Total number of songs is ![14+16+17= 47](https://tex.z-dn.net/?f=%2014%2B16%2B17%3D%2047%20)
And out of 47, total number's of katy Pery's songs are 17.
So probability that the next song will be the song of Katy Pery is
![= \frac{17}{47}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B17%7D%7B47%7D%20)
And therefore probability that the next song is not of Kety's pary's song is
![1-\frac{17}{47} = \frac{30}{47}](https://tex.z-dn.net/?f=%201-%5Cfrac%7B17%7D%7B47%7D%20%3D%20%5Cfrac%7B30%7D%7B47%7D%20)
And that's the required answer .
False, the data set is not continuous. A histogram represents a continuous data set.
Answer:
The answer to your question is speed = 81.5 mi/h
Step-by-step explanation:
Data
distance = 230 ft
time = 1.932 s
speed = ? mi/h
Process
1.- Convert the distance to mi
1 mile ----------------- 5280 ft
x ----------------- 230 ft
x = (230 x 1) / 5280
x = 0.044 mi
2.- Convert time to hours
1 h ------------------ 3600 s
x ------------------ 1.932 s
x = (1.932 x 1) / 3600
x = 0.00054 h
3.- Calculate the speed
speed = distance / time
-Substitution
speed = 0.044/ 0.00054
-Result
speed = 81.5 mi/h
Answer:
B. 2
Step-by-step explanation:
![\frac{2(x + 1)}{x + 5} = 1 - \frac{1}{x + 5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%28x%20%2B%201%29%7D%7Bx%20%2B%205%7D%20%20%3D%201%20-%20%20%5Cfrac%7B1%7D%7Bx%20%2B%205%7D%20)
Multiply two sides by (x+5), we have
![(x + 5) \frac{2(x + 1)}{x + 5} = (x + 5) - (x + 5) \frac{1}{x + 5}](https://tex.z-dn.net/?f=%28x%20%2B%205%29%20%20%20%5Cfrac%7B2%28x%20%2B%201%29%7D%7Bx%20%2B%205%7D%20%3D%20%28x%20%2B%205%29%20-%20%28x%20%2B%205%29%20%20%5Cfrac%7B1%7D%7Bx%20%2B%205%7D%20%20)
so
![2(x + 1) = x + 5 - 1 \\ = > \: 2x + 2 = x + 4 \\ = > x = 2](https://tex.z-dn.net/?f=2%28x%20%2B%201%29%20%3D%20x%20%2B%205%20-%201%20%20%5C%5C%20%20%3D%20%20%3E%20%20%5C%3A%202x%20%2B%202%20%3D%20x%20%2B%204%20%5C%5C%20%20%3D%20%20%3E%20x%20%3D%202)
Answers:
The unit rate is 8/3
The graph is a straight line through the points (0,0) and (3,8)
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Further Explanation:
Each time d increases by 8, t increases by 3
unit rate = slope = (change in d)/(change in t) = 8/3
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<u>All</u> direct variation equations are straight lines that go through the origin (0,0)
Starting at the origin, move 3 units to the right and 8 units up to arrive at (3,8)
Therefore, this straight line goes through the two points (0,0) and (3,8)
If you were to apply the slope formula to these two points, then you should find that m = 8/3 to confirm the previous section's answer.