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monitta
3 years ago
9

What is the y coordinate of the point that divides the

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

the y coordinate is 5

Step-by-step explanation:

In the figure attached, the  directed line segment is shown.

J is located at (-3, 1) and K is located at (-8, 11)

run: x2 -x1 = -8 - (-3) = -5

rise: y2 - y1 = 11 - 1 = 10

Taking J as reference, the coordinate of the point that divides the  directed line segment from J to k into a ratio of 2:3 is:

c = 2/(2+3) = 0.4

(x1 + c*run, y1 + c*rise)

(-3 + 0.4*-5, 1+0.4*10)

(-5, 5)

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Answer:

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Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

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(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

=P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151

we get the probability that the battery life is at least 10.1 hours is 0.1151

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3 years ago
How do you write forty million eighty-one thousand in standard form
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Luda [366]
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16x+14y=8 <br> -63x-14y=133
artcher [175]

Answer:

(-3, 4)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Algebra I</u>

  • Solving systems of equations using substitution/elimination
  • Solving systems of equations by graphing

Step-by-step explanation:

<u>Step 1: Define Systems</u>

16x + 14y = 8

-63x - 14y = 133

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Elimination</em>

  1. Combine 2 equations:                    -47x = 141
  2. Divide -47 on both sides:               x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                    16x + 14y = 8
  2. Substitute in <em>x</em>:                                     16(-3) + 14y = 8
  3. Evaluate multiplication:                       -48 + 14y = 8
  4. Add 48 on both sides:                        14y = 56
  5. Divide 14 on both sides:                      y = 4

<u>Step 4: Graph Systems</u>

<em>Check the solution set.</em>

4 0
2 years ago
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