Answer:
option a)
0.286
Step-by-step explanation:
Given that,
number of red pens in cup = 5
number of black pens in cup = 10
number of pen randomly selected = 3
There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.
probability of having all red pens = (5/15 x 4/14 x 3/13)
= 2/91
probability of having all black pens = (10/15 x 9/14 x 8/13)
= 24/91
probability that all pen are of same colour = 24/91 + 2/91
= 2/7
≈ 0.286
Answer:
or ≈6.59
Step-by-step explanation:
We can first begin by simplifying each of the numbers with exponents. Recall that in a fraction exponent, the numerator is the power, while the denominator is the root.
Take
for example. The '2' in the fraction means we must take the square of 25. √25 = 5.
The '3' in the fraction means we take the power, which means we must cube '5'.
5³ = 125. Therefore,
= 125. Use this process for the other numbers:
The new fraction would look like:
Which simplifies to:
or ≈6.59

Total distance covered is equal to ~
- Number of revolutions × circumference
Hence distance covered = 2200 m = 2.2 km