Answer:
1. C
2. B
Step-by-step explanation:
I just did it
Answer:
The equation to this problem is 2,249
Given that the triangle is an isosceles right angled triangle, then the value of x will obtain using the Pythagorean theorem, given by:
c^2=a^2+b^2
where
c is the hypotenuse, a and b are the legs
thus
x^2=12^2+12^2
x^2=144+144
x^2=288
hence
x=√288
x=√(2×144)
x=2√12
Answer: a. 0.05
b. 0.40
c. 0.85
Step-by-step explanation:
Let F= Event that a certain motorist must stop at the first signal.
S = Event that a certain motorist must stop at the second signal.
As per given,
P(F) = 0.45 , P(S) = 0.5 and P(F or S) = 0.9
a. Using general probability formula:
P(F and S) =P(F) + P(S)- P(F or S)
= 0.45+0.5-0.9
= 0.05
∴ the probability that he must stop at both signals = 0.05
b. Required probability = P(F but (not s)) = P(F) - P(F and S)
= 0.45-0.05= 0.40
∴ the probability that he must stop at the first signal but not at the second one =0.40
c. Required probability = P(exactly one)= P(F or S) - P(F and S)
= 0.9-0.05
= 0.85
∴ the probability that he must stop at exactly one signal = 0.85
Answer:
1/12
Step-by-step explanation:
The probability on an equal dice is 1/6
There is only one 2 on a dice; therefore, the probability of rolling a 2 is 1/6.
There three odd numbers on a dice; therefore, the probability of rolling an odd number is 3/6 = 1/2.
Because the events are dependent on each other (you HAVE to roll a 2 first AND you HAVE to roll an odd number after), multiply them.
1/6 * 3/6 = 1/12