Answer:
The probability that they will both be on time is 12/25.
Step-by-step explanation:
John is late 20% of the time.
So, he is prompt 80% of the time.
Ted is late 40% of the time.
So, he is prompt 60% of the time.
Since, both the events are independent,
p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)
× 
= 0.80 × 0.60
= 0.48 or 48%
Hence, the probability that they will both be on time is 12/25.
Answer: x = -14/5
Step-by-step explanation: We shall begin by expanding the brackets for both sides of the equation
-2/3 (x + 2) = 1/6 (x + 6)
(-2x/3) -4/3 = (x/6) + 1
By collecting like terms we now have
(-2x/3) - (x/6) = 1 + 4/3
(-4x - x)/6 = 7/3
-5x/6 = 7/3
By cross multiplication we now have
-5x (3) = 7 (6)
-15x = 42
x = -(42/15) {simplify further by dividing the RHS by 3}
x = -14/5
Therefore x equals, minus fourteen over five (-14/5)
For those who answered "yes" we have:
(208/650) * (100) = 32%
For those who answered "no" we have:
(403/650) * (100) = 62%
For those who did not answer we have:
100-32-62 = 6%
Answer:
Yes = 32%
No = 62%
They did not answer = 6%
Number of outcomes when flipping a coin = 2
Favorable outcome is landing on head.
So,number of favorable outcomes = 1
Probability of getting a head when flipping a coin =
Number of outcomes when rolling a dice = 6
Favorable outcomes are rolling 4,5 or 6.
So,number of favorable outcomes = 3
Probability of getting 4 or a bigger number when rolling a dice =
Thus the probability of getting a head when flipping a coin and getting a number equal to or greater than 4 when a dice is rolled =
So, option A gives the correct answer
