Answer:
The probability 
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is 
Generally the standard deviation is mathematically represented as
=> 
=> 
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
Generally 
So
From the z-table 
So
Answer:
(A)(12, 9)
Step-by-step explanation:
Given:
The beginning of the left edge of the stencil falls at (2, −1).
A point, say Q on the stencil is at (4, 1).
Point Q divides the stencil into the ratio 1:4.
We are required to find the end of the stencil.
Mathematically, Point Q divides the stencil internally in the ratio 1:4.
For internal division of a line with beginning point 
and end point 
in the ratio m:n, we use the formula
, 
, Q(x,y)=(4,1), m:n=1:4
Therefore:
The correct option is A.
Answer:
b=2
Step-by-step explanation:
we have
9x+12y=21 -----> equation A
6x+8y=7b ----> equation B
we know that
If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B
Multiply equation B by 1.5 both sides
1.5*[6x+8y[=7b*1.5
9x+12y=10.5b ----> equation C
Compare equation A and equation C
9x+12y=21 -----> equation A
9x+12y=10.5b ----> equation C
For the equations to be equal it must be fulfilled that
21=10.5b
solve for b
b=21/10.5
b=2
Answer:
Family will save 3600 gallons of water by replacing the shower-heads.
Step-by-step explanation:
Number of family members in a family = 5
Each member of the family averages shower per day = 8 minutes
Total time for shower = 5×8 = 40 minutes
With a 5 gallon shower-heads each member will use water in a day = 5×40 = 200 gallons
Water consumption in 30 days = 200×30 = 6000 gallons per month
After replacing the shower-heads with 2 gallons per minute shower-heads family will use the amount of water = 40×2= 80 gallons per day
Water used in one month = 80×30 = 2400 gallons
Now water save by the family in 30-day period = 6000 - 2400 = 3600 gallons
Therefore, family will use 3600 gallons less water by replacing the water saving water heads.
<em><u>3 x 12 </u></em>
<em><u>I think because you find out how to graph in the corresponding area on the graph </u></em>
