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2 months ago

What is the best estimate for the product of 289 and 7

Mathematics

2 answers:

Inessa [12.5K]2 months ago

7 0

Estimate: 289 × 7 ≈ 3000

Additional details

Using rounding with whole numbers helps produce quick estimates for computations. Such approximations act as checks to determine whether a calculated result is reasonable.

When rounding to the nearest hundred, examine the tens digit.

1. If the tens digit is 1–4, drop the tens and ones (round down).

Example: 735 → 700

2. If the tens digit is 5–9, increase the hundreds place by one (round up).

Example: 279 → 300

For estimating 289 × 7, apply rounding like this:

1. Round 7 up to 10 because it is greater than 5.

2. Round 289 to 300 since the tens digit is 8.

Thus the estimated multiplication is:

10 x 300 = 3000

To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
(1+2+3+4+5+6+7) =28/7
= 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
= -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
= 12/7
= 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143

4 0

1 month ago

Which figure represents the image of parallelogram LMNP after a reflection across the line y=x?

Zina [12379]

Answer:c

Step-by-step explanation:

3 0

1 month ago

Read 2 more answers

While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear

zzz [12365]

Given that the relationship is linear.

The equation can be expressed as y = mx + c.

Substituting, when x = 0, we have y = 32.

Thus, 32 = c.......( 1 )

Then, when x = 100, y results in 212.

Which gives us:

212 = 100m + c.......( 2 )

By equating equations 1 and 2, we obtain:

100m = 212 - 32

Solving for x yields 1.8.

The final equation is therefore y = 1.8x + 32.

Hence, this represents the required solution.

7 0

2 months ago

A taxi charges a flat rate of $3.00, plus an additional $0.50 per mile. Carl will only take the taxi home if the cost is under $

PIT_PIT [12445]

Define x as the distance in miles. This scenario can be expressed with the inequality 0.5x + 3 < 10, where x corresponds to the miles traveled. To solve this, begin by subtracting 3 from each side, followed by dividing everything by 0.5. The outcome indicates x < 14, meaning Carl can cover less than 14 miles, though he is 15 miles away from his destination; therefore, he will opt for a bus instead.

6 0

2 months ago

Read 2 more answers

What is the best estimate for the product of 289 and 7

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