Answer:
Volume of a cup
The shape of the cup is a cylinder. The volume of a cylinder is:
\text{Volume of a cylinder}=\pi \times (radius)^2\times heightVolume of a cylinder=π×(radius)
2
×height
The diameter fo the cup is half the diameter: 2in/2 = 1in.
Substitute radius = 1 in, and height = 4 in in the formula for the volume of a cylinder:
\text{Volume of the cup}=\pi \times (1in)^2\times 4in\approx 12.57in^3Volume of the cup=π×(1in)
2
×4in≈12.57in
3
2. Volume of the sink:
The volume of the sink is 1072in³ (note the units is in³ and not in).
3. Divide the volume of the sink by the volume of the cup.
This gives the number of cups that contain a volume equal to the volume of the sink:
\dfrac{1072in^3}{12.57in^3}=85.3cups\approx 85cups
12.57in
3
Step-by-step explanation:
Roots of the equation 3x² -3x-6=0 are -1 and 2,
all choices are given wrong
3*2²-3*2-6=0
12-6-6=0
0=0, which is true , so root is 2
3*20²-3*20-6=0
600-60-6=0
534=0 which is wrong, so root is 2, but not 20
Answer:
Step-by-step explanation:
This question will be solved using the combination formula which is nCr because the order is unimportant and we need the selection.
11C6
11!/(11-6)!*6!
= 462
Therefore the manager can select the restaurant in 462 ways.
Answer:
L = 2W, and LW = 5000. Therefore 2W^2 = 5000, so W^2 = 2500. This means W=50 and L=100.
Step-by-step explanation:
Notice that:

Now, we use the formula for the z-score:

Then the percentage of the calls that lasted less than 10 min is 15.87%