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Alika [10]
3 years ago
6

If RT = 6 and RS = 9, then RX = A - sqrt(54) B - 13.5 C - 7.2 D - 4

Mathematics
1 answer:
wolverine [178]3 years ago
5 0

Answer:

Option D RX=4 units

Step-by-step explanation:

we know that

<em>In the right triangle RTS</em>

The cosine of angle TRS is equal to

cos(TRS)=RT/RS

substitute

cos(TRS)=6/9 -----> equation A

<em>In the right triangle RTX</em>

The cosine of angle TRX is equal to

cos(TRX)=RX/RT

substitute

cos(TRX)=RX/6 -----> equation B

∠TRS=∠TRX -----> is the same angle

Match equation A and equation B

6/9=RX/6

RX=6*6/9=4 units

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The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to
Anon25 [30]

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

n = 80, \pi = \frac{26}{80} = 0.325

Then, the <em>margin of error</em> is of:

M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524

More can be learned about the z-distribution at brainly.com/question/25890103

5 0
2 years ago
Jan has $30. Brenda has $66. How many DVDs can they buy with their total amount if one DVD costs $12?
boyakko [2]

Answer: they can buy about 8 dvds

Step-by-step explanation:

this is because 30 + 66 = 96 and if you do 96 divided by 12 it gives you 8

7 0
1 year ago
Read 2 more answers
A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of brass?
enyata [817]

The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper

<h3>Calculation of number of pounds of copper</h3>

The percentage of copper in the brass = 65%

Therefore the quantity of copper in the brass = 65/100= 0.65 pounds

This means that 1 pound brass contains = 0.65 pounds of copper

The quantity of copper in 120 pounds of brass = 120 * 0.65

                                                                             = 78 pounds of copper.

Learn more about copper here:

brainly.com/question/24856041

#SPJ1

7 0
2 years ago
C6.1 PA1 short term decision Artisan Metalworks has a bottleneck in their production that occurs within the engraving department
laila [671]

Answer: $4850

Step-by-step explanation:

The other information related to the question is:

Direct materials = $3.50

Direct labor = $1.10

Variable overhead = $0.45

Fixed overhead = $2.80

Total = $7.85

Based on the information given in the question, the increase in the profit will be calculated as the contribution from the 3000 extra units minus the worker's salary.

Contribution from 3000 units will be:

= (Selling price - Direct materials - Direct labor - Variable overhead) × 3000

= ($25 - $3.50 - $1.10 - $0.45) × 3000

= $19.95 × 3000

= $59850

Increase on Profit:

= $59850 - $55000

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5 0
3 years ago
A withdrawal of $50 is negative or positive?
prisoha [69]
A withdrawal of $50 is negative because you are taking money out of your account and your money in your account is getting less than what it was before.
8 0
3 years ago
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