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stepan [7]
3 years ago
14

For the ordered pair, give three other ordered pairs with θ between −360° and 360° that name the same point.

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0
<h2>Answer:(357^{0},330^{0}),(-3^{0},-30^{0}),(357^{0},-30^{0})</h2>

Step-by-step explanation:

For a ordered pair (\alpha ,\beta ),(\alpha -2n_{1}\pi ,\beta -2n_{2}\pi ) represents the same point in the cartesian plane where n_{1} and n_{2} are any integers.

Given point is (-3^{0},330^{0})

Taking n_{1}=-1,n_{2}=0,

(357^{0},330^{0})

Taking n_{1}=0,n_{2}=1,

(-3^{0},-30^{0})

Taking n_{1}=-1,n_{2}=-1,

(357^{0},-30^{0})

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Answer:

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

98 square feet

Step-by-step explanation:

The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =

15(2x + 7).

= 30x + 105 square feet

The error in Shawn’s expression is

= 15(2x + 7)

= 30x + 7 square feet

Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

30x + 105 square feet - 30x + 7 square feet

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2 years ago
The children in my subdivision were bored one summer and decided to hold a competition to see who could run to the end of the st
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Answer:

6.7% of children who finished the race in under 45 seconds.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 75 seconds

Standard Deviation, σ =  20 seconds

We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(finished the race in under 45 seconds.)

P(x < 45)

P( x < 45) = P( z < \displaystyle\frac{45 - 75}{20}) = P(z < -1.5)

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P(x < 45) = 0.067 = 6.7\%

6.7% of children who finished the race in under 45 seconds.

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3 years ago
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