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iragen [17]
2 years ago
11

15. Edgar Anderson earns $200 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2

,500, what is his gross pay for that week?
A. $350
B. $525
C. $575
D. $425

16. Which one of the following statements expresses a true proportion?
A. 14 : 6 = 28 : 18
B. 42 : 7 = 6 : 2
C. 2 : 3 = 3 : 2
D. 3 : 5 = 12 : 20
Mathematics
1 answer:
Gwar [14]2 years ago
6 0
15. 

2500 X 15 = 37500
37500 ÷ 100 = 375
375 + 200 = 575
The answer is C.


16. 
The easiest way to answer this question is by going through each answer one by one: 

14:6 = 28:18
28 <span>÷ 14 = 2
</span>18 <span>÷ 6 = 3
</span>Since both numbers were multiplied by different numbers, we can establish that this is not a true proportion. 

42:7 = 6:2 
42 ÷ 7 = 6
7 ÷ 7 = 1
42:7 = 6:1
By dividing both numbers by the same number, we can establish that the answer is wrong. 

2:3 = 3:2
This is obviously wrong. That is because, in ratios, the order counts. So the first 3 is more than the first 2, therefore the second number on the other side of the ratio should be more than the first. 

3:5 = 12:20
12 <span>÷ 3 = 4
</span>20 <span>÷ 5 = 4
</span>Since both numbers were multiplied by the same number, this is a true proportion. 

The answer is D.

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Answer:

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Step-by-step explanation:

Empirical rule establishes, for a  normal distribution with mean μ and σ as standard deviation:

In interval   μ  ±  σ    or   ( μ  +  σ ;  μ  -  σ) we should find 68.27 % of all values of the population, and by simmetry 68.27/2 = 34,14 % should be over the mean and the other half would  be values below the mean

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μ  +  σ  =  44 + 10  =  54

And

μ  -  σ  = 44 - 10   = 34

a) Then  68,34 % of values will fall in this interval

We know now that value 34 is 1* σ   below the mean, and is at the limit of 34,14 %

b) μ  +  2*σ  =   44 * 2*10  =  44 + 20  =  64

64 is the upper limit for the interval   μ  +  2*σ  and we know that 95.45 % of all values will fall between (  μ  -  2*σ  ;  μ  +  2*σ ) and by simmetry just one side of this interval (the right side ) will have 95.45/2 = 47;73 %

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

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