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3 years ago

Write the equation in slope-intercept form. Then find the slope and y-intercept of the line.

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

y = -3x + 6

Step-by-step explanation:

To make this in slope intercept form, you need to use one step called inverse operation, all that is, is subtracting the 3x from both sides, which will eliminate the 3x on the left and add a negative 3x on the right

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A drug company is testing a new drag which is supported to reduce blood pressure. From the nine people who are used as subjects,

Pie

Answer:

The 95% confidence interval for the mean change in blood pressure, $\bar{x}$ , is 1.744 < $\bar{x}$ < 2.816

Step-by-step explanation:

The parameters given are;

The number of people in the sample, n = 9

The average drop in blood pressure, $\bar{x}$ = 2.28 points

The standard deviation, σ = 0.82

The confidence level = 95%

The formula for confidence interval with a known mean is given as follows;

$CI=\bar{x}\pm z_{\alpha/2} \dfrac{\sigma}{\sqrt{n}}$

Where:

$z_{\alpha/2}$ = z - score at 95% confidence level = 1.96

We therefore have;

$CI=2.28 \pm 1.96 \times \dfrac{0.82}{\sqrt{9}}$

Which gives the 95% confidence interval for the mean change in pressure, $\bar{x}$ , is given as follows;

1.744 < $\bar{x}$ < 2.816

6 0

2 years ago

A sample size of n = 64 is drawn from a population whose standard deviation is o = 5.6.

AlekseyPX

Answer:

The margin of error for a 99% confidence interval for the population mean is 1.8025.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem:

$\sigma = 5.6$

$M = 2.575*\frac{5.6}{\sqrt{64}} = 1.8025$

The margin of error for a 99% confidence interval for the population mean is 1.8025.

5 0

2 years ago

A carnival ride is in the shape of a wheel with a radius of 15 feet. The wheel has 24 cars attached to the center of the wheel.

Anarel [89]

The radius the wheel (circle) is 15 ft a circle is equal to 360° so
1the central angle is: 5/360=24°
the circumference is: 2 π 24= 150.7ft
The arc is: 150.7/24= 6.28ft
The area of sector is: = 1/20 * Area of circle
<span>= 1/20 * pi * (25)^2 </span>
<span>= 98.17 feet^2
</span>I hope that this is helpful :)

3 0

2 years ago

I NEED HELP !!!!

horsena [70]

Answer:

2,3,5,6 on Edge 2020

Step-by-step explanation: