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lilavasa [31]
3 years ago
8

Elizabeth brought a box of donuts to share. There are two-dozen (24) donuts in the box, all identical in size, shape, and color.

Two are jelly-filled, 6 are lemon-filled,
and 16 are custard-filled. You randomly select one donut, eat it, and select another donut. Find the probability of selecting a jelly-filled donut followed by a lemon-filled
donut.
(Type an integer or a simplified fraction.)
Mathematics
1 answer:
Svetllana [295]3 years ago
6 0

Step-by-step explanation:

P(A) = 5/24

P(B|A) = 5/23

(5/24)(5/23) = 25/552

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Fiona wants 6 red, 3 green and 3 yellow buttons on her dress. All buttons must be placed along a straight vertical line with no
elixir [45]

The appropriate method to use in solving the given question is permutation. Then, the numbers of ways to arrange the buttons is 1320 ways.

In the given question, the order of arrangement is important, so that the number of ways that Fiona could order the buttons can be determined by permutation method.

i.e _{n}P_{r} = \frac{n!}{(n - r)!}

Red      6

Green   3

Yellow  3

Total     12

Since no two neighbouring buttons of the same colour is allowed, then 3 buttons would be arranged at a time.

Thus, n = 12 and r = 3;

_{12}P_{3} = \frac{12!}{(12 - 3)!}

      = \frac{12!}{9!}

      = \frac{12*11*10*9!}{9!}

      = 12 x 11 x 10

_{12}P_{3} = 1320

Therefore the buttons can be arranged in 1320 ways without two neighbors having the same colour.

Visit: brainly.com/question/1408616

3 0
3 years ago
Read 2 more answers
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from h
katovenus [111]

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 \times1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

To know more about distance visit : brainly.com/question/17273444

7 0
2 years ago
A book costs $4.75 plus sales tax. After sales tax, the book is $5.13. What is the approximate sales tax rate?
maria [59]

Answer:

Step-by-step explanation:

5.13 - 4.75 = 0.38

4.75 / 0.38 = 12.5

6 0
3 years ago
Are these ratios equivalent?
Debora [2.8K]
<h3>Answer:  Yes</h3>

========================================================

Explanation

The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.

The ratio 16:20 simplifies to 4:5 when you divide both parts by 4

Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.

------------

Put another way,

(8 large)/(10 small) = (16 large)/(20 small)

8/10 = 16/20

8*20 = 10*16 ... cross multiply

160 = 160

We get a true equation, so the first equation is true as well.

This shows the ratios are equivalent.

-------------

Or you could have...

(8 large)/(16 large) = (10 small)/(20 small)

8/16 = 10/20

8*20 = 16*10

160 = 160

We get the same conclusion as before.

3 0
3 years ago
Gross Pay: 28.75
jarptica [38.1K]

Answer:

No, you would multiply by 1.15

Step-by-step explanation:

A percentage goes by 'Hundreths' or .01

So 15% would be .15

We don't want to lose money along the way so we add a 1 it so it goes up for the total, like this:

28.75 * 1.15 = 33.1

5 0
3 years ago
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