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lubasha [3.4K]
3 years ago
7

Carter has 193 songs on a playlist. He's categorized them in the following manner: 39 pop. 17 jazz. 33 Latin American, 10 countr

y. 21 blues.
25 rap, and 48 gospel. If Carter begins listening to his playlist on shuffle, what is the probability that the first song played is a pop song?
Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Keypad
Mathematics
1 answer:
Lorico [155]3 years ago
7 0

Step-by-step explanation:

Total songs = 193

Probability of pop song = 39/193 = 0.202

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What is the slope of the line that contains the points (-1, 2) and (4, 3)?
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Answer:

Slope: 1/5

Step-by-step explanation:

-1,2

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Match each graph to the equation of its line.
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b

Step-by-step explanation:

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Answer:

12 yards=36 feet

Step-by-step explanation:

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The measure of angle 1 is (3x + 10)° and the measure of angle 4 is (4x – 15)°. What is the measure of angle 7
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Your answer will be 95 degrees. (3x+10)=(4x-15) ends up with x=25. Plug it in to (3x+10). You should get 85 degrees. Using the definition of supplementary angles, angle 3 will be 95. Angle 7 and angle 3 are corresponding angles. 
4 0
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Let x be the average number of employees in a group health insurance plan, and let y be the average administrative cost as a per
Step2247 [10]

A scatter diagram has points that show the relationship between two sets of data.

We have the following data,

\left\begin{array}{ccccccc}\mathrm{x}&3&7&15&32&74\\\mathrm{y}&40&35&30&25&17\end{array}\right

where <em>x</em> is the average number of employees in a group health insurance plan and <em>y</em> is the average administrative cost as a percentage of claims.

To make a scatter diagram you must, draw a graph with the independent variable on the horizontal axis (<em>in this case x</em>) and the dependent variable on the vertical axis (<em>in this case y</em>). For each pair of data, put a dot or a symbol where the x-axis value intersects the y-axis value.

Linear regression is a way to describe a relationship between two variables through an equation of a straight line, called line of best fit, that most closely models this relationship.

To find the line of best fit for the points, follow these steps:

Step 1: Find X\cdot Y and X\cdot X as it was done in the below table.

Step 2: Find the sum of every column:

\sum{X} = 131 ~,~ \sum{Y} = 147 ~,~ \sum{X \cdot Y} = 2873 ~,~ \sum{X^2} = 6783

Step 3: Use the following equations to find intercept a and slope b:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 147 \cdot 6783 - 131 \cdot 2873}{ 5 \cdot 6783 - 131^2} \approx 37.05 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 5 \cdot 2873 - 131 \cdot 147 }{ 5 \cdot 6783 - \left( 131 \right)^2} \approx -0.292\end{aligned}

Step 4: Assemble the equation of a line

\begin{aligned} y~&=~a ~+~ b \cdot x \\y~&=~37.05 ~-~ 0.292 \cdot x\end{aligned}

6 0
3 years ago
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