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3 years ago

What is ( m = 3 and contains (4, -1) in slope intercept form

Mathematics

2 answers:

AURORKA [14]3 years ago

8 0

Answer:

Y = 3x-13

Step-by-step explanation:

y= mx+b

4 = x and -1 =y

(4,-1)= (x,y)

m=3= slope

y=mx+b

-1=3(4)+b

-1=12+b

you subtract 12 on both sides

b = -13

Y = 3x-13

Vikentia [17]3 years ago

4 0

Answer:

y + 1 = 3(x - 4)

Step-by-step explanation:

slope formula is (y - y1) = m (x - x1)

so plug in the information and you get

(y - (-1)) = 3 (x - (4))

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zalisa [80]

Spinning on Y out of three letters (G, I and Y) = 1/3
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3 years ago

Which of the following is most likely the next step in the series?

saw5 [17]

Answer:

C, because each time, the number of purple dots, or vertices increases by one..

2, 3, 4, ?..

the next would be five, which is C.

Step-by-step explanation:

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2 years ago

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Scores on the SAT Mathematics test are believed to be normally distributed. The scores of a simple random sample of five student

AysviL [449]

Answer:

The mean calculated for this case is $\bar X=584$

And the 95% confidence interval is given by:

$584-2.776\frac{86.776}{\sqrt{5}}=476.271$

$584+2.776\frac{86.776}{\sqrt{5}}=691.729$

So on this case the 95% confidence interval would be given by (476.271;691.729)

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".

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

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

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 mean and the sample deviation we can use the following formulas:

$\bar X= \sum_{i=1}^n \frac{x_i}{n}$ (2)

$s=\sqrt{\frac{\sum_{i=1}^n (x_i-\bar X)}{n-1}}$ (3)

The mean calculated for this case is $\bar X=584$

The sample deviation calculated $s=86.776$

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

$df=n-1=5-1=4$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-T.INV(0.025,4)".And we see that $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$584-2.776\frac{86.776}{\sqrt{5}}=476.271$

$584+2.776\frac{86.776}{\sqrt{5}}=691.729$

So on this case the 95% confidence interval would be given by (476.271;691.729)

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2 years ago

-2x+3<9 answer please

just olya [345]

Answer:

x > -3

Step-by-step explanation:

-2x < 9 - 3

-2x < 6

-x < 3

x > -3

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2 years ago

Q # 1 Graph the function Y = |X + 2| - 3

Svetllana [295]

First of all we know the Absolute Value Function that is:

$\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.$

This is called the Parent Function of the Absolute Value Function.

From the equation:

$y=\left | x+2 \right |-3$

The term:

$\left | x+2 \right |$

means that the the Parent Function is shifted two units to the left.

On the other hand, the term:

$-3$

means that the function $\left | x+2 \right |$ is shifted three units downward. So the result is the graph shown below

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3 years ago

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What is ( m = 3 and contains (4, -1) in slope intercept form​

What is ( m = 3 and contains (4, -1) in slope intercept form