Answer:
Step-by-step explanation:
The diagram for the question is attached below
perimeter of the triangle is 28 feet
area of a square is 144 feet
Area of the square is side^2
take square root on both sides
side = 12
side of the square = 12
side is the diameter of the semicircle
Diameter = 12 , so radius = 12 divide 2 = 6
circumference of semicircle = 
one side of the rectangle is calculated in the perimeter of triangle and other side is calculated using circumference
perimeter of other two side = 2(12)= 24
Total perimeter = 
If X is a random variable representing the number of children that end up having light-colored eyes, then X follows a binomial distribution with success probability p = 0.25 and number of trials n = 5.
The variance of a binomial distribution with these parameters is n p (1 - p), so the variance in this case would be
5 • 0.25 • (1 - 0.25) = 0.9375 ≈ 0.9
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.
We know the formula , Distance = speed * time
Speed is constant and it is 12. So it is linear
The function becomes d = 12t, x is the t is the time and d is the distance
At the starting point, t=0 and distance d=0
End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9
So domain (t) is {
}
Range (d) is {
}
Answer:
21.333 miles per gallon
Step-by-step explanation:
Answer:
the slope of the line in the graph is: 3
the y-intercept is: -4
the equation of the line is: y=3x-4
Step-by-step explanation:
If we find a point on the graph and count it until it reaches other solid point we get that you have to go up three and to the right by one. This solid point I looked at was (0,-4) and counted up to (-1,1). To find the slope, we have to simply count and use "rise over run". The rise is 3 for every 1 we run, making the slope 3/1 which is 3.
the y-intercept is the point on the graph that touches the y-axis on the graph. The only point on the graph that touches the y-axis is -4, making the y-intercept -4.
The equation for a graph is y=mx+b. m would be the slope and b would be the y-intercept. We know that the slope is 3 (m) and that the y-intercept is -4 (b). Putting them together, we get that the equation of the graph is y=3x-4.
