Α * R = L where L is the length of the arc of the circle, R is the radius of the circle, and α is the central angle <span>measured </span>in radians, so:
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Answer with explanation</u>
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Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.
Set of hypothesis :

Confidence interval for population proportion is given by :-
, where
n= sample size
= sample proportion
and
is the two-tailed z-value for confidence level (c).
As per given ,
Sample size of parents : n= 1085
Number of parents indicated that they were satisfied= 466
Sample proportion : 
Critical value for 90% confidence interval :
( by z-value table)
Now, the 90% confidence interval :
Thus , the 90% confidence interval: (0.4043, 0.4537).
Since 0.43 lies in 90% confidence interval , it means we do not have enough evidence to reject the null hypothesis .
i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.
Answer:
53. ±6
51. 2
Step-by-step explanation:
According to the Order of Operations [GEMS\BOMDAS\PEMDAS etc.], in this case, evaluate everything in grouping symbols first, then evaluate the exponents to avoid confusion:

I am joyous to assist you anytime.
You can make 6 different towers. If red was at the bottom, there'd be two different possibilities for that: red, yellow, blue, and red, blue, yellow. Same for if blue was at the bottom: blue, red, yellow, and blue, yellow, red. Yellow also applies: yellow, red, blue, and yellow, blue, red. 3*2=6, so 6 possible towers.
You can do this !
The rectangular prism has
-- length = 10 cm
-- width = 7 cm
-- height = 3 cm.
-- The area of the top and bottom is (length x width) each.
-- The area of the left and right sides is (length x height) each.
-- The area of the front and back is (width x height) each.
There. I just laid out all the schmartz you need to answer this question.
The rest is all simple arithmetic, and you're perfectly capable of turning
the crank and getting the answer. You don't need anybody else to do
that part for you.
Don't forget your units. The area of each flat face is (cm) times (cm),
and that product will be some cm² , for area.