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2 years ago

Write your answer as a

Mathematics

1 answer:

postnew [5]2 years ago

4 0

8 friends: 2 pounds of grapes.

Each friend get 1/4 a pounds of grapes.

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An English teacher needs to pick 9 books to put on his reading list for the next school year, and he needs to plan the order in

Nikitich [7]

Answer: $4.37\times10^3$

Step-by-step explanation:

Given : Number of choices for novels = 4

Number of choices for plays = 6

Number of choices for poetry books = 5

Number of choices for nonfiction books = 5

Total books =4+6+5+5=20

If he wants to include all 4 novels, then the number of books left to select = 9-4=5

Remaining choices for books = 20-4=16

Number of combinations of n things taking r at a time : $\dfrac{n!}{r!(n-r)!}$

Then, the number of different reading schedules are possible :_

$^4C_4\times^{16}C_5\\\\=\dfrac{4!}{4!(4-4)!}\times\dfrac{16!}{5!(16-5)!}\\\\=(1)\times\dfrac{16\times15\times14\times13\times12\times11!}{120\times11!}\\\\=4368=4.368\times10^3\approx4.37\times10^3$

Hence, the required answer is $4.37\times10^3$ .

8 0

2 years ago

Please Help Will give brainliest, 5 stars and thanks!

mart [117]

Okay so 0.08L=80mL. 8,000mL=8L. 0.8L=800 mL. And 80mL=0.08L. Hope this all helps

6 0

2 years ago

If a shape is dilated, do the angles remain the same?

juin [17]

Yes, the angles are the same as the shape is smaller, but it will be a different size

3 0

2 years ago

Read 2 more answers

Can the two integers both be negative? Explain

liberstina [14]

If you are referencing a picture, there is none attached to this post. If you can repost with a picture I can try to help you!

5 0

3 years ago

Identify the correct conclusion. Do not reject the null hypothesis. Report that there insufficient evidence to conclude that tre

mr_godi [17]

The question is incomplete. The complete question is :

Tests for adverse reactions to a new drug yielded the results given in the table. Drug Placebo headaches No headaches 11 7 91 73 The data will be analyzed to determine if there is sufficient evidence to conclude that an association exists between the treatment (drug or placebo) and the reaction (whether or not headaches were experienced. The results of the test are X2 = 1.798 P-value = .1799. Identify the correct conclusion. O Do not reject the null hypothesis. Report that there insufficient evidence to conclude that treatment and reaction are dependent. O Fail to reject the null hypothesis. Report that there insufficient evidence to conclude that the distribution of headaches is uniform for the drug and placebo. O Reject the null hypothesis. Report that there is sufficient evidence to conclude that treatment and reaction are dependent. O Reject the null hypothesis. Report that there is insufficient evidence to conclude that treatment and reaction are dependent.

Solution :

Given :

Drugs Placebo

Headaches 11 7

No headaches 73 91

The results of the test are :

$X^2=1.798$

The P value is given as = 0.1799

The hypothesis test given for dependent or association between the two variables.

$H_0$ : There is no association between the treatment and the reaction

$H_1$ : There is association between the treatment and the reaction.

If the P value is greater than the alpha value, i.e. when

P value > α (0.05), then we reject the $H_0$ .

Therefore, Do not $\text{reject the null hypothesis}$ . Report that $\text{there insufficient}$ evidence to conclude that $\text{treatment}$ as well as $\text{reaction are dependent}$ .

7 0

2 years ago