For us to determine the number of points that is needed in order to surpass or succeed the hardest setting of the game level 5, we use first the function g(x) to determine the total points required for the lower level.
g(x) = 8(2)(x) + 1
We substitute the x of the function with 5 since we are in level 5.
g(5) = 8(2)(5) + 1 = 81
Then, to determine the points for the hardest setting, we multiply the points by 3 as given in function h(x).
h(x) = 3(81) = 243
Hence, to succeed the hardest setting of level 5, one needs a total of 243 points.
Answer: The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Step-by-step explanation:
Let x and y area the random variable that represents the heights of women and men.
Given : The heights of women aged 20 to 29 are approximately Normal with mean 64 inches and standard deviation 2.7 inches.
i.e.

Since , 
Then, z-score corresponds to a woman 6 feet tall (i.e. x=72 inches).
[∵ 1 foot = 12 inches , 6 feet = 6(12)=72 inches]

Men the same age have mean height 69.3 inches with standard deviation 2.8 inches.
i.e.

Then, z-score corresponds to a man 5'10" tall (i.e. y =70 inches).
[∵ 1 foot = 12 inches , 5 feet 10 inches= 5(12)+10=70 inches]

∴ The z-scores for a woman 6 feet tall is 2.96 and the z-scores for a a man 5'10" tall is 0.25.
Answer:
$62.9 and $98.4
Step-by-step explanation:
Let the cost of tennis shoe be x
Since a jacket cost $35.50 more than a pair of tennis shoe,
Then cost of jacket would be
= $35.50 + x
Total cost of both items would be;
x + $35.50 + x = $161.30
2x = $161.30 - $35.50
2x = $125.8
x = $62.9
Therefore, cost of pair of tennis shoe is $62.9
Jacket cost would now be
= $35.5 + x
= $35.5 + $62.9
= $98.4
Answer:
answer : C
Step-by-step explanation:
Answer:
3 sips equal a gulp
Step-by-step explanation:
we have
----> equation A
Divide by 2 both sides
----> equation B
equate equation A and equation B
Group terms that contain the same variable
therefore
3 sips equal a gulp