Answer:
<em>Volume: Option A - Around 85.33 (in^3)</em>
Step-by-step explanation:
Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.
Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:
C = 2 * π * r - Where r = radius
Now let us substitute the known value of the circumference as to solve for r, or the radius:
(8π) = 2πr
r = 8π/2π
r = 4
Now take a look at the spherical formula for volume of a sphere:
V = 4/3 * π * r^3 - Where r is yet again the radius
Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:
V = 4/3 * π * (4)^3
V = 4/3 * π * 64
V = 256/3 * π
V = (Around) 85.33π (in)^3
*Don't forget the units
Answer:
B = ±X
Step-by-step explanation:
A^2 + B^2 = A^2 + X^2
Subtract A^2 from each side
A^2-A^2 + B^2 = A^2-A^2 + X^2
B^2 = X^2
Take the square root of each side
sqrt(B^2) = ±sqrt(X^2)
B = ±X
Answer:
Option B:
Classification:
The hypothesis test is Two-tailed.
Step-by-step explanation:
The mean length of imprisonment for motor-vehicle theft offenders in this country is 22.1 months.
This means that the null hypothesis is that the mean is of 22.1 months, that is:
A hypothesis test is to be performed to determine whether the mean length of imprisonment for motor-vehicle theft offenders in this city differs from the national mean of 22.1 months.
At the alternate hypothesis, we test if this mean is different of 22.1, that is:
Which means that the answer is given by option b).
Which of the following is the correct classification of the hypothesis test?
We test if the mean is different from a value, which means that the hypothesis test is Two-tailed.
The firm can interpret the soil test by using Bayes’ Theorem to see what the posterior probabilities of seeing different of oil as wlel as no oil are. By using this, you can tell that it’s more likely that they are going to find medium quality oil.
P(E1soil)= .5*.2=.1
P(E2 soil)=.2*.8=.16
P(E3soil)=.3*.2=.06
P(soil)=.1+.16+.06=.32
P(E1|soil)=.1/.32=.3125
P(E2|soil)=.16/.32=.5
P(E3|soil)=.06/.32=.1875
P(Oil)=P(medium quality oil high quality oil)=.3125+.5=.81257
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)
- Cutiepatutie ☺❀❤
This number should be 10.
The tens digit the the 1st number on a two-digit number. Because the highest number you can go without creating a hundredths place is a 9, and the question says the ones-place (the last digit), this has to make this number 0. If it were to be 1 or anything higher, it would have to create a hundredths place if the rule of the question were to be followed.
Example:
If ones-place were 1, then following rule: 1+9 = 10
Your number would end up being 101 instead of a tenths place number.
I hope that made some sense somewhere!
