Answer:
B) 
Step-by-step explanation:
That is a triangular prism and thus, it has two bases that are triangles, in this case, right triangles, whose hypotenuse is 5 in. long and one of its legs is 4 in. and the other one, 3 in.
The first step is to find the area of both bases like this:

The second step is to get the lateral area, which is compound of three rectangles, hence the process is the following:

Finally, we sum both of the areas found to calculate the total area.

So, the answer is option B).
So then what is the question?
Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴ 
∵ DE : CD = 5 : 3
∴ 
∴ KD = 5/3 KC
∵ KE = KC + 8
∵ 
∴ 
∴ 
∴ 
∴ 
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17
Answer: a) critical value = 0.0853, b) we reject the null hypothesis.
Step-by-step explanation:
Since we have given that
z = -1.37
And the hypothesis are given below:

Since α = 0.01
since critical value = 0.0853
As we can see that 0.853 < 0.25.
so, we reject the null hypothesis.
Hence, a) critical value = 0.0853, b) we reject the null hypothesis.