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3 years ago

HELP ASAP. Find the inverse of g(x)=1/3x-7 and find its domain and range

1 answer:

7 0

Find the inverse function of f.
f(x)=(1+3x)/(5-2x)
Interchange x and y to get:
x=(1+3y)/(5-2y)
Solve for y as follows:
5x-2xy=1+3y

3y+2xy=5x-1
y(3+2x)=5x-1
y=(5x-1)/(2x+3)

this is the inverse function

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A group of researchers are interested in the possible effects of distracting stimuli during eating, such as an increase or decre

Dmitry [639]

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

$H_1: \mu_1 - \mu_2 \neq 0$

Two groups of 22 patients, hence, the standard errors are:

$s_1 = \frac{45.1}{\sqrt{22}} = 9.6154$

$s_2 = \frac{26.4}{\sqrt{22}} = 5.6285$

The distribution of the differences is has:

$\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14$

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{s}$

In which $\mu = 0$ is the value tested at the null hypothesis.

Hence:

$t = \frac{25 - 0}{11.14}$

$t = 2.2438$

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Using a t-distribution calculator, this p-value is of 0.0302.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at brainly.com/question/25600813

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2 years ago

If wheel A rotates with constant angular velocity

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Answer:

Step-by-step explanation:

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Gloria decides to buy 4 ferns, 2 Palms, 10 Lilies and 8 shrubs. To show the total

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Answer:

$Total Plants = 4F + 2P + 10L+ 8S$

$Total Plants = 2(2F + P + 5L+ 4S)$ --- Distributive property

Step-by-step explanation:

Given

Ferns = 4

Palms = 2

Lillies = 10

Shrubs = 8

Required

Show the total cost of plants as an expression

Shorten it using the distributive property

First, represent Ferns with F; Palms with P; Lilies with L and Shrubs with S;

So, 4 Ferns = 4F

2 Palms = 2P

10 Lilies = 10L

8 Shrubs = 8S

Total Plants = Summation of the above parameters

$Total Plants = 4F + 2P + 10L+ 8S$

The above expression represents the total plants bought;

Now, to apply the distributive property; we simply look for a common factor;

In this case, the common factor is 2;

So, $Total Plants = 4F + 2P + 10L+ 8S$ becomes

$Total Plants = 2(\frac{4F}{2} + \frac{2P}{2} + \frac{10L}{2}+ \frac{8S}{2})$

$Total Plants = 2(2F + P + 5L+ 4S)$

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Simplify the following root to the nearest whole number

boyakko [2]

Answer:

use a calculator

Step-by-step explanation:

because it's the smarter way

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In parallelogram ABCD below, AD = BC = 9, AB = CD = 5. If line BE = 12 and line DE = 4, what is the area of

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Answer:

Step-by-step explanation:

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