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MArishka [77]
3 years ago
14

Which pair of figures shows a dilation With a scale factor of 1 1/2?

Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0

Answer: QRS and TRU

Step-by-step explanation:

A dilation of 1 + 1/2 means that the second image is (1 + 1/2) times the lenght of the first one.

for this, you can chek with one of the sides of the triangles:

with the triangles QRS and TRU we have that the line RS has a lenght of 2 units, then the lenght of the RU must be 1 and 1/2 times that lenght:

RU = (1 + 1/2)*2 = 2 + 1 = 3 units

and we can see in the grap that the segment RU has a lenght of 3 units, so this is a dilation with a scale factor of 1 + 1/2

For the other 3 options we can see that in the top left one bot triangles are equal, and in the bottom two the dilation is witha scale factor of 2.

mart [117]3 years ago
4 0

Answer:

The third option QRS and TRU

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A cotton candy vendor has 9 cones of blue cotton candy to sell. If the blue cotton candy is 25% of the total number of cones, ho
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9 = 25%
25% * 4 = 100%
9 * 4 = 36
There are 36 cotton candy cones in total.
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3 years ago
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The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologi
Alex Ar [27]

This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

mean x' = 48,800

standard deviation σ = 16,800

at 95% confidence level;

∝ = 1 - 95% = 1 - 0.95 = 0.05

∝/2 = 0.05 / 2 = 0.025

z critical value, Z_{\alpha/2 = 1.96

now, confidence interval for population mean is given by the formula

x' ±  Z_{\alpha/2( σ/√n )

so we substitute

⇒ 48800 ±  1.96( 16800/√36 )

⇒ 48800 ±  1.96( 2800 )

⇒ 48800 ±  5488

⇒ 48800 -  5488, 48800 +  5488

⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

6 0
2 years ago
Its due today pls help ASAP
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Answer:

39

Step-by-step explanation:

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In 2010, the population of a city was 161,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 6.7%.
solniwko [45]

Answer:

99%

Step-by-step explanation:

2010 population = 161,000

From 2010 to 2015, the population grew by 8%.

2010 to 2015 = 161,000 + (8% of 161,000)

= 161,000 + (0.08 * 161,000)

= 161,000 + 12,880

= 173,880

2010 to 2015 = 173,880

From 2015 to 2020, it fell by 6.7%

2015 to 2020 = 173,880 - (6.7% of 173,880)

= 173,880 - (0.067 * 173,880)

= 173,880 - 11,649.96

= 162,230.04

2015 to 2020 = 162,230.04

what percent did the city grow from 2010 to 2020.

= 161,000 / 162,230.04 × 100

= 0.9924179270374 × 100

= 99.241792703743

Approximately, 99% to the nearest whole number

4 0
2 years ago
The sum of the quotient of a number and and 3 and 8 is 16 what is the number
zhuklara [117]
After having done this on paper:

\frac{n}{3} + 8 = 16

We want to isolate the variable, and the first step is to subtract the 8.

\frac{n}{3} = 8

Since the <em>n</em> is being multiplied by 3, and that = 8, we can multiply both sides by 3.

<em>n</em> = 24

Let me know if this helped you understand better.

Also, you can check this by substituting in 24 for <em>n</em>.
5 0
3 years ago
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