Answer:
a. (b) 2.5
b. (b) 1.89
Step-by-step explanation:
E(X) =0(0.05)+1(0.25)+2(0.35)+3(0.15)+4(0.15)+5(0.15)= 2.5
Answer:
See below in bold.
Step-by-step explanation:
Use the point-slope form of a straight line
y - y1 = m(x - x1)
Here m = -5/9 , x1 = 9 and y1 = -3:, so
y - -3 = -5/9(x - 9)
y + 3 = -5/9x + 5
y = -5/9x + 2 is the equation parallel to the given line.
The line perpendicular to the given line will have a slope of - 1 / -5/9
= 9/5 so its equation is
y + 3 = 9/5(x - 9)
y = 9/5x - 81/5 - 3
y = 9/5x - 96/5 .
Answer:
They took 4,180 minutes total to complete the course.
Step-by-step explanation:
The average time is given by the sum of each individual time of the members divided by the number of members on the group. So if we want to know the total time they took to complete the course we need to take the average and multiply it by the number of people in the group. So we have:
total time = average*number of members = 110*38 = 4180 minutes
They took 4,180 minutes total to complete the course.
72 is the length d of how deep end in feet}
Answer:
x = 8√2 units
Step-by-step explanation:
On a 45-45-90 triangle,<em> the ratio between one of the legs </em>(both are congruent)<em> and the hypotenuse is 1 : √2</em> (Improper but it still sends the message). That means the hypotenuse is √2 times as long as a leg.
x = 8 × √2
x = 8√2 units
