Answer:
Step-by-step explanation:
Question: 5 - 7(z+1) = 7(-9-3z)
We multiply the number in front of the bracket first, since that is multiplication.
--> 5 -7z -7 = -63 - 21z
--> -7z -2 = -63 - 21z
Now, we move all the z and all the numbers to each side.
--> -7z +21z = -63 +2
--> 14z = -61
--> z = -61/14
This cannot be simplified further, so z is -61/14.
Answer:
Sampling distribution
Step-by-step explanation:
The sampling distribution of a sample statistic is the probability distribution of the population of all possible values of the sample statistic.
Answer: 140 female runners
Step-by-step explanation:
First find out the number of runners:
= 42% * 10,000
= 4,200 runners
Then find out the number of female runners:
= 4,200 * 1/3
= 1,400 female runners
Sally finished faster than 90% of the female runners which means that 10% finished faster or at the same time as her.
= 10% * 1,400
= 140 female runners
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.
First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units
Total area=1320+627=1947 units
