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alexandr1967 [171]
3 years ago
7

Describe fully the single transformation that maps triangle A onto triangle B.

Mathematics
1 answer:
Brrunno [24]3 years ago
7 0

9514 1404 393

Answer:

  reflection across the line y = x

Step-by-step explanation:

The orientation of the triangle has changed from CW to CCW (considering sides in order least-to-greatest). This means a reflection is involved.

In order for this to be a single transformation, we need to know the line or point of reflection.

Each point is reflected about the point that is the midpoint joining an image point and the corresponding preimage point. Here, the points of reflection of the vertices all lie on the line y = x. So we can say ...

  the transform is reflection across the line y = x

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The proportion of dissolved substances in seawater is expressed as 0/00, which is the same as?
finlep [7]

The proportion of dissolved substances in seawater is expressed as 0/00, which is the same as parts per hundred.

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion. With numerous examples and problems that have been solved, this article helps students understand these two ideas clearly.

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5 0
2 years ago
Construct the indicated confidence interval for the difference in proportions. Assume that the samples are independent and that
IceJOKER [234]

Answer:

CI 99%   =  ( - 0.0009 ;  0.0541 )

Step-by-step explanation:

Sample 1 New Yorkers

sample size    n₁   =  558

x₁  =  193

p₁ = x₁/n₁   =  193/ 558      p₁ =  0.3458  q₁ =  1  - p₁   q₁  =  1  -  0.3458

q₁  =  0.6542

Sample 2  Californians

sample size     n₂  =  614

x₂  =  196

p₂  =  x₂/n₂  =  196 / 614    p₂ = 0.3192   q₂  =  1  -  p₂   q₂ =  1 - 0.3192

q₂ =  0.6808

CI 99 %    means   significance level α  = 1 αα%    α = 0.01

α/2  =  0.005

In z-table we look for z score for  0.005    z (c) =  2.57

CI 99 %  =  [  (  p₁  -  p₂ ) ±  z(c) * √( p₁*q₁)/n₁  + ( p₂*q₂)/n₂

p₁ - p₂  =  ( 0.3458 - 0.3192 )  =  0.0266

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =√  0.3458*0.6542)/558 +  0.3192*0.6808)/614

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   = √ 4.05*10⁻⁴   +  3.54 * 10⁻⁴

√( p₁*q₁)/n₁  + ( p₂*q₂)/n₂   =  10⁻² * √7.59    =  10⁻²  *  2.75

Then:

CI 99 %  =  0.0266  ±  2.75 * 10⁻²

CI 99%   =  0.0266   ±  0.0275

CI 99%   =  ( - 0.0009 ;  0.0541 )

6 0
3 years ago
F is between E and G. FE = 1/3 FG and EG = 24. find FG
deff fn [24]

Answer:

FG = 18

Step-by-step explanation:

                    24

---E--------------F--------------------------------G

        1/3FG            

4/3FG = 24

FG= 24×3/4

FG= 6×3

FG= 18

Hope this helps!!!

5 0
3 years ago
Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5,7,9}, B = {2,4,6,8,10} and C = {1,2,3,4} find (i) U' ii) A∩A' iii) A – ( B U C) iv) A
Artyom0805 [142]

Answer:

(i) U' = Φ

(ii) A∩A' = Φ

(iii) A – ( B U C) = {5,7,9}

(iv) A' U ( B U C ) = {2,4,6,8,10}

(v) A' U ( B' ∩ C') = {2,4,5,6,7,8,9,10}

Step-by-step explanation:

8 0
3 years ago
Can someone help pls ty
irakobra [83]
12 bottles will be needed for a group that size
5 0
3 years ago
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