Answer:
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Answer:
The Total number of Professors = 48
Step-by-step explanation:
Given as,
The total number of Faculty = 136
And the Ratio of Professors to Lecturers = 6 Ratio 11
Now According to question
Professors : Lecturers = 6 : 11
So, Let the Number of Professors = 6x
And The Number of Lecturers = 11x
∴ 6x + 11x = 136
Or, 17x = 136
Or, x =
= 8
Hence, the number of Professors = 6 × 8 = 48 Answer
Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Answer:
Step-by-step explanation:
Mr. Rives' rotating sprinkler waters his lawn up to a radius of 7 feet. The formula for determining the area of a circle is expressed as
Area = πr²
Where
π is a constant whose value is 3.14.
r represents the radius if the circle.
The area covered by one of Mr. Rives' rotating sprinkler would be
3.14 × 7² = 3.14 × 49 = 153.86ft²
Therefore, the maximum area of lawn that two sprinklers can cover would be
153.86 × 2 = 307.72 ft²
S+L=155
1.25S+2.50L=265
System of equations...
L=110
S=45