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3 years ago

There is a line that includes the point (-1, -1) and has a slope of 0. What is its equation in slope-intercept form?

Mathematics

1 answer:

tresset_1 [31]3 years ago

6 0

Answer:

y=-1

Step-by-step explanation:

The slope intercept form of a line is

y = mx +b where m is the slope and b is the y intercept

We know the slope is zero

y = 0x+ b

Substituting the values for x=-1 and y=-1 from the point we are given

-1 =0 +b

b=-1

Putting this into the original equation

y = 0x+-1

y=-1

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After shopping, it took Manuel 87 seconds to push a shopping cart directly to his car. In one-

Alenkasestr [34]

Answer:

The carts velocity= 2m/s

Step-by-step explanation:

It took Manuel 87 seconds to push a shopping cart directly to his car.

One third of 87 = 87/3 = 29

In 29 seconds the carts moved 58 meter's.

The carts velocity = distance/time

The carts velocity = 58/29

The carts velocity= 2m/s

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3 years ago

What numbers could replace each letter to make both of the number sentences true?

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2 years ago

Find the sum of the first 15 terms of the arithmetic of the sequence where the 1st term is 3200 and the common difference is 150

Elis [28]

Answer:

just to 3200-15 repeatedly

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4 years ago

Alejandra Plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 48 inches. The width

tankabanditka [31]

Answer:

1152 inches of fringe

Step-by-step explanation:

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5 0

3 years ago

ASK YOUR TEACHER An article reported that for a sample of 42 kitchens with gas cooking appliances monitored during a one-week pe

xxMikexx [17]

Answer:

$654.16-2.02\frac{165.23}{\sqrt{42}}=602.66$

$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

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".

$\bar X=654.16$ represent the sample mean

$\mu$ population mean (variable of interest)

s=165.23 represent the sample standard deviation

n=42 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 critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

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 table to find the critical value. The excel command would be: "=-T.INV(0.025,41)".And we see that $t_{\alpha/2}=2.02$

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

$654.16-2.02\frac{165.23}{\sqrt{42}}=602.66$

$654.16+2.02\frac{165.23}{\sqrt{42}}=705.66$

So on this case the 95% confidence interval would be given by (602.66;705.66)

7 0

4 years ago