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rosijanka [135]
3 years ago
11

Mark and his friends ordered 2 pizzas. The same size

Mathematics
1 answer:
disa [49]3 years ago
5 0
We know that

<span>They cut the first pizza into 6 equal slice---> each slice is 1/6 of a whole pizza

</span><span>They cut the second pizza into 4 equal slices---> each slice is 1/4 of a whole pizza

</span><span>Each person plans to get 2 slices

case 1) one slide pizza 1 and one slide pizza 2
total pizza=(1/6)+(1/4)----> (4+6)/24----> 10/24----> 5/12 of a whole pizza

case 2) two slides pizza 1
total pizza=2*(1/6)-----> 2/6----> multiply by 2-----> (2/2)*2/6---> 4/12 
so
4/12 < 5/12-------> Mark is correct</span>
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Insert grouping symbols in 5 x 2 + 8 - 4 - 2 so that its value is 15
Arlecino [84]
5×2+8-4+1=15
cause
5×2=10
10+8=18
18-4=14
14+1=15
5 0
3 years ago
I know I haven't been on this app for a long time but can ya'll help me
kramer

Answer:

2774

Step-by-step explanation:

start by multiplying 2 by 7, the answer is 14 put the 1 above the 8 in 1387 then put the 4 under the equation, similar to addition. repeat but next time when you multiply 2 by 8 add the 1 (from the previous multiplication) to the answer under and put the 1 from 17 on top of the 3. you get it?

8 0
3 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

3 0
2 years ago
Find the radius r of the sphere.
AleksandrR [38]

Given:

The volume of the sphere = 12348π in³

To find the radius of the sphere.

Formula

The volume of a sphere of radius r is

V = \frac{4}{3} \pi r^{3}

According to the problem,

\frac{4}{3} \pi r^{3} = 12348\pi

Eliminating π from both the side.

or, \frac{4}{3} r^{3}= 12348

or, r^{3}=\frac{(12348)(3)}{4}

or, r^{3}=9641

or, r=\sqrt[3]{9261}

or, r=21

Hence,

The radius of the sphere is 21 inches.

3 0
3 years ago
Read 2 more answers
​Anthony read 1/3 of a book every day for twelve days. How many books did he read altogether?
Anettt [7]

Answer:

Step-by-step explanation:

3/36

6 0
2 years ago
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