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7.
lateral surface area of traingular prism=perimeter of traingle ×length=[5+3+4]×6=72cm²
curved surface area=2[area oftraingle]=2×1/2×4×3
=12cm²
now
total surface area=72cm²+12cm²=84cm²
8.
volume of traingular prism=area of traingle ×length
=1/2×12×3.4×4=81.6in³
Answer:
These are the steps to do it since there is no equations provided
Step-by-step explanation:
1.) First, replace f(x) with y . ...
2.) Replace every x with a y and replace every y with an x .
3.)Solve the equation from Step 2 for y . ...
4.) Replace y with f−1(x) f − 1 ( x ) .
<em>Hope this helps :)</em>
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 12
For the alternative hypothesis,
µ < 12
Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 12 minutes
x = 8 minutes
σ = 12 minutes
n = 36
z = (8 - 12)/(12/√36) = - 4/2 = - 2
Test statistic = - 2