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3 years ago

I need to sketch a graph for each line. y = 4x-5 How would I solve and graph this

1 answer:

4 0

So you need to find the slope and the y- intercept. So, the slope is always the coefficient on the x. In this case it is 4. The y-intercept is the other number. In this case it is -5. So the slope is 4 and the y-intercept is -5. On your graph (the y axis) find -5. Then you go up 4 and to the right 1 because of four were a fraction it would be 4/1. Keep going up four and right one a couple times. Then reverse it. Go down 4 left 1. That as a fraction would look like -4/-1. Then connect your points and make it a line!

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An auto company claims that the fuel efficiency of its sedan has been substantially improved. A consumer advocate organization w

zzz [600]

Answer:

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

$df=n-1=12-1=11$

$p_v =P(t_{(11)}>2.021) =0.0342$

If we compare the the p value with the significance level provided $\alpha=0.1$ , we see that $p_v < \alpha$ , so then we can reject the null hypothesis. and there is a significant increase in the miles per gallon from 2017 to 2019 at 10% of significance.

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.

Let put some notation :

x=test value 2017 , y = test value 2019

x: 28.7 32.1 29.6 30.5 31.9 30.9 32.3 33.1 29.6 30.8 31.1 31.6

y: 31.1 32.4 31.3 33.5 31.7 32.0 31.8 29.9 31.0 32.8 32.7 33.8

Solution to the problem

The system of hypothesis for this case are:

Null hypothesis: $\mu_y- \mu_x \leq 0$

Alternative hypothesis: $\mu_y -\mu_x >0$

Because if we have an improvement we expect that the values for 2019 would be higher compared with the values for 2017

The first step is calculate the difference $d_i=y_i-x_i$ and we obtain this:

d: 2.4, 0.3, 1.7,3,-0.2, 1.1, -0.5, -3.2, 1.4, 2, 1.6, 2.2

The second step is calculate the mean difference

$\bar d= \frac{\sum_{i=1}^n d_i}{n}= \frac{11.8}{12}=0.983$

The third step would be calculate the standard deviation for the differences, and we got:

$s_d =\frac{\sum_{i=1}^n (d_i -\bar d)^2}{n-1} =1.685$

We assume that the true difference follows a normal distribution. The 4th step is calculate the statistic given by :

$t=\frac{\bar d -0}{\frac{s_d}{\sqrt{n}}}=\frac{0.983 -0}{\frac{1.685}{\sqrt{12}}}=2.021$

The next step is calculate the degrees of freedom given by:

$df=n-1=12-1=11$

Now we can calculate the p value, since we have a right tailed test the p value is given by:

$p_v =P(t_{(11)}>2.021) =0.0342$

4 0

3 years ago

Someone please give me the simplified answer !

Nataly [62]

Answer:

11m-3v

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What's an integer for 300ft above sea level

jeyben [28]

Above is postive. So the answer is +300

3 0

3 years ago

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Help mee!! I will give a branlist answer!!

Nutka1998 [239]

Ok so here u go
Simplifying 6(2x + -11) + 15 = 21 Reorder the terms: 6(-11 + 2x) + 15 = 21 (-11 * 6 + 2x * 6) + 15 = 21 (-66 + 12x) + 15 = 21 Reorder the terms: -66 + 15 + 12x = 21 Combine like terms: -66 + 15 = -51 -51 + 12x = 21 Solving -51 + 12x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 12x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 21 + 51 12x = 21 + 51 Combine like terms: 21 + 51 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6

4 0

3 years ago

How do i do parallel lines and transversals

Natasha_Volkova [10]

A transversal is a line that intersects two or more other lines. When it intersects parallel lines, many angles are congruent. Parallel lines are two lines that are always the same distance apart and never touch.

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3 years ago