Probabilities are used to determine the chances of an event
- The probability of choosing a black counter is 0.6
- The probability that both counters are white is 0.16
<h3>(a) Probability of selecting two blacks</h3>
The probability is given as:

Apply probability formula

Express as squares

Take the square root of both sides

Hence, the probability of choosing a black counter is 0.6
<h3>(b) Probability of selecting two white counters</h3>
In (a), we have:

Using the complement rule, we have:

So, we have:

Evaluate

The probability that both counters are white is then calculated as:

So, we have:


Hence, the probability that both counters are white is 0.16
Read more about probabilities at:
brainly.com/question/15858152
The relevant formula that we can use in this situation is:
v = v0 + at
where v is the final velocity, v0 is the initial velocity
= 20 km/hr, a is acceleration at 3.4 m/s^2 and t is time at 20 seconds
First convert v0 to m/s, v0 = 5.56 m/s
v = 5.56 m/s + 3.4 m/s^2 * 20 s
v = 73.56 m/s
Then convert back to km/hr:
<span>v = 264.82 km/hr</span>
Answer:
Step-by-step explanation:
chickens + goats = 13
so...
c + g = 13, so...
g = (13 - c)
2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...
2c + 4(13-c) = 48, so
2c + 52 - 4c = 48, so
-2c = -4, so
2c = 4, so
c = 2.
There are 2 chickens, and therefore 11 goats.
Answer:
x = -7
Step-by-step explanation:
f(x) = -2x + 9
f(x) = 23
therefore, f(x) =
-2x + 9 = 23
-2x = 23 - 9
-2x = 14
-x = 14 ÷ 2
-x = 7
x = -7