We have that the formula of the volume of a Sphere is
a.
the radius of the sphere is r=2
the volume will be
b.
the radius of the sphere is r=4
the volume will be
c. as we can see the radius of the sphere b, is twice the radius of sphere a, but as we can see because we calculated the volume of spheres, the volume of the sphere b is much bigger than the twice of the volume of the sphere a. It is because we don't have a linear relationship because we have an exponent 3 in the radius in the formula of the volume
I am going to do this problem with more of an algebraic approach weather or not its the way your teacher wants you to do it like this.
The way to do things algebraically is to just set variables for what you want to find and set up equations to represent each sentence.
As seen there are hamburgers and chickens in this problem. So let's set the numbers of hamburgers to x, and the numbers of chickens to y.
Now write out each sentence using variables.
1.) Tia sold 78 hamburgers and chicken tenders.
x+y=78
2.) If she sold 24 more hamburgers than chicken tenders.
x=y+24
Now that we have the 2 equations, its time to solve.
Since we have x=y+24, we can replace the x in the first equation with the second equation
y+24+y=78
2y+24=78
Now we can subtract 24 from both sides.
2y=54
Simplify
y=27
Solve for x
x=27+24=51
Done!
Answer:
C. z=-2.00
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
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 ture mean is equal to 12 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-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:
C. z=-2.00
(1, -4). Steps are in Pic below
Answer:
A= 2
B=28
C=0
Step-by-step explanation:
ax2 + bx + c=0