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2 years ago

Please help me Graph Y=f(x)

Mathematics

1 answer:

Jobisdone [24]2 years ago

8 0

Step-by-step explanation:

f(0) = 0 , f(2) = -4 , f(4) = -2

0 = f(2x) → f(0) = f(2x) → x = 0 (0,0)

-4 = f(2x) → f(2) = f(2x) → x = 1 (1,-4)

-2 = f(2x) → f(4) = f(2x) → x = 2 (2,-2)

shape of the graph remain without change in vertical axis , but it is compressed in the horizontal direction.

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Which is true about the domain and range of each function? Both the domain and range change. Both the range and domain stay the

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Answer:

The range stays the same, but the domain changes

Step-by-step explanation:

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3 years ago

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A theory predicts that the mean age of stars within a particular type of star cluster is 3.3 billion years, with a standard devi

Luden [163]

Answer:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

Step-by-step explanation:

Data given and notation

$\bar X=3.4$ represent the sample mean

$\sigma=0.4$ represent the population deviation for the sample

$n=50$ sample size

$\mu_o =3.3$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses to be tested

We need to conduct a hypothesis in order to determine if the mean is higher than 3.3, the system of hypothesis would be:

Null hypothesis: $\mu \leq 3.3$

Alternative hypothesis: $\mu > 3.3$

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

We can replace in formula (1) the info given like this:

$z=\frac{3.4-3.3}{\frac{0.4}{\sqrt{50}}}=1.768$

P value

Since is a one right tailed test the p value would be:

$p_v =P(z>1.768)=0.039$

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3 years ago

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3 years ago

Which equation represents a proportional relationship?

asambeis [7]

Given:

Four equations in the options.

To find:

The equation which represents a proportional relationship.

Solution:

If y is proportional to x, then

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$y=kx$

where, k is the constant of proportionality.

In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.

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2 years ago

if each side of a square classroom is 25 feet then what is the perimeter of the room? what is the area of the floor of the room?

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Answer:

P = 100

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Step-by-step explanation:

Area = s^2

sqrt(area) = sqrt(s^2)

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s = 25

Area = 25^2

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3 years ago

Please help me Graph Y=f(x) ​

Please help me Graph Y=f(x)