Answer:
180
Step-by-step explanation:
Each triangle shown is a right triangle, meaning the angle is 90 degrees. All triangles equal 360 degrees, and you already have 2 90 degree angles, so just subtract 180 from 360 and you get 180.
Answer:
a) 150 pounds
b) 6.75
c) 156.25
d) 0.177
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 150 pounds
Standard Deviation, σ = 27 pounds
We are given that the distribution of weight of persons on campus is a bell shaped distribution that is a normal distribution.
a) expected value of the sample mean of their weights

b) standard deviation of the sampling distribution

c) average weight for these 16 people will result in the total weight exceeding the weight limit of 2500 points

d) P(sample of 16 persons on the elevator will exceed the weight limit)
Formula:
P(x > 156.25)
Calculation the value from standard normal z table, we have,

0.177 is the probability that a random sample of 16 persons on the elevator will exceed the weight limit.
You would multiply $81.50x2.5 and you’d get 203.75
The equation of a line is y=-1/4x-7, (option 1)
<h3>
What is the equation of a line? </h3>
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis.
<h3>
How do you find the equation of a line?</h3>
Write the equation in the form y = mx + b to find the slope m and the y-intercept. This will allow you to graph the equation using the slope and y-intercept.
Given:-
Equation of the line is y=4x+8
The point through which the line passes (-8,4).
here the slope of the line is m1=4
To find the perpendicular line we know the formula
m1*m2=-1
By putting the value of m1 we get m2= -1/4
By using the one-point formula of the line we have
=>(y-y1)=m2*(x-x1)
By putting the values of y1 and x1 we get
(y1,x1)=(-8,4)
=>(y+8)=-0.25*(x-4)
y+0.25x+7=0
Hence the desired equation of the line is y=-1/4x-7
To find more about the straight line equations visit :
brainly.com/question/25969846
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By adding or subtracting from the exponent in an exponential, it can cause the graph to be translated left or right on the grid.
By adding or subtracting from an exponential function, it can cause the graph to be translated up or down on a grid.