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3 years ago

Will give Brainiest if you are right

Mathematics

1 answer:

bezimeni [28]3 years ago

6 0

Answer:

<u>H. x - 8 ≤ 15</u> is correct I think.

Step-by-step explanation:

Have a nice day!

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In a recent year, Washington State public school students taking a mathematics assessment test had a mean score of 276.1 and a s

Oksi-84 [34.3K]

Answer:

a) $\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

b) From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

c) $P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

$P(Z\geq2.070)=1-P(Z$

Step-by-step explanation:

Let X the random variable the represent the scores for the test analyzed. We know that:

$\mu=E(X) = 276.1 , \sigma=Sd(X) = 34.4$

And we select a sample size of 64.

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Part a

For this case the mean and standard error for the sample mean would be given by:

$\mu_{\bar x} =\mu = 276.1$

$\sigma_{\bar x} =\frac{\sigma}{\sqrt{n}}=\frac{34.4}{\sqrt{64}}=4.3$

Part b

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=276.1, \frac{\sigma}{\sqrt{n}}=4.3)$

Part c

For this case we want this probability:

$P(\bar X \geq 285)$

And we can use the z score defined as:

$z=\frac{\bar x -\mu}{\sigma_{\bar x}}$

And using this we got:

$P(\bar X \geq 285)=P(Z\geq \frac{285-276.1}{4.3}=2.070)$

And using a calculator, excel or the normal standard table we have that:

$P(Z\geq2.070)=1-P(Z$

8 0

3 years ago

Whoever gets this right gets brainlyess answer and it's worth 10 points :)

Lunna [17]

60% = 0.6
12 / 0.6 = 20

answer 12 is 60% of 20

8 0

3 years ago

You have 10 marbles in a bag: 3 blue, 2 green, 4 yellow, and 1 purple. If you close your eyes and choose a marble at random, wha

Naily [24]

Answer:

3/10

Step-by-step explanation:there are 10 marbles all together three blue ones

4 0

3 years ago

Read 2 more answers

A toy plane moves at a constant speed of 2m/s. How long will it travel a distance of 42 meters?

Tpy6a [65]

Answer:

option A. 21 sec

Step-by-step explanation:

Speed = the distance over the time

Given:

Speed = 2 m/s and distance = 42 m and time = t

So,

2 = 42/t

Solve for t

t = 42/2 = 21 sec.

The answer is option A. 21 sec

7 0

3 years ago

If 60 seconds are in a minute, 60 minutes in an hour, and 24 hours in a day, then 86,400 seconds are in a day. What type of reas

Anvisha [2.4K]

Let's define both terms first. Inductive reasoning is a conclusion that you get out of a series of observation. However, this may be true or not. But for deductive reasoning, you reach a conclusion that you get out of a series of observations that are also supported by facts. These are all true.

Since all the statements are based on facts, this is a deductive reasoning.

The answer is B. deductive.

4 0

3 years ago