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denpristay [2]
3 years ago
14

Question 15 of 43

Mathematics
1 answer:
Andrews [41]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

\frac{12}{25}  \times  \frac{11}{24}  \times  \frac{10}{23} \times  \frac{9}{22}

we start with 12 red marbles out of 25 marbles, that's the probability for the first.

in the second step we have one red marble less, wich also means one marble less overall

and so on

\frac{12 \times 11 \times 10 \times 9}{25 \times 24 \times 23 \times 22}

=  \frac{11880}{303600}

can be reduced by 1320 (step by step) to

\frac{9}{230}

You might be interested in
How do you factor 7+14
mote1985 [20]

You could factor a 7 out of 7 + 14 to get 7(1 + 2).

This would equal the same thing as 7 + 14, which is 21.

7 * 3 = 21.

21 can be factored like so:

1 * 21 = 21

3 * 7 = 21


5 0
3 years ago
Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a red mar
swat32

Assuming that each marble can be picked with equal probability, we notice that there is a total of

4+2+5+1+7 = 19

marbles, of which 2 are red.

So, the probability of picking a red marble is

\dfrac{2}{19}

In fact, as in any other case of (finite) equidistribution, we used the formula

P(\text{event}) = \dfrac{\text{number of favourable cases}}{\text{number of all possible cases}}

4 0
3 years ago
A sports stadium has 10000 seats, divided into box seats, lower-deck seats, and upper-devk seats. Box seats sell for 10 dollars,
lesantik [10]

Answer:

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

Step-by-step explanation:

Let number of box seats = x

Let number of lower deck seats = y

Let number of upper deck seats = z

As per question statement:

x+y+z=10000 ...... (1)

Cost for box seat = $10

Cost for x box seats = 10x

Cost for lower deck seat = $8

Cost for y lower deck seats = 8y

Cost for lower deck seat = $5

Cost for z lower deck seats = 5z

As per question statement:

10x+8y+5z=70000 ..... (2)

z = 4x ..... (3)

Putting value of y in (1) and (2):

x+y+4x=10000\\\Rightarrow 5x+y=10000 ....... (4)

10x+8 y+5\times 4x=70000\\\Rightarrow 30x+8y=70000 ..... (5)

8 \times (4) - (5):

10x =10000

\Rightarrow x = 1000

By (3):

z = 4000

Now, by equation (1):

y = 5000

Number of box seats = 1000

Number of lower deck seats = 5000

Number of upper deck seats = 4000

6 0
3 years ago
10 points! How do I factor 8x^2-26x+15
Rufina [12.5K]
<h3><u>(2x - 5)(4x - 3)</u></h3>

The AC method, also known as splitting the middle, can be shown like this:

8x^2 - 26x + 15

<em><u>Check factors of 120.</u></em>

1 * 120

-1 * -120

2 * 60

-2 * -60

3 * 40

-3 * -40

5 * 24

-5 * -24

6 * 20

-6 * -20 (these factors, when added together, are equal to the middle term, and thus splitting the middle term is possible.)

<em><u>Split the middle term.</u></em>

8x^2 - 6x - 20x + 15

<em><u>Group in terms of 2.</u></em>

(8x^2 - 6x) - (20x + 15)

<em><u>Factor each binomial.</u></em>

2x(4x - 3) - 5(4x - 3)

<em><u>Rearrange the terms.</u></em>

(2x - 5)(4x - 3)

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME!!!!<br><br> Find the volume of this sphere.<br> Use 3 for pi.
AlekseyPX

Answer:

904cm3 just use an online sphere calculator they're easy to use

4 0
2 years ago
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