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Ksju [112]
2 years ago
14

Bo and Erica are yoga instructors. Between the two of them, they teach 40 yoga classes each week. If Erica teaches 14 fewer than

twice as many as Bo, how many classes does each instructor teach per week?
A.
20 Bo; 20 Erica
B.
18 Bo; 22 Erica
C.
22 Bo; 18 Erica
D.
15 Bo; 25 Erica
Mathematics
2 answers:
Sergio [31]2 years ago
8 0

Answer

Step-by-step explanation:

So, no of classes by Bo per week = x = 27  ,

And no of classes by Eric per week = y = 14

Flauer [41]2 years ago
6 0
The answer is X=27 y=14
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(f/g)(x)and (f/g)(7)
Phoenix [80]

Answer:

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Step-by-step explanation:

Division operation of function:If\ f(x)\ and\ g(x)\ are\ two\ functions\ then\ (\frac{f}{g})(x)=\frac{f(x)}{g(x)}

Here\ we\ have\ to\ find\ (\frac{f}{g})(7)\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}

Example:

Take\ f(x)=3x^2+1,\ g(x)=x+1\\\\(\frac{f}{g})(x)=\frac{f(x)}{g(x)}\\\\(\frac{f}{g})(x)=\frac{3x^2+1}{x+1}\\\\f(7)=3\times 7^2+1\\\\f(7)=3\times 49+1\\\\f(7)=148\\\\g(7)=7+1\\\\g(7)=8\\\\(\frac{f}{g})(7)=\frac{f(7)}{g(7)}\\\\(\frac{f}{g})(x)=\frac{148}{8}

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I need help with converting liters, millilters, kiloliters etc? Okay, i am really confused! I don't understand how to get 75.01
Mamont248 [21]
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3 years ago
Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place
Rashid [163]

Step-by-step explanation:

<em>I think you have forgotten to attach the question. </em>

<em>Anyways....</em>

In order to find the area of a circle use the formula:

πr^{2}   Where r is the radius

For example the radius is 3cm. The area of the circle will be:

π × 3^{2}

Since you have taken pi as 3.142...

3.142 × 3^{2}

3.142  × 9

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In order to find the answer to 1 decimal place, check the number next to the number right after the decimal. Is it a number greater than or equal to 5? then add +1 to the number.

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8 0
3 years ago
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Anni [7]

the answer is C, because you solve 2.815-749, and after you divide the result per 4, so it is 1/4

8 0
4 years ago
A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S.
pav-90 [236]

Answer:

n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159

So the answer for this case would be n=159 rounded up to the nearest integer

Step-by-step explanation:

Assuming this complete question: A union of restaurant and foodservice workers would like to estimate the mean hourly wage, , of foodservice workers in the U.S. The union will choose a random sample of wages and then estimate using the mean of the sample. What is the minimum sample size needed in order for the union to be 95% confident that its estimate is within $0.35 of ? Suppose that the standard deviation of wages of foodservice workers in the U.S. is about $2.15 .

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=2.25 represent the population standard deviation

n represent the sample size  

Solution to the problem

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 The margin of error is given by this formula:

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

And on this case we have that ME =0.35 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 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(2.25)}{0.35})^2 =158.76 \approx 159

So the answer for this case would be n=159 rounded up to the nearest integer

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