Step-by-step explanation:
that is odd not even
- odd
- because last one is odd
Answer:
1.967 × 10⁻¹¹
Step-by-step explanation:
This is a conditional probability problem
Probability that a 12 year old leaf blower works for 5 more years = Probabilty that a leaf blower works for 17 years, given that it has worked for 12 years = P(17|12)
P(17|12) = P(17 n 12)/P(12)
P(17 n 12) = P(17)
Exponential random variable is given as
f(x) = λ e^(-λ.x)
λ = rate parameter = 5 years per blower
x = variable whose probability is required = 17
f(17) = 17 e^(-5×17)
f(17) = 17 e⁻⁸⁵ = 2.067 × 10⁻³⁶
f(12) = 12 e^(-5×12)
f(12) = 12 e⁻⁶⁰ = 1.051 × 10⁻²⁵
P(17|12) = (2.067 × 10⁻³⁶)/(1.051 × 10⁻²⁵)
P(17|12) = 1.967 × 10⁻¹¹
Here,
Perimeter (P)=86 feet
Length (l)=25 feet
Let, width(b)= x feet
Then,
Perimeter= 2(l+b)
86=2(25+x)
43=25+x
x=18
Hence, required width is 18 feet...
Answer:
- |t -(-5)| = 1.5
- [-6.5, -3.5] = [minimum, maximum]
Step-by-step explanation:
The magnitude of the difference between the temperature (t) and -5 will be 1.5 at the limits:
|t -(-5)| = 1.5
This is equivalent to two equations:
In each case, the equation is solved by subtracting 5 from both sides:
- t = -6.5 . . . . minimum allowed temperature
- t = -3.5 . . . . maximum allowed temperature
Answer:
C
Step-by-step explanation:
If we were to draw a horizontal line from the bottom of the ladder to the bottom of the tree and then draw a vertical line from the bottom of the tree to the top of the ladder, we'd get a right triangle with legs as the distance between the bottom of the tree and the bottom of the ladder and the height of the ladder, and the hypotenuse is the length.
Here, we know the hypotenuse is 10 feet and that the bottom of the ladder is 4 feet away from the bottom of the tree, so use the Pythagorean Theorem to find the height:
h = 
≈ 9.2 feet
The answer is C.
