Number of returns = 47
Number of returns that contain errors = 5
Number of returns that does not contain error = 47 - 5 = 42
P(selecting none that contains error in the unreplaced selection) = 42/47 x 41/46 x 40/45 = 68880 / 97290 = 0.708
option C is the correct answer.
Answer:
3x^2 + 3 --> 6, 15, 30, 51
2x^2 - 1 --> 1, 7, 17, 31
x^2 + 2 --> 3, 6, 11, 18
Step-by-step explanation:
Let's start with the first equation; 3x^2 + 3
Substitute 1 (the first digit in a sequence) for x.
3(1^2) + 3
3(1) + 3
3 + 3 = <u>6</u>
3(2^2) + 3 Then the second digit.
3(4) + 3
12 + 3 = <u>15</u>
Since the two numbers we have so far are 6 and 15, there is only one sequence this could match. 6, 15, 30, 51.
2(1^2) - 1
2(1) - 1
2 - 1 = <u>1</u>
This equation represents 1, 7, 17, 31.
These same steps apply to the other equation as well.
1^2 + 2, then 2^2 + 2, then 2^2 + 2, and so on. (But we don't need to do extra work to figure that out.)
Answer:
5.5
Step-by-step explanation:
The volume of a sphere is represented by the formula 4/3πr^3. So, if we set 4/3πr^3 equal to 2048/3, we can start solving. Start by multiplying both sides by 3/4, the reciprocal of 4/3 to get rid of the fraction. This gives us πr^3 = 512. Divide 512 by π to get 163.1 (when rounded to the nearest tenth). This leaves us with r^3 = 163.1; find the cubic root of 163.1, which is 5.5, to get r
(a more exact answer is 5.4631958645870141851784948846314)
Hence , the housing expense is mounted expense , food expense is variable expense, insurance and expense is variable expense and emergency fund is mounted expense.
- Fixed expenses: These are prices that mostly stay constant, like your monthly rent or mortgage.
- Variable expenses: These are prices that fluctuate or are unpredictable, like feeding out or automotive repairs.
Fixed expense and variable expense:
Housing expense refers to mounted expense since the House rent remains constant per month for many years and afterward, it should modification.
Food expense refers to variable expense that since family doesn't have constant food a day and therefore the rate of purchase of food would possibly modification a day within the market.
Insurance refers to the variable expense because the there is chances of getting sick all members in a mother as well as not at any member get sick .
Emergency fund refers to mounted expense as it is fixed price everyone has to give for future .
Learn additional concerning the expense here:
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