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nevsk [136]
3 years ago
6

How much pay does john receive if he gives half of his pay to family,250 to his landlord and has exactly 3/7 of his pay left ove

r
Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

John receives a pay of $3,500.00

Step-by-step explanation:

x = John's pay

x = 1/2x + 250 + 3/7x     [1/2 = 7/14 and 3/7 = 6/14]

x = 13/14x + 250

x - 13/14x = 13/14x - 13/14x + 250    [1x = 14/14]

1/14x = 250   [multiply both sides by 14]

x = 3500

Check:

3500 = 1/2(3500) + 250 + 3/7(3500)

3500 = 1750 + 250 + 1500

3500 = 3500

 

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Answer:

each coat $15

Step-by-step explanation:

$78-$18 divided by 4 =15

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A survey of 1282 student loan borrowers found that 440 had loans totaling more than $20,000 for their undergraduate education. G
Xelga [282]

Answer:

The 98% confidence interval of the proportion = (0.312, 0.374)

Step-by-step explanation:

(Give answers accurate to 3 decimal places.)

The formula for Confidence Interval of Proportion is given as:

p ± z × √p(1 - p)/n

Where p = Proportion = x/n

x = 440

n = 1282

p = 440/1282 = 0.34321372854

Approximately = 0.343

z = z-score of 98 % confidence interval

= 2.326

Confidence Interval =

= 0.343 ± 2.326 × √0.343(1 - 0.343)/1282

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= 0.343 ± 2.326 × √0.00017578081

= 0.343 ± 2.326 × 0.01325823555

= 0.343 ± 0.03083865589

0.343 - 0.03083865589

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0.343 + 0.03083865589

= 0.37383865589

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Therefore, the 98% confidence interval of the proportion = (0.312, 0.374)

6 0
2 years ago
1) g(n)= 3n - 4; Find g(-3)​
nalin [4]

Answer:

g(-3) = -13

Step-by-step explanation:

Plug in -3 for n in the equation:

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g(-3) = 3 * -3 = -9

g(-3) = -9 - 4

g(-3) = -13

-13 is your answer for g(-3).

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3 years ago
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2 At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three
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Let D be dogs and C be cats

<em>dogs, d, is initially five less than twice the number of cats, c</em>

D + 5 = 2C

<em>If she decides to add three more of each, the ratio  of cats to dogs will be</em>

D + 8 = 2C + 3

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Simply plug in the numbers

20 + 5 = 2(15)

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