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1 day ago

6289002 rounded to the nearest million

1 answer:

3 0

Utilizing commas makes it simpler to discern the figures.
6,289,002
The digit 6 occupies the millions spot. When rounding, if the subsequent digit is 5 or more, you will round up. Conversely, if the following digit is 4 or less, you will round down. Since the number following 6 is 2, rounding will lead to a decline. The closest million is therefore 6,000,000.

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Suppose that the last four months of sales were 8, 10, 15, and 9 units, respectively. Suppose further that the last four forecas

Leona [9271]

Response:

MAD value comes out to be 3.

Detailed Breakdown:

The given sales forecasts for the last four months are 5, 6, 11, and 12 units.

To calculate the Mean Absolute Deviation (MAD) for these forecasts:

The average of the forecasts across four months is $\frac{5 + 6 + 11 + 12}{4} = 8.5$ .

Thus, the total of absolute differences between the forecast values and the average is = |5 - 8.5| + |6 - 8.5| + |11 - 8.5| + |12 - 8.5| = 3.5 + 2.5 + 2.5 + 3.5 = 12.

Hence, the MAD value will be = $\frac{12}{4} = 3$ (Final Answer)

4 0

22 days ago

A school fundraiser sells 1,200 raffle tickets. Each ticket costs $2. There is one grand prize worth $100 and 5 smaller prizes w

Svet_ta [9518]

The expected loss is $1.83. Step-by-step explanation: The average value for each ticket is calculated as... ($100 + 5($20)) / 1200 = $200 / 1200 ≈ $0.1667 ≈ $0.17. Since purchasing a ticket costs $2.00, your anticipated value becomes... -$2.00 + 0.17 = -$1.83, leading to a loss of $1.83.

4 0

11 days ago

. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i

PIT_PIT [9121]

Answer:

Error made by Andrew: He identified incorrect factors based on the roots.

Step-by-step explanation:

The roots of the polynomial consist of: 3, 2 + 2i, 2 - 2i. By the factor theorem, if a is a root of the polynomial P(x), then (x - a) must be a factor of P(x). According to this premise:

(x - 3), (x - (2 + 2i)), (x - (2 - 2i)) represent the factors of the polynomial.

<pBy simplification, we obtain:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) as the respective factors.

This is where Andrew's mistake occurred. Factors should always be in the form (x - a), not (x + a). Andrew expressed the complex factors incorrectly, resulting in an erroneous conclusion.

Thus, the polynomial can be expressed as:

$(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0$

7 0

1 month ago

At a large company, employees can take a course to become certified to perform certain tasks. There is an exam at the end of the

Leona [9271]

Answer:

A Type II error occurs when the null hypothesis is not rejected, even when the alternative hypothesis is actually valid.

The implication is that the new method may be dismissed or altered despite it being a real enhancement.

Step-by-step explanation:

</pin>

5 0

1 month ago

Jalen is in a 24-hour dance-a-thon as part of a fundraiser. He raised $50 in the first hour of the competition, then another $60

zzz [9093]

Answer:

$786

Step-by-step explanation:

50, 60, 72

calculate the variance between the earnings from the first and second hours to obtain 10.

determine the difference between the second and third hours, resulting in 12.

it becomes clear that these differences are consistently increasing in even numbers starting from 10, such as 10, 12, 14, 16, 18, 20, 22, 24, 26, 28....etc

to compute the total income over the 24 hours, continue adding the next even number until the 24th hour

the total will be $786.

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8 days ago