Answer:
x = 2
y = -1
Step-by-step explanation:
Since it gives you the value of y already, just plug that into the equation, like so:
y = 4x - 9
x - 3 = 4x - 9
<em><u>Subtract the x from both sides:</u></em>
x - 3 = 4x - 9
-x - x
__________
-3 = 3x - 9
<em><u>Then, add 9 to both sides:</u></em>
-3 = 3x - 9
+9 + 9
________
6 = 3x
<em><u>Divide both sides by 3:</u></em>
2 = x
<em><u>Now plug in x for y:</u></em>
y = x - 3
y = 2 - 3
y = -1
Answer: Graph C
Step-by-step explanation:
y-2 < -2x+2
y<-2x+4
slope is negative so it goes down. y int is 4.
insert (0, 0) into equation and 0 < 4 is true so shade where the origin is.
Answer: 0.9738
Step-by-step explanation:
This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by
P(X=r) = nCr * p^r * q^n-r
Where n = number of sample = 6
p = probability of success = 0.545
q = 1-p = 0.455
r = possible outcome from number of sample.
If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]
Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262
Probability that at least one is a girl = 1 - 0.0262 = 0.9738.
Answer:
It's (very roughly) 12 hours from one high tide to the next, and of course the same for low tides. That's because the tides produced when the Moon is directly overhead or in the opposite direction are the same. Same with two low tides, since there are two tides a day (both low and high).
