MATHEMATICS COLLEGE

Please help me with this

Answers

Answer 1

Answer:

Answer:

9x^2 + 12x

Step-by-step explanation:

The area of the blue

3* 3x^2 = 9x^2

The area of the pink is

3* 4x = 12x

Add them together

9x^2 + 12x

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To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. If the population standard deviation is 8.2 years, computer the standard error of the mean. (Round to one decimal place) What is the probability that the sample mean age of the employees will be within 2 years of the population mean age

Answers

Answer:

The standard error of the mean is 1.3.

87.64% probability that the sample mean age of the employees will be within 2 years of the population mean age

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = (X - \mu)/(\sigma)$

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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation, which is also called standard error $s = (\sigma)/(√(n))$

In this problem, we have that:

$\sigma = 8.2, n = 40$

Computer the standard error of the mean

$s = (8.2)/(√(40)) = 1.3$

The standard error of the mean is 1.3.

What is the probability that the sample mean age of the employees will be within 2 years of the population mean age

This is the pvalue of Z when $X = \mu + 2$ subtracted by the pvalue of Z when $X = \mu - 2$ . So

$X = \mu + 2$

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (\mu + 2 - \mu)/(1.3)$

$Z = 1.54$

$Z = 1.54$ has a pvalue of 0.9382

-----

$X = \mu - 2$

$Z = (X - \mu)/(s)$

$Z = (\mu - 2 - \mu)/(1.3)$

$Z = -1.54$

$Z = -1.54$ has a pvalue of 0.0618

0.9382 - 0.0618 = 0.8764

87.64% probability that the sample mean age of the employees will be within 2 years of the population mean age

Pls help will mark brainliest
Thhhxxx

Find the value of t

Answers

Answer: t = 51

Step-by-step explanation:

Well hello buddy. How are you doing today? Might be a little bit bad because you have to deal with this weird triangle. BUT DONT WORRY DOG. I GOT YOU.

notice that that 112 number is on a straight line.... and straight lines are 180 degrees

With this in mind, lets subtract: 180 - 112 and we get= 68

ok so now we have these triangle angles: 68 and 61. also keep in mind that all angles of a triangle add up to 180

so 68 + 61 = 129

now do this: 180 - 129

the answer is 51

Answer:

51⁰

Step-by-step explanation:

there are 180⁰ on a straight line so if substrate 112⁰ from 180⁰ the answer will be 68⁰ so now we can get T simply like this below

61⁰+68⁰+T=180⁰

129⁰+T=180⁰

T=180⁰-129⁰

T=51⁰

Evaluate 8 − 12 ÷ 2 + 3. 1 −1 4 5

Answers

According to the order of operations, multiplication and division are performed before addition and subtraction.

... 8 - 12 ÷ 2 + 3

... = 8 - 6 + 3 . . . . . . 12÷2 = 6

... = 2 + 3 . . . . . . . . . 8-6 = 2

... = 5

Answer:-13

Step-by-step explanation:

6th grade math! hehe (:

Answers

Answer:

Answer is 8 hours

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

Can someone help me out this is hard

Answers

Answer:

a function needs inputs and outputs so just fill in anything that doesn't directly cooralate to itself

Step-by-step explanation:

Answer:

x y

1 1

1 2

2 2

3 2

Step-by-step explanation:

Answers

Answer:

660 ways

Step-by-step explanation:

we have two numbers in consecutive positions in this question

(1,1) and (2,2)

numbers of ways that (1,1) are in consecutive positions = 6!/2! = 360

number of ways that (2,2) are in consecutive positions = 6!/2! = 360

the permutation of (11),(22),3,4,5 = 5!

ps:I countedthepairsasoneeach.

5! = 120

to get total number of permutations

7!/2!2!

= 5040/4

= 1260

the number of ways that 2 identical digits are not consecutively positioned = 1260-360-360+120

= 660 ways

Other Questions

Apply the Distributive Property 5(x + 3)

Slope = 3/2, (2,7) is on the line

Please help me with number 5 I will mark branlist

Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.The question is on the screenshot.RULE 1: Do not answer just for points because that's just mean