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Serga [27]
3 years ago
11

Write an equation to describe the relationship between x and y.

Mathematics
2 answers:
sesenic [268]3 years ago
5 0

Answer:

y=4.5x

Step-by-step explanation:

I luv ur profile picture! (:

Igoryamba3 years ago
3 0

Answer:

y = 4.5x

Step-by-step explanation:

<u>Given:</u>

  • x= 2 ⇒ y=9
  • x=5 ⇒ y=22.5
  • x=8 ⇒ y=36

<u>We can see that:</u>

  • 9/2 = 22.5/5 = 36/8 = 4.5

<u>Therefore the relationship between x and y is:</u>

  • y = 4.5x
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A researcher was testing the number of popcorn kernels that popped out of a mini bag of 100 kernels after being cooked for the s
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Answer:

The percentage of the bag that should have popped 96 kernels or more is 2.1%.

Step-by-step explanation:

The random variable <em>X</em> can be defined as the number of popcorn kernels that popped out of a mini bag.

The mean is, <em>μ</em> = 72 and the standard deviation is, <em>σ</em> = 12.

Assume that the population of the number of popcorn kernels that popped out of a mini bag follows a Normal distribution.

Compute the probability that a bag popped 96 kernels or more as follows:

Apply continuity correction:

P( X\geq 96)=P( X>96+0.50)

                 =P( X>96.50)\\=P(\frac{X-\mu}{\sigma}>\frac{96.50-72}{12})\\=P(Z>2.04)\\=1-P(Z

*Use a <em>z</em>-table.

The probability that a bag popped 96 kernels or more is 0.021.

The percentage is, 0.021 × 100 = 2.1%.

Thus, the percentage of the bag that should have popped 96 kernels or more is 2.1%.

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3 years ago
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Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the l
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Answer:

( x , y ) = ( -1 , - 5 )

Step-by-step explanation:

Solution:-

- The rectangular coordinate system ( Cartesian ) is defined by two independent variables namely, "x and y".

- The values of both varibales lie on the horizontal and vertical line respectively, ( x & y ).

- The values on the horizontal axis also known as the x-axis is marked with a referece of x = 0 ( origin ). All the values to the right of the point of origin are denoted as positive units and all values to the left of the point of origin are denoted as negative units.

- Similarly, The values on the vertical axis also known as the y-axis is marked with a referece of y = 0 ( origin ). All the values to the above the point of origin are denoted as positive units and all values below of the point of origin are denoted as negative units.

- The axis are conventionally oriented such that 90 degrees angle is formed in between them and always denoted in the counter-clockwise direction.

In other words, if +x is pointing to the right then the +y will be pointed in the direction when +x is rotated counter clockwise to 90 degrees; hence, points upward.

- When Amanda starts off at the origin she is at the order pair  ( 0 , 0 ).

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Hence, she is at an ordered pair ( x , y ) = ( -1 , - 5 ) .

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3 years ago
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