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3 years ago

What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?

Mathematics

1 answer:

jolli1 [7]3 years ago

5 0

Answer:

7.789

Step-by-step explanation:

i got it right and

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Which choice is the equation of a line that passes through (9, -3) and is parallel to the line represented by this equation? y=5

miskamm [114]

Answer:

$y+3=\frac{5}{3}(x-9)$ or $y=\frac{5}{3}x-18$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are the same

we have

$y=\frac{5}{3}x-4$

therefore

The slope m of the line parallel to the given line is

$m=\frac{5}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{5}{3}$

$point\ (9,-3)$

substitute

$y+3=\frac{5}{3}(x-9)$ ----> equation of the line in point slope form

step 3

Find the equation of the line in slope intercept form

$y=mx+b$

we have

$y+3=\frac{5}{3}(x-9)$

Isolate the variable y

$y+3=\frac{5}{3}x-15$

$y=\frac{5}{3}x-15-3$

$y=\frac{5}{3}x-18$

7 0

3 years ago

[100 POINTS]!!

Eva8 [605]

1sqmeter=100x100=100000sqcm
in 1sqcm there are 23/100=.23 grass plants
Therefore, there will be .23x100000=2300 grass plants in a sq.meter

5 0

3 years ago

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A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor

Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let X = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

3 0

3 years ago

Simplify 6|-3|-4|5| Show Work

kvv77 [185]

Problem: 6|-3|-4|5|
Whenever something is in: |21| in the lines, you would just count the number itself.
So it is: 6·3-4·5 which would equal: 6·3-4·5
The answer to 6·3 is 18, so its 18 minus the answer of 5·4 which is 20.
So its: 18-20= -2
~Hope i helped. :)

6 0

3 years ago

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What is the volume of the following rectangular prism?

Marianna [84]

Answer:

The volume is 7.9 units

Step-by-step explanation:

4 0

3 years ago

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