Complete question :
The average amount that a college student spends on a textbook is $205 with a
standard deviation of $35. What is the probability that a student spends:
A. between $10 and $310?
Answer:
0.999
Step-by-step explanation:
Mean, m = 205 ; Standard deviation, s = 35
Z = (x - m) / s
x = 310
Z = (310 - 205) / 35 = 3
P(z < 3) = 0.99865
x = 10
Z = (10 - 205) / 35 = - 5.57
P(Z < - 5.5)
P(z < 3) - P(z < - 5.5)
0.99865 - 0
= 0.999
Answer: Option C.
Step-by-step explanation:
Use the formula for calculate the volume of a cone:

Where r is the radius and h is the height.
Volume of the cone A:

Volume of the cone B:
If the height of the cone B and the height of the cone A are the same , but the radius of the cone B is doubled, then its radius is:

Then:

Divide
by
:

Therefore: When the radius is doubled, the resulting volume is 4 times that of the original cone.
Answer:
5 significant figures
Step-by-step explanation:
looking at the last two digit of the numbers, it multiplication gives, 4*5=20
we already have four significant figures ,
so, 2 would be the fifth since 0 is not going to be counted
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
It is convenient to remember the ratios of side lengths of these "special triangles."
The side ratios of ΔABC are 1 : 1 : √2, so BC = AC/√2 = 6.
The side ratios of ΔBCD are 1 : √3 : 2, so BD = BC/2 = 6/2 = 3.
The value of x is 3.