Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability that Jerome will get a green or yellow marble on the first draw and a pink on the second draw?
Answers
To calculate this, a multiplication rule and an addition rule are used.
There are in total 20 marbles:
3 green + 4 yellow + 5 blue + 8 pink = 20 marbles.
The addition rule is used to calculate the probability of one of the events from multiple pathways. If you want that only one of the events happens, you will use the addition rule. We have two events from multiple pathways:
1. The probability that Jerome will get a green marble on the first draw is 3/20:
Of all 20 marbles, 3 of them are green. The probability that Jerome will get a green marble is 3/20.
2. The probability that Jerome will get a yellow marble on the first draw is 4/20:
Of all 20 marbles, 4 of them are yellow. The probability that Jerome will get a green marble is 4/20.
- Using the addition rule, the probability that Jerome will get a green or yellow marble on the first draw is 7/20:
3/20 + 4/20 = 7/20
The multiplication rule calculates the probability that both of two events will occur. In this method, the probabilities of each event are multiplied. Here we have two events:
1. The probability that Jerome will get a green or yellow marble on the first draw is 7/20.
2. The probability that Jerome will get a pink on the second draw is 8/20:
Of all 20 marbles, 8 of them are pink. The probability that Jerome will get a pink marble is 8/20.
- Using the multiplication rule, the probability that Jerome will get a green
or yellow marble on the first draw and a pink on the second draw is 7/50:7/20 × 8/20 = 56/400 = 7/50
Answer:
he is correct
Step-by-step explanation:
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Janelle learns 4 new appetizer recipes during each week of culinary school. After9 weeks of culinary school, how many total appetizer recipes will Janelle know
income taxes?
Answers
9514 1404 393
Answer:
$2996
Step-by-step explanation:
3.5% of $85,600 is ...
0.035 × $85,600 = $2996
Braeden will pay $2,996 in income taxes.
Answers
Answer:
The solution of the system of the equation is (2, 2)
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + y = 8 ⇒ (1)
∵ 3x - y = 4 ⇒ (2)
→ Add equations (1) and (2) to eliminate y
∴ (3x + 3x) + (y + -y) = (8 + 4)
∴ 6x + 0 = 12
∴ 6x = 12
→ Divide both sides by 6 to find x
∵
∴ x = 2
→ Substitute the value of x in equation (1) to find y
∵ 3(2) + y = 8
∴ 6 + y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + y = 8 - 6
∴ y = 2
∴ The solution of the system of the equation is (2, 2)
Answers
First, subtract 2 from both sides. / Your problem should look like:
Second, simplify. / Your problem should look like:
Third, subtract 2w from both sides. / Your problem should look like:
Fourth, subtract 3w - 2w to get w. / Your problem should look like:
Answer: w < 3
Answers
7x + 6y = 31
Answers
The solution is, (1,4) is the solution of the system of equations and choose the correct ordered pair.
4x + 3y = 16
7x + 6y = 31
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
equation: 1
4x+3y=16
y=(16-4x)/3
equation: 2
7x+6y=31
y=(31-7x)/6
now, we have,
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1
we get,
4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4
so, we have,
x=1, y=4
therefore the answer is B (1,4)
To learn more on equation click:
#SPJ2
y=(16-4x)/3 y=(31-7x)/6
(16-4x)/3 = (31-7x)/6
6(16-4x) = 3(31-7x)
96-24x=93-21x
3=3x
x=1
4x+3y=16, x=1
4(1)+3y=16
4+3y=16
3y=12
y=4
x=1, y=4 therefore the answer is B (1,4)
Answers
The number of possible batting lineups is 720
Explanation
Total number of players in the team = 9
The center fielder must bat fourth, the second baseman must bat third and the pitcher last. That means, 3 slots in the batting line-up are already assigned to 3 players.
So, the remaining (9 - 3) = 6 players will be assigned to remaining 6 slots.
Thus, the possible number of ways so that 6 players can be assigned to 6 slots will be: