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Lena [83]
4 years ago
11

What is the probability that a marble chosen at random is

Mathematics
2 answers:
Rufina [12.5K]4 years ago
5 0

Answer:

6/11

Step-by-step explanation:

Ed2020

Brums [2.3K]4 years ago
4 0

Answer:

P=\frac{6}{11}

Step-by-step explanation:

The probability can be defined as the ratio between the possible events and the total number of outcomes.

In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.

Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.

Therefore, the probability is

P=\frac{6}{11}

The right answer is the last choice.

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The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?
denis23 [38]
The perimeter of any figure, is all its sides summed up

now, notice the picture below, using the 30-60-90 rule, that's "x"

now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter

5 0
3 years ago
Read 2 more answers
PLEASE HELP
Neko [114]

Answer:

55.5 square feet

Step-by-step explanation:

so the dog house consists of 4 walls, two roof sections, and two triangle bits to make the roof pointy (I'm sure they have a name but I don't know what it is lol) Of the walls there would be 2 of the longer walls and 2 of the shorther ones. Knowing this we just have to add together the area of each part to find the total surface area.

So starting with the walls:

two of them are 4 feet by 2 feet.

The area of a rectangle is just length x width

so those two would have an area of 8 ft^2

and the other two are 3 feet by 2 feet so they would have an area of 6 ft^2

the roof sections are also rectangles with dimensions of 4 feet by 2.5 feet

4x2.5=10 so each side of the roof has a surface area of 10 ft^2

now the triangle parts have a base of 3 feet and a height of 2.5 feet

the formula for area of a triangle is base x height / 2

3x2.5=7.5

7.5/2= 3.75

now we add them together

8+8+6+6+10+10+3.75+3.75=55.5

so the total surface area is 55.5 square ft

8 0
3 years ago
Write the equation of a line that passes through the points (-1, -4) and (1, 3).
Elan Coil [88]

Answer:

y=3.5x-.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Simplify the following polynomial expression​
Juli2301 [7.4K]

Distribute the negative sign

7x^2-3x-6

Combine like terms

-9x^2 + 7x^2 = -2x^2

9x - 3x = 6x

13 - 6 = 7

-2x^2 +6x + 7

<u>Answer</u>

-2x^2 +6x + 7

3 0
4 years ago
Solve the system of equations by graphing. x+y=-9 4x+y=-19
shutvik [7]

For this case we have the following system of equations:

x + y = -9\\4x + y = -19

We multiply the first equation by -4:

-4x-4y = 36

We have the following equivalent system of equations:

-4x-4y = 36\\4x + y = -19

We add the equations:

-4x + 4x-4y + y = 36-19\\-3y = 17\\y = - \frac {17} {3}

We find the value of the variable "x":

x = -9-yx = -9 - (- \frac {17} {3})\\x = -9 + \frac {17} {3}\\x = \frac {-27 + 17} {3}\\x = - \frac {10} {3}

Thus, the solution of the system is:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

ANswer:

(x, y): (- \frac {10} {3}, - \frac {17} {3})

See the graphic in the attached image

4 0
4 years ago
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