Answer:
mean=14, variance=9.1
Step-by-step explanation:
for binomial distribution
n=number of outcomes
p=probability of succcess
q=probability of faliure
p+q=1
any probability given is always 'p'
mean=np
n=40
p=0.35
mean=40*0.35
mean=14
variance=npq
p+q=1
q=1-p
q=1-0.35
q=0.65
variance=40*0.35*0.65
variance=9.1
Answer:
The answer to your question is 81
Answer:
Volume of the pyramid is 448 cubic meters.
Step-by-step explanation:
Volume of the given pyramid =
Area of the rectangular base = Length × Width
= 12 × 16
= 192 m²
Volume of the pyramid =
= 448 m³
Therefore, the volume is 448 cubic meters.
Answer:
17. y=1/2x+5
18. y=-2x+15
19. y=2x-7
Step-by-step explanation:
Number 17.
(4,7); parallel to y=1/2x-1
You know that lines that are parallel to each other have the same slope, so the slope is 1/2x.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= 1/2
x= 4
y= 7
y-7= 1/2(x-4)
y-7= 1/2x-2
y=1/2x+5
Number 18.
(4,7); perpendicular to y=1/2x-1
You know that lines that are perpendicular to each other have the opposite reciprocal slope, so the slope is -2.
1. Use the point-slope formula to solve for the slope-intercept equation.
y-y1=m(x-x1)
m= -2
x= 4
y= 7
y-7=-2(x-4)
y-7=-2x+8
y=-2x+15
Number 19.
f(3)=-1
f(4)=1
To write a linear equation, first find the slope with the slope formula.
x1= 3
y1= -1
x2= 4
y2=1
(y2-y1)/(x2-x1)
(1-(-1))/(4-3)
2/1
m=2
Use the point-slope formula and solve for the slope-intercept equation.
y-y1=m(x-x1)
y-1=2(x-4)
y-1=2x-8
y=2x-7