Which expression is equivalent to 9-2? -81 -18

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

5 0

Are those the only answer choices?

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1. A weighted coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 4 times, what is the pr

ohaa [14]

Answer:

80/81

Step-by-step explanation:

If a head is twice as likely to occur as a tail, then the probability of getting heads is 2/3 and the probability of getting tails is 1/3.

The probability of getting at least 1 head involves 4 scenarios:

1) 1 Head and 3 Tails

2) 2 Heads and 2 Tails

3) 3 Heads and 1 Tail

4) 4 Heads

Instead of calculate all these scenarios, you could calculate the opposite scenario: 4 Tails. The sum of all possible scenarios is 1, so:

P(at least one head) + P(no heads) = 1

Then, P(at least one head) = 1 - P(no heads)

The probability of 4 tails is:

P(no heads) = P(TTTT) = (1/3)(1/3)(1/3)(1/3)=1/81

Then, P(at least one head) = 1 - 1/81=80/81

7 0

3 years ago

6. The following graph can be described using an equation of the form y = A cos(x)+C. Determine the

liraira [26]

Answer:

A = 7 and C = 2

Step-by-step explanation:

the constant C represents the average value of the wave. To find its value, we need to calculate the average between the y-coordinates of the highest and the lowest point.

The highest point has y = 9, and the lowest point has y = -5, so we have:

C = (9 - 5)/2 = 4/2 = 2

The value of A represents the increase in the amplitude of the wave.

For A = 1, the amplitude is 2 (lowest point = average - 1, highest point = average + 1)

So, in this case, the amplitude is the difference in the y-coordinates of the highest and the lowest point, and A is equal half the amplitude:

A = (9 - (-5)) / 2 = (9 + 5)/2 = 14/2 = 7

3 0

3 years ago

The ordered pairs (0, -2), (1, 1), (2, 4), (3, 7), and (4, 10) represent a function. What is a rule that represents this functi

fiasKO [112]

I just started doing function in my Algebra class. So what I was taught was there can't be more than 1 output aka "y" for one input aka "x".

So with the ordered pairs you have above is a function because there's only 1 output coming out. I have a picture showing why. It's labeled a purple one.
You know a graph or anything is not a function because it has more than 1 output which is not okay. For example: (1,6), (5,3), (2,9), and (1, 7) Now you notice that I have two coordinate pairs that have x for 1 and y for 6 and 7. I have another picture showing a example of a non-function.