Answer:
Part 1: Write mathematical equations of sinusoids.
1. The following sinusoid is plotted below. Complete the following steps to model the curve using the cosine function.
a) What is the phase shift, c, of this curve? (2 points)
b) What is the vertical shift, d, of this curve? (2 points)
c) What is the amplitude, a, of this curve? (2 points)
d) What is the period and the frequency factor, b, of this curve? (2 points
e) Write an equation using the cosine function that models this data set. (5 points)
2. The following points are a minimum and a maximum of a sinusoid. Complete the following steps to
model the curve using the sine function
Step-by-step explanation:
<em> </em><em>p</em><em>l</em><em>z</em><em> </em><em>f</em><em>o</em><em>l</em><em>o</em><em>w</em><em> </em><em>m</em><em>e</em>
Answer:
The simplest answer would just be 14:19
However the unsimplified answer is 1260:1710
Answer:
Step-by-step explanation:
<u>Full charge can be expressed as equation:</u>
- c = 2.5 + 0.75m, where c- charge, m- miles
<u>The limit for charge is $13, then we got inequality:</u>
- 0.75m + 2.5 ≤ 13
- 0.75m ≤ 9.5
- m ≤ 9.5/0.75
- m ≤ 12.66
Option B: 10 is correct as the only number satisfying the inequality
Answer: 3/55
Step-by-step explanation:
From the information given, the bag contains 3 red, 3 orange, 1 yellow, 2 purple marbles, and 2 Pink marbles. Each time he picks an orange marble, she will win a prize.
If he picks a marble the first time, the probability of picking an orange marble will be 3/11. After that we will have 10 marbles left as one has been picked and have 2 orange marbles left, then the probability of picking another orange marble will be 2/10.
Therefore, the probability he will win a prize on both picks will be:
= 3/11 × 2/10
= 6/110
= 3/55
