Step-by-step explanation:
I'll do line A for you and you can use the formulas to solve lines B and C yourself, since its good for you to practice doing these questions yourself
a)
The gradient, m, is calculated using m = (y2-y1)/(x2-x1) where x1,x2,y1 and y2 can be any ordered pairs on the line. I'm going to use (4,0) and (7,3) as the 2 points.
m = (3-0)/(7-4) = 3/3 = 1
b)
The y-intercept is where the line intersects with the x-axis. In this case (0,-4)
c)
The equation of a linear line is y=mx+b (or c depending on which country you are from)
y = 1x-4
y=x-4
Now try the other 2 lines yourself!
If this answer has helped you, considered making this the brainliest answer!
Answer:
64.2 minutes
Step-by-step explanation:
We are given that
Shen set timer to run=93 minutes
He has finished his run=69%
We have to find total number of minutes have gone by.
69% of 93
=
By using
a%
69% of 93=
69% of 93=64.17 min
69% of 93
Hence, 64.2 minutes have gone by.
Answer:
65 ounces
Step-by-step explanation:
Number of dogs = 4
Each day, they ate 13/4 pounds of food
1 pound = 16 ounces
If 4 dogs eat 13/4 pounds of food
1 dog will eat x pounds of food
1 dog will eat = (1 * 13/4) / 4 = 13 /16
1 dog will eat 13 / 16 pounds of food each day.
1 pound = 16 ounces
13 / 16 pounds = y ounces
y = (13/16 * 16) / 1
y = 13 ounces
Each dog eats 13 ounces of food daily.
In five days, each dog will eat 13 * 5 = 65 ounces of food.
X^2 = 4x + 12
x^2 - 4x - 12 = 0, use the quadratic equation
Solve for x over the real numbers:
(x - 6) (x + 2) = 0
Split into two equations:
x - 6 = 0 or x + 2 = 0
Add 6 to both sides:
x = 6 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 6 (or x = -2 only positive solution)
Answer:
Option C
Step-by-step explanation:
The chi square test of independence is used to determine if there is a significant association between two categorical variables from a population.
It tests the claim that the row and column variables are independent of each other.
The degrees of freedom for the chi-square are calculated using the following formula: df = (r-1) (c-1) where r is the number of rows and c is the number of columns.
