Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.
Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.
In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.
The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.
Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.
Answer:
34 sold for $20
55 sold for $35
Step-by-step explanation:
20x+35y=2605
y=(98-x)
20x+35(89-x)=2605
Solve for x
20x+3115-35x=2605
20x-35x=2605-3115
-15x=-510
x=34
Answer:
50 tons
Step-by-step explanation:
because you just divide 6250 by 125
Answer:
B) 21
Step-by-step explanation:
There are 7 cars total and 5 slots to fill for the showroom selections. Put another way, there are 7-5 = 2 cars that don't make it to the showroom floor. Since this value (2) is smaller than the previous number of slots (5), it makes it easier to ask the question "how many ways are there to pick 2 cars that don't make it to the show room floor?" instead of "how many ways are there to pick 5 cars that make it to the showroom floor?". We'll get the same answer either way.
So we have 7 total to pick from for slot 1, and then 6 left over for slot 2. Making 7*6 = 42 permutations. Order does not matter, meaning that picking a red car and then a blue car is the same as picking a blue and then red. The count 42 has double counted, so we divide by 2 to sort this out
42/2 = 21 represents the number of combinations. We can see this if we use the nCr combination formula with n = 7 and r = 2
nCr = (n!)/(r!*(n-r)!)
7C2 = (7!)/(2!*(7-2)!)
7C2 = (7!)/(2!*5!)
7C2 = (7*6*5!)/(2*5!)
7C2 = (7*6)/2
7C2 = 42/2
7C2 = 21
a similar computation happens if you use n = 7 and r = 5.
Answer
b. No
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.
The function is
f(x) = sin(20*x) + cos(8*x)
Which can be seen in the picture below
We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2
The maximum and minimum values are
Max = 1.834
Min = -2
