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2 years ago

PLEASE ANSWER CORRECTLY and show your work! I will give brainliest!

Mathematics

1 answer:

Alenkinab [10]2 years ago

3 0

Answer: The new co-ordinates of A ( 2 ,-6)

Step-by-step explanation:

Type of transformation change to co-ordinate point

Vertical translation up 'd' units (x,y)→(x , y+d)

Vertical translation down 'd' units (x,y)→(x , y-d)

Horizontal translation right 'c' units (x,y)→(x+c , y)

Horizontal translation left 'c' units (x,y)→(x-c , y)

Reflection over x-axis (x,y) →(x , -y)

Reflection over y-axis (x,y) →(-x , y)

Given the original vertex A ( -2 ,3)

a) First reflection over x-axis ( -2 ,3) →(-2 , -3)

b) Vertical translation down '3' units so it changes (-2 , -3)→(-2 , -3-3)

(-2,-3)→(-2 ,-6)

and

c) The Horizontal translation right '4' units

now it changes ( -2 ,-6) → (-2+4,-6)→(2 ,-6)

Final answer:-

The new co-ordinates of A ( 2 ,-6)

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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

Patrick paid $12 for<br> 25 pounds of candy.<br> How much did each<br> pound of candy cost?

tiny-mole [99]

$12/25 pounds

12/25= $0.48

$0.48/pound is your answer

7 0

2 years ago

Read 2 more answers

Need help!!<br> will give brainlist

prisoha [69]

White, 7/10= 14/20
It has the largest chance of being selected at random

5 0

3 years ago

The perimeter of the trapezoid-shaped window frame is 23.59 feet. Write and solve an equation to find the unknown side length x

krok68 [10]

Answer:

$5.62 + 3.65 + 5.62 + x = 23.59$

$x = 8.7 ft$

Step-by-step explanation:

Perimeter of the trapezoid-shaped window = sum of all the sides of the window frame

Thus, the equation to find the unknown side length, x, would be:

✔️ $5.62 + 3.65 + 5.62 + x = 23.59$

Solve for x

$14.89 + x = 23.59$

Subtract 14.89 from each side

$14.89 + x - 14.89 = 23.59 - 14.89$

✔️ $x = 8.7 ft$

4 0

3 years ago

Select the correct answer from the drop-down menu.

Contact [7]

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x² x x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

4 0

3 years ago