Answer: The required interval is (0.679, 0.821).
Step-by-step explanation:
Since we have given that

So, the proportions would be

So, At 90% confidence interval, the z score value would be
z = 1.65
and the hypothesis are :

So, the 90% confidence interval would be

Hence, the required interval is (0.679, 0.821).
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.
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
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.
Step-by-step explanation:
If four players are left, then there are 117 – 4 = 113 players who have been eliminated.