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kifflom [539]
3 years ago
6

How many possible outcomes exist?

Mathematics
1 answer:
dybincka [34]3 years ago
8 0

16 ...........jsjshshsh

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Consider a normal distribution with mean 23 and standard deviation 7. What is the probability a value selected at random from th
Trava [24]

Answer:

0.5 = 50% probability a value selected at random from this distribution is greater than 23

Step-by-step explanation:

Problems of normally distributed samples are 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.

In this problem, we have that:

\mu = 23, \sigma = 7

What is the probability a value selected at random from this distribution is greater than 23?

This is 1 subtracted by the pvalue of Z when X = 23. So

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

Z = \frac{23 - 23}{7}

Z = 0

Z = 0 has a pvalue of 0.5

0.5 = 50% probability a value selected at random from this distribution is greater than 23

5 0
3 years ago
Read 2 more answers
What is the next two steps for solving the following equation by using the quadratic formula?
sashaice [31]
<span>2n^2 - 7n - 3 = 0
a = 2
b = -7
c =-3
Then use the Quadratic formula:
x = [-b +-sqroot(b^2 -4*a*c)] / 2*a


</span>
6 0
3 years ago
Help please 6x^2-18
prohojiy [21]

Answer:

6(x^2-3)

Step-by-step explanation:

5 0
3 years ago
A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
yan [13]
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a 
a = -31/42.25 
a = -124/169 

Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
6 0
2 years ago
Please simplify -8(-3a-2)
Misha Larkins [42]

Answer: 24a+16

Step-by-step explanation:

4 0
3 years ago
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