Step-by-step explanation:
our total is 
our boys are 
our fraction is 
our whole used to be but we doubled it so it is 
so we double 
which equals 
Brainliest please
Answer:
Y-intercept = 0.4
X-intercept = 0.3
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
P(rain) = p(R) = 30% = 0.3
P(being late Given that it rains) = P(late | rain) = p(L|R) = 0.4
P(being late Given no rain) = P(late | no rain) = 0.15
(a) What is the probability that it will rain and the bus will be late? = P(RAINnLate) = P(RnL)
P(RnL) = p(R) * p(L|R)
P(RnL) = 0.3 * 0.4
= 0.12
(b) What is the probability that the bus will be late?
P(L) = p(R) * p(L|R) + p(no rain) * p(late | no rain)
P(L) = (0.3 * 0.4) + (1 - 0.3)*(0.15)
P(L) = 0.12 + 0.105
P(L) = 0.225
(c) Given that the bus ran late, what was the probability that it was not raining?
Given that bus ran late, the probability that it was not raining = p(no rain | Late)
p(no rain | Late) = 1 - p(R | L)
Recall :
P(RnL) = p(L) * p(R|L)
0.12 = 0.225 * p(R|L)
p(R|L) = 0.12 / 0.225
p(R|L) = 0.5333
p(no rain | Late) = 1 - 0.533
= 0.46666
= 0.467
Answer:
10 ft
Step-by-step explanation:
By using the pythagorean theorem, we know that leg1 squared plus leg2 squared is equal to hypotenuse squared.
To find the slope of the perpendicular line, you can take the negative reciprocal of the slope of the line it is perpendicular to.
Taking the negative reciprocal of -1/5 gives 5.
Now we have y=5x+b, where b is the y-intercept. Since we know that the perpendicular line passes through the point (1,4), we can substitute those values into the equation we have to find b.
y=5x+b
4=5(1)+b
4=5+b
b=-1
Therefore, the equation of the perpendicular line is y=5x-1.
