it takes Zack 15 minutes to walk 7 1\2 blocks to the swimming pool. at this rate, how many blocks can he walk in one minute?
1 answer:
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Answer:
The required expression is
Step-by-step explanation:
Consider the provided information.
National Textile installed a new textile machine in one of its factories at a cost of $250,000.
That means for 0 year the cost of the machine is $250,000.
This can be written as: (0, 250,000)
Over 10 years with a scrap value of $10,000
That means for 10 year the cost of the machine is $10,000.
This can be written as: (10, 10,000)
Now first find the rate of change:
Rate of change=m=
Rate of change=m=
Rate of change=m=
Now use the point-slope form of an equation of a line with the point (0, 250,000), we can find the required expression.
Hence, the required expression is
Answer and Step-by-step explanation: For an exponential distribution, the probability distribution function is:
f(x) = λ.
and the cumulative distribution function, which describes the probability distribution of a random variable X, is:
F(x) = 1 -
(a) <u>Probability</u> of distance at most <u>100m</u>, with λ = 0.0143:
F(100) = 1 -
F(100) = 0.76
<u>Probability</u> of distance at most <u>200</u>:
F(200) = 1 -
F(200) = 0.94
<u>Probability</u> of distance between <u>100 and 200</u>:
F(100≤X≤200) = F(200) - F(100)
F(100≤X≤200) = 0.94 - 0.76
F(100≤X≤200) = 0.18
(b) The mean, E(X), of a probability distribution is calculated by:
E(X) =
E(X) =
E(X) = 69.93
The standard deviation is the square root of variance,V(X), which is calculated by:
σ =
σ =
σ = 69.93
<u>Distance exceeds the mean distance by more than 2σ</u>:
P(X > 69.93+2.69.93) = P(X > 209.79)
P(X > 209.79) = 1 - P(X≤209.79)
P(X > 209.79) = 1 - F(209.79)
P(X > 209.79) = 1 - (1 - )
P(X > 209.79) = 0.0503
(c) Median is a point that divides the value in half. For a probability distribution:
P(X≤m) = 0.5
= 0.5
= 0.5
=
= 0.5
= - 0.5
ln() = ln(0.5)
-0.0143.m = - 0.0693
m = 48.46