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gavmur [86]
3 years ago
15

Suppose we roll a die and let A be the event that the number of spots showing on the die is 6.

Mathematics
1 answer:
gregori [183]3 years ago
3 0

Answer:

P(A and B) = (1/12)

Step-by-step explanation:

The two events described (rolling a die & getting a 6 and tossing a coin & the coin comes up heads), are independent events. The chances of one occurring doesn't affect/depend on the chances of the other happening.

And for independent events, mathematically, P(A and B) = P(A n B) = P(A) × P(B)

P(A) = (1/6)

P(B) = (1/2)

(We've assumed the die and the coin are fair; each sample point with an equal probability of occurring)

P(A and B) = (1/6) × (1/2) = (1/12)

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2 years ago
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Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used.
muminat

Answer:

1. 12x^2-13.4x-11

- Degree: 2

- Number of terms: 3

2. 7x^3+168

 - Degree: 3

- Number of terms: 2

3. 9x^4-9

- Degree: 4

- Number of terms: 2

Step-by-step explanation:

For this exercise you need to remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

1. Given:

(4x + 2.2)(3x - 5)

Apply the Distributive property:

=12x^2+6.6x-20x-11

Add the like terms:

=12x^2-13.4x-11

You can idenfity that:

- Degree: 2

- Number of terms: 3

2. Given:

(-304 +503 - 12) + (7x^3 - 25 + 6)

Add the like terms:

=187 + 7x^3 - 25 + 6=7x^3+168

You can idenfity that:

- Degree: 3

- Number of terms: 2

3. Given:

(3x^2 - 3)(3x^2 + 3)

Apply Distributive property:

=9x^4-9x^2+9x^2-9

Add the like terms:

=9x^4-9

You can idenfity that:

- Degree: 4

- Number of terms: 2

8 0
3 years ago
A class is made up of 10 boys and 4 girls. Half of the girls wear glasses. A student is selected at random from the class what i
ZanzabumX [31]

Answer:

2/14 or 1/7

Step-by-step explanation:

Half the girls where glasses so 2 girls.

there are only 2 girls that wear glasses out of all the 14

so the answer is 2/14

8 0
3 years ago
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What percent of 80 is 25
JulsSmile [24]

Answer: 31.25%

Step-by-step explanation: To answer the question <em>what percent of 80 is 25</em>, we translate the question into an equation.

So we have "what percent" that's x, "of 80" means times 80, "is 25" = 25.

Now to solve for <em>x</em>, since <em>x</em> is being multiplied by 80, we need to divide by 80 on both sides of the equation. On the left side of the equation the 80's cancel and we have <em>x</em> and on the right side of the equation, we have 25 ÷ 80 which gives us 0<em>.</em>3125. Now, remember that we want to right our answer as a percent so to write 0.3125 as a percent, we move the decimal point 2 places to the right and we get 31.25%.

Therefore, 31.25% of 80 is 25.

8 0
3 years ago
A rectangle has a width of 10 centimeters. The rectangles length is 4 times it’s width what is the perimeter of the rectangle
DiKsa [7]

Answer:

40

Step-by-step explanation:

the length would be 40 because four tens equals 40.

4 0
3 years ago
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