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Step2247 [10]
3 years ago
15

How do you graph y≤ -3x +1

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0
First, graph the line. Second, test a point that is not on the line ((0,0) is often a good one to try, so long as its not a point on the line) and plug it into the the inequality. If the inequality is FALSE then that point is not a part of the shaded area on the graph. If the inequality is TRUE then the point is a part of the shaded side of the graphed line. Remember, the graphed line is solid if it is ≥, or <span>≤, and a dotted line if it is < or >. Hope this is what you wanted and makes sense! </span>
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Esearchers believed that an increase in lean body mass is associated with an increase in maximal oxygen uptake. A scatterplot of
Dovator [93]

Answer:

The correct option is (D).

Step-by-step explanation:

The <em>p</em>-value is well defined as per the probability, [under the null hypothesis (<em>H₀</em>)], of attaining a result equivalent to or more extreme than what was truly observed.

A small <em>p</em>-value (typically ≤ 0.05) specifies solid proof against the null hypothesis (<em>H₀</em>), so you discard <em>H₀</em>.

A large <em>p</em>-value (> 0.05) specifies fragile proof against the <em>H₀</em>, so you fail to discard <em>H₀</em>.

The hypothesis is defined as follows:

<em>H₀</em>: The slope of the regression line is 0, i.e. <em>β </em>= 0.

<em>Hₐ</em>: The slope of the regression line is greater than 0, i.e. <em>β </em>> 0.

A scatter-plot of the measurements taken from 18 randomly selected college athletes displayed a strong positive linear relationship between the two variables; lean body mass and maximal oxygen uptake.

The significance level of the test is, <em>α</em> = 0.05.

The <em>p</em>-value of the test is, <em>p</em>-value = 0.04

As the <em>p</em>-value = 0.04 < <em>α</em> = 0.05, we reject the null hypothesis.

So, it can be concluded that there is a statistical evidence of a relationship between lean body mass and maximal oxygen uptake for college athletes.

Since the scatter-plot shows a strong positive linear relationship, it implies that as the an increase in lean body mass causes an increase in maximal oxygen uptake for college athletes.

Thus, the correct option is (D).

7 0
3 years ago
Jack is playing a game. When a player wins 3 consecutive games, the player receives 10 bonus points and then the player’s total
svlad2 [7]
Let Jack's current point is p

After winning 3 consecutive games, the bonus point is given by
b(p)=p+10

The score after 5% = 0.05 increase is
s(p)= (1+0.05)p=1.05p

(s.b)(p)=1.05(p+10)=1.05p+10.5


3 0
4 years ago
​−x+4y=4<br> ​−x+3y=1<br> Is (8,3) a solution of the system <br> A. Yes<br> B. No
valkas [14]
It has to be yes........
5 0
4 years ago
. A group of ten candy bars has an average cost of $0.89 per candy bar. How many bars must be bought at the cost of $0.72 a piec
Cloud [144]

we will have to buy 12.

<h3>How to solve?</h3>

We know to begin with that for x candy bards:

x / 10 = 0.89; x = 8.90

We are trying to ascertain how many bars (y) must be added to this to amount to have an average of 0.80.  This is represented:

(8.9 + 0.72y) / (10 + y) = 0.8

8.9 + 0.72y = 0.8 (10 + y)

8.9 + 0.72y = 8 + 0.8y

8.9 – 8 = 0.8y - 0.72y

0.9 = 0.08y

y = 0.9 / 0.08 = 11.25

However, since we cannot have a partial amount of candy bars, we will have to buy 12.

Learn more

brainly.com/question/4313883

#SPJ4

5 0
2 years ago
Adrian has 34.5 feet of rope adrain uses 10.72 feet to make a swing how much rope left to left over after making the swing
Natasha_Volkova [10]

Answer:

23.78

Step-by-step explanation:

34.50-10.72=23.78

7 0
3 years ago
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