Sonia ran 6 miles more than twice as far as Brian if the total number of milesso you ran 6 miles more than twice as far as Brian
1 answer:
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we are given
now, we can factor out right side term
now, we can plug back
and we get
so,
.............Answer
Answer:
P = 0.006
Step-by-step explanation:
Given
n = 25 Lamps
each with mean lifetime of 50 hours and standard deviation (SD) of 4 hours
Find probability that the lamp will be burning at end of 1300 hours period.
As we are not given that exact lamp, it means we have to find the probability where any of the lamp burning at the end of 1300 hours, So we have
Suppose i represents lamps
P (∑i from 1 to 25 ( > 1300)) = 1300
= P(>
) where
represents mean time of a single lamp
= P (Z> ) Z is the standard normal distribution which can be found by using the formula
Z = Mean Time () - Life time of each Lamp (50 hours)/ (SD/
)
Z = (52-50)/(4/) = 2.5
Now, P(Z>2.5) = 0.006 using the standard normal distribution table
Probability that a lamp will be burning at the end of 1300 hours period is 0.006
Answer:
The equation of the line that passes through the points (0, 3) and (5, -3) is .
Step-by-step explanation:
From Analytical Geometry we must remember that a line can be formed after knowing two distinct points on Cartesian plane. The equation of the line is described below:
(Eq. 1)
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that and
, the following system of linear equations is constructed:
(Eq. 2)
(Eq. 3)
The solution of the system is: ,
. Hence, we get that equation of the line that passes through the points (0, 3) and (5, -3) is
.