Answer:
-2
Step-by-step explanation:
Since they are parallel, they have the same slope. This will be true for any set of lines.
Answer: The volume is 33 cubic centimeters.
Step-by-step explanation:
First find the volume of the square pyramid on top of the cube. To find the volume of the square pyramid you use the volume a^2*h/3 a is the side length of the base of the square pyramid and h is the height all divide by 3.
So we can say that the side length of the base of the square pyramid is 3 because it has the same side length base as the cube.
V= 3^2 * 2 /3
V= 9 * 2 /3
V= 18/3
v= 6
So the volume of the square pyramid is 6 so now we need to find the volume of the cube and add them together.
Volume of the a cube uses the formula s^3 where s is the side length.
V= 3^3
v= 3*3*3
v= 27
The volume of the cube is 27.
Add 6 and 27 to find the total volume.
6 +27 = 33
I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.
Answer:
a: 0.8884
b: 0.9934
Step-by-step explanation:
We have µ = 300 and σ = 70. The sample size, n = 125.
For the sample to be within 8 units of the population mean, we would have sample values of 292 and 308, so we want to find:
P(292 < x < 308).
We need to find the z-scores that correspond to these values using the given data. See attached photo 1 for the calculation of these scores.
We have P(292 < x < 308) = 0.8884
Next we want the probability of the sample mean to be within 17 units of the population mean, so we want the values from 283 to 317. We want to find
P(283 < x < 317)
We need to find the z-scores that correspond to these values. See photo 2 for the calculation of these scores.
We have P(283 < x < 317) = 0.9934
