Answer:
The correct result would be 3 3/5.
Step-by-step explanation:
If you would like to find the quotient of 2 1/4 and 5/8, you can calculate this using the following steps:
2 1/4 = 9/4
2 1/4 / 5/8 = 9/4 / 5/8 = 9/4 * 8/5 = 18/5 = 3 3/5
Answer:
104.5 meters square
Step-by-step explanation:
The area of a trapezoid is found using the formula A = 1/2 (a + b)h. Substitute a = 8, b = 11 and h = 12.
The area is A = 1/2(8+11)*12.
A = 1/2 (19)*12 = 104.5
Triangles add up to 180. So add up the two angles given, and subtract that from 180. That will be x!
Answer:
6
Step-by-step explanation:
2+6=8
8+6=14
14+6=20
20+6=26
Answer:
7
Step-by-step explanation:
This is a Poisson distribution problem with the formula;
P(x;μ) = (e^(-μ)) × (μ^(x))/x!
We are told that the grocer sells three of a certain article per week. Thus;
μ = 3
Now, we want to find out How many of these should he have in stock so that the chance of his running out within a week is less than 0.01.
This means;
P(X > k) < 0.01
This can be rewritten as;
P(X ≤ k) < 0.99
Let's try x = 8
P(8;3) = (e^(-3)) × (3^(8))/8!
P(8;3) = 0.008
But; P(X ≤ 8) = 1 - 0.008 = 0.992
This is more than 0.99 and thus is not the answer
Let's try x = 7
P(7;3) = (e^(-3)) × (3^(7))/7!
P(7;3) = 0.022
But; P(X ≤ 7) = 1 - 0.022 = 0.978
Thus is less than 0.99.
Thus, stock should be 7
