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3 years ago

The parameters of a linear function are the slope and the y-intercept

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A linear function in slope intercept form is equal to

$f(x)=mx+b$

where

m is the slope or unit rate

b is the y-intercept

x is the independent variable or input value

f(x) is the dependent variable or output value

In this problem we have

$f(m)=5+3m$

where

m is the number of miles

f(m) is the cab company's fare in dollars

we have that

In this context

Slope

The slope or unit rate is equal to the cost per mile for the riders trip

The slope is $3 per mile

Y-intercept

The y-intercept is the cost of the riders trip when the number of miles is equal to zero, also is called the initial value.

The y-intercept is $5

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What degree is a straight angle?

natita [175]

Answer:

180 degree

Step-by-step explanation:

A straight line is 180 degrees, or a "straight" angle.

4 0

2 years ago

Suppose a food scientist wants to determine whether two experimental preservatives result in different mean shelf lives for bana

melomori [17]

Answer:

The two sample t-test

Step-by-step explanation:

The appropriate test for thus is the two sample t test which is also known as the independent t test. This tests aims at determined whether there is a statistically significant difference between the means in two unrelated groups which in this context are a random sample with one type of preservative and another sample with another type of preservatives.

With this test, the researcher is able to compare the mean shelf lives of the bananas treated with the two different preservatives... The null hypothesis equalises the two means of the sample while the alternative does otherwise.

3 0

3 years ago

31,059 is rounded by ten thousands in math

kifflom [539]

This would be 30,000

8 0

3 years ago

THIS IS DUE TODAY AND I NEED AS MUCH HELP AS I CAN ITS DUE WITHIN 15 MINS

xenn [34]

Answer:

1) -3/3

2) 1/2

3) 3/4

4) -2/1

5) 1/2

6) 4/1

Step-by-step explanation:

RISE OVER RUN

(Rise) Using the farthest dot on the left you count how much you rise till you align with the second dot (depending on whether you go up or down determines + or -)

(Run) Once aligned with the second dot count whilst 'running' towards it till you've reached it. (If you go right it's +, if you go left it's -)

Hard to explain, but it's really easy if you look up a tutorial.

7 0

3 years ago

You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample

Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=160)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{160}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 1.96$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{1.96(160)}{78.4})^2 =16$

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And now we can replace the new value of Me and see what we got, like this:

$n=(\frac{1.96*160}{60})^2 =27.32$

And if we round up the answer we see that the value of n to ensure the margin of error required $Me=\pm 60$ $ is n=28.

5 0

2 years ago