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3 years ago

What is the equation of the line parellel to line L that passes through point (3, 3)?

1 answer:

5 0

The slope of line L is

$= \frac{ - 3 - 3}{2 - - 1} = \frac{ - 6}{3} = - 2$
Since the line is parallel to L , it also has the same gradient,

The equation is

$y = - 2(x - 3) + 3$
$y = - 2x + 6 + 3$
$y = - 2x + 9$

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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than

Sauron [17]

The test statistic for the hypothesis would be 1.413.

Given that the participants in its new diet program lose, on average, more than 13 pounds and the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds.

The objective is to text the advertisement's claim that participants in new diet program lose weight, on average, more than 13 pounds.

Hypothesis:

Null hypothesis:H₀:μ=13

Alternative hypothesis:Hₐ:μ>13

Here, μ be the mean weight loss of all participants.

n=30,

Degree of freedom n-1=30-1=29

$\bar{x}$ =13.8 and s=3.1

To test the null hypothesis H₀, the value of test static would be calculated as follows:

$\begin{aligned}t&=\frac{\bar{x}-\mu}{\frac{s}{\sqrt{n}}}\\ t_{29}&=\frac{13.8- 13}{\frac{3.1}{\sqrt{30}}}\\ &=\frac{0.8}{0.566}\\ &=1.413\end$

Hence, the value of the test static for the hypothesis with the mean weight loss of these participants as 13.8 pounds with a standard deviation of 3.1 pounds is 1.413.

Learn more about hypothesis from here brainly.com/question/14783359

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6 0

1 year ago

5,873

Tresset [83]

Answer:

1)5873 x 4=23492

2)5000 x 4=20000

3)800 x 4=3200

4)70 x 4=280

5)3 x 4=12

Step-by-step explanation:

4 0

2 years ago

Logs are stacked 7 rows high. The top row has 15 logs, the second row has 18 logs, and the third row has 21 logs. This pattern c

EastWind [94]

The answer is 168 logs.

1st row: 15 logs
2nd row: 18 logs
3rd row: 21 logs
(so, each row has 3 more logs)
4th row: 24 logs
5th row: 27 logs
6th row: 30 logs
7th row: 33 logs

The sum of logs from each row is: 15 + 18 + 21 + 24 + 27 + 30 + 33 = 168 logs

4 0

2 years ago

Read 2 more answers

8. It took Sharon 85 minutes to wash three cars. She spent x minutes on each car and 10 minutes

Yuliya22 [10]

Answer:

c. 25 minutes

Step-by-step explanation:

3x + 10 = 85

3x = 85 - 10

3x = 75

x = 25

8 0

2 years ago

Gandalf the grey started in the forest of mirkwood at a point pp with coordinates (−2,1)(−2,1) and arrived in the iron hills at

AlladinOne [14]

Travel direction 3i + 2j, slope = 2/3.
We have slope and a point (-2,1) this gives us a line equation:
LINE BEFORE THE TURN, EQUATION: y = (2/3)x + 1

The point of intersection of the two lines:
1) through (-2,1) with slope 2/3 and;
2) through (-1,6) with slope 3/2.

8 0

3 years ago