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3 years ago

A chef has 10 spice jars, but his new spice rack only holds 8 spice jars.

1 answer:

5 0

This is a statistics problem on permutation and combination. To differentiate this, permutation involves on the arrangement in which order doesn't matter. For combination, order matters.

For example, if you arrange A, B and C, for permutation it could be AB, BA, CA, AC, BC and CB. But for combination, it would just be AB, AC and BC.

So, in this problem where he is asked to arrange 8 jars in which order doesn't matter. It is permutation. You can solve this just by calculator. The formula would be nPr, where n is the total number of items while r is the number of items to be sorted. Thus,

nPr = 10P8 = 1, 814,400

Thus, the answer is B.

You might be interested in

The sum of 3 times a number and 5 is 2 times the number plus 15. what is half the number?

saul85 [17]

Define x:
Let the sum be x

Construct the equation:
<span>The sum of 3 times a number and 5 is 2 times the number plus 15.
</span>→ 3x + 5 = 2x + 15

Solve x:
3x + 5 = 2x + 15 | Equation
x + 5 = 15 | Take away 2x from both sides
x = 10 | Take away 5 from both sides

Answer: The number is 10.

5 0

3 years ago

Find the mean of each data set.<br> 1.9, 10, 11, 16, 12, 12,14

igor_vitrenko [27]

Answer:

Add all the values up and divide by 7 ( as there are 7 values in the data set)

Step-by-step explanation:

1.9 + 10 + 11 + 16 + 12 + 12 + 14 = 76.9

If you divide by 7, you will get 10.9857142857.

6 0

3 years ago

Read 2 more answers

Question 1 help pls

Evgesh-ka [11]

Answer:

y = - $\frac{1}{2}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = $\frac{0-2}{4-0}$ = $\frac{-2}{4}$ = - $\frac{1}{2}$

note the line crosses the y- axis at (0, 2) ⇒ c = 2

y = - $\frac{1}{2}$ x + 2 ← equation of line

4 0

3 years ago

If f(x) = (x3 + 25), find the inverse of f.

irakobra [83]

Answer:

Dear user,

Answer to your query is provided below

Inverse is 3√(x-25)

Step-by-step explanation:

Explanation of the same is attached in image

3 0

3 years ago

11) A 12-sided dic is rolled. What is the probability of getting a multiple of 3 or a number less than 3?

dmitriy555 [2]

Answer:

6/12

1/2

Step-by-step explanation:

First, we need to find how many multiples of three there are, and how many numbers less than three there are on a 12 sided die.

Multiples of 3: 3, 6, 9 ,12

Less than 3: 2, 1

When calculating the probability of rolling a number, the actual number is arbitrary- instead, you need to know how many of numbers exist to fit the requirements. In this case, it's 6 total. Since there's 12 possibilities on a 12 sided die, the probability would be 6 out of 12. You could also simplify the fraction, but both are equivalent.

I hope this helps!

8 0

3 years ago