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zmey [24]
3 years ago
6

BillieÍs monthly cell phone bill includes the cost of cell phone service, 15% tax on the cost of the cell phone service, and a $

9.25 data fee. BillieÍs monthly cell phone bill totals $61.
What is the cost of the cell phone service before tax is added?
Mathematics
1 answer:
dem82 [27]3 years ago
6 0
X - <span>the cost of cell phone service before tax is added

</span>x+15\%x+9.25=61&#10;\\x+ 0.15x=61-9.25&#10;\\1.15x=51.75&#10;\\x= \frac{51.75}{1.15}&#10;\\x= 45<span>
</span>
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The age of some lecturers are 42,54,50,54,50,42,46,46,48 and 48 calculate the mean age and standard deviation
rjkz [21]

Answer:

Mean age: 48

Standard deviation: 4

Step-by-step explanation:

a) Mean

The formula for Mean = Sum of terms/ Number of terms

Number of terms

= 42 + 54 + 50 + 54 + 50 + 42 + 46 + 46 + 48+ 48/ 10

= 480/10

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The mean age is 48

b) Standard deviation

The formula for Standard deviation =

√(x - Mean)²/n

Where n = number of terms

Standard deviation =

√[(42 - 48)² + (54 - 48)² + (50 - 48)² +(54 - 48)² + (50 - 48)² +(42 - 48)² + (46 - 48)² + (46 - 48)² + (48 - 48)² + (48 - 48)² / 10]

= √-6² + 6² + 2² + 6² + 2² + -6² + -2² + -2² + 0² + 0²/10

=√36 + 36 + 4 + 36 + 4 + 36 + 4 + 4 + 0 + 0/ 10

=√160/10

= √16

= 4

The standard deviation of the ages is 4

3 0
4 years ago
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A line passes through the points (–5, 2) and (10, –1). Which is the equation of the line?
beks73 [17]

Slope = (2 + 1) / (-5 - 10) = -3/15 = - 1/5

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y = -1/5 x + 1

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4 years ago
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