Answer:
6 laps
Step-by-step explanation:
According to the scenario, calculation of the data are as follows:
Each lap = 0.25 miles
Regan's plan to run= 1.5 miles
So, we can calculate number of laps by using following formula,
Number of laps = Total miles to run ÷ each lap miles
By putting the value, we get
Number of laps = 1.5 miles ÷ 0.25 miles
= 6 laps
So, she should run 6 laps.
Answer:
y=-2x+160
Step by Step:
The equation of a line can be determined using the point slope formula:
y-y1=m (x-x1)
To make a substitution, we must ensure we have the correct information. The question gives:
y1=60
x1=50
y=1/2x+10 This is the formula of a line that is perpendicular to the one we are trying to find.
It tells us that the gradient of the perpendicular line is 1/2. The gradient of the line we are trying to find can be found using m1×m2=-1 because we know that when lines are perpendicular, the product of their gradients must equal 1
So if we replace m1 with 1/2
1/2×m2=-1
m2=-2
We now have all the relevant information to make a substitution:
y-60=-2 (x-50)
expand brackets
y-60=-2x+100
rearrange to get in the form y=mx+b
y=-2x+160
Subtract 6 from both sides, you get 1/3x=-14
Now multiply both sides by there, hence x=-42
Answer:
17.65% probability a rider must wait between 1 minute and 1.5 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is between c and d is given by the following formula

For this problem, we have that:


17.65% probability a rider must wait between 1 minute and 1.5 minutes
B. 906 inches ! Gooooood luck lol