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satela [25.4K]
3 years ago
13

Two similar FOR SALE signs have a scale factor of 5:3. The largest sign’s perimeter is 60 inches. Find the small sign’s perimete

r.
Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

The small sign's perimeter is 36 inches

Step-by-step explanation:

The scale factor between two figures is obtained by:

Scale = \frac{P_{l}}{P_{s}}

So,

We know that

Scale= 5:3\\P_l = 60\ in\\

Putting the values in the above equation of scale factor we get

\frac{5}{3} = \frac{60}{P_s}

Cross multiplication

5 * P_s = 60*3\\5P_s = 180

Dividing both sides by 5

\frac{5P_s}{5} = \frac{180}{5}\\P_s = 36

Hence,

The small sign's perimeter is 36 inches

Keywords: Scale factor, Ratio

Learn more about scale factor at:

  • brainly.com/question/8799684
  • brainly.com/question/8805387

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Area = 7 * 7

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Answer:
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A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t
forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

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Hence probability =0.4998

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3 years ago
Read 2 more answers
Which number is between 7.17 x 10^4 and 8.17 10^5 A. 6.92 x 10^4 B. 7.2 x10^9 C. 7.57 x 10^3 D. 8.053 x 10^4
Serga [27]

Answer:

D. 8.053 x 10^4

Step-by-step explanation:

Given :

7.17 x 10^4 and 8.17 10^5

The number in between the two Given numbers should be greater Than 7.17*10^4 but less than 8.17*10^5

A. 6.92 x 10^4 - this is less than 7.17 * 10^4 ; hence doesn't fit in

B. 7.2 x10^9 - this is greater than both values, hence, doesn't fit in

C. 7.57 x 10^3 - this is less than 7.17*10^4 ; hence does not fit in

D. 8.053 x 10^4 - this fits in as it is greater than 7.17*10^4 and less than 8.17*10^5 ; hence, it is the correct answer.

6 0
3 years ago
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