Package A = $276 for 12 tickets (2 x 6) // 276 divided by 12 = $23 per ticket
Package B = $336 for 16 tickets (2 x 8) // 336 divided by 16 = $21 per ticket
$23 - $21 = $2
Package A charges $2 more per ticket.
Question options :
a. They should be between 64 and 76 inches tall.
b. They should be close to the height that is 95% of the mean. That is, 66.5 inches, plus or minus 2 standard deviations.
c. They should be at or below the 95th percentile, which is 74.92 inches.
d. None of the above.
Answer: a. They should be between 64 and 76 inches tall.
Step-by-step explanation:
Given the following :
Assume men's height follow a normal curve ; and :
Mean height = 70 inches
Standard deviation= 3 inches
According to the empirical rule ;
Assuming a normal distribution with x being random variables ;
About 68% of x-values lie between -1 to 1 standard deviation of the mean. With about 95% of the x values lying between - 2 and +2 standard deviation of mean. With 99.7% falling between - 3 to 3 standard deviations from the mean.
Using the empirical rule :
95% will fall between + or - 2 standard deviation of the mean.
Lower limit = - 2(3) = - 6
Upper limit = 2(3) = 6
(-6+mean) and (+6+ mean)
(-6 + 70) and (6+70)
64 and 76
Answer:
0.508
Step-by-step explanation:
If a< c< b then a<c and c<b
Separate the equation into 2 separate ones and solve them:
X-9 < 4x +3
Subtract 3 from both sides:
X-12 < 4x
Subtract x from both sides:
-12< 3x
Divide both sides by 3:
X > -4
4x+3 < 27
Subtract 3 from both sides
4x < 24
Divide both sides by 4
X <6
Combine to get one inequality:
-4<x<6
Here are the unit rates involved:
$7.68 / 1 case = $7.68 per case
$7.68 / 24 cans = $0.32 per can
1 case / $7.68 = 0.13 case per $
24 cans / $7.68 = 3.125 cans per $
And of course ...
24 cans / 1 case = 24 cans per case
1 case / 24 cans = 0.041666... case per can
