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ValentinkaMS [17]

3 years ago

14

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

1 answer:

pickupchik [31]3 years ago

8 0

Answer:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

Step-by-step explanation:

For the functions h and g, which statement is true if h(x) = x and g(x) = (x + 14)?

(F) The graph of g is the result of the graph of h being translated right 14 units.

(G) The graph of g is the result of the graph of h being translated left 14 units.

(H) The graph of g is steeper than the graph of h.

(J) The graph of g is less steep than the graph of h.

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Guest ages at a ski mountain resort typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5

ValentinkaMS [17]

Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.$

, where $\overline{x}$ = Sample mean

z* = Critical value.

$\sigma$ = Population standard deviation.

n= Sample size.

As per given , we have

$\overline{x}=36.4$

$\sigma=14.5$

n= 40

We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

$36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)$

∴ a 99 percent confidence interval for µ, the true mean age of guests = (30.49 years, 42.31 years)

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