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vichka [17]
3 years ago
12

If APORASTU, what is the scale factor of APOR to ASTU? Ο Α. 5 Ο Ο Ο Β. 4 G. D

Mathematics
1 answer:
forsale [732]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original

scale factor = \frac{TU}{QR} = \frac{4}{20} = \frac{1}{5} → C

You might be interested in
For the diagram below figure b is a reflection of y=2x of the line y =x
Scilla [17]
The equation of the line would be y = (1/2)x.

To find the equation of a line that is reflected through the line y = x, we just switch the x and y. Then, solve for y.

y = 2x
x = 2y
0.5x = y


5 0
3 years ago
The average student-loan debt is reported to be $25,235. A student believes that the student-loan debt is higher in her area. Sh
yulyashka [42]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 25235

For the alternative hypothesis,

µ > 25235

This is a right tailed test.

Since the population standard deviation is not given, the distribution is a student's t.

Since n = 100,

Degrees of freedom, df = n - 1 = 100 - 1 = 99

t = (x - µ)/(s/√n)

Where

x = sample mean = 27524

µ = population mean = 25235

s = samples standard deviation = 6000

t = (27524 - 25235)/(6000/√100) = 3.815

We would determine the p value using the t test calculator. It becomes

p = 0.000119

Since alpha, 0.05 > than the p value, 0.000119, then we would reject the null hypothesis. There is sufficient evidence to support the claim that student-loan debt is higher than $25,235 in her area.

6 0
3 years ago
Can I get help? And please give the steps to how you got your answer.
lyudmila [28]

Answer:

D

Step-by-step explanation:

First, plot the points they gave you onto a graph (shown in the attached image). The slope is the rise (units up or down from a given point) over the run (units left or right from a given point).

So the slope is 6/4 because to get from the red point to the blue point, you rise 6, and run 4. And from blue to red you rise (remember rise goes up or down) 6 and run 4. 6/4 can be simplified to 3/2 so D is your answer :)

6 0
3 years ago
Read 2 more answers
A polygon has the following coordinates: A(-6,5), B(-1,5), C(5,3), D(-1,1), E(-6,1). Find the length of AE.
Wittaler [7]

Answer:c

Step-by-step explanation:

4 0
3 years ago
The population of big cats in Africa is increasing at a rate of 5% per year. At the
sesenic [268]

Answer:

a) 10,500 big cats

b) 13,401 big cats

c) 33 years

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:  

A = P (1 + r) t  

Where:  

p = original population  

r = growing rate (decimal form; 5/100= 0.05)

t= years  

A = population after t years  

Replacing with the values given:  

a) At 2005, 1 year passed since 2004 (t=1)

A = 10,000 (1+ 0.05)^1

A = 10,500 big cats

b)

At 2010, 6 years passed since 2004 (2010-2004= 6)

A = 10,000 (1+ 0.05)^6

A = 13,401 big cats

c)

50,000 < 10,000 (1+ 0.05)^t

Solving for t:

50,000/10,000 < 1.05^t

5 < 1.05^t

log 5 < log 1.05^t

log 5 < t ( log 1.05)

log 5 / log 1.05 < t

32.9 years < t

33 years  = t

Feel free to ask for more if needed or if you did not understand something.  

6 0
3 years ago
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