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mart [117]
2 years ago
13

About 10% of 6600 commuters carpool to work. Find the number of commuters who carpool How many commuters carpool?​

Mathematics
1 answer:
nignag [31]2 years ago
7 0

Answer:

  • 660

Step-by-step explanation:

10% of 6600

6600*10/100 = 660

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Box A contains 1 black and 3 white marbles, and box B contains 2 black and 4 white marbles. A box is selected at random, then a
Anna11 [10]

Answer: Probability that Box A was chosen given that black marble is chosen is 0.5.

Step-by-step explanation:

Since we have given that

Number of boxes = 2

In Box A,

Number of black marbles = 1

Number of white marbles = 3

In Box B,

Number of black marbles = 2

Number of white marbles = 4

Since black marble is selected.

So, using Bayes theorem , we get that

P(E_1|B)}=\dfrac{P(E_1).P(B|E_1)}{P(E_1).P(B|E_1)+P(E_2).P(E_2|B)}\\\\P(E_1|B)=\dfrac{0.5\times \dfrac{1}{3}}{0.5\dfrac{1}{3}+0.5\times \dfrac{2}{6}}\\\\P(E_1|B)}=\dfrac{0.167}{0.167+0.167}\\\\P(E_1|B)}=0.5

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.

3 0
2 years ago
Choose all the numbers that are common multiples of 3 and 12.
spayn [35]
<h3>Answers: 48 and 72</h3>

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

Explanation:

The number 12 is a multiple of 3 because 3*4 = 12.

So when looking for common multiples of 3 and 12, we simply need to look at multiples of 12.

The multiples of 12 are:

  • 12, 24, 36, 48, 60, 72, 84, 96, 120, ...

We see that 48 and 72 are on the list. The values 21, 27, 63, 81 are not on the list, so cross them out.

Now we could keep that list of multiples going to see if 844 is on there or not. A better method is to divide 844 over 12. If we get a whole number, then it's a multiple of 12.

844/12 = 70.333 approximately.

This shows that 844 is <u>not</u> a multiple of 12. So we cross 844 from the list.

Only 48 and 72 are multiples of 12 (and also multiples of 3).

6 0
2 years ago
Which of the following expressions is equivalent to?
gayaneshka [121]

Answer:  

It's the last choice:  2x^2 - 5x - 8 - 37/(x - 5).

Step-by-step explanation:

Long division:

        2x^2 - 5x -8    <---------------Quotient

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

x - 5 ) 2x^3 - 15x^2 + 17x + 3

          2x^3 - 10x^2

                     - 5x^2 + 17x

                     - 5x^2  + 25x

                                   - 8x + 3

                                   - 8x + 40

                                           -37 <------ Remainder.

7 0
2 years ago
SOMEONE PLEASE HELP ME BEFORE I FAIL
Viefleur [7K]

Answer:

4/40

Step-by-step explanation:

you can reduce this to 1/10

multiplying 4 by both 1 and 10 will give you the fraction 4/40 both can be divided by 4 and that's how it can reduce to the 1st fraction (1/10)

8 0
2 years ago
Does it help to remember and/or list out your square roots
ololo11 [35]
It is a good thing to remember. Of course, not all, but some basic numbers that appear all the time such as the numbers from 2 to 13 should be remembered as they appear in numerous assignments and tests.
6 0
3 years ago
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