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jarptica [38.1K]
3 years ago
15

Serenity has some pennies and some nickels. She has no less than 18 coins worth at most $0.66 combined. If Serenity has 12 penni

es, determine the maximum number of nickels that she could have. If there are no possible solutions, submit an empty answer.
Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

Answer: 10 nickels

Step-by-step explanation:

A pennie is a cent or $0.01. Serenity has 12 pennies so the amount she has from pennies is:

= 12 * 0.01

= $0.12

The amount she has in nickels at most is therefore:

= 0.66 - 0.12

= $0.54

A nickel is $0.05 so the number of nickels are:

= 0.54/0.05

=  10.8 nickels

= 10 nickels

If she has 10 nickels then the total she would have is:

= (12 * 0.01) + (10 * 0.05)

= $0.62

<em>This fits the parameters </em>

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MrRissso [65]

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

standard deviation = √0.8444 = 0.9189

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

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3 years ago
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Answer:

18 inches of ribbon

Step-by-step explanation:

that is the procedure above

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3 years ago
The answer, and work shown.
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Y intercept= (0,2)

Explanation:
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3 years ago
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Answer:

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Step-by-step explanation:

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Where

(x_1,y_1) is the coordinate pair (any of the points given)

m is the slope. The ratio of change in y coordinates by x coordinates

Let's calculate the slope:

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Now, it is given "y - 4", so y_1 is 4, so they are using the coordinate pair (7,4). So we can say x_1 = 7

Now we have all the values, lets write the equation:

y-y_1=m(x-x_1)\\y-4=\frac{1}{5}(x-7)

This is the point-slope form.

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h = 3 feet


Sub and solve

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Area = 36/2

Area = 18 Square feet.

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