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NeTakaya
3 years ago
14

Ron finds 9 books at a bookstore that he would like to buy, but he can afford only 5 of them. In how many ways can he make his s

election? How many ways can he make his selection if he decides that one of the books is a must?
Mathematics
1 answer:
pashok25 [27]3 years ago
5 0

Answer:

15,120 for the first question. 1,680 if one of the books is a must

Step-by-step explanation:

When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.

We can make an equation to represent this,

9 x 8 x 7 x 6 x 5

Multiplying all of that out gets you 15,120.

The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.

8 x 7 x 6 x 5

Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.

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A tablet contains 0.5 mg of medication. A patient receives 5 tablets a day. How many mg patient receive per day?
Sindrei [870]

Answer:

2.5 mg

Step-by-step explanation:

.5 x 5 = 2.5

4 0
2 years ago
Part A. At the local baker you can get 10 cookies for $2. How many cookies could you get for $5 dollars?
Yakvenalex [24]

Answer:

Pt. A: 25 cookies. Pt. B. $10.00

Step-by-step explanation:

1st you need to divide 10 cookies and $2 dollars, so 10/2= 5 cookies. So, it would be 5 cookies per dollar. So, then you would multiply 5 cookies*5 dollars, that equals 25. you would get 25 cookies for $5.00.  

So, for Part B, you would divide 50 cookies by $5 dollars, and that would equal $10.00.

Hope this helped you!!! (:

7 0
2 years ago
Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old
DedPeter [7]

Answer:

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

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=39 represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma=1 represent the population standard deviation

n=25 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The margin of error is given by:

ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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 tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

And replacing we got:

ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392

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

39-1.96\frac{1}{\sqrt{25}}=38.608    

39+1.96\frac{1}{\sqrt{25}}=39.392    

So on this case the 95% confidence interval would be given by (38.608;39.392)    

7 0
2 years ago
Is TriangleMNL ≅ TriangleQNL? Why or why not?
sasho [114]

Answer:

Yes, they are congruent by either ASA or AAS.

Step-by-step explanation:

google lol

3 0
3 years ago
the class had a pizza party 3/8 of a pizza was left over and 4/8 of a pizza with other pizza was left over you put them both int
matrenka [14]
You would have 7/8 of pizza slices total.
4 0
3 years ago
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