Answer:
131.25
Step-by-step explanation:
25r²-10r+10r-4=0
25r²-4=0 (Since -10 and 10 cancel each other out)
25r²=4
Divide both sides by 4 to get r² = 6.25
Square both sides to get r = 2.5
Plug 2.5 back into the equation to get the answer of 131.25
Answer:
Step-by-step explanation:

Using the margin of error for the z-distribution, the sample sizes are given as follows:
a) 822.
b) 1068.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

The margin of error is given by:

In which:
is the sample proportion.
We have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
Item a:
The estimate is of
, hence we solve for n when M = 0.03.





n = 821.2
A sample of 822 is needed.
Item b:
No prior estimate, hence
.





n = 1067.11
A sample of 1068 is needed.
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
the idea is to devide the shape into 3 smaller parts.
Step-by-step explanation:
devide it to three areas :
> semi-circle (0.5 * pi * R), R=5
>Square (10 * 10)
> triangle (0.5 * base * height),
bsse =10, height =7
Add them together.
(7^8×7^3×7^4)/(7^9×7^5)=(7^(8+3+4))/(7^(9+5))=(7^15)/(7^14)=7^1=7
The answer is 7.