Answer:
a.7(6xy-2z)
=7*6xy-7*2z
=42xy-14z
b.5(2w+3)-6(w+2)
=5*2w+5*3-6*w-6*2
=10w+15-6w-12
=4w+3
c.2f(2f+g-3)
=2f*2f+2f*g-2f*3
=4f^2+2fg-6f
Step-by-step explanation:
Answer:
If she uses the Laplace criterion, the number of new examiners she will decide to hire is:
c. three
Step-by-step explanation:
a) Data:
Number of Compliance
examiners Low Normal High
One 50 50 50
Two 100 60 20
Three 150 70 -10
b) Outcome Calculations:
Number of Compliance
examiners Low Normal High
One 16.65 (50 *.333) 16.65 (50 *.333) 16.65 (50 *.333) = 50
Two 33.3 (100 *.333) 19.98 (60 *.333) 6.66 (20 *.333) = 60
Three 49.95 (150 *.333) 23.31 (70 *.333) -3.33 (-10 *.333) = 70
c) Decision:
Three has the highest payoff condition and is selected.
d) The Laplace criterion assumes that each compliance state is equally likely to happen. Therefore, it assigns the same weight to each state of compliance. Since there are three states of compliance, we shall assign each state a weight of 0.333. The number of examiners that have the highest payoff condition is three, and therefore, the number "three" is selected.
The number of practice hours per week for Maranda's piano recital is 13 hours
Overall practice hours = 52 hours
Number of weeks of practice = 4 weeks
Since, the number of practice hours per week is the same ;
Number of hours practiced each week can be obtained by dividing the overall practice hours by the number of weeks of practice.
Number of practice hours per week = Overall practice hours ÷ Number of weeks of practice
Number of practice hours = (52 ÷ 4) = 13 hours
Therefore, Marana practiced for 13 hours each week.
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Answer: 56.52
Step-by-step explanation:
So first, we multiply out the brackets.
-15x - 18 + 2 = 17 + 16x -1
Then, bring all the terms onto one side so you can solve.
-15x-18+2-17-16x+1=0
Then, we simplify this.
-31x-32=0
Then, isolate x
-31x=32
x=32/-31 or -1.03 (nearest hundredth )