Answer:
A= 4
B= 4
C= -1
D= 4
E= -1
F= 4
G= -1
Step-by-step explanation:
The expected value equation is the probability of something happening multiplied by the amount of times it happens. In this case you have four equal sized sections, so you have a one in four chance to land in any of these sections. A, B, D, and F represent the four for this one in four chance. C, E, and G represent the amount of points you get when you land on those sections, in this case -1
Answer:
8
Step-by-step explanation:
dog=3x
cat=x
3x+x=32
4x=32
4/4
32/4
x=8
3(8)=24
x=8
So she trained 24 dogs and 8 cats
Answer:
a. 9.5x + 6.5(x+c) < 8 when c>0
b. Must be one child more than the no. of adults.
Step-by-step explanation:
For Cinema 1:
for adult = $9.50
for child = $6.50
For Cinema 2:
Per person regardless of age = $8.00
First of all, we will find out the condition when per person rates in both cinema are equal.
Assume x = no. of adults
y = no. of children
Rate per person in Cinema I = Rate per person in Cinema II
(9.5x + 6.5y)/(x+y) = 8
9.5x + 6.5y = 8(x+y)
9.5x + 6.5y = 8x + 8y
9.5x-8x = 8y-6.5y
=> x = y
So rates are equal when no. of adults equals no. of children
For Cinema I to have better rates, no. of children should be atleast 1 more than the no. of adult. In this way the rate per person of Cinema I will be less than 8
Hence we form an inequality when y = x+c and c > 0
9.5x + 6.5(x+c) < 8 when c>0
Hence there must be 1 more children than the no. of adults attending Cinema I for it to be a better deal.
*Yes, B, C, and D are correct. -15, -10.5, and -7.5 are solutions to x<-7*...........................
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*8y – 24 > –16.............................................................................................................
8y>8 ADD 24 to both sides .......................................................................................
y>1 so C. divide both sides by 8.................................................................................
It is not A because the opposite of subtracting 24 is adding 24. So you add 24 to both sides to undo the subtraction. -16+24=8 Then you divide both sides by 8, which gives you y>1. I think you probably subtracted 24 from -16 instead of adding it.*.........................................
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*I'm not sure what to make of the third one, is that a number line or...?*...............................
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*- t/5 ≥15 ........................................................................................................................
-t ≥ 75 MULTIPLY both sides by 5....................................................................................
t ≤ -75 divide both sides by -1, and flip the sign, because when dividing an inequality by a negative number you must flip the sign..............................................................................
So A would be correct. ....................................................................................................
I believe if you divided the 15 by 5 and didn't flip the sign you would get D.*.........................
Also, sorry, my enter key isn't working right, so it's all scrunched together.
