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stiks02 [169]
3 years ago
11

A 95% confidence interval for the proportion of students achieving a reading achievement score that is above the standard set by

the teachers for a population of third grade students is (0.43, 0.49).
The margin of error of this interval is:

Group of answer choices

0.05

0.03

0.06

None of the above
Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0
Answer:

0.03

Explanation:

First, you subtract the upper bound of the confidence interval by the lower bound of the confidence interval. Then, you divide that number by 2 to get the margin or error.

In this case: (0.49 - 0.43)/2 = 0.03
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Balsamic vinegar <br><br> Amount: 1 cup<br><br> Unit cost: $12.70/quart<br><br> Total cost =
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4 years ago
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The nominal rate on Sarah’s loan is 7. 250%. If the interest is compounded monthly, what rate of interest is Sarah actually pa
ella [17]

The correct statement is that Sarah is paying interest compounded monthly at the rate of 7.496%.. So, the correct option from the above statement is B.  

Compound interest can be calculated by the way of applying the values to the formula given in the information.  

<h3>Compound Interest</h3><h3 />
  • Compound interest is best defined with the terms as interest given on accrued interest or the accumulated interest in addition to the interest on the principalprincipal amount.

  • The formula to calculate Compounded interest is as below,

  • \rm Compounded\ Interest = 10000(1+ \dfrac {0.0725}{12})^1^2\\\\\\\rm Compounded\ Interest =10000(1+0.006)^1^2\\\\\\\rm Compounded\ Interest =10749.58\\

  • The interest to be paid is calculated as $749.58 assuming that the principal was $10000 and the time for such loan was 1 year in the absence of information.

 

  •  Calculating further, we can find that the effective rate of interest on such a loan is at the rate of 7.496%, which is rounded off to the nearest three decimal places.

Hence, the correct option is B that the actual interest paid by Sarah at the rate of 7.250% for the period of 1 year will be effectively 7.496%

 

To know more about compound interest, click the link below.

brainly.com/question/25857212

5 0
3 years ago
Johnny invested $20,000.A portion returned 5% and another portion returned 8%. The total interest earned on the investment was $
damaskus [11]

Answer:

Amount invested that yielded interest of 5% is $15000 and amount invested that yielded interest of 8% is $5000

Step-by-step explanation:

Johnny invested $20,000

We are told that it consisted of 2 portions because one returned an interest of 5% and the other one 8%

Now, Let x be the amount invested that earned 5% and y be the amount invested that earned 8%

Thus:

x + y = 20000 - - - (eq 1)

The total interest earned on the investment was $1150

Thus;

5%x + 8%y = 1150

This can be rewritten as;

0.05x + 0.08y = 1150 - - -(eq 2)

From eq 1, let's make x the subject.

x = 20000 - y

Putting 20000 - y for x in eq 2 gives;

0.05(20000 - y) + 0.08y = 1150

1000 - 0.05y + 0.08y = 1150

Rearranging, we have;

0.03y = 1150 - 1000

0.03y = 150

y = 150/0.03

y = 5000

Thus,

x = 20000 - 5000

x = 15000

Thus,

Amount invested that yielded 5% is $15000 and amount invested that yielded 8% is $5000

3 0
3 years ago
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