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3 years ago

Helpppp Plzzzz ASAPppppppppp

Mathematics

1 answer:

Nataly [62]3 years ago

6 0

Non linear:

y = 6 -x^2

y = 2x^2 + 2

y = x^3

Rate of change is also the slope

= (72 - 69) / (51 - 48)

= 3/3

= 1

Rate of change = 1

First you need to find slope

(3,0) and (5,2)

Slope = (2 - 0)/(5-3) =2/2 = 1

Equation

y - 0 = 1(x - 3)

y = x - 3

Answer:

Tyler's function is correct as y = x - 3, it matched the above.

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Step-by-step explanation: 312/36= 8.6...

The answer depends on if you want to round up or down.

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3 years ago

An automobile manufacturer who wishes to advertise that one of its models achieves 30 mpg (miles per gallon) decides to carry ou

Katyanochek1 [597]

Answer:

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

$p_v =P(t_{(5)}$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

Step-by-step explanation:

Data given and notation

The mean and sample deviation can be calculated from the following formulas:

$\bar X =\frac{\sum_{i=1}^n x_i}{n}$

$s=\sqrt{\frac{\sum_{i=1}^n (x_i -\bar X)}{n-1}}$

$\bar X=29.35$ represent the sample mean

$s=1.365$ represent the sample standard deviation

$n=6$ sample size

$\mu_o =30$ represent the value that we want to test

$\alpha=0.05$ 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.

We need to conduct a hypothesis in order to check if the true mean is lower than 30 or no, the system of hypothesis are :

Null hypothesis: $\mu \geq 30$

Alternative hypothesis: $\mu < 30$

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-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".

Calculate the statistic

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

$t=\frac{29.35-30}{\frac{1.365}{\sqrt{6}}}=-1.17$

P-value

We need to calculate the degrees of freedom first given by:

$df=n-1=6-1=5$

Since is a one-side left tailed test the p value would given by:

$p_v =P(t_{(5)}$

Conclusion

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

We can say that at 5% of significance the true mean is not significantly less than 30 so then the claim that true average fuel efficiency is (at least) 30 mpg makes sense

5 0

3 years ago

You can know that 236 is a composite number because it is divisible by _____. A. 2 B. 3 C. 7 D. 6

kaheart [24]

A. 2

<h2>Explanation:</h2>

A composite number can be formed if you multiply two smaller positive integers. So the result is also a positive integer. Let's test each option:

Option A.

$\frac{236}{2}=118 \\ \\ \\ So: \\ \\ 236=2\times 118$