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shutvik [7]
1 year ago
10

An irrational number between -2 and -1 a rational number between -2 and -1

Mathematics
1 answer:
leva [86]1 year ago
6 0

Answer:

An irrational number between -2 and -1 would be \frac{-\pi }{2}

A rational number between -2 and -1 would be -1.5

Step-by-step explanation:

\frac{-\pi }{2} = -1.570796... This number does not have repeating decimals, patterns, and it isn't a terminating decimal. It is irrational.

-1.5 is a terminating decimal, therefore it is rational, as well as between -2 and -1.

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Given that th<span>e coordinates of the vertices of △DEF are D(2, −1) , E(7, −1) , and F(2, −3) and the coordinates of the vertices of △D′E′F′ are D′(0, −1) , E′(−5, −1) , and F′(0, −3) .

Notice that the y-coordinates of the pre-image and that of the image are the same, which means that there is a reflection across the y-axis.

A refrection across the y-axis results in the change in sign of the x-coordinates of the pre-image and the image while the y-coordinate of the image remains the same as that of the pre-image.

A refrection across the y-axis of </span>△DEF with vertices D(2, −1) , E(7, −1) , and F(2, −3) will result in and image with vertices (-2, -1), (-7, -1) and (-2, -3) respectively.

Notice that the x-coordinate of the final image △D′E′F′ with vertices <span>D′(0, −1) , E′(−5, −1) , and F′(0, −3) is 2 units greater than the vertices of the result of recting the pre-image across the y-axis.

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3 years ago
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3 years ago
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The fill weight of a certain brand of adult cereal is normally distributed with a mean of 920 grams and a standard deviation of
gulaghasi [49]

Answer:

The probability that it will weigh more than 904 grams = 0.9452

Step-by-step explanation:

Given -

Mean (\nu ) = 920 grams

Standard deviation (\sigma  ) =10

Let X be the weight of a certain brand of adult cereal

if we select one box of cereal at random from this population

The probability that it will weigh more than 904 grams =

P(X> 304) = P(\frac{X - \nu }{\sigma }> \frac{904 - 920}{10})

                   = P(Z> -1.6)    Putting ( Z = \frac{X - \nu }{\sigma } )

                   = 1- P(Z<  -1.6)  Using Z table

                   = 1 - .0548

                   = 0.9452

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3 years ago
Resolva pelo método da adição:<br> {2x + 3y = 26<br> {3x + 2y =19
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Answer:

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