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Lunna [17]
3 years ago
12

Solve 13 +4x = 3x - 15 for x

Mathematics
1 answer:
natka813 [3]3 years ago
4 0
Solving for x or x=-15
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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
Use the interactive ruler to measure the distance from the center of dilation, C, to the image and pre-image. The distance from
inna [77]

the answer is : 4, 2, one-half.

7 0
3 years ago
Read 2 more answers
X- 5 is greater than 0.
katrin2010 [14]

Answer:

x>5

Step-by-step explanation:

5-5=0 this is wrong. 5.0002-5= is greater than zero.

3 0
3 years ago
Select the correct answer.
likoan [24]

Answer:

x = 20

Step-by-step explanation:

Traingle ABC = Traingle DEC

4x-1×4×5 = x+2×4×5

80x-1 = 2×20x

80x-20x = 2+1

60x = 3

60÷3 = x

x = 20

6 0
3 years ago
Helpppppppp plzzz!! People.
DIA [1.3K]

the answer to the equation is fifteen

8 0
3 years ago
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