All categories

3 years ago

Determine if the events are independent or dependent

Mathematics

2 answers:

BartSMP [9]3 years ago

7 0

Answer:

Dependent

Step-by-step explanation:

The cards aren't replaced, so it depends on which ones are taken.

Colt1911 [192]3 years ago

6 0

Answer:

dependent

Step-by-step explanation:

there is no replacement

You might be interested in

A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi

erik [133]

If it was 25%, it would be a 90 degree angle. So we can calculate this using a proportion. 25/90 = 24/x. Cross multiply to get 25x = 2160. When you divide by 25 on both sides you get 86.4. So the angle should be 86 degrees. Hope this helps.

3 0

3 years ago

Read 2 more answers

Solve the inequality. –28 4 k < 4 k < 21

KengaRu [80]

Answer:

I think it would be k < 4

Step-by-step explanation:

3 0

3 years ago

Multiply and simplify if possible. sqrt 5x(sqrt x-5 sqrt 5)

RSB [31]

Making the assumption that your problem looks like this,
$\sqrt{5x}(\sqrt{x}-5\sqrt{5})$

we use the distributive property to multiply:
$\sqrt{5x}\times \sqrt{x}-\sqrt{5x}\times5\sqrt{5}
\\
\\ \sqrt{5x^2} - 5\sqrt{25x}
\\
\\ x\sqrt{5}-25\sqrt{x}$

5 0

3 years ago

Triangles ABC and XYZ are shown below. A student knows that AX and 2cm 22. The student claims that AABC is similar to AXYZ

bezimeni [28]

sorry i couldn't answer tho

7 0

3 years ago

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.

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:

$n = 250, p = 0.58$

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

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

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

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

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

$Z = -2.69$

$Z = -2.69$ has a pvalue of 0.0036

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

8 0

3 years ago

Read 2 more answers