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3 years ago

Find the solutions of (x² − 9)(x² − 16) =0.

Mathematics

1 answer:

MrMuchimi3 years ago

3 0

Answer:

-3,3 or -4,4

Step-by-step explanation:

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It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 120 feet. A transportat

Mrrafil [7]

Answer:

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

Part 2

Calculate the statistic

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

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

Step-by-step explanation:

Data given and notation

$\bar X=114$ represent the sample mean

$\sigma=22$ represent the population standard deviation

$n=36$ sample size

$\mu_o =120$ 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)

Part 1

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 120 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 120$

Alternative hypothesis: $\mu \neq 120$

If we analyze the size for the sample is > 30 and we know the population deviation so 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".

Part 2

Calculate the statistic

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

$z=\frac{114-120}{\frac{22}{\sqrt{36}}}=-1.636$

P-value

Since is a two sided test the p value would be:

$p_v =2*P(z$

8 0

3 years ago

A natural number greater than 1 that has only itself and 1 as factors is called alan

lina2011 [118]

I think the answer should be divisible because you can’t really divide 1 without getting the same # your dividing by.

8 0

3 years ago

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Please help me<3<br> i will give brainliest to the right answer

marysya [2.9K]

Answer:

26.5

Step-by-step explanation:

Because the sales is $530 and the commission rate is 5%, the commission would be 5% of the sales, which would be $26.5

3 0

3 years ago

If you reduce a twelve times a number by 40, you get the same number as if you increase its seven times by 25. What number is th

Digiron [165]

Step-by-step explanation:

Take the number as x

12x-40=7x+25

collect like terms

12x-7x=25+40

5x=65(divide both sides by 5)

x=13

Therefore number is 13

6 0

3 years ago

Construct a polynomial function with the following properties: fifth degree, 5 is a zero of multiplicity 4, −4 is the only other

mario62 [17]

5(x-5)^4(x+4)
you raise x-5 to the 4th power because 5 has a multiplicity of 4

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3 years ago

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