Step-by-step explanation:
the first one is the correct one
a, = -51+12(n-1)
a(2) = -51+12(2-1)=-39
I hope this helps
Im sure from the answer
but I couldnt explain it exactly
18 groups of 12. 18 times 12. That equals 216. 216 can round to 200, 215, or 220.
*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.
Slope intercept: y = mx + b
Y = 9x + b, plug in point
9 = 9(0) + b, b = 9
Solution: y = 9x + 9
Answer:
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds
Step-by-step explanation:
Z score
The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
where μ is the mean, x = raw score and σ is the standard deviation.
Given μ = 180, σ = 8.
For x = 185:
z = (185 - 180)/8 = 0.625
For x = 190:
z = (190 - 180)/8 = 1.25
P(185 < x < 190) = P(0.625 < z < 1.25) = P(z < 1.25) - P(z < 0.625) = 0.8944 - 0.7324 = 16.2%
There is 16.2% probability that a randomly selected individual will be between 185 and 190 pounds
