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sweet [91]
3 years ago
6

There are 3 green balls, 5 red balls, and 2 blue balls in a box. One ball is randomly drawn, replaced and then another ball is d

rawn. What is the probability of getting a green ball then a blue ball? a. 1/15 b. ½ c. 3/100 d. 3/50 (show your work please)

Mathematics
2 answers:
irina [24]3 years ago
5 0
The answer is d. 3/50.

Andre45 [30]3 years ago
4 0

Answer:

Option d. 3/50 is the correct option.

Step-by-step explanation:

Total number of balls given in a box is 10. Out of which different balls are

Green = 3, Red balls = 5, Blue = 2.

One ball was randomly drawn so probability of getting a green ball will be = 3/10

Now the ball was replaced so total number of balls remains the same

Then the probability of getting a blue will be = 2/10

Therefore the probability of both the events simultaneously = (3/10)×(2/10)=6/100 = 3/50

Option d. 3/50 is the answer.

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The legs of the isosceles triangle each measure 14 inches. calculate the length of the hypotenuse
Evgen [1.6K]

Answer:

I'm guessing you are talking about an isosceles RIGHT triangle.

In such a triangle, the length of the hypotenuse equals the length of either leg times the square root of 2.

hypotenuse = 14 * square root of 2 =

14 * 1.4142135623731  = 19.79898987322330

or rounding that equals 19.80 inches

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Which best explains what determines whether a number is irrational?​
AleksandrR [38]
You can determine if a number is rational if it can be represented as a terminating or repeated decimal, but if it can not, then the number is irrational.
8 0
3 years ago
3x + 3<br> X + 8<br> What is the perimeter of each polygon?
Ganezh [65]

Answer:

D. 60

Step-by-step explanation:

4(3x + 3) = 5(x + 8)       12(4) + 12         5(4) + 40

12x + 12 = 5x + 40        48 + 12               20 + 40

-5x          -5x                   60                        60

7x + 12 = 40

 -12        -12

7x = 28

x = 4

6 0
3 years ago
A plant grew 3 1/4 inches over a 6 1/2 month period.what was the average monthly growth rate for the plant
Solnce55 [7]

Answer:

0.5 inches per a month

Step-by-step explanation:

you turn them to a decimal to make them easier and then divide them to get the answer.

5 0
3 years ago
2. In how many ways can 3 different novels, 2 different mathematics books and 5 different chemistry books be arranged on a books
insens350 [35]

The number of ways of the books can be arranged are illustrations of permutations.

  • When the books are arranged in any order, the number of arrangements is 3628800
  • When the mathematics book must not be together, the number of arrangements is 2903040
  • When the novels must be together, and the chemistry books must be together, the number of arrangements is 17280
  • When the mathematics books must be together, and the novels must not be together, the number of arrangements is 302400

The given parameters are:

\mathbf{Novels = 3}

\mathbf{Mathematics = 2}

\mathbf{Chemistry = 5}

<u />

<u>(a) The books in any order</u>

First, we calculate the total number of books

\mathbf{n = Novels + Mathematics + Chemistry}

\mathbf{n = 3 + 2 +  5}

\mathbf{n = 10}

The number of arrangement is n!:

So, we have:

\mathbf{n! = 10!}

\mathbf{n! = 3628800}

<u>(b) The mathematics book, not together</u>

There are 2 mathematics books.

If the mathematics books, must be together

The number of arrangements is:

\mathbf{Maths\ together = 2 \times 9!}

Using the complement rule, we have:

\mathbf{Maths\ not\ together = Total - Maths\ together}

This gives

\mathbf{Maths\ not\ together = 3628800 - 2 \times 9!}

\mathbf{Maths\ not\ together = 2903040}

<u>(c) The novels must be together and the chemistry books, together</u>

We have:

\mathbf{Novels = 3}

\mathbf{Chemistry = 5}

First, arrange the novels in:

\mathbf{Novels = 3!\ ways}

Next, arrange the chemistry books in:

\mathbf{Chemistry = 5!\ ways}

Now, the 5 chemistry books will be taken as 1; the novels will also be taken as 1.

Literally, the number of books now is:

\mathbf{n =Mathematics + 1 + 1}

\mathbf{n =2 + 1 + 1}

\mathbf{n =4}

So, the number of arrangements is:

\mathbf{Arrangements = n! \times 3! \times 5!}

\mathbf{Arrangements = 4! \times 3! \times 5!}

\mathbf{Arrangements = 17280}

<u>(d) The mathematics must be together and the chemistry books, not together</u>

We have:

\mathbf{Mathematics = 2}

\mathbf{Novels = 3}

\mathbf{Chemistry = 5}

First, arrange the mathematics in:

\mathbf{Mathematics = 2!}

Literally, the number of chemistry and mathematics now is:

\mathbf{n =Chemistry + 1}

\mathbf{n =5 + 1}

\mathbf{n =6}

So, the number of arrangements of these books is:

\mathbf{Arrangements = n! \times 2!}

\mathbf{Arrangements = 6! \times 2!}

Now, there are 7 spaces between the chemistry and mathematics books.

For the 3 novels not to be together, the number of arrangement is:

\mathbf{Arrangements = ^7P_3}

So, the total arrangement is:

\mathbf{Total = 6! \times 2!\times ^7P_3}

\mathbf{Total = 6! \times 2!\times 210}

\mathbf{Total = 302400}

Read more about permutations at:

brainly.com/question/1216161

8 0
2 years ago
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