Answer:
6g-90h+6320gh-720h²-4480g²
Answer:
a) X ~
b) μ = 100/3
c)
d) A battery is expected to last 100/3 months (33 months and 10 days approximately).
e) For seven batteries, i would expect them to last 700/3 months (approximately 19 years, 5 months and 10 days).
Step-by-step explanation:
a) The life of a battery is usually modeled with an exponential distribution X ~
b) The mean of X is μ = 1/0.03 = 100/3
c) The standard deviation is
d) The expected value of the bateery life is equal to its mean, hence it is 100/3 months.
e) The expected value of 7 (independent) batteries is the sum of the expected values of each one, hence it is 7*100/3 = 700/3 months.
Answer:
Width = 5 inches
Length = 9 inches
Step-by-step explanation:
The paper;
Length = (x + 4) inches
Width = x inches
The area is close as possible to 50 square inches.
Since this paper is rectangular in shape; the area of a rectangle is given by:
Area = Length × Width
∴ (x + 4) * x = 50 square inches
x² + 4x = 50
Let the area be equal to 45 square inches;
Applying the quadratic formula, x = 5 or -9
But since we are dealing with length measurements, the value of x = 5 inches.
So the width = 5 inches and;
length = 5 + 4 = 9 inches.
Answer:
QR = 82.38 to nearest hundredth.
Step-by-step explanation:
As they are similar corresponding sides are in the same ratio.
So MN / QR = LM / QR
13/51 = 21/ QR
`3QR = 51*21
QR = 51*21/13
QR = 82.38
Answer:The Answer is 30
Step-by-step explanation: