Answer:
The 99% confidence intervals are
(98.4346 , 98.7654)
C) This suggests that the mean body temperature could very possibly be 98.6degrees°F.
<u>Step-by-step explanation:</u>
Given data a data set includes 106 body temperatures of healthy adult humans having a mean of 98.7degreesF and a standard deviation of 0.66degreesF
sample size n = 106
Mean of the population ' μ' = 98.7degreesF
standard deviation of population 'σ' = 0.66degreesF
Mean of the sample x⁻ = 98.6degreesF
Level of significance ∝ = 0.99 0r 0.01
<u>Confidence limits :-</u>
The values 
are called 99% of confidence limits
For the mean of the Population corresponding to the given sample.
on calculation, we get
(98.6 - 0.1654,98.6 + 0.1654)
The 99% confidence intervals are
(98.4346 , 98.7654)
C)<u> This suggests that the mean body temperature could very possibly be 98.6degrees°F</u>.
Answer:
target speed for the marathon has been achieved and exceeded
Step-by-step explanation:
Given that :
Target speed = 25 mph
Current speed = 15 miles in 1/2 an hour
Current speed :
15 miles in 0.5 hours
X miles in 1 hour
0.5x = 15 miles
X = 15 / 0.5
X = 30 miles per hour
Hence, current speed in miles per hour = 30mph
This means that her target speed for the marathon has been achieved and exceeded
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
Answer:
A. 3 meters
Step-by-step explanation:
A right circular cylinder with a height of 3 meters has a volume of 16 cubic meters.
