Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Answer:
iwillanswer
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17 one point shots and 39 two point shots were made
Solution:
Given that,
At a basketball game, a team made 56 successful shots
They were a combination of 1- and 2-point shots
Let "x" be the number of 1 point shots
Then, 56 - x is the number of two point shots
The team scored 95 points in all
Therefore,
1(number of 1 point shots) + 2(number of two point shots) = 95
x + 2(56 - x) = 95
x + 112 - 2x = 95
x = 112 - 95
x = 17
Then, number of two point shots = 56 - x = 56 - 17 = 39
Thus 17 one point shots and 39 two point shots were made
Answer:
-5/7
Step-by-step explanation:
Do you want one?
Our answer is
Our greatest common factor, or GCF, is
, so when we factor is out, our divide each term by
, we get our answer. To check this, we can multiply the
back across the parenthesis and see if we get the same result as our initial question.
Hope this helped! :))
Answer:
- 35
Step-by-step explanation:
2(x - 7) = 3(x+7)
2x - 14 = 3x + 21
- 21 - 14 = 3x - 2x
x = - 35
Rechecking :
2(-35 - 7) = 3 (-35 +7)
- 84 = - 84
I hope im right!!!
