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Dmitry [639]
3 years ago
5

Kali is selling two different kinds of soup - tomato soup and clam chowder. She has a total of 80 bowls, so she can sell no more

than 80 bowls of soup. Each tomato soup sells for $5 and each clam chowder sells for $10. In order to reach her goal, Kali must make at least $500.
If the solution region represents the number of bowls of soup Kali needs to sell in order to reach her goal, which graph's shaded area represents the solution region?
Mathematics
1 answer:
algol133 years ago
4 0
You are looking for the shaded region that would be contained in both of the inequalities.

You have:
x+y \leq 805x+10y\ \textgreater \ 500

If you graph an shade the correct half-plane for those equations, you will see there is a triangular region on the left side of the first quadrant.
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From 19 measurements of a pressure controller, the mean operating pressure is 4.97 kPa with a standard deviation of 0.0461 kPa.
Semenov [28]

Answer:

4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95    

4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99    

So on this case the 95% confidence interval would be given by (4.95;4.99)  

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 =4.97 represent the sample mean

\mu population mean (variable of interest)

s=0.0461 represent the sample standard deviation

n=19 represent the sample size  

Confidence interval

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=19-1=18

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(0.025,18)".And we see that t_{\alpha/2}=2.10

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

4.97-2.10\frac{0.0461}{\sqrt{19}}=4.95    

4.97+2.10\frac{0.0461}{\sqrt{19}}=4.99    

So on this case the 95% confidence interval would be given by (4.95;4.99)    

5 0
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Hi. The statement you gave is somewhat true, but not always. I disprove this and there are tons of websites that can help you with more in depth explanation. Have a good day.
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There are 6 teams in a baseball league. A schedule is made such that each team plays every other team 5 times. How many games mu
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6 teams 5 times the key word is times this means multiply so 6x5=30
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Explain part a and b
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Archy [21]
36/54 = x/100

54x = 100 * 36
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First put it into a proportion and then cross multiply. After that you divide both sides by 54 to get x alone which gives you 66.66666 which is rounded to 66.67

Answer: 66.67%
7 0
3 years ago
Read 2 more answers
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