Answer:
179.159
Step-by-step explanation:
Given the sequence :
50, 60, 72,..
The sequence given is a geometric sequence :
For a geometric sequence ;
ar^(n - 1)
a = first term
r = a2 / a1 = 60 / 50 = 1.2
The 8th term ; n =8
a8 = ar^(n - 1)
a8 = 50*1.2^(8 - 1)
a8 = 50*1.2^7
a8 = 50*3.5831808
a8 = 179.15904
a8 = 179.159 (nearest thousandth )
P = 2(L + W)
P = 36
36 = 2(L + W)
36/2 = L + W
18 = L + W....L = 18 - W
A = L * W
A = 65
L = 18 - W
65 = W(18 - W)
65 = 18W - W^2
W^2 - 18W + 65 = 0
(W - 13)(W - 5) = 0
W - 13 = 0 .....L = 18 - 13
W = 13 L = 5
W - 5 = 0 L = 18 - 5
W = 5 L = 13
Not exactly sure which (length or width)...but one is 13 ft and the other is 5 ft
Answer:
William was 0.5 points away from a perfect score.
Step-by-step explanation:
If the teacher didn't subtract 5 points, he would have 24.5 + 5 = 29.5 points.
30 - 29.5 = 0.5
William was 0.5 points away from a perfect score.
Answer:
15.
x = 40/9 = 4 4/9
z = 24/5 = 4 4/5
17.
x = 50
y ≈ 11.5
Step-by-step explanation:
15. Corresponding segments are proportional:
top right side / whole right side = x / 8
5/(5+4) = x/8
x = 8(5/9) = 40/9
x = 4 4/9
__
right side bottom / right side top = z / 6
z = 6(4/5) = 24/5
z = 4 4/5
____
17. The acute angles are complementary:
x = 90 -40 = 50
__
From the Pythagorean theorem:
y = √(15² -9.6²) = √132.84
y ≈ 11.5
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005