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vlabodo [156]
2 years ago
11

Find the slope (m) and y-intercept (b) for y = 4x - 8.

Mathematics
1 answer:
il63 [147K]2 years ago
8 0

Answer:

the slope, m, is 4 and that the y-intercept, b, is -8

Step-by-step explanation:

Compare the given equation to the slope-intercept form y = mx + b.  Here we see that the slope, m, is 4 and that the y-intercept, b, is -8.

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Which of these statements is true?
Talja [164]

Answer:

B all square are regular polygons

8 0
3 years ago
A student wanted to construct a 95% confidence interval for the mean age of students in her statistics class. She randomly selec
VMariaS [17]

Answer:

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

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=19.1 represent the sample mean

\mu population mean (variable of interest)

s=1.5 represent the sample standard deviation

n=9 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=9-1=8

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,8)".And we see that t_{\alpha/2}=

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

19.1-3.355\frac{1.5}{\sqrt{9}}=17.42    

19.1+3.355\frac{1.5}{\sqrt{9}}=20.78    

And the best option would be:

C. [17.42,20.78]

5 0
3 years ago
If a firm produces nothing which of the following costs will be zero?
matrenka [14]
In general when a firm produces nothing it still has to pay for the fixed costs while the variable costs are zero
3 0
3 years ago
4(2x+3)=x(3+5)+12<br> Help
Karo-lina-s [1.5K]

Answer:

Step-by-step explanation:

8x + 12 = 3x + 5x + 12

8x + 12 = 8x + 12

Bringing like terms on one side

8x - 8x = 12 - 12

x = 0

7 0
3 years ago
Read 2 more answers
A tank in the shape of a hemisphere has a radius of 7 feet. if the liquid that fills the tank has a density of 93 pounds per cub
professor190 [17]

The total weight of the liquid that filled the hemispheric tank to the nearest full pounds is 66775 pounds.

<h3>What is the volume of an hemisphere?</h3>

An hemisphere is half of a sphere. Therefore,

volume = 2 / 3 πr³

where,

  • r = radius

Therefore,

r = 7 feet

volume = 2 / 3 × 3.14 × 7³

volume = 2 / 3 × 3.14 × 343

volume = 2154.04 / 3

volume = 718.013333333

volume = 718.013

Therefore,

density = mass / volume

93 =  mass / 718.013

mass = 718.013 × 93

mass = 66775.24

mass ≈ 66775 pounds

learn more on hemisphere here: brainly.com/question/14527816

5 0
2 years ago
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