Answer:
E.
Step-by-step explanation:
so first you would add 8 to both sides to get
3w = t + 8
then divide both sides by 3
w = (t + 8) / 3
So the answer is E.
Answer:
The total distance covered is 15.6 miles.
Step-by-step explanation:
One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:
a ⇒ b
c ⇒ x
Then 
First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

seconds= 900
So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

distance= 3.6 miles
If you then ride hard for 12 miles, the total distance traveled will be the sum of both:
3.6 miles + 12 miles = 15.6 miles
<u><em>The total distance covered is 15.6 miles.</em></u>
Answer:
The first graph best represent the given scenario.
Step-by-step explanation:
Given that Kent walked to the bus stop, then sat and waited until the bus arrived. He rode the bus for 25 minutes, then walked the last 3 blocks to work. we have to find which graph best represent the scenario.
In the first graph, it is given The line increases for 10 minutes means the distance as well as time increases i.e Kent walked for 10 minutes then, stays horizontal for 15 minutes means no distance covered i.e stop or wait for 15 minutes. After that graph increases rapidly for another 25 minutes, that means rode the bus for 25 minutes then increases slowly for 5 minutes indicate walked to work.
The above graph best represent the scenario.
All three option is analysed by graphing which doesn't show the above given scenario.
Answer: (141.1, 156.48)
Step-by-step explanation:
Given sample statistics : 


a) We know that the best point estimate of the population mean is the sample mean.
Therefore, the best point estimate of the mean weight of all women = 
b) The confidence interval for the population mean is given by :-
, where E is the margin of error.
Formula for Margin of error :-

Given : Significance level : 
Critical value : 
Margin of error : 
Now, the 90% confidence interval for the population mean will be :-

Hence, the 90% confidence interval estimate of the mean weight of all women= (141.1, 156.48)
Answer:
DC = 2
Step-by-step explanation:
The wrong equation was used.
The right equation to use based on the midsegment theorem of a trapezoid is:
MN = ½(AB + DC)
MN = 8
AB = 14
Substitute
8 = ½(14 + DC)
Multiply both sides by 2
8*2 = ½(14 + DC)*2
2*8 = 14 + DC
16 = 14 + DC
16 - 14 = 14 + DC - 14
2 = DC
DC = 2