Answer: 345.02
Step-by-step explanation:
Since the sum of all probabilities of all all elementary events will always be equal to 1. Furthermore, the probabilities of all mutually exclusive set of events that is part of the entire sample space will always be total of 1.
So in the problem, the answer is 1/8.
1/8 for red + 3/8 for green + 3/8 for yellow + 1/8 for blue = 8/8 or 1.
We have that the spring is going to have a sin or a cos equation. We have that the maximum distance of the spring is 6 inches and it is achieved at t=0. Let's fix this as the positive edge. Until now, we have that the function is of the form:
6sin(at+B). We have that the period is 4 minutes and hence that the time component in the equation needs to make a period (2pi) in 4 minutes. Thus 4min*a=2p, a=2p/4=pi/2. In general, a=2pi/T where a is this coefficient, T is the period. Finally, for B, since sin(pi/2)=1, we have that B=pi/2 because when t=0, we have that 6sin(B)=6. Substituting, we have f(t)=6sin(pi*t/2+pi/2)=6cos(pi*t/2)
by trigonometric identities.
Answer:
The total cost function of having a party catered is f(p) = 65 + 9.50 p
Step-by-step explanation:
The equipment fee of the caterer = $65
The charge per plate = $9.50
Let, Total number of people invited in the party = p
So, the cost of plates of p people = Number of people x Per plate cost
= p x $9.50
Now, Total Catering Cost = Equipment Fee + Cost of all plates
or, Total cost = $65 + p x $9.50
Hence, the total cost function of having a party catered
is f(p) = 65 + 9.50 p.
<em><u>Your answer: </u></em> a reflection across the y-axis followed by a clockwise rotation 90° about the origin. A clockwise rotation 90° about the origin followed by a reflection across the x-axis. A counter-clockwise rotation 90° about the origin followed by a reflection across the y-axis. A reflection across the x-axis followed by a counter-clockwise rotation 90° about the origin.
Hope this helps <3
Stay safe
Stay Warm
-Carrie
Ps. It would mean a lot if you marked this brainliest
