Answer:
And using a calculator, excel or the normal standard table we have that:
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 scores of a population, and for this case we know the distribution for X is given by:
Where 
and 
Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We can find the individual probability like this:
And using a calculator, excel or the normal standard table we have that:
Step-by-step explanation:
d/dx [f(x)]
= d/dx [(2x + 5)⁶]
= 6(2x + 5)⁵ * d/dx (2x + 5)
= 12(2x + 5)⁵.
8. Adjacent and complementary angles are #1 & 2, since they are next to each other and added together equal 90°
9. Vertical angles are # 1 & 4, since they are opposite to each other.
10. Adjacent and supplementary angles are #4&5, since they are next to each other and add up to 180°
11. The acute angles are #1&2&4, since they are all less than 90°
12. The obtuse angles are #5&6, since they are greater than 90°
13. The angle measurements are:
1: 42°
2: 90-#1 = 90-42 = 48°
3: right angle = 90°
4: opposite #1 = 42°
5: 180-#4 = 180-42 = 138°
6. opposite #5 = 138°
btw, we cannot see the diagram for #5,6,7
Here's the solution :
slope of the line is equal to :
slope of given line = 3
Answer:
The answer, also the only answer, is C.
Step-by-step explanation:
A: 20 is 1/2 of 40, so you would arrive at Seneca Falls in half an hour.
B: Same as a, 2 is 1/2 of 4, so you would also arrive to school in half an hour.
C: 60 is double 30, so it would take two hours to get from Albany to New York City.
