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3 years ago

14

What is the image point of (-4,2)(−4,2) after a translation left 1 unit and down 2 units?

1 answer:

Dennis_Churaev [7]3 years ago

5 0

Answer

I think it's going to be (-5,0)

Step-by-step explanation:

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An object travels back and forth along a straight line. Its velocity, in centimeters per second, is given by the function v(t) =

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Answer: 13 cm/s , B on Edgenuity

Step-by-step explanation:

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Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather

Greeley [361]

Answer:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (2,13090)$

$y = 1812.5x + 4027.5$

$y_0 = 4027.5$ --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

$(x_1,y_1) = (1,5840)$

$(x_2,y_2) = (5,13090)$

Next, we calculate the slope (m) using:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{13090 - 5840}{5 - 1}$

$m = \frac{7250}{4}$

$m = 1812.5$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

$y = 1812.5(x - 1) + 5840$

$y = 1812.5x - 1812.5 + 5840$

$y = 1812.5x + 4027.5$

To calculate the y intercept, substitute 0 for x

$y_0 = 1812.5*0 + 4027.5$

$y_0 = 0 + 4027.5$

$y_0 = 4027.5$

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3 years ago

The amount of money spent on textbooks per year for students is approximately normal.

Ostrovityanka [42]

Answer:a

a

$336.04 < \mu < 443.96$

b

The margin of error will increase

c

The margin of error will decreases

d

The 99% confidence interval is $0.4107 < p < 0.4293$

Step-by-step explanation:

From the question we are told that

The sample size $n = 19$

The sample mean is $\= x = \$\ 390$

The standard deviation is $\sigma = \$ \ 120$

Given that the confidence level is 95% then the level of significance is mathematically represented as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table

So

$Z_{\frac{\alpha }{2} } = 1.96$

The margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 1.96 * \frac{120}{\sqrt{19} }$

=> $E = 53.96$

The 95% confidence interval is

$\= x - E < \mu < \= x + E$

=> $390 - 53.96 < \mu < 390 - 53.96$

=> $336.04 < \mu < 443.96$

When the confidence level increases the $Z_{\frac{\alpha }{2} }$ also increases which increases the margin of error hence the confidence level becomes wider

Generally the sample size mathematically varies with margin of error as follows

$n \ \ \alpha \ \ \frac{1}{E^2 }$

So if the sample size increases the margin of error decrease

The sample proportion is mathematically represented as

$\r p = \frac{210}{500}$

$\r p = 0.42$

Given that the confidence level is 0.99 the level of significance is $\alpha = 0.01$

The critical value of $\frac{\alpha }{2}$ from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} }* \sqrt{ \frac{\r p (1- \r p )}{n} }$

=> $E = 0.42 * \sqrt{ \frac{0.42 (1- 0.42 )}{ 500} }$

=> $E = 0.0093$

The 99% confidence interval is

$\r p - E < p < \r p + E$

$0.42 - 0.0093 < p < 0.42 + 0.0093$

$0.4107 < p < 0.4293$

4 0

3 years ago

What is the scale factor to go from small triangle to the large triangle?

Elis [28]

Divide both numbers in one of the ratios by their highest common factor. This will give you the scale factor of the bigger triangle to the smaller triangle.

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3 years ago