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3 years ago

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Mathematics

2 answers:

Elenna [48]3 years ago

8 0

Answer:

Step-by-step explanation:

Substituting x and y values into the equations, we can get the equation

y = 7 -3x

slope: -3

ozzi3 years ago

5 0

Answer:

y=7-3x; m= -3; b= 7

Step-by-step explanation:

First to find the slope you use the formula m(slope)= (y2-y1)/(x2-X10

to get the values for (x1,y1) you can pick any pair of x and y values from the table and the same goes for (x2,y2). After that you plug the values into the formula for slope which gives you -3.

For example: (x1,y1) can be (0,7) and (x2,y2) can be (1,4)

m=(4-7)/(1-0)

m= -3/1

m= -3

From there finding the y value is very simple, pick any pair of x and y values for the table and plug them into the equation for slope intercept form, y=mx+b plug the x value in for x, the y value in for y, and the slope we got earlier in for m. b is the variable for the y intercept, which is what we are now trying to find. so once we have plugged in all of our values, we just simplify the equation

(0,7)

y=mx+b

7= -3(0)+b

7= b

Now that we have both our slope and y intercept we can just plug them into y=mx+b and then we have the equation of the relationship;

y=7-3x which can also be written as y= -3x+7

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Select the correct answer.

lorasvet [3.4K]

Answer:

A. 5x^2 - 2x - 12 = 0

Step-by-step explanation:

The base is x feet.

The height is 2 less that 5 times the base.

The height is 5x - 2.

The area is 12.

The area is base * height / 2.

area = bh/2

area = x * (5x - 2) = 12

5x^2 - 2x = 12

5x^2 - 2x - 12 = 0

8 0

3 years ago

Read 2 more answers

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AVprozaik [17]

Answer:

The 99% confidence interval would be given by (196.2;283.8)

We are 99% condident that the true mean is between 196.2 and 283.8

We need to assume that the data comes from a random sample and we need to assume that the distribution of the data is normal.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=240$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=15 represent the sample standard deviation

n=4 represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=4-1=3$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,3)".And we see that $t_{\alpha/2}=5.84$