Answer: There are 5 red pencils, 16 blue pencils and 23 brown pencils.
Step-by-step explanation:
Since we have given that
Number of red pencils = 5
Number of blue pencils are 11 more than red pencils.
So, Number of blue pencils would be
Number of brown pencils are 7 more than blue pencils.
So, number of brown pencils would be
Hence, there are 5 red pencils, 16 blue pencils and 23 brown pencils.
Answer: 10 units²
Step-by-step explanation:
We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.
We can get each triangle's area using the formula
base length - 4 units
height - 4 units
base length - 2 units
height - 2 units
Total = 8 units² + 2 units² = 10 units²
Answer:
a) P(X∩Y) = 0.2
b) = 0.16
c) P = 0.47
Step-by-step explanation:
Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.
So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67
Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.36 + 0.51 - 0.67
P(X∩Y) = 0.2
On the other hand, the probability that he must stop at the first signal but not at the second one can be calculated as:
= P(X) - P(X∩Y)
= 0.36 - 0.2 = 0.16
At the same way, the probability that he must stop at the second signal but not at the first one can be calculated as:
= P(Y) - P(X∩Y)
= 0.51 - 0.2 = 0.31
So, the probability that he must stop at exactly one signal is: