Let f(x) = 3x - 5 and g(x) = x +10 Find f(g(x))
1 answer:
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Answer:
The pyramid's surface area is 78 square centimeters
Step-by-step explanation:
The formula of the surface area of a pyramid is S.A = A + p s, where
- A is the area of its base
- p is the perimeter of its base
- s is the slant height of it
∵ The area of the base of a triangular pyramid is 28 cm²
∴ A = 28 cm²
∵ The perimeter of the base is 20 cm
∴ p = 20 cm
∵ The he slant height is 5 cm
∴ s = 5 cm
- Substitute these values in the formula of the surface area
above to find it
∵ S.A = 28 + (20)(5)
∴ S.A = 28 + 50
∴ S.A = 78 cm²
The pyramid's surface area is 78 square centimeters
Answer:
(a) The p-value is 0.9554
(b) We cannot reject the null hypothesis at the significance level of 0.06
Step-by-step explanation:
We are dealing with a lower-tail alternative . Because the test statistic is z = +1.7 which comes from a normal distribution, the p-value is the probability of getting a value as extreme as the already observed.
(a) P(Z < +1.7) = 0.9554
(b) The p-value is very large, and 0.9554 > 0.06, so, we cannot reject the null hypothesis at the significance level of 0.06