Find the distance between A and B.

bezimeni [28]

The answer is 1:3 because 1/4 has nuts and 3/4 don’t

5 0

3 years ago

The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below. V=1/3πR^H Write the formula to

iren [92.7K]

Answer:

$h=\frac{1}{3} \pi r^{2} v$

Step-by-step explanation:

height is equal to one third times pi times radius squared times volume

4 0

3 years ago

Margie says the set of numbers, 0.1, -1, -2 1/4, 3, are in order from least to greatest. What is her error?

ANEK [815]

Her error was that she thought 0.1 and 1/4 were negatives but they are still positive.

She also thought the larger the negative the greatest one. The smaller negative is the greatest because it's bellow 0.

To solve this you would first need to turn 1/4 into 0.25

It would start out with -2 cause that is the least. Then -1. Now its back to positive so the least to greatest would be normal.

So the real answer would be -2, -1, 0.1, 1/4

7 0

3 years ago

Read 2 more answers

Consider the probability that exactly 90 out of 148 students will pass their college placement exams. Assume the probability tha

Pepsi [2]

Answer:

0.0491 = 4.91% probability that exactly 90 out of 148 students will pass their college placement exams.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes 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 distributions 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 $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Assume the probability that a given student will pass their college placement exam is 64%.

This means that $p = 0.64$

Sample of 148 students:

This means that $n = 148$

Mean and standard deviation:

$\mu = E(X) = np = 148(0.64) = 94.72$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{148*0.64*0.36} = 5.84$

Consider the probability that exactly 90 out of 148 students will pass their college placement exams.

Due to continuity correction, 90 corresponds to values between 90 - 0.5 = 89.5 and 90 + 0.5 = 90.5, which means that this probability is the p-value of Z when X = 90.5 subtracted by the p-value of Z when X = 89.5.

X = 90.5

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

$Z = \frac{90.5 - 94.72}{5.84}$