25
36
75
The predicted number of violet chips in the box is 36
Probability is a stream in maths which is useful in prediction of likeliness of an event to happen.
It has a range of 0 to 1, where 0 means unlikeliness and 1 indicates certainty.
Probability Formula = f/n
where,
f is the number of times an event occurs
n is the total number of trials
It is given in the question that
A box contains 100 colored chips
Wilson records 9 violet chips and 16 red ones.
So from a sample of 25 chips, 9 are violet.
So violet probability of violet chips out of 25 = 9/25.
To find the number of violet chips in the box
a proportion has to be made
9/25 = v/ 100
v= 36
Therefore the predicted number of violet chips in the box is 36
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Answer: 36
Step-by-step explanation:
Wilson records 9 violet chips and 16 red ones.
So from a sample of 25 chips, 9 are violet.
So violet probability out of 25 = 9/25.
If we make a proportion we find how many violet chips out of 100 = 36
9/25 = ?/ 100
?= 36
we can always convert a decimal to a fraction, by simply adding as many zeros at the bottom as there are deciamals, and lose the dot atop.
so with that mouthful, let's convert 0.000002 to a fraction. It has 6 decimals, so we'll use 6 zeros.
Answer:
Step-by-step explanation:
y = mx + b
Where:
y is the dependent variable (in this case, the values in the "y" column).
x is the independent variable (in this case, the values in the "x" column).
m is the slope of the line.
b is the y-intercept (the value of y when x is 0).
We can calculate the slope (m) using two points from the table. Let's use the points (3, 14) and (7, 30):
m = (y2 - y1) / (x2 - x1)
m = (30 - 14) / (7 - 3)
m = 16 / 4
m = 4
Now that we have found the slope (m), we can determine the equation:
y = 4x + b
To find the y-intercept (b), we can use one of the points from the table. Let's use the point (3, 14):
14 = 4(3) + b
14 = 12 + b
Now, solve for b:
b = 14 - 12
b = 2
So, the equation that models the relationship between x and y in the table is:
y = 4x + 2
Therefore, the correct equation is: y = 4x + 2.