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3 years ago

The length of a rectangle is shown below:

Mathematics

2 answers:

Natalija [7]3 years ago

7 0

Answer:

The answer is option A. C(2, −2), D(−1, −2)

Step-by-step explanation:

The length of AB = 3 units

The area of the rectangle to be drawn is 12 square units

So, the width = The area/The length = 12/3 = 4 units

C and D be located vertically 4 units below A and B

So, C and D like the image of A and B with a transformation rule

(x,y) → (x , y-4)

The coordinates of A(-1,2) and B(2,2)

So, C and D are: (-1,-2) and (2,-2)

The answer is option A. C(2, −2), D(−1, −2)

Advocard [28]3 years ago

4 0

The answer is option A. C(2, −2), D(−1, −2)

Step-by-step explanation:

The length of AB = 3 units

The area of the rectangle to be drawn is 12 square units

So, the width = The area/The length = 12/3 = 4 units

C and D be located vertically 4 units below A and B

So, C and D like the image of A and B with a transformation rule

(x,y) → (x , y-4)

The coordinates of A(-1,2) and B(2,2)

So, C and D are: (-1,-2) and (2,-2)

The answer is option A. C(2, −2), D(−1, −2)

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Explain why a + b = d. B A C swer

bixtya [17]

Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Supplementary angles add up to 180°
Internal angles of a triangle add up to 180°

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

4 0

2 years ago

Given f(x)=8x+1 and g(x)=f(x-2) which equation represents g

castortr0y [4]

Given f(x) = 8x + 1 and g(x) = f(x − 2), which equation represents g substitute x-2 for x in f(x). we have. g(x)=8(x-2)+1. =8x-16+1. =8x-15.

Answer:

Step-by-step explanation:

4 0

3 years ago

How do you divide 6114 by 63

viva [34]

You put it in a calculator and you get 97.06349206.

8 0

3 years ago

The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:

klio [65]

Answer:

The probability table is shown below.

A Poisson distribution can be used to approximate the model of the number of hurricanes each season.

Step-by-step explanation:

(a)

The formula to compute the probability of an event E is:

$P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}$

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.

The table for the probabilities is shown below.

(b)

Compute the mean number of hurricanes per season as follows:

$E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}= 2.5882\approx2.59$

If the variable X follows a Poisson distribution with parameter λ = 7.56 then the probability function is:

$P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...$

Compute the probability of X = 0 as follows:

$P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075$

Compute the probability of X = 1 as follows:

$\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943$

Compute the probabilities for the rest of the values of X in the similar way.

The probabilities are shown in the table.

On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of X the Poisson probability is approximately equal to the empirical probability.

5 0

3 years ago

What is the mean for Doctor A’s data set on corrective lenses? What is the mean for Doctor B’s data set on corrective lenses? Wr

Nat2105 [25]

Answer: Doctor A: 751.6 Doctor B: 755.2 Doctor B has an average of 3.6 more patients wearing corrective lenses than Doctor A.

Step-by-step explanation:

To find the mean for corrective lenses, add up all of the numbers and divide by the number of data points.

Doctor A's mean:

Add up the data points: 745+726+769+765+756+742+747+748+770+738 = 7516. Count the number of data points to get 10. Divide 7516 by 10. 7516/10 = 751.6.

Doctor B's mean:

Add up the data points: 763+736+735+759+748+756+765+761+768+761 = 7552. Divide by 10. 7552/10 = 755.2

Difference:

755.2-751.6 = 3.6

4 0

2 years ago

Read 2 more answers