The surface area of rectangular prism is 346 square meters.
Given the figure is rectangular prism.
We know that the surface area of rectangular prism with length L, width W and height H is = 2(LW+WH+LH)
Given that the length of prism = 5 m
Width of prism = 17 m
Height of prism = 4 m
So the total surface area of the rectangular prism is given by,
= 2 [5*17 + 17*4 + 4*5]
= 2 [85 + 68 + 20]
= 2*173
= 346 square meters
Hence the surface area of rectangular prism is 346 square meters.
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The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent.
The triangles also share one common side, CA. Since, this side is between the angles the postulate that will prove the congruence of the triangles is ASA.
The answer to this item is the third choice.
Answer:
90minutes
Step-by-step explanation:
Let the time taken for passengers to be checked-in be t
Let the number of staff working be w;.
If the time taken for passengers to be checked-in for a flight is inversely proportional to the number of staff working then;
t = kw
when t = 30, w = 5
30 = 5k
k = 30/5
k = 6
to get t when w = 15
t = kw
t = 6(15)
t = 90minutes
Hence it will take 90minutes long
Given Information:
Number of lithium batteries = n = 16
Mean life of lithium batteries = μ = 645 hours
Standard deviation of lithium batteries = σ = 31 hours
Confidence level = 95%
Required Information:
Confidence Interval = ?
Answer:
Step-by-step explanation:
The confidence interval is given by
Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of
tα/2 = (1 - 0.95) = 0.05/2 = 0.025
and the degree of freedom is
DoF = n - 1 = 16 - 1 = 15
The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)
Therefore, the 95% confidence interval is 628.5 to 661.5 hours
What does it mean?
It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)
