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Novay_Z [31]
2 years ago
5

Maggie has a ribbon 27 feet long.What is the length of the ribbon in yards?

Mathematics
2 answers:
AfilCa [17]2 years ago
6 0
The answer is 9 yards lonf
finlep [7]2 years ago
3 0
The ribbon would be 9 yards long
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A simple random sample (SRS) of 100 of a certain popular car in 1997 found that 20 had a certain minor defect in the brakes. An
densk [106]

Answer: The required interval is (0.679, 0.821).

Step-by-step explanation:

Since we have given that

n_1=100\\\\p_1=20\\\\n_2=400\\\\p_2=50

So, the proportions would be

\hat{p_1}=\dfrac{p_1}{n_1}=\dfrac{20}{100}=0.2\\\\\hat{p_2}=\dfrac{p_2}{n_2}=\dfrac{50}{400}=0.125

So, At 90% confidence interval, the z score value would be

z = 1.65

and the hypothesis are :

H_0:\hat{p_1}-\hat{p_2}=0\\\\H_1:\hat{p_1}-\hat{p_2}\neq 0

So, the 90% confidence interval would be

(\hat{p_1}-\hat{p_2})\pm z\sqrt{\dfrac{\hat{p_1}(1-\hat{p_1}}{n_1}+\dfrac{\hat{p_2}(1-\hat{p_2})}{n_2}}\\\\=(0.2-0.125)\pm 1.65\sqrt{\dfrac{0.2\times 0.8}{100}+\dfrac{0.125\times 0.875}{400}}\\\\=0.075\pm 1.65\times 0.0433\\\\=(0.75-0.0714,0.75+0.0714)\\\\=(0.679,0.821)

Hence, the required interval is (0.679, 0.821).

5 0
2 years ago
Suppose Johnny invests $41,745 into an account, which has been earning interest for many years and he now has a total of $39,974
Tcecarenko [31]
The interest means the amount that adds up to your previous capital that you invest in the past. If you invest an amount of money and get an interest revenue out of it, the amount of your capital will be increased, not decreased.
7 0
2 years ago
What is the solution to the proportion 42 over 56 equals 12 over x ? x =_______
levacccp [35]
42 12
—- = —-
56 x


Simplified:

3 12
— = —-
4 x

Multiply both sides by 4:

3 = 48
—-
x

Multiply both sides by x:

3x = 48

Divide both sides by 3:

x = 16
3 0
2 years ago
The congruent sides of an isosceles triangle are each 1 unit longer than the length of the shortest side of the triangle. The pe
DochEvi [55]

Answer:

10 units

Step-by-step explanation:

Represent the length of the shortest side of the triangle by x.  Then the sum of the lengths of the other two sides is 2(x + 1), and the perimeter of the triangle is thus x + 2(x + 1), or 3x + 2.

Represent the side length of the square by x - 2.  Then the perimeter of the square is 2(x - 2) + 2(x - 2) = 4(x - 2) = 4x - 8, and this perimeter matches that of the triangle:

4x - 8 = 3x + 2, or

x = 10

The length of the shortest side of the triangle is 10 units.

7 0
2 years ago
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A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible nu
ahrayia [7]

Step-by-step explanation:

If four players are left, then there are 117 – 4 = 113 players who have been eliminated.

3 0
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