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frez [133]
3 years ago
5

The point (2, 1) is on the line given by which equation below? A. y=x+1 B. y = 2x C y = 1/2x D. Y = -2x

Mathematics
1 answer:
Murrr4er [49]3 years ago
4 0

Answer:

C. y = 1/2x

Step-by-step explanation:

We can check to see which of the equations passes through (2,1) by substituting the point's x and y values into the options, then checking to see if the result is a true statement.

Let's try this with option C, y = \frac{1}{2} x. To substitute the x and y values of (2,1) into the equation, substitute 2 for x and 1 for y. Then, solve:

y = \frac{1}{2} x\\\\1 = \frac{1}{2} (2)\\1 = 1

1 does equal 1, so the result is a true statement. Option C is the answer.  

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A set of wrist watch prices are normally distributed with a mean of 767676 dollars and a standard deviation of 101010 dollars. W
Akimi4 [234]

Answer:

0.8224

Step-by-step explanation:

Data

  • mean: $76
  • standard deviation, sd: $10
  • first value of interest, x1: $63
  • second value of interest, x2: $90

z-score for x1:

z1 = (x1 - mean)/sd = (63 - 76)/10 = -1.3

z-score for x2:

z2 = (x2 - mean)/sd = (90 - 76)/10 =  1.4

The  proportion of wrist watch prices are between $63 and $90 is:

P(z1 < z < z2) = P(z < 1.4) - P(z < -1.3)

P(z < 1.4) = 0.9192 (see first picture attached)

P(z < -1.3) = 0.0968 (see second picture attached)

P(z1 < z < z2) = 0.9192 - 0.0968 = 0.8224

7 0
3 years ago
10 points
aivan3 [116]

Answer:

20.18

Step-by-step explanation:

Greatest number= 35.18

Least number=15

Difference between the twain=20.18

5 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

Given shape is of a trapezoid:

area \: of \: trapezoid  \\ =  \frac{1}{2}  \times (4 + 2) \times 2 \\  \\  = 6 \:  {units}^{2}

Area of shape = area of square + area of triangle

= 2^2 + \frac{1}{2} \times 2\times 2\\= 4 + 2\\= 6\: units^2 \\

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