$45,600
12 (200 + 75s)
12 ((200 + 75 (48))
12 ( 200 + 3600)
12 (3800)
45600
Answer:
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- <u><em>Event A: 1/35</em></u>
- <u><em>Event B: 1/840</em></u>
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Explanation:
<u>Event A</u>
For the event A, the order of the first 4 acts does not matter.
The number of different four acts taken from a set of seven acts, when the order does not matter, is calculated using the concept of combinations.
Thus, the number of ways that the first <em>four acts</em> can be scheduled is:


And<em> the number of ways that four acts is the singer, the juggler, the guitarist, and the violinist, in any order</em>, is 1: C(4,4).
Therefore the<em> probability of Event A</em> is:

Event B
Now the order matters. The difference between combinations and permutations is ordering. When the order matters you need to use permutations.
The number of ways in which <em>four acts </em>can be scheculed when the order matters is:


The number of ways <em>the comedian is first, the guitarist is second, the dancer is third, and the juggler is fourth</em> is 1: P(4,4)
Therefore, <em>the probability of Event B</em> is:

Answer:
Step-by-step explanation:
Area of the shaded region = Area of triangle with base 40 km and height 27 km - Area of circle with radius (12/2) 6 km.

Answer:
16: y=4x+14 17: 12 18: when you simplify it all individually you get x=3 for both equations. 19: $6.69
Step-by-step explanation:
16:y-2=4(x+3) distribute 4 and get y-2=4x-12. Add 2 to both sides to get y-4x+14.
17:x+2y=4 and 3x+6y=? divide 3x+6y by three and you get x+2y=4. This means you can just multiply the 4 by 3 to get the answer.
18:3x-5=4 and 3x-3=6. For the first one add 5 to both sides to get 3x=9 then divide both side by 3 to get x=3. For the second one add 3 to both sides to get 3x=9. Again divide both sides by three to get x=3.
19: $18-$4.62=13.38 since he wants 2 models divide 13.38 by 2 to get 6.69.
Answer:
Remainder
Step-by-step explanation:
When a number can't be divided equally, there's an amount leftover. The leftover number is called a <em><u>remainder</u></em>
I'm not really great at explaining stuff, but I hope this helps!