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erica [24]
3 years ago
7

Use a distributive property to write an expression equivalent to 5 x(3+4)

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0
5 * 3x + 4x = 15x + 4x = 19x
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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

So

\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
Solve for n:<br><br> n/4 + 1 = 5
jekas [21]

Answer:

n=16 :)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Twice a number divided by 5 gives 4<br><br>simple equations<br><br>​
melomori [17]

Answer:

x=10

Step-by-step explanation:

Let the number = x

∴ 2x/5=4

∴2x=5*4

∴2x=20

∴x=20/2

∴x=10

Hope it helps you!

Mark as brainliest if you like it  

3 0
3 years ago
Read 2 more answers
Please help me Find x, y, and z
Evgesh-ka [11]

Answer:

X 90 z 90 y 90

Step-by-step explanation:

5 0
2 years ago
Little Joey can finish carpeting ½ of a room in ¼ of an hour. At this rate, how many rooms can he carpet in 1 hour?
mezya [45]

Answer:

2 rooms

Step-by-step explanation:

1/2 divided by 1/4 is 2

2 times 1 = 2

Answer - 2

5 0
3 years ago
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