Answer:
150 square meters
Step-by-step explanation:
Assuming that this field is triangular, we can multiply the two shortest sides together, and then divide by 2, because that is the formula for the area of a right triangle.
So 15 times 20 is 300
300 divided by 2 is 150
So we can estimate the area to be 150 square meters.
(Upon solving further, we realize that this is a right triangle, so our initial estimation is the exact area)
Answer:
3 Yards
Step-by-step explanation: If 1 yard = 1 multiply by 3 to get ~ 3 Yards.
Answer:
a) mean = 0.125, standard deviation = 0.1397
b)0.1867
c) 0.1867
Step-by-step explanation:
The width of a casing for a door is normally distributed with a mean of 24 inches and a standard deviation of 1/8 inch. The width of a door is normally distributed with a mean of 23 7/8 inches and a standard deviation of 1/16 inch. Assume independence. a. Determine the mean and standard deviation of the difference between the width of the casing and the width of the door. b. What is the probability that the width of the casing minus the width of the door exceeds 1/4 inch? c. What is the probability that the door does not fit in the casing?
Let X denote width of a casing for a door and Y be width of a door.If X and Y is normally distributed, X → N(u, σ²) = N(24, (1/8)²)
Also Y → N(u, σ²) = N(23.875, (1/16)²)
a) Let T be the random variable that denote the difference between width of a casing for a door and width of a door. T = X - Y
E(T) = E(X) - E(Y) = 24 - 23.875 = 0.125
V(T) = V(X) + V(Y) = (1/8)² + (1/16)² = 0.01953
σ(T) = √V(T) = 0.1397
Therefore T → N(u, σ²) = N(0.125, 0.01953)
b) P(T > 0.25)
Using Z score,
P(T > 0.25) = P(Z > 0.89) = 1 - P(Z<0.89) = 1 - 0.8133= 0.1867
c) P(T < 0)
Using Z score,
P(T < 0) = P(Z < -0.89) = 0.1867
Answer:
-3X
Step-by-step explanation:
Answer: $20
Sandy had 138 dollars to spend on 6 books. After buying them she had 18 dollars. How much did each book cost? 20 dollars.