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Komok [63]
3 years ago
12

What is the value of the variables?

Mathematics
1 answer:
iren [92.7K]3 years ago
6 0

Answer:

x=9 and w=12

Step-by-step explanation:

To solve for w and x, create proportions between the two similar triangles.

\frac{Big Side}{Big Side} =\frac{little side}{little side}

where Big represents the bigger triangle an little represents the smaller triangle.

\frac{8}{16}=\frac{w}{12+w}

Cross multiply and solve for w.

8(12+w)=16(w)

96 + 8w = 16w

96 + 8w - 8w = 16w - 8w

96 = 8w

w=12

Repeat with a new proportion.

\frac{8}{22}=\frac{12}{24+x}

Cross multiply and solve for x.

8(24+x)=22(12)

192 + 8x = 264

8x = 72

x=9

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According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 comp
vova2212 [387]

Answer:

0.1790

0.0738 , 0.5800, 0.7040

354

Step-by-step explanation:

a. Given:  

n = 162

x = 29

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:  

p =  x/n

  = 29/162

  = 0.1790

b. Given:  

n=162

x = 110

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:  

p =  x/n

  =110/162

  =0.6790

For confidence level 1 –\alpha = 0.95, determine z_\alpha/2 = z_0.025 using table 1 (look up 0.025 in the table, the z-score is then the found z-score with opposite sign):  

z_\alpha/2 = 1.96  

The margin of error is then:

E =  z_\alpha/2*√p(1-p)/n =1.96* √0.6790(1-0.6790)/162 =0.0738

The boundaries of the confidence interval are then:  

p-z_\alpha/2*√p(1-p)/n = 0.6790-1.645√ 0.6790(1- 0.6790)/162 = 0.5800

p+z_\alpha/2*√p(1-p)/n = 0.6790+1.645√ 0.6790(1- 0.6790)/162 = 0.7040

c. Given:  

n = 162

x = 110

c = 95%

The point estimate of the population proportion is the sample proportion. The sample proportion is the number of successes divided by the sample size:  

p =x/n

  =0.6790

Formula sample size:

p known: n = [z_\alpha/2 ]^2*pq/E^2

                   = [z_\alpha/2 ]^2*p(1-p)/E^2

                n = [z_\alpha/2 ]^2*0.25/E^2

For confidence level 1 –\alpha= 0.95, determine z_\alpha/2 = z_o.025 using table 1 (look up 0.025 in the table, the z-score is then the found z-score with opposite sign):  

z_\alpha/2  = 1.96

p is known, then the sample size is (round up!):

n =[z_\alpha/2 ]^2*p(1-p)/E^2

  = 354

8 0
2 years ago
А<br>A<br>8 cm<br>E<br>5 cm<br>B.<br>С C<br>D<br>12 cm​
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Answer:DanGrjdhbcGoKghryinjvgjcy

Step-by-step explanation:

5 0
2 years ago
Tell whether the two rates form a proportion . Please help me on number 16
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Tell whether the two rates form a proportion . Please help me on number 16

7 0
2 years ago
What is the first term of the fibonacci like sequence whose second term is 4 and whose fith term is 22?
bagirrra123 [75]

Answer: -2

Step-by-step explanation:

The information in the question can be used to form an equation which goes thus:

2nd term = a + d = 4 ...... i

5th term = a + 4d = 22 ....... ii

From equation i

a = 4 - d ........ iii

Put equation iii into ii

a + 4d = 22

(4 - d) + 4d = 22

4 - d + 4d = 22

4 + 3d = 22

3d = 22 - 4

3d = 18

d = 18/3

d = 6

Commons difference is 6

Since a + d = 4

a + 6 = 4

a = 4 - 6

a = -2

The first term is -2

3 0
3 years ago
Over 6 months, Fiona used her online banking account to pay a total of $274.50 for her cell phone services. Her cell phone servi
pentagon [3]

Answer:

45.75

Step-by-step explanation:

you divided 274.50 by 6 and get the answer

4 0
2 years ago
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