Answer:
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Step-by-step explanation:
- Direct proportion means that two quantities increase or decrease in the same ratio
- If y is directly proportional to x (y ∝ x) , then
<em>OR</em> y = k x, where k is the constant of proportionality
∵ The stopping distance d of an automobile is directly
proportional to the square of its speed s
- That means d ∝ s²
∴ 
∵ A car requires 75 feet to stop from a speed of 30 miles per hour
∴ d = 75 feet
∴ s = 30 miles/hour
- Change the mile to feet
∵ 1 mile = 5280 feet
∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour
∵ The car require to stop from a speed of 48 miles per hour
on the same road
- Change the mile to feet
∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour
∵ 
- Substitute the values of
by 75 feet,
by 158400 feet/hour
and
by 253440 feet/hour
∴ 
∴ 
- By using cross multiplication
∴ 25 ×
= 75 × 64
- Divide both sides by 25
∴
= 192 feet
The car requires 192 feet to stop from a speed of 48 miles per hour on the same road
Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have
,
,
and
,
,
. The pooled
estimate is given by

The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,

where
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
W= 79 brooooooooooooooooooo
Yes I worked it in my brain hahahahahah
9514 1404 393
Answer:
x = -9
Step-by-step explanation:
Segment NL is twice the length of midsegment WV.
2WV = NL
2(x+15) = x+21
2x +30 = x +21 . . . . simplify
x = -9 . . . . . . . . . . . . add -30-x
_____
<em>Additional comment</em>
This value of x means the other segments are ...
MN = 12
WV = 6
NL = 12