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3 years ago

A small explanation would be really appreciated

Mathematics

1 answer:

shutvik [7]3 years ago

7 0

Step-by-step explanation:

the 2 angles marked with orange and green are equal becos the question said that the indicated angles are congruent meaning same deg. so 180 - that given angle = the 2 marked angles (based on the rule known as angles on a str line are supplementary)

since the 2 marked angles are same, you can say that d and k are parallel due to the rule of alternate angles

Topic: angle properties

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

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The average cost of living for a family of four in twelve different cities was found to be $65,351 with a standard deviation of

Andrej [43]

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

6 0

3 years ago

Consider the following frequency distribution.

Zarrin [17]

Answer:

Class interval 10-19 20-29 30-39 40-49 50-59

cumulative frequency 10 24 41 48 50

cumulative relative frequency 0.2 0.48 0.82 0.96 1

Step-by-step explanation:

We are given the frequency of each class interval and we have to find the respective cumulative frequency and cumulative relative frequency.

Cumulative frequency

10+14=24

14+17=41

41+7=48

48+2=50

sum of frequencies is 50 so the relative frequency is f/50.

Relative frequency

10/50=0.2

14/50=0.28

17/50=0.34

7/50=0.14

2/50=0.04

Cumulative relative frequency

0.2

0.2+0.28=0.48

0.48+0.34=0.82

0.82+0.14=0.96

0.96+0.04=1

The cumulative relative frequency is calculated using relative frequency.

Relative frequency is calculated by dividing the respective frequency to the sum of frequency.

The cumulative frequency is calculated by adding the frequency of respective class to the sum of frequencies of previous classes.

The cumulative relative frequency is calculated by adding the relative frequency of respective class to the sum of relative frequencies of previous classes.

4 0

3 years ago

True or false if two parallel lines are cut by a transversal each pair of corresponding angles are congruent

tatuchka [14]

Answer:

False

Step-by-step explanation:

4 0

2 years ago

Find m(angle) ABC 21 132 48 19

Brut [27]

I don't like these algebra problems which pretend to be geometry.

These are supplementary angles adding to 180 degrees; geometry done.

7x - 1 + 3x - 9 = 180

10 x = 190

x = 19

ABC=3x - 9 = 3(19) - 9 = 48

Answer 48°

5 0

3 years ago

Read 2 more answers

Twice the sum of a number and 3 is equal to three times the difference of the number and 3

lana66690 [7]

Twice the sum of a number and 3 = 2(n + 3)
three times the difference of the number and 3 = 3(n - 3)
so
Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
2(n + 3) = 3(n - 3)
2n + 6 = 3n - 9
n = 15

answer
2(n + 3) = 3(n - 3)
n = 15

7 0

3 years ago

Read 2 more answers

A small explanation would be really appreciated​

A small explanation would be really appreciated