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emmainna [20.7K]
2 years ago
8

Jenn's phone has a fully charged battery. With normal usage, he phone will last 16 hours. How long will her battery last if it o

nly charged 30%?
Can you show the work please, thank you!
Mathematics
1 answer:
Citrus2011 [14]2 years ago
6 0

The correct answer is 4.8 hours

Explanation:

This mathematical problem can be solved by using the rule of three, which involves finding an unknown value by using three related values. The process is shown below:

1. It is known a fully charged battery (100% battery) lasts 16 hours. This can be represented as 100 = 16. But it is not know how much a 30% battery last; this can be represented as 30 = x.

2. Write all the values

100 = 16

30 = x

3. Cross multiply to create an equation and solve the equation

100 x = 48

x = 480 / 100

x = 4.8

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Answer: range= 26, variance= 80 and standard deviation= 8.94

Step-by-step explanation:

Range = highest - lowest

Range = 146 - 120

Range= 26

Let m be mean

M=mean=sum/n

Mean=(120+134+146+127+138+133) / 6

M=798/6

M=133

The standard deviation sample formula:

S.D = sqrt( Summation of |x-m|^2 / n-1)

Let start finding:

|x-m|^2

For 1st: |120-133|^2=169

For 2nd: |134-133|^2=1

For 3rd: |146-133|^2=169

For 4th: |127-133|^2=36

For 5th: |138-133|^2=25

For 6th: |133-133|^2=0

Summation of |x-m|^2 = 400

The standard deviation formula is :

S.D = sqrt( Summation of |x-m|^2 / n-1)

S.D= sqrt(400 / 5)

S.D=sqrt(80)

S.D= 8.94

Variance = (Summation of |x-m|^2 / n-1)

Variance= 400/5

Variance= 80

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The slope of the line below is -5. Which of the following is the point slope form of the line (2,-7)
Dominik [7]

Equation of the line in point slope form is y + 7 = -5(x - 2)

Step-by-step explanation:

  • Step 1: Given slope of the line is -5 and passes through the point (x1, y1) = (2,-7). Equation in point slope form is y - y1 = m(x - x1)

⇒ y - (-7) = -5(x - 2)

⇒ y + 7 = -5(x - 2)

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Well what two numbers multiply to get -8 and add to get -2?
Well, to get -8, we either have (-1,8),(-2,4),(-4,2),(-8,1)
8-1=7
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2-4=-2
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Thus it should be (-4,2),
This means we should get (X-4)(X+2)
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Answer: Due to its anonymous nature, if you lose your cash, it's gone. Payment cards can be cancelled and replaced swiftly and remotely. Whilst cash may offer you complete anonymity from data thieves, EMV chip enabled cards offer a more thorough form of payment authentication, providing an extra layer of payment security

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