In the spinner there are eight numbers numbered from 1 to 8.
To solve this problem, we must remember that probability is:
Probability = number of successful events / number of total
events
a. P (even number). There are 4 even numbers, therefore the
probability is:
P (even number) = 4 / 8
P (even number) = ½ = 0.5 = 50%
The probability of getting an even number is 50%.
b. P (a number greater than
3). There are 5 numbers greater than 3, therefore the probability is:
P (number greater than 3) = 5
/ 8
P (number greater than 3) = 0.625
= 62.50%
The probability of getting a number greater than 3 is 50%.
c. P (an odd number). Similar
to the even number, there are 4 odd numbers. Therefore,
The probability of getting an odd number is 50%.
Answer:
12$
Step-by-step explanation:
56-20=36
36/3=12
12
For a parabola of the form

, its vertex is located at (h, k).
The vertex of f(x) is at (7, -1).
The vertex of g(x) is at (-6, -3).
To move (7, -1) to (-6, -3), we would have to go 13 units to the left and 2 units down. Therefore, moving f(x) 13 units left and 2 units down would map it onto g(x).
Answer: Second option.
Step-by-step explanation:
The Slope-Intercept form of the equation of the line is:

Where "m" is the slope of the line and "b" is the y-intercept.
You know that the second equation of the System of equations given in the exercise is:

Then, you need to solve for the variable "y" in order to write it in Slope-Intercept form. The steps are:
1. Apply the Distributive property and simplify:

2. Now subtract 6 from both sides of the equation:

3. Subtract
from both sides of the equation:

4. Subtract
from both sides:

5. Divide both sides by -2:

Answer:
$1.65
Step-by-step explanation:
The total purchase can be described by ...
4(2h +1.25) = 18.20 . . . . where h is the price of a hot dog
8h = 13.20 . . . . . . . . . . . subtract 5.00
h = 1.65 . . . . . divide by 8
The price of a hot dog was $1.65.