Answer:
y = -1/3 x+9
Step-by-step explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9
Answer: the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Step-by-step explanation:
Given that;
p = 10% = 0.1
so let q = 1 - p = 1 - 0.1 = 0.9
n = 818
μ = np = 818 × 0.1 = 81.8
α = √(npq) = √( 818 × 0.1 × 0.9 ) = √73.62 = 8.58
Now to find P( x < 100)
we say;
Z = (X-μ / α) = ((100-81.8) / 8.58) = 18.2 / 8.58 = 2.12
P(x<100) = P(z < 2.12)
from z-score table
P(z < 2.12) = 0.9830
Therefore the probability that fewer than 100 in a random sample of 818 men are bald is 0.9830
Let the height of the tower be T
Let the height of the Anna tower be A
T = 3*A
You can also fit the values to check.
18 = 3*6
Answer:
x(y² - 4) = 1.512
Step-by-step explanation:
We need to evaluate the following expression for x = 0.2 and y = 3.4 :
x(y² - 4)
Put the values of x and y.
x(y² - 4) = (0.2)((3.4)² - 4)
= (0.2)((3.4)² - 4)
= 0.2×7.56
= 1.512
So, the value of the above expression is 1.512
