<span>-16r^3 - 6r^2 - 18r = -2r(8r^2 + 3r + 9)
hope that helps</span>
Tan (53) = tree height / 9 m
tree height = tan (53) * 9
tree height = 1.327 * 9
tree height = 11.943 meters
Answer:
a. n= 47
b. n= 128
Step-by-step explanation:
Hello!
The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.
You need to calculate the sample size to estimate the population with determined error margins.
To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.
The formula of the margin of error (d) is:
d=
* (
)
I've cleared the sample size of the formula

You need a sample size for the t-Student value and a standard deviation, that's why the information of a pilot study with n=5 and S= 19.62 is given.
a)
95% CI
d= 8 pounds


n= 46.35 ≅ 47
b)
99% CI
d= 5 pounds


n= 127.49 ≅ 128
I hope it helps!
Answer:
The kit has 10 different colors of beads.
There are 10 beads of each color.
This means that we have 10*10 = 100 beads in total.
We know that she uses 5 beads in a project, and then to complete it she uses other 43 beads.
Then the total number of beads used is:
43 + 5 = 48 beads.
Then the remaining number of beads is:
100 - 48 = 52
The distributive property: a(b + c) = ab + ac
7 × 7 = 7 × (10 - 3) = (7)(10) - (7)(3) = 70 - 21 = 49
7 × 7 = 7 × (5 + 2) = (7)(5) + (7)(2) = 35 + 14 = 49