Answer:
1.3125
Step-by-step explanation:
Given that our random variable
follows a Poisson distribution
Evaluate the formula at 

#since

The mean and variance of the Poisson distributed random variable is equal to
:

#By property variance:

The expectation is 1.3125
Answer:
600<2570-125.5x<2000 subtract 2570 from all terms...
-970<-125.5x<-570 divide all terms by -125.5 (and reverse signs because of division by a negative!)
7.73>x>4.54 and x is months since January, and since months can only be integers...
x=[5,7]
So January + 5, 6, and 7 respectively are the three months that satisfy the equation...
June, July, and August.
Step-by-step explanation:
Answer:
Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.
Step-by-step explanation:
Using the Pythagorean Theorem, (
) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.
Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:



Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.


Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.
The interval that f(x) is increasing is the distance from 200 to 300.
The minimum value of f(x) in the interval 0<x<300 is 200.
At a value of 500, the value of f(x) is 0.
The function can't be a quadratic function since there are two points in the graph where f(x) changes its rate from increasing to decreasing or the opposite. A quadratic function has only one of that point.
The approximate side length of a square game board with an
area of 184 in^2 is 14 inches
<h3>Area of a square</h3>
The formula for calculating the area of a square is expressed as;
A = l^2
where
l is the side length of a square
Given the following parameters
A = 184 square inches
Substitute
184 l^2
l = √184
l = 13.56
Hence the approximate side length of a square game board with an
area of 184 in^2 is 14 inches
Learn more on area of a square here: brainly.com/question/25092270
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