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Vika [28.1K]
3 years ago
8

If KM = NO and KM = PQ, then NO = PQ. Which property is illustrated above? A. reflexive property B. symmetric property C. substi

tution property D. identity property
Mathematics
2 answers:
Reptile [31]3 years ago
8 0
That is the reflective property
yanalaym [24]3 years ago
4 0
I think thats the reflexive property 
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State the null and alternative hypotheses for each of the following situations. (That is, identify the correct number μο and wri
-BARSIC- [3]

Answer:

a) The null hypothesis is given as

H₀: μ₀ ≥ 38.2 minutes

The alternative hypothesis is given as

Hₐ: μ₀ < 38.2 minutes

b) The null hypothesis is given as

H₀: μ₀ = $58,291

The alternative hypothesis is given as

Hₐ: μ₀ ≠ $58,291

c) The null hypothesis is given as

H₀: μ₀ ≤ 133.0 mg

The alternative hypothesis is given as

Hₐ: μ₀ > 133 mg

d) The null hypothesis is given as

H₀: μ₀ = 161.9 bushels

The alternative hypothesis is given as

Hₐ: μ₀ ≠ 161.9 bushels

e) The null hypothesis is given as

H₀: μ₀ ≤ 42.8 years

The alternative hypothesis is given as

Hₐ: μ₀ > 42.8 years

Step-by-step explanation:

In hypothesis testing, the null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test. It usually maintains that, with random chance responsible for the outcome or results of any experimental study/hypothesis testing, its statement is true.

The alternative hypothesis usually confirms the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test. It usually maintains that significant factors other than random chance, affect the outcome or results of the experimental study/hypothesis testing and result in its own statement.

Taking the statements one at a time

a) The assertion is that the new average time workers spent commuting to work in Verona is now less than the old average.

The null hypothesis would be there isn't enough evidence to conclude that the new average time workers spent commuting to work in Verona is now less than the old average. That is, the new average time workers spent commuting to work in Verona is now equal to or more than the old average.

The alternative hypothesis is that the new average time workers spent commuting to work in Verona is now less than the old average.

Mathematically, if μ₀ = new average time workers spent commuting to work in Verona.

The null hypothesis is given as

H₀: μ₀ ≥ 38.2 minutes

The alternative hypothesis is given as

Hₐ: μ₀ < 38.2 minutes

b) Although the question isn't complete,

The null hypothesis is that there isn't a significant difference between whatever is being compared in the complete question and the mean salary for all men in that profession.

The alternative hypothesis is that there is significant difference between whatever is being compared in the complete question and the mean salary for all men in that profession.

Mathematically, if μ₀ = Mean of whatever is being compared in the complete question

The null hypothesis is given as

H₀: μ₀ = $58,291

The alternative hypothesis is given as

Hₐ: μ₀ ≠ $58,291

c) The claim to be proved is that the average caffeine content for coffee served in a local restaurants is higher.

The null hypothesis is that the average caffeine content for coffee served in a local restaurants is not higher than the standard figure of 133 mg for an 8 ounce cup. That is, the average caffeine content for coffee served in a local restaurants is not higher than the standard figure of 133 mg for an 8 ounce cup.

The alternative hypothesis is that average caffeine content for coffee served in a local restaurants is higher than the standard figure of 133 mg for an 8 ounce cup.

Mathematically, if μ₀ = average caffeine content for coffee served in a local restaurants.

The null hypothesis is given as

H₀: μ₀ ≤ 133.0 mg

The alternative hypothesis is given as

Hₐ: μ₀ > 133 mg

d) The economist claims that the average yield per acre this year is different from the average yield per acre in recent years.

Hence, the null hypothesis is that there is no significant difference between the average yield per acre this year and the average yield per acre in recent years.

The alternative hypothesis is that there is significant difference between the average yield per acre this year and the average yield per acre in recent years.

Mathematically, if μ₀ = the average yield per acre this year

The null hypothesis is given as

H₀: μ₀ = 161.9 bushels

The alternative hypothesis is given as

Hₐ: μ₀ ≠ 161.9 bushels

e) The sociologist suspects that the average age of all self-described fly fishermen is higher than 42.8 years.

Hence, the null hypothesis is that the average age of all self-described fly fishermen is not higher than 42.8 years. That is, the average age of all self-described fly fishermen is equal to less than 42.8 years.

The alternative hypothesis is that the average age of all self-described fly fishermen is higher than 42.8 years.

Mathematically, if μ₀ = average age of all self-described fly fishermen.

The null hypothesis is given as

H₀: μ₀ ≤ 42.8 years

The alternative hypothesis is given as

Hₐ: μ₀ > 42.8 years

Hope this Helps!!!

7 0
3 years ago
3x^3-5x+x^7+9+4x^11 polynomial
Vaselesa [24]

Answer:

ñ

Step-by-step explanation:

ññññññ

ñññññññññññññññññññññ

6 0
3 years ago
Read 2 more answers
a kitchen is shaped like a rectangle with dimensions of 4ft by 7ft. The floor of the rooms is made up of square tiles with a sid
Darina [25.2K]

Answer:

112 tiles

Step-by-step explanation:

Area = 28ft sq

Tiles are 1/4 each sqft

We are working cube square inside cube ft square = 1 sq /4 (for multiplier).

= 4 x 28 = 112

112 x 0.25 = 28 to check.

112 x 0.25 x 4 = 112 is the multiplier to check again.

5 0
3 years ago
Suppose your car has hhh liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more
Igoryamba

Answer:

g = (h+a) - l

None of them

Step-by-step explanation:

Suppose your car has h liters of engine oil in the morning. During the day, some oil may have leaked, you may have added more oil, or both. The oil level in the evening is g liters. Which of the following expressions always represents how far away the new oil level is from the previous oil level? H+G lGl none of them

Let

h = liters of oil in the morning

l= liters that has leaked

a= liters that were added during the day

g= amount of liters at the end of the evening

Total liters of oil in the evening= (litres of oil in the morning + litres of oil added during the day) - litres of oil that leaked

Substituting each variable into the formula, we have

g = (h+a) - l

3 0
3 years ago
Jillian is making accessories for the soccer team. She uses 667.43 inches of fabric on headbands for 27 players and 4 coaches. S
gulaghasi [49]

Answer:

21.53 in of fabric on headbands

7.67 in of fabric on wristbands.

Step-by-step explanation:

Step one:

given data

the total amount of person players plus coaches= 27+4= 31

for each person, she uses = 667.43/31= 21.53 in of fabric on headbands

She also uses 237.87inches of fabric on wristbands for just the players

For each player, she will use= 237.87/31= 7.67 in of fabric

Hence for each player, she used

21.53 in of fabric on headbands

7.67 in of fabric on wristbands

4 0
3 years ago
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