Answer:
0.2009
Step-by-step explanation:
Mean(μ) = 65000
Standard deviation (σ) = 7000
n = 25
Let X be the random variable which is a measure of salaries of university professors
Z = (μ - x) /σ/√n
Pr(62500 ≤ x ≤ 64000) = ???
Pr((65000 - 62500)/7000/√25 ≤ z ≤ (65000 - 64000) / 7000/√25)
= Pr(2500 / 7000/5 ≤ z ≤ 1000 / 7000/5)
= Pr(2500 / 1400 ≤ z ≤ 1000/1400)
= Pr(1.79 ≤ z ≤ 0.714)
= Pr(0 ≤ z ≤ 1.79) - Pr(0 ≤ z ≤ 0.714)
From the normal distribution table we have
0.4633 - 0.2624
= 0.2009
Answer:
15km
Step-by-step explanation:
Use the Pythagorean Theorem
a²+b²=c²
9²+12²=c²
81+144=c²
225=c²
Square root both sides
c= 15km
25% just like money 25 50 75 1.00 same thing just going from .25 to .5 so 25%
Answer:
y = -x + 1
Step-by-step explanation:
eqn of line: y=mx+c
perpendicular, m1 x m2 = -1
m × 1 = -1
m = -1
y=-x+c
sub x=-5, y=6
6 = -(-5) +c
6 = 5 + c
c = 1
y = -x + 1
