Answer:
Step-by-step explanation:
Given the following :
Laps - - - - - - - - 5 - - - 6 - - - 7 - - - 8 - - - 9
Total time - - - 25 - - 28 - - 29 - - 30 - - 32
Using online graphing tool:
The y - axis named dependent variable represents the total time taken.
The x-axis, represents the number of laps.
The equation of the trend line attached to the plot is in the form :
y = mx + c
y = 1.6x + 17.6
Where y = total time taken
x = number of laps
m = 1.6 = gradient of the line (change in y / change in x)
C = 17.6 = intercept (whee the trndline intersects the y-axis).
Answer:
x=100
Step-by-step explanation:
75=3/4x
4/3 × 75 = x
4 × 75 = 300
300/3= 100
100(3/4) = 75
x = 100
Given Situation: What is the percent increase from the 20 students to the 30 students.
Solution:
=> Let’s find how many percent did it increase.
Let’s have 20 as the first total number of the students in the first counts.
=> Then it became 30 students, let’s find out how many students added.
=> 30 – 20 = 10, there are 10 students added
10 is 50% of 20, thus, 50% added to the number of students. And that makes it 30 as the total count.
Answer:
x = 8√5
Step-by-step explanation:
In the figure attached, there are three right angle triangles.
So, by Pythagoras theorem,
y²+ 4² = z²
y² + 16 = z²------(1)
Similarly x² = 16² + y²--------(2)
and (16 + 4)² = x² + z²
20² = x² + z²-------(3)
Now we put the value of z² from equation 1 to equation 3
20² = x² + y² + 16
x² + y² = 400 - 16
x² + y² = 384
y² = 384 - x²------(4)
Now we put the value of y² from equation 4 to equation 2
x² = 16² + 384 - x²
2x² = 256 + 384
2x² = 640
x² = 320
x = 8√5
Therefore x = 8√5 will be the answer.
Answer:
1 - 0.9887 = 0.0113
Step-by-step explanation:
