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2 years ago

13

Scott will run at least 30 miles this week so far he has run 18 miles what are the possible numbers of additional miles he will

run?

2 answers:

Alex2 years ago

3 0

Answer:

The possible numbers of miles can be from 1 to 12.

Step-by-step explanation:

can plz get brainliest I need to rank up soon tyvm

tiny-mole [99]2 years ago

3 0

12 to 30 miles is the possible number of maybe 12

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PRECALCULUS QUESTION PLEASE HELP!!!!!!

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By definition you have that the tangent of an angle in a right triangle is given by the quotient between the sine of the angle and the cosine of the angle.
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A. tan Y= y/z
answer
A. tan Y= y/z

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What is the greatest common factor of 3x4, 15x3, 21x2

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$3x^2$

Step-by-step explanation:

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What is the ricipical of -2/9

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3 years ago

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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.

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:

$n = 250, p = 0.58$

So

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

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

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

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3 years ago

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Can someone help me with this

Morgarella [4.7K]

Answer:

FG=30

Step-by-step explanation:

Since we know that Point G is on the Segment FH, it doesn't really matter where G is, but we can know for certain that:

$FH=FG+GH$

We are given that FH is 4x, GH is x, and FG is 2x+10. Substitute:

$4x=(2x+10)+x$

Solve for x. On the right, combine like terms:

$4x=3x+10$

Subtract 3x from both sides:

$x=10$

So, the value of x is 10.

To find the value of FG, substitute 10 into its x:

$FG=2x+10\\FG=2(10)+10$

Multiply:

$FG=20+10$

Add:

$FG=30$

And we're done!

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3 years ago