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4 years ago

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

Mathematics

1 answer:

Vsevolod [243]4 years ago

4 0

The slope of this line is:

3-(-6)

m = ------------ = 1

3-(-3)

and so, using the point-slope formula for the equation of a str. line,

y-3 = 1(x-3), or y-3 = x - 3, or 1x - 3 - y + 3 = 0. Then 1x - 1y = 0 (in standard form). Alternatively, y = x (slope-intercept form).

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What requirements must be satisfied? select all that apply.

IrinaK [193]

In order to satisfy the requirement, this are the following that is required;First, at least one observation must be above or below 90 seconds. Second is ether the population is normally distributted or greater than (>) 30, or maybe both.
The answer in this question is A and B.

8 0

3 years ago

How many solutions does the system have?<br> y=-2x -4 <br> y=3x + 3

baherus [9]

Answer:

x=−7/5and y=−6/5

Step-by-step explanation:

Step: Substitute−2x−4foryiny=3x+3:

y=3x+3

−2x−4=3x+3

−2x−4+−3x=3x+3+−3x(Add -3x to both sides)

−5x−4=3

−5x−4+4=3+4(Add 4 to both sides)

−5x=7

−5x

−5

(Divide both sides by -5)

x=−7/5

7 0

3 years ago

A research team is testing whether a fuel aditive increases a car's gas mileage. The maker of the additive claims that the addit

Thepotemich [5.8K]

Answer:

Yes there is sufficient evidence to reject the company's evidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 25

The mean is $\= x = 5.3 \ mpg$

The standard deviation is $\sigma = 1.8 \ mpg$

The z-score is z = -1.94

The null hypothesis is $H_o : \mu = 6 \ mpg$

The alternative hypothesis is $H_a : \mu \ne 6$

Generally the p-value is mathematically evaluated as

$p-value = 2 * P( Z$

From the z table the area under the normal curve to the left corresponding to -1.94 is

$P( Z$

=> $p-value = 2 * 0.02619$

=> $p-value = 0.052$

Let assume the level of significance is $\alpha = 0.05$

Hence the $p-value > \alpha$ this mean that

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There is sufficient evidence to reject the company's evidence

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3 years ago

After you subtract both sides by 4. How can you solve for 3x in this equation?

Nataly [62]

Answer:

Step-by-step explanation:

Once you subtract both sides, the 4 is gone then the 10 is subtracted into a 6. You go to the 3x, and just like what you did to the 4 you do the opposite and divide the 3 by itself and the 6 by 3 as well.

8 0

4 years ago

A table with a round top is cut in half so that it can be used against a wall.after it is cut,the edge along the wall is 6 feet

MrRissso [65]

Answer:

The area of the table after it is cut is 12 or 36 because

Step-by-step explanation:

6 times 2= 12 and 6 times 6= 36 so year

4 0

3 years ago