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Svetradugi [14.3K]
3 years ago
12

Two parallel lines are cut by a transversal as shown below

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

Answer:

<7=123

<6=57

Step-by-step explanation:

exterior angles are congruent,  they have equal measure.

<1+<2=180

123+<2=180

<2=180-123

<2=57

<2 is corresponding with <6

They have the same measure

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Step-by-step explanation:

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How do rented housing units differ from units occupied by their owners? Here are the distributions of the number of rooms for ow
IrinaK [193]

Answer:

<u>Standard deviation for owner-occupied units</u>

2.9797

<u>Standard deviation for renter-occupied units</u>

3.1594

Step-by-step explanation:

Let us find first the mean. This is the distribution expected value or expectancy.

<u>Mean for owner-occupied units</u>

0.003 + 2*0.002 + 3*0.023 + 4*0.102 + 5*0.209 + 6*0.223 + 7*0.201 + 8*0.149 + 9*0.053 + 10*0.035 = 6.293

To compute the variance for owner-occupied units, we add these values

(1-6.293)^2+(2-6.293)^2+(3-6.293)^2+(4-6.293)^2+(5-6.293)^2

+(6-6.293)^2+(7-6.293)^2+(8-6.293)^2+(9-6.293)^2+(10-6.293)^2

then divide by 10 and take the square root to get the standard deviation 2.9797

<u>Mean for renter-occupied units</u>

0.008 +  2*0.027 + 3*0.287 + 4*0.371 + 5*0.155 + 6*0.090 + 7*0.043 + 8*0.013 + 9*0.003 + 10*0.003 = 4.184

To compute the variance for renter-occupied units, we add these values

(1-4.184)^2+(2-4.184)^2+(3-4.184)^2+(4-4.184)^2+(5-4.184)^2

+(6-4.184)^2+(7-4.184)^2+(8-4.184)^2+(9-4.184)^2+(10-4.184)^2

then divide by 10 and take the square root to get the standard deviation 4.184

4 0
3 years ago
Rosa and her brother worked landscaping jobs last summer. Rosa earned $8 more than twice the amount earned by her brother. If th
nadezda [96]
Rosa earned $50

Explanation:

Two people Rosa & her brother
Her brother earns X
While Rosa earns 2X + 8
Now we gotta solve for X

They made $71. $71 minus X should give you Rosa’s pay

71 - X = 8 + 2X (subtract 8 from 71)
63 - X = 2X (add X to 2X)
63 = 3X (divide by 3)
21 = X

Plug in $21 for Rosa:
8 + 2(21)
8 + 42 = $50




4 0
4 years ago
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