4/w=3/6 pls help me this is he

2 answers:

6 0

Cross multiply the fractions to get the following equation:

3w = 4*6

3w = 24

Divide both sides by 3 to get w by itself.

w = 8

The answer is w = 8.

natta225 [31]3 years ago

4 0

The first step for solving this problem is to determine the defined range. This means that you need to find all values of w that would make the denominator equal to 0.
w = 0
To find the defined range,, exclude the restricted values.
$\frac{4}{w} = \frac{3}{6}$ , w ≠ 0
Reduce the second fraction with 3.
$\frac{4}{w}$ = $\frac{1}{2}$
Use cross multiplication to simplify the equation.
8 = w
Switch the sides of the equation.
w = 8, w ≠ 0
Check to see if the solution is in the defined range.
w = 8
This means that the correct answer to your question is w = 8.
Let me know if you have any further questions.
:)

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Suppose that you take a sample of 250 adults. If the population proportion of adults who watch news videos is 0.58, what is the

aliina [53]

Answer:

0.36% probability that fewer than half in your sample will watch news videos

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

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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:

$n = 250, p = 0.58$

$\mu = E(X) = 250*0.58 = 145$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{250*0.58*0.42} = 7.80$

If the population proportion of adults who watch news videos is 0.58, what is the probability that fewer than half in your sample will watch news videos

Half: 0.5*250 = 125

Less than half is 124 or less

So this is the pvalue of Z when X = 124

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

$Z = \frac{124 - 145}{7.8}$