Answer:
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Step-by-step explanation:
Using Poisson distribution where
t= number of units of time
x= number of occurrences in t units of time
λ= average number of occurrences per unit of time
P(x;λt) = e raise to power (-λt) multiplied by λtˣ divided by x!
here λt = 25
x= 30
P(x= 30) = 25³⁰e⁻²⁵/ 30!
P (x= 30) = 8.67 E41 * 1.3887 E-11/30! (where E= exponent)
P (x=30) = 1.204 E31/30!
Solving it with a statistical calculator would give
P (x=30) = 0.0454
The probability that the next failure will not occur before 30 months have elapsed is 0.0454
Part A.
7.8 is a rational number between 7.7 and 7.9.
It is rational because it can be written as a fraction of integers, such as 78/10.
Part B.
sqrt(60) = 7.75
sqrt(60) cannot be written as a fraction of integers. It is a decimal number that never ends and never repeats.
Given:
6kg 650g
1/2 kg
1/2 kg is equal to 500 grams
1 kg = 1000 grams
We need to convert these figures from kg to g.
6 kg * 1000g/kg = 6*1000g = 6,000 g
6,000 g + 650 g = 6,650 g
6,650 g ÷ 500 g = 13.3 round off to 13
13 * 500 g = 6,500
6 kg 650 g is nearest to 6,500 g.
Answer: 109.5 km/ hr
Step-by-step explanation:
Distance = 73 km
Time = 40 minutes = 40/60 = 2/3 hours
Speed = Distance / time
= 73 / 2/3
= 73 x 3/2 = 219 / 2 = 109.5 km/hr
<span>Height of the skyscraper to the nearest hundredth foot
= 5280 Tan(2)
= </span>184.38