Answer:
Step-by-step explanation:
Givens
y2 = - 4
y1 = - 8
x2 = - 3
x1 = - 2
==========
Equation
m = (y2 - y1) / (x2 - x1)
m = (-4 - - 8) / (-3 - - 2)
m = 4 / - 1
m = - 4
Let n represent a number
then, n+2 represents the next even number
n + (n+2) = 94
(basically multiplying (n+2) by + 1)
n + n+ 2
2n+2= 94
2n +2 -2 = 94 -2
2n = 92
n = 46
therefore,
n+ 2
= 46+ 2
= 48
Check:
48 + 46 = 84
✔✔✔✔
Answer: the probability that the person is between 65 and 69 inches is 0.54
Step-by-step explanation:
Since the height for Asian adult males is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = height for Asian adult males.
µ = mean height
σ = standard deviation
From the information given,
µ = 66 inches
σ = 2.5 inches
We want to find the probability that the person is between 65 and 69 inches. It is expressed as
P(65 ≤ x ≤ 69)
For x = 65
z = (65 - 66)/2.5 = - 0.4
Looking at the normal distribution table, the probability corresponding to the z score is 0.34
For x = 69
z = (69 - 66)/2.5 = 1.2
Looking at the normal distribution table, the probability corresponding to the z score is 0.88
Therefore,
P(65 ≤ x ≤ 69) = 0.88 - 0.34 = 0.54
The area of the circle is 95.03.
Answer:
Rate at which you need to travel is 74 miles per hour.
Step-by-step explanation:
We have given,
Distance travel = 185 miles
Time taken = 2.5 hours
We need to find the speed.
i.ee Speed or rate = Distance travel / time taken
Rate = 185 / 2.5
Rate = 74 miles per hour