Answer:
Step-by-step explanation:
If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,
2x = 210 and x = 105.
The total sum = 210 + 3(105) + 5(105) so
Total sum = 210 + 315 + 525
Total sum = 1050 and
C's share is 525 and
B's share is 315
54 degrees is the measure of its compliment since complentary angles add up to 90 degrees.
To get her output per hour, you will have to divide her output by the time she took to produce it (in hour)
So per hour she would produce:
9/2 ÷ 1/6 = 9/2 x 6 = 27
The answer is 27 widgets per hour
Answer:
Step-by-step explanation:
Given that X is uniform in the interval (0,A)
X is continuous since it represents the distance
A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire
Distance can be taken as absolute values here as either side is the same.
E(|x-a|] is to be minimum
E(|x-a|)=E(x-a) for 0<x<a
=E(a-x), for a<x<A
Using integral we find this value
Using calculus we find that f" is positive so when f' =0 we get solution
f'(a) =0 gives
Hence fire station to be located at the mid point of 0 and A
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Summing the 3 angles and equating to 180 gives
2x + 3 + 4x + 2 + 2x - 1 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
∠A = 2x + 3 = (2 × 22) + 3 = 44 + 3 = 47°
∠B = 4x + 2 = (4 × 22) + 2 = 88 + 2 = 90°
∠C = 2x - 1 = (2 × 22) - 1 = 44 - 1 = 43°
