The given case is an example of permutation problem because the order is important given that you should like the first two songs. The sample space is calculated through the equation,
15P2 = 210
Then, there are 3 songs that you liked, the probability of picking 2 out of them is,
3P2 = 6
Dividing the latter by the earlier result will give us an answer of 1/35.
Answer:
The volume of candy that is needed by Polly is 1,437.3 cubic inches
Step-by-step explanation:
What we have to do here is to find the volume of the sphere with a diameter of 14 inches
If the diameter is 14 inches, then the radius is 14/2 = 7 inches
This is because the radius is half the measure of the diameter
To find the volume of the sphere, we use the formula below;
Volume of sphere
= 4/3 * pi * r^3
pi = 22/7
r = 7 inches
Volume is;
4/3 * 22/7 * 7^3
= 4/3 * 22 * 7^2 = 1437.3 cubic inches
Answer:
547 m
Step-by-step explanation:
Given :
Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°
The height, h = 270
The distance of park bench from the building, d is given by :
Tan θ = opposite / Adjacent
Tan 63.7167 = d / 270
d = 270 * Tan 63.7167
d = 546.70459
d, distance of Park bench from building is 547 m
The equation that represents the total number of stamps malik collected is x + y = 212. The equation that represents the difference in the number of foreign and domestic stamps malik collected is: x - y = 34. This is the system of two equations. Malik has a total of 212 stamps: x + y = 212. He has 34 more domestic stamps (x) than foreign stamps (y): x = y + 34. If we rearrange it, we have x - y = 34. So, this is the system of two equations: x + y = 212 and x - y = 34.<span>
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