Answer:
(a) the median grade lies between 76 and 84
(b) the Median grade is greater than the mean grade.
(d) the median grade is a B
Step-by-step explanation:
consider the histogram carefully and answer.
Answer:
y = -2x -3
Step-by-step explanation:
The line crosses the y-axis at -3, so that is the y-intercept.
It has a "rise" of -2 units for each "run" of 1 unit, so the slope is -2. (For example, from point (-1, -1) to point (0, -3).)
The slope m and y-intercept b are used in the slope-intercept form of the equation of a line:
y = mx + b
For the values this line has, the equation is ...
y = -2x -3
Answer:
A zero function is a function that is almost everywhere zero.
Step-by-step explanation:
A quotient of 3 with 28 as a remainder means that 43 fits inside our number 3 times, and you have 28 more units as a remainder.
So, our number is
![3\times 43 + 28 = 129+28=157](https://tex.z-dn.net/?f=3%5Ctimes%2043%20%2B%2028%20%3D%20129%2B28%3D157)
To write another division problem that has a quotient of 3 and a remainder of 28, we simply choose another number to substitute 43 in the expression above. For example, if we choose 100, the expression becomes
![3\times 100 + 28 = 300+28=328](https://tex.z-dn.net/?f=3%5Ctimes%20100%20%2B%2028%20%3D%20300%2B28%3D328)
Which means that 328 has quotient of 3 with 28 as a remainder when divided by 100.
Answer:
The volume is 2140.98 inches³
Step-by-step explanation
The basketballs are spherical, and it is known that the volume of a sphere is
![V = \frac{4}{3}\pi r^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E%7B3%7D)
Where V is the volume of the ball and r is its radius
They tell us that the ball measures 8.8 inches wide. This means that its diameter is 8.8 inches.
It is known that the radius of a sphere is equal to half its diameter.
Therefore, the radius r of the ball is:
![r = \frac{8.8}{2}](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7B8.8%7D%7B2%7D)
r = 4.4 inches.
Then, they tell us to consider that the walls of the ball are infinitely thin, which means that we should not take into account their thickness in the calculation of the volume.
We already have all the data we need, now we proceed to calculate the volume.
![V = \frac{4}{3}\pi(4.4)^{3}\\V = 356.83 inches^{3}](https://tex.z-dn.net/?f=V%20%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%284.4%29%5E%7B3%7D%5C%5CV%20%3D%20356.83%20inches%5E%7B3%7D)
Where V is the volume of only one of the balls
The volume of the six balls is V = 6 * 356.83 = 2140.98 inches³
Finally the volume is 2140.98 inches³