The answer i got was 31.4.... if that’s wrong i’m so sorry.
Answer:
option (D) 16.5
Step-by-step explanation:
Data provided:
Sleep time of , X = 15.9 is at the 10th percentile
Standard deviation, σ = 0.5 hour
also,
10th percentile of normal distribution is
Z = F⁻¹(0.10)
or
Z = - 1.28 (Using Standard Normal distribution)
Now,

or
X = μ + ( σ × Z )
or
μ = X - ( σ × Z )
on substituting the respective values, we get
μ = 15.9 - 0.5 × (-1.28)
or
μ = 16.5
Hence, the correct answer is option (D) 16.5
Answer:
Step-by-step explanation:
First you have to do everything in the brackets, or [ ]. -7+-3--8 is equivalent to 8-3-7, which equals -2. After that you have to do the braces, or {}. That is -5--2, which is the same thing as 2-5, which equals -3. Finally, you can finish it out. -4--2--3 is equivalent to 3+2-4, which equals 1. Hope this helps!
Answer:
x = 12.8
Step-by-step explanation:
To find the value of x, set up a proportion between the two similar triangles. Then solve for x.

Solve by cross multiplying and isolating x.
32(56) = 40(32+x)
1792 = 1280 + 40x
512 = 40x
12.8 = x