Answer:
4. / D.
Step-by-step explanation:
Answer:
162.24 ft
Step-by-step explanation:
So you first find the area of one side.
5.2 x 5.2 = 27.4
Then you times it by 6, because a cube has 6 sides.
27.4 x 6 = 162.24 ft
Original Circle Area = 45
A = pi * r^2
Plug in what we know:
45 = 3.14 * r^2
Divide 3.14 to both sides:
14.3312102 = r^2
Find the square root of both sides:
r = 3.78565849
Find 2/3 of this:
2/3 * 3.78565849 = 2.52377233
So this is the radius of the newly dilated circle.
A = pi * r^2
A = 3.14 * 2.52377233^2
A = 3.14 * 6.36942677
A = 20
So the area of the newly dilated circle is 20 square inches.
Answer:
1) test is one tail hypothesis test.
2) 110 sampled customers must have favored Coke.
3) at 5% significance, We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.
4) at 1% significance level, the conclusion would not change.
Step-by-step explanation:
1) Let p be the proportion of customers who prefer Coke to other brands
- : p=0.50
- : p>0.50
Since the alternative hypothesis claims p <em>more than</em> 0.50, this test is one tail hypothesis test.
2) Out of a random sample of 200 consumers, 55% favored Coca-Cola over other brands. Thus 200 × 0.55 = 110 sampled customers must have favored Coke.
3) at 5% significance level, p-value =0.07761 >0.05, therefore we fail to reject the null hypothesis. We cannot conclude that the proportion of customers who prefer Coca-Cola exceeds 50%.
4) at 1% significance level, p-value =0.07761 >0.01, thus the conclusion does not change