Answer:
8 = f (13-2)
8=13f-2f
8=11f
8 / 11 = 11f / 11
8/11=f
f=8/11
Step-by-step explanation:
26.8% of examinees will score between 600 and 700.
This question is based on z score concept.
A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values. Z-score is measured in terms of standard deviations from the mean. If a Z-score is 0, it indicates that the data point's score is identical to the mean score.
where:
μ is the mean
σ is the standard deviation of the population
Given:
μ = 560
σ = 90
For
600≤ X≤700
for x = 700
Z score =x - μ/σ
=(700 - 560)/90
= 1.55556
P-value from Z-Table:
P(560<x<700) = P(x<700) - 0.5 = 0.44009
for x = 600
Z score =x - μ/σ
=(600 - 560)/90
= 0.44444
P-value from Z-Table:
P(560<x<600) = P(x<600) - 0.5 = 0.17164
∴ P(600<x<700) = P(560<x<700) - P(560<x<600)
= 0.44009 - 0.17164
=0.26845
∴26.8% percentage of examinees will score between 600 and 700.
Learn more about Z score here :
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Answer: The cost of one rose bush is $7 and the cost of one shrub is also $7
Step-by-step explanation:
The situtation can be represented by the systems of the equations.
10x + 4y = 98 x in this case is the cost of one rose bushes
9x + 9y = 126 y is the cost of one shrub.
Solve the system of equation using the elimination method.
10x +4y = 98
9x + 9y = 126 eliminate the y variable so you will have to multiply 9 on top and -4 down.
9(10x +4) = (98)(9)
-4(9x + 9y) = 126(-4)
You will now have the new two systems of equations
90x +36y = 882
-36x +-36y = -504 Now add the equations
0 + 54x = 378
54x = 378
x= 7
Now we know that the cost of one rose bush is 7 so we will plot it into one of the equations and solve for the cost of one shrub.
90(7) +36y=882
630 +36y = 882
-630 -630
36y = 252
y = 7
Check: 10(7) + 4(7)= 98
70 + 28 = 98
98= 98
so one rose bush is actually 7 dollars the same as 1 shrub.
If it is geometric then
if the terms are a,b,c,d then
b/a=c/b=d/c
so
-54/-81=-36/-54=-24/-36?
2/3=2/3=2/3
and that is the common ratio
it is geomertic and common ratio is 2/3
