I need help with this please

Mathematics

1 answer:

garri49 [273]3 years ago

6 0

Answer:

diameter = 24 yards

Step-by-step explanation:

C = π·d

75.36 = 3.14d

d = 75.36/3.14

d = 24

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Let f(x)=15/(1+4e)^(-0.2x)<br><br> What is the y-intercept of the graph of f(x) ?

sergejj [24]

That means when x=0
e^-0.2x =e^0=1
So f(0)=15/5=3

5 0

4 years ago

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Need help with this question

Hatshy [7]

Answer:

1. He added 5 instead of subtracted 5.

2. He should have subtracted 5.

3. 2 2/3

Step-by-step explanation:

3x+5=13

subtract 5 to both sides 3x=8

divide both sides by 3 x=8/3 or 2 2/3

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3 years ago

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. Exam scores for a large introductory statistics class follow an approximate normal distribution with an average score of 56 an

Andru [333]

Answer:

0.1% probability that the average score of a random sample of 20 students exceeds 59.5.

Step-by-step explanation:

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 $\frac{\sigma}{\sqrt{n}}$

Normal probability distribution

Problems of normally distributed samples can be 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:

$Z = \frac{X - \mu}{\sigma}$

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.

In this problem, we have that:

$\mu = 56, \sigma = 5, n = 20, s = \frac{5}{\sqrt{20}} = 1.12$