Answer:
or 0.6
Step-by-step explanation:
Given:
Number of yellow tickets = 5
Number of green tickets = 5
Total number of tickets = 5 + 5 = 10
Required:
Find the probability that a randomly picked ticket is green or has a number greater than 4
Use the formula:
P = probability of green tickets + probability of yellow tickets with numbers greater than 4
Yellow tickets with numbers greater than 4 = 1 ticket
Probability of picking a green ticket = 
Probability of picking a yellow ticket with number greater than 4 = 
Therefore, probability that a randomly picked ticket is green or has a number greater than 4
= 
Probability that a randomly picked ticket is green or has a number greater than 4 = or 0.6
Answer:
Volume of the solid is 377 cm³.
Step-by-step explanation:
Volume of the cylinder = 
Here, r = radius of the cylinder
h = Height of the cylinder
By substituting the values in the formula, (r = 4 cm and h = 10 cm)
Volume of the cylinder = 
= 160π
Since one fourth of the cylinder is removed,
Volume of the remaining cylinder = 160π - 
= 160π - 40π
= 120π
= 120(3.14)
= 376.8 cm³
≈ 377 cm³
Volume of the solid is 377 cm³.
The picture attached has the table that repfesents the linear function to find the equation.
Answer:
Explanation:
A<em> linear function</em> is characterized by a constant slope and a unique y-intercept.
Let m be the slope and b the y-intercept of a linear function. Then, s<em>lope-intercept</em> equation has the form:
Using any two pair of points (x,y) from the table you can determine the values of m and b.
The table is:
x 0 1 2 3 4
y -6 4 14 24 34
You know that it is a linear function because for constant increases of the x-values (1 unit in the table) there is a constant increase of the y-values (10 in the table).
The slope, m, is calculated as:
- m = [change in y] / [change in x] = Δy / Δx = [14 - 4] [2 - 1] = 10
As said, you could have used any two points to calculate m,
The y-intercept, b, is the value of the function, y, when x = 0.
- From the table you can observe that when x = 0, the value of y is - 6; so b = - 6.
Thus, the equation of the linear function represented in the table in slope-intercept form is:
The most common base used today is the decimal system which means 1 to 9.
The binary system is base two and it only uses the numbers 1 and 0. It does not go over 1. So base 5 is a number system that doesn’t go over four. It’s a little hard to understand until you do some questions relating to it.
