Answer:
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Step-by-step explanation:
Given that, the rate R(t) at which cars enter the highway is given the formula
The average rate of car enter the highway during first half hour of rush hour is the average value of R(t) from t=0 to t=30.
![=[100(t-0.0001\frac{t^3}{3})]_0^{30}](https://tex.z-dn.net/?f=%3D%5B100%28t-0.0001%5Cfrac%7Bt%5E3%7D%7B3%7D%29%5D_0%5E%7B30%7D)
![=100[(30-0.0001\frac{30^3}{3})-(0-0.0001\frac{0^3}{3})]](https://tex.z-dn.net/?f=%3D100%5B%2830-0.0001%5Cfrac%7B30%5E3%7D%7B3%7D%29-%280-0.0001%5Cfrac%7B0%5E3%7D%7B3%7D%29%5D)
=2901
The average rate of car is 
=97
On average, cars enter the highway during the first half hour of rush hour at a rate 97 per minute.
Answer:
264
Step-by-step explanation:
Volume = Area of cross section x height
Area of cross section = 1/2 bh
1/2 (8x6) = 24
24 x 11 = 264 yd^3
Complete Question
Express the confidence interval 0.555 less than p less than 0.777 in the form Modifying above p with caret plus or minus Upper E.
Answer:
The modified representation is 
Step-by-step explanation:
From the question we are told that
The confidence interval interval is 
Now looking at the values that make up the up confidence interval we see that this is a symmetric confidence interval(This because the interval covers 95% of the area under the normal curve which mean that the probability of a value falling outside the interval is 0.05 which is divided into two , the first half on the left -tail and the second half on the right tail as shown on the figure in the first uploaded image(reference - Yale University ) ) which means
Now since the confidence interval is symmetric , we can obtain the sample proportion as follows
Generally the margin of error is mathematically represented as
Where K is the length of the confidence interval which iis mathematically represented as
Hence
So the confidence interval can now be represented as
The delivery route took 4 hours and 15 minutes.
Because 9:50 + 4 hours is 1:50
1:50 + 15 minutes is 2:05
Hope this helps! Have a great rest of your day :)
Answer:
Congruent
Step-by-step explanation:
by definition, the base angles of an isosceles triangle are the same value.
i.e they are congruent.
