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3 years ago

Inverse functions: g(x)= -4x+1

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

To find the inverse function, switch the two terms and solve for y again. x=-4y+1.
x-1= -4y. -(x-1)/4 = y

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A fast food restaurant executive wishes to know how many fast food meals adults eat each week. They want to construct a 98% conf

adelina 88 [10]

Answer:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

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".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1.1$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =0.07 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

The critical value for 98% of confidence interval now can be founded using the normal distribution. And in excel we can use this formula to find it:"=-NORM.INV(0.01;0;1)", and we got $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(1.1)}{0.07})^2 =1336.006 \approx 1337$

So the answer for this case would be n=1337 rounded up to the nearest integer

3 0

3 years ago

6z-4-z+10=-9 plz help and hurry

Anna35 [415]

6z -4 - z + 10 = -9
Combine like terms
5z + 6 = -9
Subtract both sides by 6
5z = -15
Divide both sides by 5
z = -3
Have an awesome day! :)

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3 years ago

How would you solve this question by substitution<br><br> 13x−6y=22<br> x=y+6<br>

mario62 [17]

Answer: x=-2 y=-8 or (-2,-8)

Step-by-step explanation:

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3 years ago

If the area of a square is 1 square meter, how many centimeters long is each side?

Rufina [12.5K]

Square meters to square centimeters metric area units conversion factor 10000. To find out how many square centimeters in sq. meters, please use the converter below.

1 Sq. Meter = 10 000 Sq. Centimeters

Sq. meter is an area unit in metric system and used widely in measuring the small lands, floor plans etc. It equals to 10.7639104 sq. feet. The abbreviations are "m2" or "sq m".

Sq. centimeter is an area unit in metric system and defined as the area of a square whose sides are exactly one centimeter in length. It equals to 0.15500031 sq. inch. The abbreviations are "cm2" and "sq cm".

Please let me know if you need additional help in private messages.

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-GeVontae The BRAINLY Team.

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3 years ago

A rectangular pool in your friend’s yard is 150 ft. × 400 ft. Create a scale drawing with a scale factor of 1 600. Use a table o

galben [10]

Answer:

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Step-by-step explanation:

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