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Volgvan
4 years ago
13

The O'Brien family is ordering food for a family reunion. The family orders 16 pounds of potato salad. If 20 people attend the r

eunion, what is the largest amount of potato salad each person could receive
Mathematics
1 answer:
sukhopar [10]4 years ago
5 0

Answer:

Each person would receive maximum 0.8 pounds of potato.

Step-by-step explanation:

Given:

Total Amount of Potato = 16 pounds.

Number of people attend reunion = 20

We need to find the largest amount of potato each person would receive.

Solution:

largest amount of potato each person would receive can be calculated by dividing Total Amount of Potato with Number of people attend the reunion.

framing in equation form we get;

largest amount of potato each person would receive = \frac{16}{20} =0.8\ pounds

Hence Each person would receive maximum 0.8 pounds of potato.

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Need help with 10, 11, and 12. Need help fast!!
vova2212 [387]

<u><em>#10.</em></u> In order to find a ratio, all we need to do is set up a simple equation and then cross-multiply!

I'll show you !

In this case, we'll take the <u>already established ration </u><u>(14 : 8 )</u> and find the equivalent ratio where <u>7 is in place of 14 </u><u>(7: x) </u>

x will be the other table value we are looking for!

Now let's set up the equation and cross-multiply!

\frac{14}{8} = \frac{7}{x}

<u>cross multiply 14 and x, then 8 and 7 </u>

We get:  14x = 56

solve to find x!

x = 56/14

x = 4 blankets

Now let's use the ratio 7: 4 to find what goes with 16 in the table!

\frac{7}{4} = \frac{x}{16}

4x = 112

x = 112/4

x = 28 towels

_________________________________________________-

<u><em>#11. : </em></u>Using the same method, I'll fill in the values of the table on #11

16 forks, 10 spoons

8 forks, 5 spoons,

48 forks, 30 spoons

_____________________________________________

<u><em>#12. </em></u>If the neighbor pays you $17 for every 2 hours of work, we need to find <u><em>how many times 2 hours goes in 8 hours of work</em></u>

We do this by dividing

8/2 = 4 times

2 hours of work goes into 8, 4 times!

Now we multiply 4 by $17 to find how much your neighbor owes you!

$17 × 4 = $68

Your neighbor owes you $68 !!!

8 0
2 years ago
A simple random sample was taken of 44 water bottles from a bottling plant’s warehouse. The dissolvedoxygen content (in mg/L) wa
AleksAgata [21]

Answer:

a)9.14-2.33\frac{2}{\sqrt{44}}=8.44    

9.14+2.33\frac{2}{\sqrt{44}}=9.84    

b) The 98% confidence interval would be given by (8.44;9.84)    

For this case we can conclude that we have 98% of confidence that the true mean for the oxygen content is between 8.44 and 9.84 mg/L

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=9.14 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=2 represent the population standard deviation

n=44 represent the sample size  

Part a

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\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=18-1=17

Since the Confidence is 0.98 or 98%, the value of \alpha=0.01 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.01,0,1)".And we see that z_{\alpha/2}=2.33

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

9.14-2.33\frac{2}{\sqrt{44}}=8.44    

9.14+2.33\frac{2}{\sqrt{44}}=9.84    

Part b

The 98% confidence interval would be given by (8.44;9.84)    

For this case we can conclude that we have 98% of confidence that the true mean for the oxygen content is between 8.44 and 9.84 mg/L

3 0
4 years ago
Four runners completed in a 10-kilometer relay race. Each Runner ran the same distance. What was that distance?
STatiana [176]
4 is the answer hope this helps
3 0
3 years ago
Read 2 more answers
find three numbers whos sum is 86, if the first number is three times the difference between the second and the third, and the s
agasfer [191]

Answer: 45,28,13

Step-by-step explanation:


Firstly let’s call integer 3

‘x’

Following the information given the following equations can be constructed:

integer 3 = x


integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two

integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3


next we can treat them like their own variables almost.

integer 1 + integer 2 + integer 3 =86


so now plug in the equations we have constructed for each integer:


(3((2x+2)-x)) + (2x+2) + x = 86


to make it easier to read please see the image attached below to solve for x


After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)


now plug in 13 into our integer equations :


integer 2: 2(13)+2= 28

Therefore integer 2 is 28


integer 1: 3((2(13)+2)-(13))=
3((28-13)

3(15)

45

Therefore integer 1 is 45.


and integer 3 is x which as we now know is equal to 13

3 0
3 years ago
in the table approximately how much gallons does an average household use every day for showers and for the toliet
Mariana [72]

Answer:

238 gallons

Step-by-step explanation:

81 + 60 + 53 + 44 = 238

5 0
3 years ago
Read 2 more answers
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