Slope is the change in y over the change in x.
therefore from dot to dot on the graph, it moves down 3 and over 5.
change in y = 3
change in x = 5
Answer: 3/5
Answer:
72
Step-by-step explanation:
The two digit number can be represented by xy, where x and y must add to 9 and x - y must subtract to 5. Make a system of equations.
Use the elimination method and add the terms from top to bottom like so. The y and -y cancel out.
2x = 14
Divide both sides by 2.
x = 7
Substitute 7 for x into the first equation (either eqn would work).
(7) + y = 9
Subtract 7 from both sides.
y = 2
Combine these two together; xy --> (7)(2) --> 72.
The number is 72.
The value of r indicates the negative correlation.
<h2>Given </h2>
Rikki decided to collect data to determine if a runner's time and speed are correlated.
She determined the data to have a correlation coefficient of -0. 5.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of the two variables.
She determined the data to have a correlation coefficient of -0. 5.
Here, the coefficient is negative which is -0.5.
This correlation coefficient indicates that there exists a weak negative correlation between the runner’s time and the speed.
This relation is negative because the correlation coefficient is negative.
Hence, The value of r indicates the negative correlation.
To know more about the Correlation coefficient click the link given below.
brainly.com/question/19043872
5 feet is how far the ladder reaches
Answer:
<em>75.408 ft</em>
Step-by-step explanation:
In 20 minutes, the angle swept by a minute hand is calculated as
(20/60) x 360° = 120°
The length of the minute hand = 36 ft
To calculate the distance moved by the minute hand, we solve for the fraction of the circumference of a circle swept by the minute hand in going through this 20 min.
we use the expression
Distance moved by the tip of the minute hand d = (θ/360) x 2πR
where
θ is the angle swept in the 20 minutes = 120°
R is the length of the minute hand, which is the radius of the circle formed if the minute hand moves completely in a 360° motion round the clock.
R = 36 ft
substituting values, we have
d = (120/360) x (2 x 3.142 x 36) = <em>75.408 ft</em>