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3 years ago

Answer the 3 questions PLEASE

Mathematics

1 answer:

Daniel [21]3 years ago

3 0

Answer:

1 - Skewed right

2 - 75

3 - 81

Step-by-step explanation:

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Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy m

sashaice [31]

Answer:

1. John still has 3 Apples

2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).

3. If the * is multiplying:

John now has 25937228,2 Apples.

Step-by-step explanation:

Just use the calculator.

7 0

3 years ago

A state insurance commission estimates that 13% of all motorists in its state areuninsured. Suppose this proportion is valid. Fi

umka21 [38]

Answer:

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 50, p = 0.13$

$\mu = E(X) = np = 50*0.13 = 6.5$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.13*0.87} = 2.38$

Find the probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

This is 1 subtracted by the pvalue of Z when X = 4. So

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

$Z = \frac{4 - 6.5}{2.38}$

$Z = -0.84$

$Z = -0.84$ has a pvalue of 0.2005

1 - 0.2005 = 0.7995

79.95% probability that in a randomsample of 50 motorists, at least 5 will be uninsured.

4 0

4 years ago

I’m confused on this one

Alex787 [66]

Triangle ABC is a right triangle, so you can use the Pythagorean Theorem to find diameter AC. 6^2 + 8^2 = x^2. Solve for x to get x = 10. The circumference equation is pi * d, where d is the diameter. So, the answer is 10 pi.

5 0

4 years ago

Kenneth rode his skateboard 3 miles to the park and it took him 30 minutes. What was his speed

Contact [7]

Answer:

$speed = \frac{distance}{time} \\ = \frac{3}{( \frac{30}{60} )} \\ = 3 \times 2 \\ = 6 \: miles \: per \: hour$