Answer: (97.084, 99.116)
Step-by-step explanation:
As per given , we have
sample size :n= 106
degree of freedom: df = 105 (df=n-1)
Significance interval :
Since , population standard deviation is unknown , so we use t-test .
Using t-value table ,
Now , 80% Confidence interval will be :
Thus , The 80% confidence interval estimate of the standard deviation of body temperature of all healthy humans = (97.084, 99.116).
Answer:
The width of the base = the volume ÷ (length × height)
w = V/lh
Step-by-step explanation:
* Lets take about how to re-arrange any formula
- The formula of the volume of the rectangular prism is:
V = lwh, where l is the length of the base , w is the width of the
base and h is the height of the prism
- To find the formula of the width from the formula of the volume,
we must isolate the width in one side and all other dimensions in
other side
∵ V = lwh ⇒ divide both sides by l and h
∵ V/(lh) = (lwh)/(lh) ⇒ cancel lh up with lh down
∴ V/(lh) = w
∴ w = V/(lh)
∴ w = V ÷ (lh)
* The width of the base = the volume ÷ (length × height)
Answer:
36
Step-by-step explanation:
Work out the terms inside the parenthesis from x = 2 to x = 5. Hint: there will be 4 terms.
x = 2 ---> 0
x = 3 ---> 1
x = 4 ---> 2
x = 5 ---> 3
The sigma symbol means that you have to add them all up so the sum is 6. Therefore,
(6)^2 = 36
Answer:
[15, ∞).
Step-by-step explanation:
–3(6 – 2x) ≥ 4x + 12
-18 + 6x ≥ 4x + 12
6x - 4x ≥ 12 + 18
2x ≥ 30
x ≥ 15
This means that the minimum of x is 15, and the most is infinity, which is the same thing as [15, ∞).
Hope this helps!
Answer: Yes it is possible to construct a triangle and it will be an isosceles triangle.
Step-by-step explanation:
The triangle inequality says that for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining side.
The given sides of the triangle is 4 inches, 4 inches, and 7 inches.
Here,
So by triangle inequality, a triangle with sides 4 inches, 4 inches, and 7 inches. is possible.
Since it has two equal sides as 4 inches , then it must be an isosceles triangle.