Answer:
1/7
Step-by-step explanation:
If a bag contains 10 white marbles, 5 green marbles, 6 yellow marbles and two marbles are drawn at random, the probability of picking a white marble and then a yellow marble means a white marble was picked first and then followed by yellow marble.
Note that the white marble that was picked first was not replaced. This is a probability question without replacement.
Probability of an event = possible outcome of event/Total outcome of event
Total outcome = total number of marbles = 10+5+6 = 21marbles
If a white marble is selected first, the probability of selecting a white marble will be 10/21.
Since the white ball wasn't replaced, the new total number of marbles will become 21-1 = 20marbles
If yellow marble was then selected out of this 20 marbles remaining, the probability of selecting the yellow marble will be 6/20 {since there are 6yellow marbles}
The probability of drawing a white marble and then a yellow marble will then give us;
10/21×6/20
= 60/420
= 6/42
= 1/7(in its simplified form)
Answer:
Only line A is a well-placed line of best fit.
Step-by-step explanation:
I did this on Plato and got it correct.
B. Pyramid
C. Cone
D. Polygon
The Prism and Pyramid is a typical example of polyhedron. That is optionA and B.
A polyhedron is any solid that has a three dimensional shape with all its sides flat. It is made up of different polygons that join together.
These polyhedron are made up of three parts:
Examples of polyhedron are the Prism and Pyramid. The prisms have flat faces and is made up of rectangles while the pyramids is made up of triangles and different polygons.
Therefore, the Prism and Pyramid is a typical example of polyhedron.
Learn more about polyhedron here:
1. $140 for 18 ft?
Answer: 17.5
Step-by-step explanation:
Answer:
7.56 quarts of antifreeze in the resulting mixture, and 37.8% of the resulting mixture is antifreeze.
Step-by-step explanation:
8 * .45= 3.6 quarts antifreeze
12 * .33= 3.96 quarts antifreeze
3.6 + 3.96= 7.56 quarts of antifreeze in the resulting mixture
7.56 quarts/ 20 quarts (12 + 8) * 100= 37.8%
In the combined solution, there are 7.56 quarts of anti-freeze, which equals 37.8% of the total solution.
To solve this problem, we first need to calculate how many quarts of anti-freeze are in each solution, then add them together.
First, we have 8 quarts of a solution that is 45% anti-freeze. To find how many quarts of the solution is anti-freeze, we multiply the total amount by the percentage: 8 quarts * 0.45 = 3.6 quarts anti-freeze.
Next, we have 12 quarts of a solution that is 33% anti-freeze. Doing the same calculation as before, 12 quarts * 0.33 = 3.96 quarts anti-freeze.
Now, to find the total quarts of anti-freeze in the combined solution, we simply add the two amounts together: 3.6 quarts + 3.96 quarts = 7.56 quarts.
The total amount of solution is 8 quarts (from the first solution) + 12 quarts (from the second) = 20 quarts.
To find the percent of anti-freeze in the final solution, we divide the total amount of anti-freeze by the total amount of solution: (7.56 quarts / 20 quarts) * 100 = 37.8%. Therefore, the resulting mixture is 37.8% anti-freeze.
#SPJ2
Answer:
x-intercept = 10
y-intercept = -8
Step-by-step explanation:
To identify the y-intercept, we will need to format the equation in the form . We can start by subtracting from both sides of the equation:
Divide both sides of the equation by the coefficient of , which is :
The is representative of the y-intercept in .
Identify in the equation :
Therefore, our y-intercept is -8.
To solve for the x-intercept, replace the in the equation with a zero:
Add to both sides of the equation:
You can go ahead and divide by to get rid of the fraction:
Divide both sides of the equation by the coefficient of , which is :
Therefore, our x-intercept is 10.
The solution to the equation 15.6 + (-1.8) is 13.8.
The equation to solve is 15.6 + (-1.8).
First, add the two numbers: 15.6 + (-1.8) = 13.8.
The result is 13.8.
In this equation, you're adding a positive value (15.6) and a negative value (-1.8), which results in a smaller positive value. When you add a positive number and a negative number, you can think of it as moving to the right on the number line (positive direction) but not as far as you would if you were only considering the positive value.
So, the solution to the equation 15.6 + (-1.8) is 13.8.
To know more about equation:
Since +(-) becomes (-) we can write the given problem as
15.6-1.8
Subtraction gives us 13.8
:)