Answer:
a) There are 9 outcomes.
b) **i have attached the tree diagram**
c) 1/9
d) 1/9
Step-by-step explanation:
Both events (choosing a shirt and choosing pants) are not mutually exclusive (disjoint). Meaning that both events can occur at the same time.
a) For a sequence of two events in which the first event can occur <em>m</em> ways and the second event can occur <em>n</em> ways, the events together can occur a total of <em>m</em> • <em>n</em> ways. So for this problem, you would do 3 • 3 which equals 9.
b) **tree diagram is attached**
c) Because there are two different events occurring (choosing a shirt and choosing pants) you need to multiply using the Multiplication Rule for Independent Events : P(A and B) = P(A) * P(B)
The probability of event A occurring (choosing a red shirt) is 1/3 and the probability of event B occurring (choosing brown pants) is also 1/3.
1/3 * 1/3 = 1/9
d) You would do the same thing here as part c.
The probability of event A occurring (choosing a blue shirt) is 1/3 and the probability of event B occurring (choosing blue pants) is again 1/3.
1/3 * 1/3 = 1/9
I hope this was helpful!! :)
The mass of the apple juice needed to increase the initial concentration to 25% is 45 kg
The given parameters;
- <em>Mass of the apple juice, m = 30 kg</em>
- <em>current percentage, = 10%</em>
- <em>final percent after increment = 25%</em>
Let the mass added to increase the percentage to 30% = x
10% ----------------- 30 kg
25% ------------------ ?

The additional mass is calculated as;

Thus, the mass of the apple juice needed to increase the initial concentration to 25% is 45 kg.
Learn more about percentage and ratio here: brainly.com/question/11752721
Answer:
-8/5 is the slope.
Step-by-step explanation:
To find slope, it's the change in y over the change in x. Or rise over run.
That would be 8/5.
And this line would be negative because it is going from left to right.
So your final answer would be -8/5 as your slope.