Answer:
The volume of candy that is needed by Polly is 1,437.3 cubic inches
Step-by-step explanation:
What we have to do here is to find the volume of the sphere with a diameter of 14 inches
If the diameter is 14 inches, then the radius is 14/2 = 7 inches
This is because the radius is half the measure of the diameter
To find the volume of the sphere, we use the formula below;
Volume of sphere
= 4/3 * pi * r^3
pi = 22/7
r = 7 inches
Volume is;
4/3 * 22/7 * 7^3
= 4/3 * 22 * 7^2 = 1437.3 cubic inches
Andrew answered 34 questions correctly.
I got the answer by divided the 85% by 100% (100% because it's the total percentage.) I received 0.85 when dividing that. Then, I took the 0.85 and divided it by the total of 40 questions, and that gave me the answer of 34.
The distributive property: a(b + c) = ab + ac
(-7c + 8d)0.6 = (-7c)(0.6) + (8d)(0.6) = -4.2c + 4.8d
Answer:
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean weight is less than 4 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
