Answer:
mean = 2.55
Standard deviation = 1.118
Step-by-step explanation:
Probability of babies who are boys
P = 0.51
Then we have q = 1-p
= 1-0.51
= 0.49
We have n = 5
We calculate the mean as:
np
= 0.51x5
= 2.55
Therefore mean = 2.55
The standard deviation
= √variance
= √npq
= √0.51x5x0.49
=√1.2495
= 1.118
Im going to take a guess and say zero because any number times zero is zero.
Answer:

Step-by-step explanation:
Let
x -----> the number of hours that the painter works
we know that
The inequality that represented this situation is equal to

solve for x
Subtract 60 both sides


Divide by 15 both sides


The maximum number of hours is 2
Answer:
Step-by-step explanation:
By the Pythagorean Theorem

Answer:
.
Step-by-step explanation:
In ΔEMR and ΔNMR
MN ≅ MA Given
∠EMR ≅∠NMR Reflexive property
ME ≅ MR Given
ΔEMR ≅ ΔNMR S A S congruent - side Angle side
∠E ≅ ∠R Corresponding Part of Congruent Triangles