Answer:
The question is incomplete, but the step-by-step procedures are given to solve the question.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 2.575.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M.
The upper end of the interval is the sample mean added to M.
The 99% confidence interval for the population mean amount of beverage in 16-ounce beverage cans is (lower end, upper end).
Answer:
The length of the rectangle is 18 cm
The width of the rectangle is 6 cm
Step-by-step explanation:
Let
x-----> the length of the rectangle
y----> the width of the rectangle
we know that
The perimeter of the rectangle is

we have

so
------> equation A
------> equation B
Substitute equation B in equation A and solve for y
48=2(2y+6+y)
48=2(3y+6)
48=6y+12
6y=48-12
y=36/6=6 cm
Find the value of x
x=2(6)+6=18 cm
The area of the rectangle is
A=xy
A=18*6
A=108 cm^2
The top two answers are equivalent, while the bottom one is not. You would use distributive property in the parentheses. If both expressions are the same, they are equivalent
Hi. Okay, #16 says write a decimal between 0.5 and 0.75. Then write it as a fraction in simplest form and as a percent.
write a decimal = I will pick 0.15 - now we need to write it as a fraction since the 5 is in the hundredths place our fractions would be:
15/100 = 3/20 (simplest form)
Now to change .15 to a percent we simply move the decimal two places to the right and add a % sign so. 15 = 15%
Question 17
How would you write 43 3/4% as a decimal
For this one, it is a lot easier than you think. The answer is 43.75. Let me tell you how...
To change 3/4 to a decimal, you are merely dividing the 4 into 3.00, hence the .75 and then just bring the 43 over. With problem like this that end in 1/4, 1/2, 3/4 just think of 4 quarters---1 quarter =.24, 2 quarters = .50, 3 quarters =.75
Question 16 answer is: .15, 15/100=3/20 and 15%
Question 17 answer is: 43.75
I hope this helps. If you have any questions, please don't hesitate to ask.
Take care,
Diana
Answer:
Step-by-step explanation:
2x+3x+4x=180
8x=180
divide by 8 to both sides
x=22.5