Answer:
6 7/8 minutes
Step-by-step explanation:
Say the entertainment segments are each x minutes long. Then, we have the equation:
x + x + 1 1/4 = 15
2x + 1 1/4 = 15
2x = 15 - 1 1/4
We need a common denominator. 1 1/4 = 5/4 and 15 = 60/4, so we now have:
60/4 - 5/4 = 55/4. Then: 2x = 55/4
Divide by 2 from both sides:
(55/4) / 2 = 55/8 = 6 7/8
Thus, each entertainment segment is 6 7/8 minutes long.
Hope this helps!
Multiplied: <span>3/5a
Simplified: Also ^ 3/5a</span>
Answer:
<h2>Leg length = 8.5</h2><h2 />
Step-by-step explanation:
let x represent the leg length
if we use the Pythagorean theorem we get:
x² + x² = 12²
then
2x² = 12²
Then
x² = 144/2 = 72
then
x = √(72)
=8,485281374239
Answer:
13 miles
Step-by-step explanation:
Write and solve an equation involving this information, using x as the distance traveled, in miles:
Cost(x) = $6.75 = $3.50 + ($0.25/mile)x
First, subtract $3.50 from both sides, obtaining: $3.25 = ($.25/mile)x.
Next, divide both sides by $0.25/mile:
$3.25
x = ------------------ = 13 miles
$0.25/mile
The length of the taxi ride was 13 miles.
Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
