What is the difference between the two graphs at X = -3
1 answer:
You might be interested in
Answer: The perimeter is 96 m
Step-by-step explanation:
If we tag the length of the rectangle as and the width as
, and if in addition we are told
,the dimensions of the rectangle are as shown in the figure.
Now, the area of a rectangle is given by:
Since :
Isolating :
On the other hand, the perimeter of a triangle is given by the addition of each of its sides. Then, if the rectangle has two sides that measure and two sides that measure
, the perimeter is:
Substituting the value of in the last equation:
Finally the perimeter is:
Answer:
Value of 26.93 will be exceeded 85% of the time.
Step-by-step explanation:
We are given that a random variable is normally distributed with a mean of 25 and a standard deviation of 5.
Let X = a random variable
So, X ~ N()
The z score probability distribution is given by;
Z = ~ N(0,1)
where, = population mean
= standard deviation
Now, we have to find that value which will be exceeded 85% of the time, i.e.;
P(X > ) = 0.85
1 - P(X ) = 0.85
P(X ) = 0.15
P(
) = 0.15
P(Z ) = 0.15
Now, in the z table the critical value of whose less than area is 0.15 is given as 0.3853, i.e;
= 0.3853
= 25 + 1.9265 = 26.93
Therefore, value of 26.93 will be exceeded 85% of the time.