Answer:
=2
Step-by-step explanation:2x2=4-2=2
Answer:
-20
Step-by-step explanation:
It is like the opposite number. Because 20 is positive its inverse is negative 20.
HOPE THIS HELPED
Answer:
1) x=√−y+5z or x=−√−y+5z
2) g=2x-4/x
Step-by-step explanation:
explanation for first problem:
Let's solve for x.
y=−x^2+5z
Step 1: Flip the equation.
−x^2+5z=y
Step 2: Add -5z to both sides.
−x^2+5z+−5z=y+−5z
−x^2=y−5z
Step 3: Divide both sides by -1.
−x^2
−1
=
y−5z
−1
x2=−y+5z
Step 4: Take square root.
x=√−y+5z or x=−√−y+5z
explanation for problem 2:
Let's solve for g.
gx=2x−4
Step 1: Divide both sides by x.
gx/x = 2x-4/x
g=2x-4/x
Answer:
(x-3)^2 + (y-1)^2 = 4
Step-by-step explanation:
The equation of a circle is usually written in the form
(x-h)^2 + (y-k)^2 = r^2
Where (h,k) is the center and r is the radius
The center is at the origin so (h,k) = (3,1) and the radius is 2 so r=2
(x-3)^2 + (y-1)^2 = 2^2
(x-3)^2 + (y-1)^2 = 4
Answer:
The test statistic for Norah's test is 
Step-by-step explanation:
Norah is in charge of a quality control test that involves measuring the amounts in a sample of bottles to see if the sample mean amount is significantly different than 500 ml.
This means that at the null hypothesis we test if the sample mean is 500 ml, that is:

At the alternate hypothesis, we test if it is differente than 500 ml, that is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.
500 is tested at the null hypothesis:
This means that 
She takes a random sample of 16 bottles and finds a mean amount of 497ml, and a sample standard deviation of 6ml.
This means that 
Calculate the test statistic for Norah's test.



The test statistic for Norah's test is 