Answer:
Graph ⇒ see the attached figure
Create a table ⇒ see the attached figure
Expression/Equation ⇒ y = 8x
What is the slope? ⇒ 8
What is the y-intercept? ⇒ zero
Step-by-step explanation:
Given: Meat costs $8.00 per pound at a store.
Let the number of pounds = x, and the total cost = y
So, the equation which represents the given situation is ⇒ y = mx
Where m is the slope.
If x = 1 pound , the meat costs = y = $8
So, y = 8x
The table can created by let values for x and find the values of y.
The attached table represents the table and the graph of y = 8x
The slope = 8
y-intercept is the value of y when x = 0
so, the y-intercept = 0
Answer:
Equation of line is given by:
Step-by-step explanation:
Given points:
Slope of line
where and
is a point on the line
∴
Point-slope equation of line is given by:
where is a point on the line and
is slope of line.
Using point and slope
point-slope equation of line is given by:
Simplifying.
Using distribution.
Subtracting 2 to both sides.
Thus, equation of line is
Answer:
The estimated number of times the spinner will land on 3 is 20.
Step-by-step explanation:
The complete question is:
A four-sided spinner is provided. If Tom spins the spinner 80 times then work out an estimate for the number of times the spinner will land on 3.
Solution:
Assume that the four-sided spinner is unbiased.
That is all the four outcomes are equally likely to be selected.
The probability that the spinner lands on any of the four numbers is:
P(1) = P (2) = P (3) = P (4) = 0.25
It is provided that Tom spins the spinner <em>n</em> = 80 times.
The spinner can land on any of the four numbers independently.
The random variable <em>X</em>, defined as the number of times the spinner lands on 3, follows a Binomial distribution with parameters <em>n</em> = 80 and <em>p</em> = 0.25.
The expected value of <em>X</em> is:
Thus, the estimated number of times the spinner will land on 3 is 20.