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3 years ago

Of 19 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take?

Mathematics

1 answer:

mash [69]3 years ago

7 0

Answer:

27132

Step-by-step explanation:

Assuming the order does not matter, since it will always be a mixture of the same 6 books, we can calculate a combination for these outcomes.

The combination formula is:

nCr = n! ÷ (n-r)!r!

, where ! represents factorials, n represents the total number of items, and r represents the number of items being chosen.

So 19! ÷ (19-6)!6! = 19! ÷ 13! • 6!

19 • 18 • 17 • 16 • 15 • 14 ÷ 6 • 5 • 4 • 3 • 2

= 27132 different combinations of the 6 books.

If you use a calculator, find nCr, plug in 19 for n, and 6 for r.

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3 years ago

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Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at

Marianna [84]

Answer:

Meth Barie's ice cream shop should not introduce the new ice cream flavor.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 4.01

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Sample size, n = 15

Alpha, α = 0.1

Sample standard deviation, s = 1.6 minutes

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 4.01\\H_A: \mu > 4.01$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{4.4 - 4.0}{\frac{1.6}{\sqrt{15}} } = 0.968$

Option B) 0.968

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Now, $t_{critical} \text{ at 0.10 level of significance, 9 degree of freedom } = 1.345$

So the rejection region would be a value of t-statistic greater than 1.345.

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3 years ago

Yuri purchased 8 trees to have planted at his house. The store charged a delivery fee of $5 per tree.

cestrela7 [59]

Answer:

$16.

Step-by-step explanation:

Let t represent the cost of each tree.

We have been given that Yuri purchased 8 trees to have planted at his house. So the cost of 8 trees will be 8t.

We are also told that the store charged a delivery fee of $5 per tree. So the delivery charges of 8 trees will be $8\times \$5=\$40$

The total cost of purchasing 8 trees will be $8t+40$ .

Since the total cost of the trees including the delivery was $168, so we can get an equation as:

$8t+40=168$

$8t+40-40=168-40$

$8t=128$

Upon dividing both sides of our given equation by 8, we will get:

$\frac{8t}{8}=\frac{128}{8}$

$t=16$

Therefore, the cost of each tree is $16.

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3 years ago

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3 years ago

Of 19 possible​ books, you plan to take 6 with you on vacation. How many different collections of 6 books can you​ take?

Of 19 possible books, you plan to take 6 with you on vacation. How many different collections of 6 books can you take?