Answer:
The confidence interval for this case would be (216.589, 223.411)
Step-by-step explanation:
Information given
represent the sample mean
population mean
s=12 represent the sample standard deviation
n=50 represent the sample size
Confidence interval
The confidence interval for the mean is given by the following formula:
(1)
The degrees of freedom are given by:
The Confidence level is 0.95 or 95%, the significance is 
and 
, the critical value for this case is 
And replacing we got:
The confidence interval for this case would be (216.589, 223.411)
Answer:
The length is 48
The width is 20
Step-by-step explanation:
When 2 rectangles (figures) are similar, the ratio of corresponding sides are equal.
This rectangle is 5 by 12, so the shorter side (corresponding to 5) to the longer side (corresponding to 12) would be the same ratio, 5:12.
Let shorter side be s, and
longer side be l
It says, long side is 8 greater than twice short, we can write this as:
In similar rectangles, we have said the corresponding sides' ratio are equal, so we could write:
Now, we replace the new found expression for "l" onto this and cross multiply and solve for s first:
So the shorter side is 20. and hence the longer side would be:
l = 2s + 8
l = 2(20) + 8
l = 40 + 8
l = 48
The longer side is 48.
The length is 48
The width is 20
Answer:
Option B. MN/MO
Step-by-step explanation:
In a right angle triangle cosine of any acute angle = Base/ Hypotenuse
In the ∠ NMO Hypotenuse is MO and base of the triangle is MN.
Therefore cos (M) = Base / Hypotenuse = MN / MO
Therefore option B is the right answer.
943.00 times .10= 94.30
943-94.30
B is the answer.
Answer:
-3<x
Step-by-step explanation:
10 < 3x + 19
10 - 19 < 3x
-9 < 3x
-9/3 < x
-3 < x
