Answer:
Van = 18
Bus = 58
Step-by-step explanation:
Let v be the number of students carried by each van.
Let b be the number of students carried by each bus.
We know the following:
Solve the second equation for b:
Replace b with (76 – v) in the first equation:
Therefore, each van can carry 18 students. Each bus, then, can carry 76 – v = 76 – 18 = 58.
To verify:
High School A had 16 vans and 8 buses equaling (16 × 18) + (8 × 58) = 288 + 464 = 752. That is correct.
High School B had 5 vans and 5 buses equaling (5 × 18) + (5 × 58) = 90 + 290 = 380. That is correct.
Answer:
<u>Given</u>
<u>Distribute:</u>
- -2(7) - 2(6g) =
- -14 - 12g
It should be D but it is missing g at the end, must be typo
Answer:
50%
Step-by-step explanation:
There are 8 tiles on the spinner, 4 of which are red.
4/8 = 1/2 - 50%
There is a 50% chance that the spinner will land on red.
Answer:
The center (2,6) and the radius is 8
Step-by-step explanation:
The equation of a circle is (x-h)^2 + (y-k)^2 =r^2
where (h,k) is the center of the circle and r is the radius
We have
(x-2)^2 + (y-6)^2 =64
(x-2)^2 + (y-6)^2 =8^2
The center (2,6) and the radius is 8
121 is big enough to assume normality and not worry about the t distribution. By the 68-95-99.7 rule a 95% confidence interval includes plus or minus two standard deviations. So 95% of the cars will be in the mph range
The question is a bit vague, but it seems we're being asked for the 95% confidence interval on the average of 121 cars. The 121 is a hint of course.
The standard deviation of the average is in general the standard deviation of the individual samples divided by the square root of n:
So repeating our experiment of taking the average 121 cars over and over, we expect 95% of the averages to be in the mph range
That's probably the answer they're looking for.