Answer:


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 variable of interest of a population, and for this case we know the following conditions
Where
and
And for this case we select a sample size of n= 15. and we want to know the distribution for the sample mean
. We can assume that the distribution for
is approximately normal and given by:

Asuming that the distribution for X is also approximately normal. So then the parameters are:


Answer:
19 cups
Step-by-step explanation:
So, you need 38 more pies. You have to divide 38 by 2 to get 19 cups of sugar.
<u>Solution:</u>
Let us rewrite 30% as

. Let x be the missing number.

and we are done.
<u>Note:</u> You can do the same method by saying that 30% = 0.3 which would then show us that 60 divided by 0.3 is 200.
Answer:
1/5
Step-by-step explanation:
0.2 = 2/10
2/10 = 1/5
Answer:
Step-by-step explanation:
z = 119 Vertically opposite angles are equal.
5x + 41 + 119 = 180 5x + 41 and 119 are supplementary.
4x + 160 = 180 Subtract 160 from both sides
4x = 180 - 160
4x = 20 Divide by 4
x = 20/4
x = 5