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Oduvanchick [21]
3 years ago
9

There are 4 green marbles, 5 red marbles, and 6 blue marbles in a bag. Find the probability of drawing a red marble, replacing i

t back in the bag, and then drawing a second red marble *
Mathematics
1 answer:
Lynna [10]3 years ago
3 0

Answer:

1/9

Step-by-step explanation:

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P(red)= number of red/ total = 5/15 = 1/3

Put it back in the bag

4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles

P (red)= number of red/ total = 5/15 = 1/3

P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9

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How to find the area of this figure
stiv31 [10]

Answer:

45 square units.

Step-by-step explanation:

Applying the pythagoras theorem:

Base of the bigger triangle = \sqrt{15^2 - 9^2} = \sqrt{144} = 12 units

Area of a triangle is given by \frac{1}{2} × base × height

The area of the bigger triangle is  \frac{1}{2} × 12 × 9 = 54 square units.

The area of the smallest triangle is  \frac{1}{2} × (12 - 10) × 9 = 9 square units.

The area of the figure( required triangle) is 54 - 9 = 45 square units.

3 0
2 years ago
If 19 represents 228 gallons, what is the value of 6 units
levacccp [35]

Answer:

72 gallons

Step-by-step explanation:

we know that

19 units represent 228 gallons

so

using proportion

Find out how many gallons represent 6 units

Let

x ---> the number of gallons for 6 units

\frac{228}{19}\ \frac{gallons}{units} =\frac{x}{6}\ \frac{gallons}{units}\\\\x=228(6)/19\\\\x=72\ gallons

7 0
3 years ago
1/6 + 3/8 <br> A. 4/6<br> B. 4/8 <br> C. 4/14<br> D. 13/24
Naddika [18.5K]

Here is you're answer:

In order to get you're answer you need to find the common denominator then add.

  • \frac{1}{6} + \frac{3}{8}
  • Find the common denominator:
  • CD = 48
  • = \frac{26}{48}
  • Simplify:
  • \frac{26}{48} \div 2 = \frac{13}{24}
  • = \frac{13}{24}

Therefore you're answer is option D "13/24."

Hope this helps!

8 0
2 years ago
HELP ASAP PLEASE
Roman55 [17]

Answer:

a. median is 8

b. first quartile is 7

c. third quartile is 9.5

d. below

e. below

Step-by-step explanation:

7, 10, 10, 6, 7, 8, 8, 7, 9.

Place number in order least to greatest

6, 7, 7, 7, 8, 8, 9, 10, 10

a. What is the median?

The median is the middle number in a data set

number of terms in data set (n) + 1 / 2 =

9 + 1 / 2 = 10 / 2

<u>6, 7, 7, 7,</u> 8, <u>8, 9, 10, 10</u>

The median is 8

b. What is the first quartile?

Q1 is the central point between the smallest score and the median

<u>6,</u> 7, 7<u>, 7 </u>

since there is even number of data points you find the average,

7 + 7 / 2 = 14 / 2 = 7

c. What is the third quartile?

Q3 is the central point between the median and the largest score

<u>8</u>, 9, 10, <u>10</u>

since there is even number of data points you find the average,

9 + 10 / 2 = 19 / 2 = 9.5

d. Draw a box plot of the data.

below

e. Write two conclusions about the data shown in the box plot.

There are no outliers with a minimum of 6 and a maximum of 10. The Interquartile Range is 2.5 (9.5 - 7)

3 0
2 years ago
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions o
Dahasolnce [82]

Answer:

13640cubicmeter........

6 0
2 years ago
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