Answer: y = 2x - 11
Step-by-step explanation:
A linear equation has the following form.
y = a . x + b
where,
y: independent variable
a: slope
x: independent variable
b: y-intercept
The slope is 2, so a is 2. The ordered pair (4, -3) means that when x takes the value 4, y takes the value -3. We can replace these values in the general equation to find the y-intercept.
y = a . x + b
-3 = 2 . 4 + b
b = -11
The linear equation is
y = 2x - 11
Answer:
0.17
Step-by-step explanation:
The number of times there is free Breakfast at work = 25%
The number of times the coworker lies = 1/3
The number of times the coworker speaks truth = 2/3
How likely is it that there is free breakfast at work today:
For this to happen both conditions must be satisfied. There must be free breakfast at work AND the coworker has also spoken truth. Now in this condition we will use the AND rule of Probability where we will take the Product of both the probabilities.
Result = 0.25 x 0.67 = 0.17
F(x)=8x, because if you divide the money per hour you get the rate which is $8
Answer:
x = 30
Step-by-step explanation:
12 : 20 = 18 : x
⇒ 12/20 = 18/x
⇒ 12x = 18 · 20
⇒ 12x = 360
⇒ x = 360 ÷ 12
⇒ x = 30
There are 35 different sections on the spinner.
To solve this, we can write a proportion. We put 8 over the number of sections and set it equal to 23 over 100 for 23%.
8 / x = 23 / 100
Cross multiply and divide and you will get an answer of about 35.
