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3 years ago

What are the coordinates of D’

Mathematics

1 answer:

agasfer [191]3 years ago

3 0

Answer:

(-2,-1)

Step-by-step explanation:

Reflection across the x-axis is: $(x,y)\rightarrow(x,-y)$

We need to multiply the y-value of the pre-image by negative one to get reflected across the x-axis.

1 * -1 = -1

So:

$(-2,1)\rightarrow(-2,-1)$

D' should be (-2,-1).

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3 years ago

Lincoln High schools basket ball team won the regional playoffs scoring a total of 60 points, not including free throws. The tea

CaHeK987 [17]

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Step-by-step explanation:

Let x be the number of 2 point baskets made and y be the number of 3 point baskets made

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3 years ago

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, $(2\times4)=8$ .

Compute the probability of exactly 7 defects in 4 units as follows:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

Thus, the probability of exactly 7 defects in 4 units is 0.14.

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3 years ago