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3 years ago

You roll a 6-sided die with faces numbered 1 through 6, and toss a coin. What is the probability of rolling a 2 or getting heads

Mathematics

1 answer:

tino4ka555 [31]3 years ago

5 0

P(2 or H) = P(2) + P(H) - P(2 and H)

What is the probability of getting a 2 P(2)? = 1/6

What is the probability of getting heads P(H)? = 1/2

P(2 and H) is the product of those two events since the events are independent. = 1/6 * 1/2 = 1/12

P(2 or H) = P(2) + P(H) - P(2 and H)

P(2 or H) = 1/6 + 1/2 - 1/12 = 7/12

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The length of a table is 6 feet. On a scale drawing, the length is 2 inches. Write three possible scales for the drawing.

Rus_ich [418]

A possible scale for the drawing can be
1 inches : 3 feet.
2 inches : 6 feet
or 3 inches to 9 feet
or 0.5 inches to 1.5 feet.

Hope this helps :)

6 0

3 years ago

4(n-1)+2 = -23 +7n

liubo4ka [24]

Answer:

Step-by-step explanation:

4(n-1)+2 = -23 +7n

=> 4n - 4 + 2 = - 23 + 7n

=> 23 - 4 + 2 = 7n - 4n

=> 21 = 3n

$= > n = \frac{21}{3}$

=> n = 7 (Ans)

6 0

3 years ago

Please help. It’s a picture

Korolek [52]

$260

I don’t know what model/formula you are supposed to be using.

But what I did first was calculated what 30% of 2700$ is.
2700 x .3 = 810

So it depreciates $810 per year.

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In three years, the laptop will be worth $260

6 0

3 years ago

The equation of a parabola is y=x^2-10x+27. Write the equation in vertex form

azamat

Answer:

$\large \boxed{y = (x - 5)^{2} + 2 }$

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

$\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}$ The figure below shows that your parabola has its vertex at (5,2).

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3 years ago

What’s the equation for the two points (19, 3) and (20,3)

Orlov [11]

Answer:

Equation of line passing through point A = ( 19 , 3 ) , and point B = ( 20 , 3 ) is

y−3=0

Equation of line passing through point A = ( 19 , 3 ) , and point B = ( 29 , 3 ) is

y=0x+3

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3 years ago