Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
Answer:
He should drive his car at a speed of 81.25 kilometers per hour.
Step-by-step explanation:
With a velocity of 65 kilometers per hour, he reaches home in 50 minutes. What speed he needs to reach home 10 minutes earlier, that is, in 50 - 10 = 40 minutes?
To solve this, we use the relation between inverse proportion variables(as the velocity increases, time needed decreases), that is, a rule of three with line multiplication, instead of cross. So
65 kilometers per hour - 50 minutes
x kilometers per hour - 40 minutes
So



He should drive his car at a speed of 81.25 kilometers per hour.
List the hours from 1 to 8
Multiply the hours by how much she is paid per hour ( $12)
X: 1, 2, 3, 4, 5, 6, 7, 8
y: 12, 24, 36, 48, 60, 72, 84, 96
Answer:
A. The vector goes from (4, 0) to (3, -2).
Step-by-step explanation:
The tail of the vector is on the point (4, 0). The head of the vector is on the point (3, -2). Only answer choice A correctly identifies both of the points associated with the vector.