-1 < c + 2 < 3....subtract 2 from all sections
-1 - 2 < c + 2 - 2 < 3 - 2...simplify
-3 < c < 1
==============================
32 > 16 - 4g > 12....subtract 16 from all sections
32 - 16 > 16 - 16 - 4g > 12 - 16....simplify
16 > -4g > -4 ...now divide all sections by -4, and change inequality signs
16/-4 < (-4/-4)g < -4/-4...simplify
-4 < g < 1
============================
6y + 1 > = 10
6y > = 10 - 1
6y > = 9
y > = 9/6 which reduces to 3/2 or 1 1/2
-3/2y > = 9 ....multiply both sides by -2/3, cancelling the -3/2 on the left...and change the inequality sign
y < = 9 * -2/3
y < = -18/3 which reduces to - 6
so y > = 9/6(or 1 1/2) or y < = -6
These are two independent events so the probability of both events is just the product of the probability of each event. We have:
Pr ( first spin is on red ) = 8 / 10 = 4 / 5 and
Pr ( second spin is on the rest of the sections ) = 2 / 10 1 / 5 Thus we have
Pr ( first spin is on red and second spin is on the rest of the spinner = ( 4 / 5 ) x ( 1 / 5 ) = 4 / 25
Answer:
x = 2
Step-by-step explanation:
Answer: 0.9608
Step-by-step explanation:
Given : A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that
Mean :
Standard deviation :
Sample size :
Let be the sample mean.
The formula for z-score in a normal distribution :
For
The P-value =
Hence, the probability that their mean rebuild time is less than 8.9 hours is 0.9608 .
Answer:
$47.96
Step-by-step explanation:
Step one - Convert 20% to the fraction 1/5
Step two - Multiply 59.95/5 (equivalent to 59.95*1/5 just easier to write down) to get 11.99
Step three - 11.99*4 because we want to find out what 80% of the cost is (which would be 20% or 1/5 in this case *4)
Answer - $47.96
Hoped this helped
A faster way would be multiplying 59.95 by 4/5 instead as it gives the same result with less steps.