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grandymaker [24]
4 years ago
7

If Joe earns $25 per hour during a normal week (40 hours per week), but earns $37.50 per overtime, how much does he earn in 48 h

ours?
Mathematics
1 answer:
Svetradugi [14.3K]4 years ago
4 0

Answer:

1300

Step-by-step explanation:

Regular time is 40 hours at 25 dollars per hour

Regular pay is 40*25 = 1000

He worked 48 hours, 48-40 =8, so he worked 8 hours overtime

8 hours at 37.50 overtime pay

8*37.50=300

His total pay is regular pay plus overtime pay

1000+300 = 1300

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3 years ago
An expirement consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Expr
ExtremeBDS [4]

Answer:

\dfrac{1}{12}

Step-by-step explanation:

Given:

Two fair number cubes i.e. two dice consisting the numbers 1, 2, 3, 4, 5, 6 on their faces and have equal probability of each number.

The dice are rolled.

To find:

Probability of getting the sum of two numbers as 4.

Solution:

First of all, let us have a look at the total possibilities when two dice are rolled:

([1][1], [1][2], [1][3], [1][4], [1][5], [1][6],

[2][1], [2][2], [2][3], [2][4], [2][5], [2][6],

[3][1], [3][2], [3][3], [3][4], [3][5], [3][6],

[4][1], [4][2], [4][3], [4][4], [4][5], [4][6],

[5][1], [5][2], [5][3], [5][4], [5][5], [5][6],

[6][1], [6][2], [6][3], [6][4], [6][5], [6][6])

These are total 36 possible outcomes.

For getting a sum as 4:

Possible number of favorable cases are 3 (as highlighted in BOLD in above)

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

Required probability is:

\dfrac{3}{36} = \bold{\dfrac{1}{12}}

5 0
3 years ago
A carnival is being set up in your hometown. From experience, the carnival organizer knows that the amount of money he will brin
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Answer:

$6,200

Step-by-step explanation:

The question is to find the expected value.

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Rainy: 20% = 20/100 = 0.2

Sunny: 50% = 50/100 = 0.5

Cloudy: Rest, which is 100 - (50+20) = 100 - 70 = 30% = 30/100 = 0.3

Now, the gain and loss is:

Rainy: Lose 5000 means -5000

Cloudy: Gain 4000 means +4000

Sunny: Gain 12,000 means +12,000

Now, the expected value is:

Expected Value = (0.2)(-5000) + (0.5)(12000) + (0.3)(4000) =  $6,200

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3 years ago
Log(2x-6)-log(x+4)=1
tino4ka555 [31]

Answer:

x=−7−√1614,−7+√1614

Step-by-step explanation:

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3 years ago
The local meteorologist is converting temperatures from Celsius to Fahrenheit. she knows that the formula for the conversion fro
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In this equation, we are solving for f. The first thing we have to do is get rid of the denominator, so we have to multiply both sides by 9, which leaves us with 9C=5*(f-32). Then we divide both sides by 5, which is 9/5C=f-32. The last thing we have to do is add 32 to both sides to isolate f, which gives us our final equation of (5/9)C+32=f. 
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