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Nady [450]
2 years ago
6

carl earned $240 this week. this was $20 less than one-half the amount he earned last week which equation, when solved for x, gi

ves the amount carl earned last week?
Mathematics
1 answer:
Marysya12 [62]2 years ago
3 0

$520 was earned by carl in last week

Step-by-step explanation:

(1/2 X - 20 )  = 240

1/2 X = 240 +20 = 260

1/2 X = 240 +20 = 260

 X = 260÷1/2 = 520

X = 260÷1/2 = 520

verification

520 ÷2 = 260 - 20 = 240

520 ÷2 = 260 - 20 = 240

Hence proved

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
2 years ago
At a carnival, single rides cost $2 each, and all day ride passes cost $15. The total revenue for the day was $2,960. Which equa
mixas84 [53]
2x+15y=2,960 would be the equation
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Clay can run one lap around the track in 1/4 of an hour. How many hours will it take him to run 5 1/3 laps around the track?
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Answer: It will take him 1 hour and 35 min

8 0
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Anthony borrows $6.50 from a friend to pay for a sandwich and drink at lunch. Then he borrows $3.75 from his sister to pay a lib
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Money borrowed by Anthony from his friend for a sandwich and drink at lunch = $6.50

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Hence, the equation to express Anthony's total debt that day will be =

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Craig has $1850 dollars in a bank account that he uses to make automatic payments of $400.73 on his car loan. If Craig stops mak
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Given:

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When would automatic payments make the value of the account zero?

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