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1 year ago

The equation of the line with slope

Mathematics

1 answer:

yulyashka [42]1 year ago

7 0

The linear equation in slope-intercept form can be written as:

y = 5*x + 6

<h3>How to find the linear equation?</h3>

A general linear equation in the slope-intercept form is:

y = a*x + b

Where x is the independent variable, y is the dependent variable, and a and b are constant real numbers, such that a is the slope and b is the y-intercept.

Here we know that the slope is 5, then we can replace a by 5.

And we know that the y-intercept is (0, 6), it means that b = 6.

Then the linear equation in slope-intercept form can be written as:

y = 5*x + 6

If you want to learn more about linear equations:

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Suppose that administrators at a large urban high school want to gain a better understanding of the prevalence of bullying withi

boyakko [2]

Answer:

lower limit =0.261

upper limit =0.369

Step-by-step explanation:

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".

Description in words of the parameter p

$p$ represent the real population proportion of people that have experienced bullying

X= 63 people in the random sample that have experienced bullying

n=200 is the sample size required

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that have experienced bullying

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the number of people with a characteristic and n the total sample size selected.

$\hat p=\frac{63}{200}=0.315$ represent the estimated proportion of people that they were planning to pursue a graduate degree

Confidence interval

The confidence interval for a proportion is given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 90% confidence interval the value of $\alpha=1-0.90=0.1$ and $\alpha/2=0.05$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.64$

And replacing into the confidence interval formula we got:

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.261$

$0.315 - 1.64 \sqrt{\frac{0.315(1-0.315)}{200}}=0.369$

And the 90% confidence interval would be given (0.261;0.369).

We are confident at 90% that the true proportion of people that they were planning to pursue a graduate degree is between (0.261;0.369).

lower limit =0.261

upper limit =0.369

5 0

3 years ago

Amber’s bird feeder holds 4/5 of a cup

Harlamova29_29 [7]

Answer:

0.8 units

Hope this helps you!!!

7 0

3 years ago

Ahmed, Walid and Faisal made $1446 profit from selling used books. If Ahmed to receive double amount of Faisal and Walid to rece

crimeas [40]

Answer:

Faisal receives $241

Ahmed receives $482

Walid receives $723

Step-by-step explanation:

I am going to build a system of equations to solve this question.

We have that:

x is the amount that Faysal received.

y is the amount that Ahmed received.

z is the amount that Walid received.

Ahmed, Walid and Faisal made $1446 profit from selling used books.

This means that

$x + y + z = 1446$

Ahmed to receive double amount of Faisal

This means that $y = 2x$

Walid to receive triple amount of Faisal.

This means that $z = 3x$

$x + 2x + 3x = 1446$

$6x = 1446$

$x = \frac{1446}{6}$

$x = 241$

$y = 2x = 2*241 = 482$

$z = 3x = 3*241 = 723$

Faisal receives $241

Ahmed receives $482

Walid receives $723

8 0

3 years ago

X=53+44+46? Is this right or no?

OleMash [197]

Answer:

X= 143°

Step-by-step explanation:

You could do it your way or as you can see, there's a right angle, which equals 90°, so you could either add 44+46+53 or 90+53. You get the same answer, which is 143°.

3 0

2 years ago

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Sally went to the video game store and bought 2 used video games for $22.50 each, one new game for $55, and a gaming magazine fo

Nuetrik [128]

Answer:

$120.29

Step-by-step explanation:

first you add the normal prices of what sally bought, then add 6.5% of the price she paid.

5 0

3 years ago

Read 2 more answers