Answer:
Mia and her family went to dinner, and the bill, including tax, came to $54.65. Mia suggested giving the server a gratuity of about 20 percent of the bill.
If they give a gratuity of 20 percent, what would be the tip rounded to the nearest dollar?
✔ $11
If they give a gratuity of 20 percent, rounded to the nearest dollar, what is the total cost of the dinner, including the tip?
✔ $65.65
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Answer:
Total number of people = 13
A:
Number of ways to choose 10 players to take the field = 13C10
= 
= 286
B:
This is given as: 13P10
=
= 
= 1037836800
C:
This is given as:
(3C1 x 10C9) + (3C2 x 10C8) + (3C3 x 10C7)
Solving this we get the answer as = 285
Answer:
Part A) The amplitude = 24
Part B) The period = 24
Part C) Vertical shift = 36
Step-by-step explanation:
The general equation of the sine function:
y = A sin (Bx) + C
Where A is the amplitude and B = 360°/Period and C is the vertical shift
See the attached figure which represents the graph of m and f(m)
So,
<u>Part A:</u>
The function has minimum at 12 and maximum at 60
The difference is = 60 - 12 = 48
So, The amplitude = 48/2 = 24
<u>Part B:</u>
Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.
We can deduce that the function completes one cycle within 24 months
So, the period = 24
<u>Part C:</u>
Vertical shift is obtained at m = 0
So, f(m) = 36
36 = A sin (0) + C
C = 36 ⇒ Vertical shift
So, The amplitude = 24
The period = 24
Vertical shift = 36
Answer:
1/5
Step-by-step explanation:
Since the surveys are chosen with replacement (the first one is replaced before the second is chosen), the events are independent. This means that the probability of both together is the product of each event's probability.
The probability of choosing a survey that indicates 4 children in the family is 8/60, since there are 8 surveys with 4 children out of a total of (9+18+22+8+3) = 60 surveys.
The probability of choosing a survey that indicates 1 child is 9/60, since there are 9 surveys with 1 child out of a total of 60.
Together this gives us
8/60(9/60) = 72/360 = 1/5