Jack is playing a game where he flips a coin and rolls a number cube labeled 1 through 6. He listed the possible outcomes in the sample space shown below.{(H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}
Which two elements did he leave out by mistake?
(H, 1) and (T, 6)
(H, 6) and (T, 1)
(H, 2) and (T, 6)
(T, 1) and (T, 6)
Answers
Answer: The correct option is (A) (H, 1) and (T, 6).
Step-by-step explanation: Given that Jack is playing a game where he flips a coin and rolls a number cube labeled 1 through 6.
Jack listed the possible outcomes in the sample space 'S'' as follows:
S' = {(H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5)}
We are given to select the correct option that contains the two elements Jack left out by mistake.
The sample space for the event of flipping a coin is {H, T}
and
the sample space for the event of rolling a number cube labeled 1 through 6 is {1, 2, 3, 4, 5, 6}.
Let, 'S' represents the actual sample space for the event.
Then, we get
S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}.
Comparing S with S', the two missing elements were (H, 1) and (T, 6).
Thus, the correct option is (A).
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Answers
.06 is same as 6 without decimal point. And smallest place value is hundredth's (second place to right of decimal point),
so .06 = 6/100
now reduce (divide top & bottom by 2 to get)
3/50
hope that helps.
Answers
c = 25s^2
c = 25(3)^2
c = 225
Therefore, the cost would be 225.
Hope this answers the question. Have a nice day.
Answers
Answer:
skis and
snowboards were rented.
Step-by-step explanation:
Let the number of skis rented be and the number of snowboards rented be
.
If a total of people rented on a certain day, then the total number of skis and snowboards rented that particular day is also
.
This gives us the equation
.
If skis cost $ , then
number of skis cost $
.
If snowboards cost $ , then
number of snowboards cost $
.
The total cost will give us another equation,
From equation (1),
.
We put equation (3) into equation (2) to get,
We expand the brackets to obtain,
We group like terms to get,
This implies that,
We divide both sides by to get,
We put into equation (3) to get,
Therefore skis and
snowboards were rented.
Final answer:
To solve this problem, you can set up a system of equations where one equation represents the total number of skis and snowboards rented, and the other represents the total cost of those rentals. By solving this system, you can determine the number of skis and snowboards rented.
Explanation:
This problem is a classic example of a system of linear equations. Let's denote the number of skis rented as x and the number of snowboards rented as y. From the problem, we know that:
- x + y = 28 (The total number of skis and snowboards rented is 28)
- 16x + 19y = 478 (The total income from skis and snowboard rentals is $478)
By solving these two equations, we can find the values of x and y which represent the number of skis and snowboards rented respectively.
Learn more about System of linear equations here:
#SPJ3
A.
D.
Kilograms 5 8
Grams 5,000 8,000
Gallons
Cups
Yards
Feet
8
128 176
3
11
9
6
18
Centimeters 25
Millimeters 20 50
Pounds 11 14
Ounces 176 224
Answers
Answer:
To compare the ratios in the tables, we can use the cross multiplication method. This method involves multiplying the antecedent of one ratio by the consequent of the other ratio and comparing the products. For example, to compare the ratio of kilograms to grams in table A with the ratio of centimeters to millimeters in table D, we can do:
5 x 50 = 250 8 x 20 = 160
Since 250 > 160, the ratio in table A is greater than the ratio in table D.
Using this method, we can compare the ratios in each table with the ratio in the table above. We get:
Table A: 8 x 128 = 1024 and 3 x 176 = 528. Since 1024 > 528, the ratio in table A is greater than the ratio in the table above. Table B: 9 x 20 = 180 and 6 x 50 = 300. Since 180 < 300, the ratio in table B is less than the ratio in the table above. Table C: 11 x 224 = 2464 and 14 x 176 = 2464. Since both products are equal, the ratio in table C is equal to the ratio in the table above. Table D: See example above.
Therefore, the correct answer is table A, which represents a ratio that is greater than the ratio in the table above.