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Inga [223]
1 year ago
7

you draw two marbles without replacement from a bag containing four red marbles, two Yellow Marbles and five blue marbles, find

the number of possible outcomes
Mathematics
1 answer:
AleksAgata [21]1 year ago
7 0

A bag contains four red marbles, two Yellow Marbles and five blue marbles.

Two marbles are drawn at random without replacement.

Total number of marbles are,

4\text{ + 2 + 5 = 11}

There are 11 ways to select first marble and 10 ways to select second marble.

The total number of possible outcomes are calculated as,

Total\text{ number of outcomes = 11 }\times\text{ 10 = 110 }

Thus the total number of possible outcomes are 110.

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What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12
Lilit [14]

Remark

A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.


Step One

Find the surface area of the larger cube.

Area = 6 *s^2

s = 15

Area = 6 *15^2

Area = 6 * 225

Area = 1350


Step Two

Find the area of the smaller cube

Area = 6s^2

Area = 6 * 12^2

Area = 6 * 144

Area = 864


Step Three

Find the difference

Area1 - Area2 = difference

1350 - 864 = 486

The difference is area = 486 units^2 <<<<< Answer


There is a slightly shorter way. Take out the common factor of 6

Difference = 6 * (15^2 - 12^2)

Difference = 6 * (225 - 144)

Difference = 6 * (81)

Difference = 486

6 0
3 years ago
Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-co
jeyben [28]

Answer:

The value of the y-coordinate is -706

Step-by-step explanation:

The equation of a straight line is;

y = mx + c

where m is slope and c is t-intercept

Given the slope, we can write the equation as;

y = -79x + c

we need to get c

Just put in the x and y values of the given point

X = -6 and y = 5

5 = -79(-6) + c

5 = 474 + c

c = 5-474 = -469

So the complete equation of the line would

be ;

y = -79x - 469

To get the y-coordinate of the point, just insert the x value into the equation;

y = -79(3) - 469

y = -237 - 469 = -706

4 0
3 years ago
An elephant can run one over four mile in 36 seconds. Which of the following correctly shows this rate as miles per hour?
Ainat [17]

Answer:

C. One-fourth mile over thirty-six seconds = 25 miles per hour.

We have been given that an elephant can run one over four of a mile in 36 seconds.

To find elephant's rate in miles per hour, we will convert our given time in hours as shown below:

Therefore, option C is the correct choice.

Step-by-step explanation:

  • 144
7 0
3 years ago
Read 2 more answers
What is 7 to the fourth power
Snezhnost [94]
7×7×7×7 = 7^4 = 2,401
4 0
3 years ago
Read 2 more answers
Sam earned $40 on his investment of $400. He earned 5% interest on his investment. How long did Sam leave his money in the bank?
gogolik [260]

Answer:

2yrs

Step-by-step explanation:

Given parameters:

Amount of interest earned  = $40

Principal  = $400

Interest rate  = 5%

Unknown:

Time taken for the money to be in bank = ?

Solution:

   The formula for interest is given as:

         I = \frac{PRT}{100}  

    Where I is the interest

              P is the principal

               R is the rate

               T is the time

    So;

    100I  = PRT

       T  = \frac{100I }{PR}   = \frac{100 x 40}{400 x 5}  = 2yrs

8 0
2 years ago
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