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3 years ago

Look at the rectangle and the square:

Mathematics

1 answer:

VashaNatasha [74]3 years ago

5 0

Answer:

She is incorrect

Step-by-step explanation:

Pythagorean theorem:

16^2+8^2

256+64=320

320 is 17.89

8^2+8^2

64+64=128

√128 is 11.31

Ada is incorrect. The length of diagonal SQ is bigger than the length of diagonal OM. But it is not two times bigger.

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P(X< ) 1-P(X> ) A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the softball

Mashutka [201]

Answer:

19.49% probability that no more than 16 of them are strikes

Step-by-step explanation:

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:

$n = 30, p = 0.626$

$\mu = E(X) = np = 30*0.626 = 18.78$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.626*0.374} = 2.65$

What is the probability that no more than 16 of them are strikes?

Using continuity correction, this is $P(X \leq 16 + 0.5) = P(X \leq 16.5)$ , which is the pvalue of Z when X = 16.5. So

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

$Z = \frac{16.5 - 18.78}{2.65}$

$Z = -0.86$

$Z = -0.86$ has a pvalue of 0.1949

19.49% probability that no more than 16 of them are strikes

7 0

3 years ago

Jose and Kaitlyn have a contest to see who can throw a baseball the farthest. Kaitlyn wins, with a throw of 200 ft. If Jose thre

Anton [14]

All you have to do to find the answer is divide 200 by 4 to get 50. so now you know 1/4 of 200 is 50. but jose threw the ball 3/4 as far kaitlyn so you would have to multiply 50 by 3 to get 150 which is 3/4 of 200 . so 150 ft is the answer and how far jose threw the ball.

4 0

3 years ago

Read 2 more answers

Graph the equation Y = 2X +4

Klio2033 [76]

Hope this helps you

8 0

3 years ago

(56 x10°)-4,000,000 =

AlexFokin [52]

It should be -3999944

3 0

3 years ago

Which of the following are solutions to the inequality below? Select all that apply.

Naddik [55]

Answer:

p=4

Step-by-step explanation:

because 5 is less than or equal to four!

another number grater than five no less than

so the answer is p=4

7 0

2 years ago