Answer:
The sample size is 4
Step-by-step explanation:
Null hypothesis: The mean is 2
Alternate hypothesis: The mean is less than 2
Mean = 3
sd = sqrt(variance) = sqrt(4) = 2
At 95% confidence level, t-value is 1.960
Assuming the lower bound of the mean is 1.04
Lower bound = mean - (t×sd/√n)
1.04 = 3 - (1.96×2/√n)
3.92/√n = 3 - 1.04
3.92/√n = 1.96
√n = 3.92/1.96
√n = 2
n = 2^2
n = 4
Answer:
4 inches
Step-by-step explanation:
<u>Triangular prism formulas</u>
Volume = 0.5 * b * h * length, where b is the length of the base of the triangle, h is the height of the triangle and length is prism length. area = length * (a + b + c) + (2 * base_area) , where a, b, c are sides of the triangle and base_area is the triangular base area.
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<u>How to find the height of a triangle - formulas</u>
area = b * l / 2, where b is a base, l - length.
so l = 2 * area / b/w-width.
<u>Solve</u>
1/2 x 6 x 8 x ? = 96
2 x 96 = 192
192/8 = 24
24/6 = 4
length = 4 inches
A percentage is the ratio of a number to 100
Hope this helps
Green paper > 18 / 3 = 6 inch pieces
Red paper > 24 / 6 = 4 pieces of paper
total = 4 + 3 = 7 piece of paper in total :)