know that 8 divided by 4 is 2 so we have to multiply to 20 so like 2 times 10 which gives us 20. then we use the answer that we got from multiplying which is 10 as our answer if that makes sense.

Answer:

If the proportions of all people who carry the trait are the same for both populations, the probability of observing a sample difference of at least 0.22 is 0.03

Step-by-step explanation:

Given the hypothesis :

H0 : pW = pX

Ha : pW > pX

W - X = 0.22

Pvalue = 0.03

Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).

This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03

Answer:

4/3

Step-by-step explanation:

0-4/0-3

-4/0-3

-4/-3

4/3

Answer:

Step-by-step explanation:

3\4

Answer:

n+18

Step-by-step explanation:

Answer: n+18

Step-by-step explanation:

CONCEPT:

- a increased by b=a+b

- a decreased by b= a-b

- a multiply by b=ab

- a divided by b=a/b

SOLVE:

A number n increased by 18

(n) increased by (18)

n+18

Hope this helps!! :)

Please let me know if you have any questions

Answer:

it's your answer and make me barinly least

Answer:60

Step-by-step explanation:

There are 80 chairs in all because 8 rows x 10 chairs per row. The first people fill two rows which is 20 chairs because each row is 10 chairs so 60 chairs are left

Answer:

1078in

Step-by-step explanation:

Surface area =2(wl+hl+hw)

2·(17·19+6·19+6·17)=1078in

Answer:

D. g(x) = [tex]\frac{1}{4}x^{2}[/tex]

Step-by-step explanation:

The correct formula for g(x) is the following

g(x) = [tex]\frac{1}{4}x^{2}[/tex]

when dealing with the square of a variable, the lower the number that you multiply it by, the wider the parabola will be. In this case multiplying f(x) by 1/4 would give us the parabola that passes by point (2, 1). We can prove this by substituting 2 for x like so...

g(2) = [tex]\frac{1}{4} * 2^{2}[/tex]

g(2) = [tex]\frac{1}{4} * 4[/tex]

g(2) = 1

Answer:

Option B will be your answer

Step-by-step explanation:

mean:6 gerbils

MAD:2.29

so its B

hope it helps

have a great day!!

Answer:

Upper left 10, upper right 2, lower left 3, lower right 3.

Step-by-step explanation:

they give us the upper left and lower right in the first two bullet points. Then “in total, 12 girls can sing”. 12 - the 10 who can sing and dance = 2 for upper right.

They also say there are 18 girls total. 18 - 10 - 3 = 3 for the lower left