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Ksenya-84 [330]
2 years ago
12

Sara is multiplying two factors, one is a whole number and one with two decimal places. She says that the product should have tw

o decimal places. Is this correct? Explain
Mathematics
2 answers:
Finger [1]2 years ago
7 0
Yes because any number multiplied by a decimal gets moved over to how ever many decimal places it went. EX 5(.12) = .6. Every time multiplying with a decimal, the answer will always be smaller and include a decimal.
Alik [6]2 years ago
3 0
Yes, that is correct.
Hope this helps!
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What is the length of EF in the right triangle below?
Lyrx [107]

Answer:

\sqrt(217)

Step-by-step explanation:

(19)^2=(12)^2

361 - 144 + 217

\sqrt(217)


8 0
2 years ago
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A sequence of two transformations that can be used to show that polygon ABCDE is congruent to polygon GFJIH is followed by .
choli [55]

Answer:

<h2>A rotation -90° around point I.</h2><h2>A translation upwards 2 units.</h2><h2>Step-by-step explanation:</h2>

The given figures are attached.

We have to find two transformations that help to show that both polygon are congruent.

First transformation would be a rotation -90° around point I.

Second transformation would be a translation upwards 2 units.

Applying these transformation, we would have both polygons at the same position, that will show the congruence between them.

5 0
2 years ago
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A company receives shipments of a component used in the manufacture of a component for a high-end acoustic speaker system. When
Tanya [424]

Answer:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

Step-by-step explanation:

For this case we have a sample size of n = 250 units and in this sample they found that 24 units failed one or more of the tests.

We are interested in the proportion of units that fail to meet the company's specifications, and we can estimate this with:

\hat p = \frac{24}{250}= 0.096

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The confidence interval for a proportion is given by this formula  

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}  

For the 98% confidence interval the value of \alpha=1-0.98=0.02 and \alpha/2=0.01, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=2.33  

And the margin of error would be:

ME= 2.33*\sqrt{\frac{0.096*(1-0.096)}{250}}= 0.0434

4 0
2 years ago
A salesman has a base salary $2600 per month and makes 3 commission on each unit sold. If his total annual compensation is $48,0
nevsk [136]

Answer:

Each unit cost $800

Step-by-step explanation:

Annual compensation = $48,000

Annual number of units sold = 2000

Commission on each item sold = 3%

Compensation for 2000 units = $48,000

Compensation for 1 unit = $48,000/2000 = $24

Cost of one unit = compensation for one unit ÷ commission on one unit = $24 ÷ 3% = $24 ÷ 0.03 = $800

8 0
2 years ago
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Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the
STatiana [176]
480 pennies.

25% are dated before 1980, therefore:
1200(total):100 = 12 (1%)
12(1%)x25 = 300 (25%)

35% are dated from 1980 to 2000, therefore:
12(1%)x35 = 420 (35%)

25% are dated before 1980, 35% are dated from 1980 to 2000 and the rest are dated after 2000.
25% + 35% = 60%.
300(25%) + 420(35%) = 720.
60% = 720.
100%-60% = 40%.
40% is the amount of pennies that are dated after 2000.

The total (100%) of the pennies is 1200.
We also know that 60% of the total (1200) is 720.

1200(100%) - 720(60%) = 480(40%).

Therefore, the amount of pennies dated after 2000 in Russell’s Collection is 480.
7 0
2 years ago
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