Answer: 0.60
Step-by-step explanation:
Given: Mean : 
Standard deviation : 
The formula to calculate z is given by :-
For x= 20 minutes
The P Value =
Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60
Answer:
4 degrees.
Step-by-step explanation:
A complete circle has 360 degrees.
(4/360) of a circle = (4/360) * 360 degrees = 4 degrees
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
Answer:
3 dollars and 9 cents.
Step-by-step explanation:
From the question given above, the following data were obtained:
Total amount = 20 dollars
Amount for gift A = 9 7/10 dollars
Amount for gift B = 6 2/5 dollars
Amount for gift C =?
The amount of money she has left for gift C can be obtained as follow:
A + B + C = 20
9 7/10 + 6 2/5 + C = 20
Change to improper fraction
97/10 + 32/5 + C = 20
(97 + 64)/10 + C = 20
161/10 + C = 20
Collect like terms
C = 20 – 161/10
C = (200 – 161)/10
C = 39/10
Change to mixed fraction
C = 3 9/10 dollars
C = 3.9
C = 3 dollars and 9 cents
Therefore, Kathy had 3 dollars and 9 cent for gift C
