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Alecsey [184]
2 years ago
6

Measure of angle A = 5 X, measure of angle B = 2X, measure of angle C = 110 degrees

Mathematics
2 answers:
Alex17521 [72]2 years ago
7 0
5x+2x+110=180
7x=70
x=10
cricket20 [7]2 years ago
7 0

Answer:

A = 50

B = 20

C = 110

Step-by-step explanation:

A triangle is equal to 180°

In order to find the measure of each angle, add angle A, B, and C to get 180°

If angle A = 5x, angle B = 2x and angle C = 110 then 5x + 2x + 110 = 180°

To find each angle, first solve for x:

5x + 2x + 110 = 180° start by adding like terms

7x + 110 = 180° now subtract 110 from 180

7x = 70 finally divide 7 from 70

x = 10

To find each individual angle, substitute x with 10. For example:

A = 5x

A = 5(10)

A = 50

B = 2x

B = 20

C = 110

If you were to add A, B, and C it should equal 180°

110 + 20 + 50 = 110

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As a marketing manager, you are tasked with selecting a website to place your advertisement. The following sampled data shows th
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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Website 1 : 10357, 10537, 10767, 10561, 10544, 10581, 10602, 10665, 10335, 10419, 10737, 10410, 10485, 10601, 10458, 10472, 10435, 10375, 10436, 10510, 10345, 10559, 10520, 10425, 10351, 10465, 10491, 10671, 10366, 10440, 10618, 10606, 10406, 10538, 10449, 10462

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 377999 / 36 = 10499.9722

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 1 :), s = 110.239865

Website 2 : 11067, 11029, 10888, 10789, 10914, 10663, 10787, 11140, 11042, 11074, 10868, 10853, 10900, 11088, 10991, 10928, 10959, 11126, 11033, 11114, 11150, 11155, 11027, 10900, 11015, 11123, 10953, 11181, 10855, 10731, 10971, 10770, 11070, 11122, 11018, 10903

Mean, xbar = ΣX/ n ; n = sample size = 36

Xbar = 395197 / 36 = 10977.6944

Standard deviation, s = √[(x - xbar)² / (n-1]

Using calculator :

Standard deviation (Website 2), s = 132.617995

2.)

Yes, the viewership between the two websites are different with the second website has a higher mean viewership with a mean of 10977.6944.

3.)

The probability of 12000 views per month on each website :

Probability = Mean viewership per month / required viewership

Website 1 :

P(12000) = 10499.9722 / 12000 = 0.8749

Website 2 :

P(12000) = 10977.6944 / 12000 = 0.9148

4.)

More consistent website :

We use the standard deviation value, the higher the standard deviation, the higher the variability :

Website 1 should be more consistent has it has a Lower standard deviation score, hence, should show lower variability than website 2.

5.)

Website suitable for advertisement should be one with higher viewership per month in other to reach a larger audience. Hence, website 2 should be recommended for advertisement.

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