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3 years ago

PLEASE HELP! I WILL MARK BRAINLIEST

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

9514 1404 393

Answer:

1. 4463

2. no

Step-by-step explanation:

1. Put the value of x into the equation and do the arithmetic.

f(4) = 5000(0.972^4) ≈ 5000·0.8926168 ≈ 4463.08

There will be about 4463 lemmings in 4 years.

2. An exponential function has the variable in the exponent. When the variable is the base of a term that has an integer constant exponent, we call it a polynomial function.

The function is NOT an exponential function.

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Answer:

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Let X = number of students who read above the eighth grade level.

(a)

A sample of n = 269 students are selected. Of these 269 students, X = 224 students who can read above the eighth grade level.

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$\hat p=\frac{X}{n}=\frac{224}{269}=0.8327$

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Thus, the proportion of tenth graders reading at or below the eighth grade level is 0.1673.

(b)

the information provided is:

n = 709

X = 546

Compute the sample proportion of tenth graders reading at or below the eighth grade level as follows:

$\hat q=1-\hat p$

$=1-\frac{X}{n}$

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$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

Compute the 95% confidence interval for the population proportion as follows:

$CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

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Thus, the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.198, 0.260).

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