Which parent function is represented by the table?

If I toss a fair coin in real life and I get two heads in a row, does that change the probability of getting one tail in every t

stepladder [879]

Getting two heads in a row does not change the probability of getting a tail. There is a 50/50 chance for both heads and tails each time you flip a coin, because there are two possibilities each equally possible. The 50% probability of getting a tails is not a guarantee. It's possible to get more heads than tails, or vice versa. What the probability means is that on average the results are about equal, and you have an equal likelihood of getting either result.

Mythbusters has an episode on this, actually. They explain it really well. I recommend you watch it.

7 0

3 years ago

What is the length of the indicated arc?

Ksivusya [100]

Answer:

E. None of the above

Step-by-step explanation:

Arc length = radius • angle in radians

30 deg = 0.523599 rad

L = 12 • 0.523599 = 6.28319

2π = 6.28319

Answer is E. None of the above

6 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol

never [62]

Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

To convert it into vertex form, we are going to be completing the square. Firstly, subtract 56 on both sides: $y-56=2x^2-32x$

Next, factor out the GCF, or greatest common factor, of the right side. To find the GCF, list the factors of both terms and the greatest one they share is their GCF. In this case, the GCF is 2: $y-56=2(x^2-16x)$

Next, we want to make what's inside the parentheses a perfect square. To find the constant of the perfect square, divide the x term by 2 and square the quotient. In this case:

-16 ÷ 2 = -8, (-8)² = 64

So you're gonna have to add 64 to the inside of the parentheses. To cancel this out, you will need to add to the other side the product of 64 and 2 (since 64 is inside the parentheses), which is 128: $y+72=2(x^2-16x+64)$