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3 years ago

I need ur help w this question I’ll mark u as brainliest

Mathematics

1 answer:

Darya [45]3 years ago

6 0

Answer:

C) g(x) = 3^(x - 4) + 2

Step-by-step explanation:

Notice that function f(x) contains point (0, 1).

In function g(x), point (0, 1) of f(x) has been translated to point (4, 3).

A translation from point (0, 1) to point (4, 3) is a translation of 4 units in x and 2 units in y.

For function y = f(x) in general, if you replace x with x - h and y with y - k, that means a horizontal translation of h units and a vertical translation of k units.

From here we see we have h = 4 and k = 2.

x in f(x) must be replaced with x - 4.

y in f(x) must be replaced with y - 2.

y = f(x)

y - 2 = f(x - 4)

y = f(x - 4) + 2

f(x) = 3^x

g(x) = 3^(x - 4) + 2

Answer: C) 3^(x - 4) + 2

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Answer:

a) Null hypothesis: $\mu \geq 14$

Alternative hypothesis: $\mu < 14$

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Step-by-step explanation:

Data given

$\bar X=12$ represent the sample mean

$\sigma=10$ represent the population standard deviation

$n=50$ sample size

$\mu_o =14$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

Part a: System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 14 minute, the system of hypothesis would be:

Null hypothesis: $\mu \geq 14$

Alternative hypothesis: $\mu < 14$

The statistic is given by:

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Part b: P-value

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$df=n-1=50-1=49$

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$p_v =P(t_{(49)}$

Part c

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Step-by-step explanation:

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