Answer:
x ≠ 4 or -2
Step-by-step explanation:
the denominator cannot be zero, so factor the bottom equation to get the zeros and those are the domain restrictions.
3x^2 - 6x - 24 ≠ 0
3(x^2 - 2x - 8) ≠ 0 (factor out a 3)
3(x - 4)(x + 2) ≠ 0 (factor equation)
x ≠ 4, x ≠ -2 (use zero product property to find zeros)
Answer:
∠JKH and ∠GHF
Step-by-step explanation:
<em>hey there,</em>
<em />
< Corresponding means "the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal." The lines here are parallel so they are equal.
If you don't understand the meaning of the angles also, feel free to ask me about that too.
The two angles I listed are equal to equal to each other. When you look at the other options, they aren't equal, they might look less or more degrees.
If this won't be a multiple choice but short answer, try looking at angles that look similar and see if they would be able to match with the angle given. >
<u>Hope this helps! Feel free to ask anything else.</u>
Answer:
212
Step-by-step explanation:
13 * 17 = 221
221- 9 = 212
Answer:
3
Step-by-step explanation:
The slope is 3 because the equation is y=mx+b. If you add in the terms m=3 and b=0. It is y=3x. M is the slope, so the slope is 3!
Answer:
4.39% theoretical probability of this happening
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
Theoretically, a fair coin
Equally as likely to land on heads or tails, so ![p = \frac{1}{2} = 0.5](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%3D%200.5)
10 coins:
This means that ![n = 10](https://tex.z-dn.net/?f=n%20%3D%2010)
What is the theoretical probability of this happening?
This is P(X = 2).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439](https://tex.z-dn.net/?f=P%28X%20%3D%202%29%20%3D%20C_%7B10%2C2%7D.%280.5%29%5E%7B2%7D.%280.5%29%5E%7B8%7D%20%3D%200.0439)
4.39% theoretical probability of this happening