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lilavasa [31]
3 years ago
11

Use the figure to identify each pair of angles as complementary angles, supplementary angles, vertical angles, or none of these.

Mathematics
1 answer:
maxonik [38]3 years ago
6 0

(a) Complementary angles

(b) Vertical angles

(c) Supplementary angles

<u>Explanation:</u>

Complementary angles are those two angles whose sum is 90 degrees.

Supplementary angles are those two angles whose sum is 180 degrees.

Vertical angles are the angles opposite each other when two lines cross.

(a)

Angles 1 and 5 are complementary angles

(b)

Angles 3 and 5 are vertical angles

(c)

Angles 3 and 4 are supplementary angles

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The management of a department store is interested in estimating the difference between the mean credit purchases of customers u
Mkey [24]

Answer:

Step-by-step explanation:

1) Point estimate is the difference between the sample means. Therefore,

A point estimate for the difference between the mean purchases of the users of the two credit cards is = 140 - 125 = $15

2) Margin of error = z√(σ²/n1 + σ2²/n2)

Where

z is the z score from the 95% confidence level. From the normal distribution table, z = 1.96

s1 and s2 are standard deviation for both customers respectively.

Standard deviation = √variance

σ1 = √100 = 10

σ2 = √641 = 25.32

Margin of error = 1.96√(10²/64 + 25.32²/49 = 7.5

At 95% confidence, the margin of error is 7.5

3) The confidence interval for the difference of two population means is expressed as point estimate ± margin of error

Confidence interval = 15 ± 7.5

The upper boundary for the confidence interval is

15 - 7.5 = 7.5

The lower boundary for the confidence interval is

15 + 7.5 = 22.5

A 95% confidence interval estimate for the difference between the average purchases of the customers using the two different credit cards is $7.5 to $22.5

4) Since the population standard deviations are known, we would use the formula to determine the test statistic(z score)

z = (x1 - x2)/(√σ1²/n2 + σ2²/n2)

z = (140 - 125)/√10²/64 + 25.32²/49

z = 1.02

The test statistic for an alpha of .05 is 1.02

4 0
3 years ago
Write a fraction with a denominator of 4 to represent it distances less than seven and a 12 mile
kirza4 [7]
2/4,6/12,1/4,3/12 make sure to label with miles cause it will probably be wrong hope this helps!
6 0
3 years ago
Scale each ratio or rate up or down to determine the unknown term
balu736 [363]
D) 1•x=5, 1•5=5 8•5=40, the answer is 40/5 CDs

E) 3/3=1, 26.25/3= 8.75. The answer is 1/8.75

F) 10/10=1, 120/10= 12. The answer is 1/12

G) 2•x=12, 2•6=12, 120•6= 720. The answer is 12/720

Hopefully this helped
5 0
3 years ago
What is the volume of a cylinder that has a diameter of 14 and height of 18? Round your answer to the nearest
mamaluj [8]

Answer:

252

Step-by-step explanation:

and it has the nearest tenth value is 126

6 0
2 years ago
Alex made a drawing of the path in his garden. What is the area of the path?
Musya8 [376]
Separate the pieces
(7x1) +(5x1)+(7x1)
7+5+7= 19
19m is your answer
3 0
3 years ago
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