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3 years ago

Miles per Gallon (dent variable?

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

your answers are correct for dependent and independent variables

25 mph

Step-by-step explanation:

The independent variable is identified by the title on the horizontal axis.

The dependent variable is identified by the title on the vertical axis.

The F-150 is most fuel-efficient where its miles per gallon is highest. The peak of that curve appears to be at about 25 miles per hour.

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Which is a counterexample for the conditional statement shown? If three distinct points lie in a plane, then the points can form

lina2011 [118]

<h2>Answer:</h2>

We take the example of:

Three collinear points in a plane.

Then we may conclude that they will never form a triangle.

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is given by:

If p then q

where p is the hypothesis of the statement and q is the conclusion of the statement.

Counter example for a conditional statement--

A counter example is an example that makes the general statement is false.

i.e. a example which fulfills the condition of the hypothesis but does not satisfy the conclusion of the given statement.

Here the statement is:

If three distinct points lie in a plane, then the points can form a triangle.

i.e. Hypothesis is: Three distinct point lie in a plane.

and conclusion is: The points form a triangle.

So we take a example as:

Three collinear points lie in a plane but they will never form a triangle.

3 0

3 years ago

within a kiambu county,students were randomly assigned to one of two mathematics teachers.Mrs.Elite and Mrs. Bright. After the a

DerKrebs [107]

Using the t-distribution, as we have the standard deviation for the samples, it is found that since the absolute value of the test statistic is greater than the critical value, we reject the claim that Mrs.Elite and Mrs. Bright are equally effective teachers.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, we test if they are equally effective teachers, that is, the subtraction of their means is 0, hence:

$H_0: \mu_1 - \mu_2 = 0$

At the alternative hypothesis, we test if they are not equally effective teachers, that is, the subtraction of their means is not 0, hence:

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

<h3>What is the distribution of the differences?</h3>

For Mrs. Elite, we have that:

$\mu_1 = 78, \sigma_1 = 10, n_1 = 30, s_1 = \frac{10}{\sqrt{30}} = 1.82574$

For Mrs. Bright, we have that:

$\mu_2 = 85, \sigma_2 = 15, n_2 = 25, s_2 = \frac{15}{\sqrt{25}} = 3$

For the distribution of differences, we have that:

$\overline{x} = \mu_1 - \mu_2 = 78 - 85 = -7$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{1.82574^2 + 3^2} = 3.5119$

<h3>What is the test statistic?</h3>

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:

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

$t = \frac{-7 - 0}{3.5119}$

$t = -1.99$

Considering a<em> two-tailed test</em>, as we are testing if the mean is different of a value, with 30 + 25 - 2 = <em>53 df and a significance level of 0.1</em>, the critical value is of $|t^{\ast}| = 1.6741$ .

Since the absolute value of the test statistic is greater than the critical value, we reject the claim that Mrs.Elite and Mrs. Bright are equally effective teachers.

To learn more about the t-distribution, you can take a look at brainly.com/question/13873630

3 0

3 years ago

PLEASEE HELP I ONLY HAVE ONE CHANCE !! BRAINLIEST

Wewaii [24]

Answer:

cos and sec

Step-by-step explanation:

The ray is in the third quadrant.

Sine is neg, csc is neg, tan is pos and cot is pos. All those are incorrect

Cos and sec are neg which is correct.

7 0

3 years ago

If two lines are parallel, what is their solution? write your answer in a complete sentence

yawa3891 [41]

There is no solution if lines never touch there is no answer
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6 0

3 years ago

aliyah had some candy to give her four children. she first tooke ten pieces for herself and then evenly divided the rest among h

DIA [1.3K]

<span><span><span>Let the original number be "x".
(x-10)/4 = 2

x-10 = 8
x = 18 (original number of pieces of candy.)</span></span></span>

6 0

4 years ago