Find the value of the expression
2r x s
for r = 2 and s = 4.
Answers
Answer:
16
Step-by-step explanation:
2rs
Let r=2 and s=4
2*2*4
4*4
16
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Which of the following would be a reasonable estimate for the weight of a pencil?a. 1 × 102 lb b. 1 × 10-20 lb c. 1 × 10-2 lb d. 1 × 1020 lb
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
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In a roll of a pair of fair dice, what is the probability of the outcome being either a multiple of 3 or an even number? Are these events mutually exclusive?
, mutually exclusive
, not mutually exclusive
, mutually exclusive
, not mutually exclusive
Answers
and don't see how it relates to the question.
There are 36 possible outcomes for the roll of a pair of dice.
According to your specifications, the successes are:
-- Multiples of 3:
1 ... 2 (3)
2 ... 1
3 ... 3 (6)
1 ... 5
5 ... 1
2 ... 4
4 ... 2
3 ... 6 (9)
6 ... 3
4 ... 5
5 ... 4
6 ... 6 (12)
(12 different outcomes)
-- Even numbers:
1 ... 1 (2)
1 ... 3 (4)
3 ... 1
2 ... 2
3 ... 3 (6)
1 ... 5
5 ... 1
2 ... 4
4 ... 2
2 ... 6 (8)
6 ... 2
3 ... 5
5 ... 3
4 ... 4
4 ... 6 (10)
6 ... 4
5 ... 5
6 ... 6 (12)
(18 different outcomes)
The events are NOT mutually exclusive.
A roll of 6 (5 ways) or 12 (1 way) meets both requirements.
Successful outcomes:
Multiples of 3 . . . . 12
Even numbers . . . 18
Duplicates . . . . 6
So there are 24 different successful outcomes.
Probability = (24) / (36) = 2/3 = (66 and 2/3) %
Answers
...................,
Answers
Answer:
the final cost of a box seat ticket is $21.60.
Step-by-step explanation:
To calculate the final cost of each type of ticket, we need to add the sales tax to the original ticket prices.
For the general admission ticket:
Original price = $15
Sales tax = 8% of $15 = 0.08 * $15 = $1.20
Final cost of general admission ticket = Original price + Sales tax = $15 + $1.20 = $16.20
Therefore, the final cost of a general admission ticket is $16.20.
For the box seat ticket:
Original price = $20
Sales tax = 8% of $20 = 0.08 * $20 = $1.60
Final cost of box seat ticket = Original price + Sales tax = $20 + $1.60 = $21.60
Therefore, the final cost of a box seat ticket is $21.60.
Answers
Answer:
Step-by-step explanation:
a. x = 8, y = 17
b. x = 6, y = 8
c. x = 8, y = 10
d. x = 8, y = 6
Answers
3x - 14 = x + 2
3x - x = 2 + 14
2x = 16
2x / 2 = 16/2
x = 8
To check: 3x - 14 = x + 2 ; 3(8) - 14 = 8 + 2 ; 24 - 14 = 10 ; 10 = 10
4y - 7 = y + 11
4y - y = 11 + 7
3y = 18
3y / 3 = 18 / 3
y = 6
To check: 4y - 7 = y + 11 ; 4(6) - 7 = 6 + 11 ; 24 - 7 = 17 ; 17 = 17
x-y=0
I have to solve by elimination.
Will someone help me please?
Answers
-9x + y = 16
+ x - y = 0
-8x + 0y = 16
Now that there are 0y, we can solve for x:
-8x = 16
divide both sides by -8
x = -2
To solve for y, plug the answer you got for x in to the original equations.
-9x + y = 16
-9(-2) + y = 16
18 + y = 16
y = -2
x - y = 0
-2 - y = 0
y = -2
x = -2 and y = -2
x-y=0
add the two equations, the y's cancel each other out
-8x=16
divide by -8
x=-2