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2 years ago

Having trouble with this one

Mathematics

1 answer:

taurus [48]2 years ago

6 0

Answer:

Yes

Step-by-step explanation:

If the diagonals are perpendicular, then the slope of AC will be the opposite reciprocal of the slope of BD.

The slope of AC is:

m = (3 − 3) / (6 − 0) = 0

The slope of BD is:

m = (0 − 6) / (3 − 3) = undefined

The opposite reciprocal of 0 is undefined, so the diagonals are indeed perpendicular.

Specifically, AC is horizontal and BD is vertical.

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In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Mad

dimaraw [331]

Answer:

a) The population is 40,858 students and the sample is 100.

b) No

Step-by-step explanation:

a) The population would be the 40,858 members of the student body. Since we are only applying the questionnaire to 100 students, the sample would be 100.

b) 29% of the students answered "zero" to the question on how many days in the past week they consumed at least one alcoholic drink. This means that 29 out of 100 students gave this answer. However, this doesn't mean that 29% of the entire population of UW would give this response. Why is that? Because our sample is very small so it might not be representative of the whole population. Equally, the results from such a sample cannot be exactly the same results we would get from an entire population.

7 0

3 years ago

What is the slope of the line passing through (-3, 5) and (5,-3)?

Delvig [45]

-1 is the answer to your question

8 0

2 years ago

Read 2 more answers

Solve for X<br><br> PLEASE HELP ME

guapka [62]

Answer:

x = 10°

Step-by-step explanation:

Step 1:

92° + x° + 78° = 180° Supplementary Angles

Step 2:

x° + 170° = 180° Combine Like Terms

Step 3:

x° = 180° - 170° Subtract 170° on both sides

Answer:

x = 10°

Hope This Helps :)

4 0

2 years ago

a bread recipe calls for ⅓ cup of butter you want to make ½ of a batch. how much butter do you need?

Reil [10]

Answer:

1/6

Step-by-step explanation:

if 1/3 is for a whole batch and you want to make a half batch. So, divide 1/3 by 2.

4 0

3 years ago

The table gives estimates of the world population, in millions, from 1750 to 2000. year population year population 1750 790 1900

Tems11 [23]

The poopulation exponential model is given by

$P(t)=P_0e^{kt}$

Where, P(t) is the population after year t; Po is the initial population, t is the number of years from the starting year; k is the groth constant.

Given that the population in 1750 is 790 and the population in 1800 is 970, we obtain the population exponential equation as follows:

$970=790e^{50k} \\ \\ \Rightarrow e^{50k}=1.228 \\ \\ \Rightarrow 50k=\ln{1.228}=0.2053 \\ \\ \Rightarrow k=0.0041$

Thus, the exponential equation using the 1750 and the 1800 population values is $P(t)=790e^{0.0041t}$

The population of 1900 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times150} \\ \\ =790e^{0.6158}=790(1.8511) \\ \\ =1,462$

The population of 1950 using the 1750 and the 1800 population values is given by

$P(t)=790e^{0.041\times200} \\ \\ =790e^{0.821}=790(2.2729) \\ \\ =1,796$

From the table, it can be seen that the actual figure is greater than the exponential model values.

7 0

3 years ago