9514 1404 393
Answer:
1135.2 in³
Step-by-step explanation:
The volume of a sphere is given by the formula ...
V = (4/3)πr^3
The difference in volume will be ...
∆V = Vb -Vs = (4/3)π(10^3 -9^3) = (4/3)π(1000 -729) = 4/3π·271 . . . cubic in
∆V ≈ 1135.2 . . . cubic inches
The basketball has a volume that is 1135.2 cubic inches greater.
_____
If you use 3.14 for π, your answer is 1134.6 in^3.
Answer:
$393.20
Step-by-step explanation:
There are two easy ways to solve this:
1) Use a setup and cross multiply.
First, set up your problem.
<u> $ x </u> = <u>40%</u>
$983 100%
$983 is the total amount, so it is equal to 100%. We're trying to find 40% of it, so we can label the amount as $x. Remember, each side has to be in the same type of measurements (i.e. dollars, percentages, inches, etc.).
Then, cross multiply. You should end up with:
100x = 39,320
Then, simplify.
x = 393.2
x = $393.20
2) Convert the percentage to a decimal and multiply.
First, convert the percentage you're looking for into a decimal:
40% × 100 = 0.4
Then, multiply the decimal with the total sales amount:
$983 × 0.4 = 393.2
= $393.20
Answer:
The smaller angle is 45 degrees.
Step-by-step explanation:
Angles measure 180º. If there are two angles and one of them is three times the other, you would just divide 180 by 4.
The equation would look like:
3x + x = 180
First, the x would be added together:
4x = 180
Then, divide both sides by 4:
x = 45
Answer:
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of 
.
95% confidence level
So 
, z is the value of Z that has a p-value of 
, so 
.
In a sample of 234 individuals over the age of 25, chosen at random from the state of Oregon, 48 did not have a high school diploma.
This means that 
The upper limit of this interval is:
The upper bound of a 95% confidence interval for the proportion of individuals over the age of 25 in Oregon who do not have a high school diploma is of 0.2568.
