The distance from friend's village to Lucas's house is 45 miles
Step-by-step explanation:
Lets assume the distance from Lucas home to friend's village is x miles
The time taken to cycle from Lucas home to friend's village is 3 hrs....t₁
The time taken if travelling at a 5 mph reduced speed is 1.5 hrs longer......t₂
t₂=4.5 hrs
t₁= 3 hrs
Speed for cycle in first instance, where t₁=3 hrs and distance is x miles
s₁=d/t = x/3 mph
Speed for cycle if travelling at a slower speed,

Time taken in the second instance when travelling at a slower speed
=
The distance from friend's village to Lucas's house is 45 miles
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Formula for speed:brainly.com/question/13664094
Keywords: cycle,home, village, travels,slower,longer
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Answer:
B
Step-by-step explanation:
$65×6%=$3.90
$3.90+$65=$68.90
m I right
Answer:
14 paychecks
Step-by-step explanation:
$495 + $65 = $560
$560 / 40 = 14
Therefore , he must save for 14 paychecks
Hope this helps and pls mark as brainliest :)
We are asked to determine the correlation factor "r" of the given table. To do that we will first label the column for "Quality" as "x" and the column for "Easiness" as "y". Like this:
Now, we create another column with the product of "x" and "y". Like this:
Now, we will add another column with the squares of the values of "x". Like this:
Now, we add another column with the squares of the values of "y":
Now, we sum the values on each of the columns:
Now, to get the correlation factor we use the following formula:

Where:

Now we substitute the values, we get:

Solving the operations:

Therefore, the correlation factor is 0.858. If the correlation factor approaches the values of +1, this means that there is a strong linear correlation between the variables "x" and "y" and this correlation tends to be with a positive slope.
This is false.
The f(3x) means you are multiplying the input 'x' by 3 before plugging into the equation.
3f(x) means you are going to multiply your answer (output) by 3 after you've plugged the input value in and gotten the output.