Answer:
a) 0.345
b) 0.005
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 0.3
We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.
Formula:
a) P(length greater than 100.12 inches)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
b) Standard error due to sampling:
P(length greater than 100.12 inches for the sample)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
It could exist at either 15 or at -25. Both of these numbers are 20 away and distance is often measured in absolute terms.
Opposite angle in the right angle triangle
Answer:
40 square inches.
Step-by-step explanation:
It is given that the new club sticker is in the shape of a triangle.
Height of triangle = 8 inches
Base of triangle = 10 inches
We need to find the area of sticker.
Area of triangle
Substitute base = 10 and height = 8 in the above formula.
Area of triangle
Area of triangle
Area of triangle
Therefore, the area of the club sticker is 40 square inches.
Answer:
226 11/20 cm^2.
Step-by-step explanation:
This consists of 2 trapezoids and 4 rectangles.
Area of the 2 trapezoids = 2 * 4 *(6 1/2 + 5 1/4 ) /2
= 47 cm^2.
Area of the 4 rectangles = 4*9 + 6 1/2 * 9 + 4 1/5 * 9 + 9* 5 1/4
= 36 + 117/2 + 189/5 + 189/4
= 3591/20 cm^2
Total surface area = 47 + 3591/20
= 4531/20
= 226 11/20 cm^2.