Pls help me with this I have to go to bed soon( I need the volume of the sphere)

What is the value of x in the equation 1/2 X -3/4=3/8-5/8x?

sergij07 [2.7K]

Answer:

76

Step-by-step explanation:

4 0

3 years ago

5 times p squared times q+ 10q

Basile [38]

Answer:

5*p^2*q+10q = 5p^2*q + 10q

Step-by-step explanation:

5 * p squared * q + 10q = 5p^2*q+10q

5 0

3 years ago

A film distribution manager calculates that 7% of the films released are flops. If the manager is correct, what is the probabili

diamong [38]

Answer:

0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%

Step-by-step explanation:

I am going to 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:

$p = 0.07, n = 404$ . So

$\mu = E(X) = np = 404*0.07 = 28.28$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{404*0.07*0.93} = 5.13$

If the manager is correct, what is the probability that the proportion of flops in a sample of 404 released films would be greater than 4%?

This is the pvlaue of Z when X = 0.04*404 = 16.16. So

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

$Z = \frac{16.16 - 28.28}{5.13}$

$Z = -2.36$

$Z = -2.36$ has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the proportion of flops in a sample of 404 released films would be greater than 4%

7 0

4 years ago

Please answer the whole page .

baherus [9]

1. Brandi was driving 60mph down the highway. Ratio is 60/1. 60mi per 1 hr

2. Brandi bought 5 apples at the store and 6 oranges. The ratio of apples to oranges is 5:6 or 5 to 6.

3. Brandi has 3 sisters and 1 brother. Ratio of sisters to brothers is 3:1 or 3 to 1.

4. Brandi has 20 shirts and 10 pants in her closet. The ratio of shirts to pants is 20:10 or 20 to 10.

5. Brandi has 12 boys in her class and 13 girls. The ratio of boys to girls is 12:13 or 12 to 13

Hope this helps:)

7 0

4 years ago

There are 5 pink marbles and 4 orange marbles in a bag. Madison will randomly pick two marbles out of the bag without replacing

scZoUnD [109]

In order to find the probability of both marbles being drawn being the same colour, the probability of each marble being drawn has to first be found and then multiply both probability to find the probability of two orange marble being drawn consecutively.

Now, the probability of drawing an orange marble = ⁴/₉

since a marble has been removed and wasn't replaced then there are now 5 pink + 3 orange marbles (8 marbles in total) in the bag.

∴ the probability of the second marble drawn being orange = ³/₈
⇒ the probability of <span>two orange marbles in a row without the first being replaced = </span>⁴/₉<span> </span>× ³/₈ = ¹/₆

6 0

3 years ago