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adelina 88 [10]
3 years ago
15

What I the slope of the equation of the line below.

Mathematics
2 answers:
rewona [7]3 years ago
7 0

Answer:

-3

Step-by-step explanation:

Goshia [24]3 years ago
5 0

Answer:

<h2>the slope m = 3</h2>

Step-by-step explanation:

Look at the picture.

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

From the graph we have the points (0, 4) and (-2, -2). Substitute:

m=\dfrac{-2-4}{-2-0}=\dfrac{-6}{-2}=3

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The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
Which statement best describes the effect of replacing the function f(x) = 2x + 2 with the function g(x) = 2x - 3?
FrozenT [24]
The correct answer is: <span>The graph shifts 5 units right

Explanation:
Below is the graph attached of both the equations:

Red line: 
Represents f(x) = </span><span>2x + 2.
Blue line: Represents g(x) = 2x - 3.

As you can see in the graph that g(x) is shifted 5 units right to f(x).

If you move towards right by 1 unit, you have to subtract 1 from f(x) until you reach g(x) like:
2x + 2 - 1 = 2x + 1 (1 unit)
</span>2x + 1 - 1 = 2x (1 unit)
2x - 1 = 2x - 1 (1 unit)
2x - 1 -1 = 2x - 2 (1 unit)
2x -2 - 1 = 2x -3 (1 unit)

Total 5 units.

Hence the correct answer is t<span>he graph shifts 5 units right.</span>

7 0
3 years ago
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What is the slope of the line shown below?
Ksivusya [100]
M = (8-2)/(4-2) = 3
Therefore the slope is 3 (D).
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3 years ago
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Graph h(x) = 0.5(x + 2)2 - 4
svetoff [14.1K]

Answer:

0,-2 and 2,0

Step-by-step explanation: i graphed it on a chart

7 0
3 years ago
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Myras stamp collection consisted of 120 stamps in October by the following March her collection had grown to 138 stamps by how m
Karolina [17]
The answer is 18. Just take the number that comes later and simply subtract from the original number. EXAMPLE- 138-120=18. Hope this helps.
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3 years ago
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