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3 years ago

Easy points plz solve quick

Mathematics

2 answers:

satela [25.4K]3 years ago

6 0

Answer:

23 and 50

Step-by-step explanation:

23 and 50

Rina8888 [55]3 years ago

3 0

Answer:

Step-by-step explanation:

23 and 50

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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

Write the standard form of the line that passes through (-1,-3) and (2,1).

kobusy [5.1K]

Answer:

Step-by-step explanation:

$\mathrm{Line\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Find\:the\:line\:}\\\mathbf{y=mx+b}\mathrm{\:passing\:through\:}\left(-1,\:-3\right)\mathrm{,\:}\left(2,\:1\right)\\\\\mathrm{Compute\:the\:slope\:}\left(-1,\:-3\right),\:\left(2,\:1\right):\quad \\m=\frac{4}{3}\\\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(-1,\:-3\right),\:\left(x_2,\:y_2\right)\\\left\\$

$\\m=\frac{1-\left(-3\right)}{2-\left(-1\right)}\\\\Refine\\\\m=\frac{4}{3}\\\\\mathrm{Compute\:the\:}y\mathrm{\:intercept}:\quad b=-\frac{5}{3}\\\\y=\frac{4}{3}x-\frac{5}{3}\\$

Convert equation to standard form

$y - \frac{4}{3} x + \frac{5}{3} = 0\\\\Multiply \:through\: by\: 3;\\\\3\times (y - \frac{4}{3} x + \frac{5}{3} )=0\\\\3y -4x+5 = 0\\Arrange\:n\:form\:of \:;\\Ax +By = C\\\\-4x +3y =-5$

5 0

4 years ago

A rectangular prism has a height of 10 inches, breadth of 19 inches and length twice the height. What is the volume of the prism

andrezito [222]

Answer:

3800

Step-by-step explanation:

Volume= Length x width x height

v=20x19x10

v=3800 inches²

Brainliest please

4 0

3 years ago

The perimeter of a triangular playground is 120 feet. The ratio of the measures of the sides is 3:5:7. Find the measure of the s

Hunter-Best [27]

24 feet, 40 feet, and 56 feet this is because using the ratio given 3:5:7

you can multiply
3x8=24
5x8=40
7x8=56
This shows that it follows the ratio lastly you need to make sure the numbers add up to 120
24+40+56=120
So A is your answer can I be marked brainiest please

5 0

3 years ago

Describe several real world situations can be modeled by equations of the form Y equals MX plus be or Y equals MX explain how th

lara [203]

The linear equation represents y = mx + b describes several real world situations such as

Relation between printer and ink cartridges,

Relationship between number of songs and how much is left on the card.

<u>Step-by-step explanation</u>:

Linear equations y = mx + b.

m is your rate of change.

b is your constant. This is the initial value of y. The value of y when x is 0.

Finally, y is the thing that depends on x.

Oh right, examples:

I buy a printer for $100 and the ink cartridges cost $25 each. The relationship between ink cartridges and total cost.

total cost = 25(cartridges I buy) + 100 or y = 25x + 100

I get a $100 iTunes gift card for my birthday and then start buying $1 songs. The relationship between the number of songs I buy and how much is left on the card

amount left on card = -$1(songs bought) + 100 or y = -x +100

5 0

3 years ago