MATHEMATICS COLLEGE

Consider the following inductive arguments, and evaluate each one for inductive strength. To do this, begin by assuming that the argument's premises are true (even if they are false). Then ask yourself whether the conclusion would therefore probably be true as well. If the answer to this question is yes, then the argument is strong. If the conclusion is not likely to be true based upon the given premises, then the argument is weak.Argument A:
Whales and dolphins are both mammals. So, because whales cannot breathe underwater but must come up to the ocean's surface to breathe, it is likely that dolphins must also swim to the surface to breathe air.
Argument A is :___
a. strong
b. weak

Argument B:
Harry has always had an aptitude for history, geography, and social sciences, but he has always struggled with abstract concepts such as mathematics and physics. But Harry must take a college physics course to fulfill a general education requirement for his degree. Based on his academic track record, it is likely that Harry will be one of the top students in his college physics course.

Argument B is :_
a. strong
b. weak

Argument C:
Out of a bag of 100 marbles, 97 red marbles were drawn in a row at random. Based on this sample, it is probably the case that the remaining 3 marbles are also red.

Argument C is :_
a. strong
b. weak

Argument D:
The label on the side of a certain soda can indicates that the can was manufactured by Ball Corporation in their plant in Fairfield, California. Based on the information on the can's label, it is unlikely that the can was manufactured by any company other than Ball Corporation.

Argument D is :___
a. strong
b. weak

Answers

Answer 1

Answer:

Answer:

Argument A: a. strong

Argument B: b. weak

Argument C: a. strong

Argument D: a. Strong

Step-by-step explanation:

Dolphins and whales are mammals. They do not have gills like other fishes for breathing. They have to come to surface of water to breathe. The whales can store oxygen and can stay alive without breathing for more than an hour while dolphins can stay without breathing for few minutes. Harry has struggles with physics and mathematics therefore he cannot be top scorer in this subject based on his past track record.

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A stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s

Answers

Answer:

23.7m

Step-by-step explanation:

Given parameters:

Time taken = 2.2s

Acceleration due to gravity = 10m/s

Unknown:

Depth of the well = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

S = ut + $(1)/(2)$ gt²

where S = depth of the well

u = initial velocity

t = time taken

g = acceleration due to gravity

Input the parameters and solve for S;

Note initial velocity = 0;

S = $(1)/(2)$ x 9.8 x 2.2²

S = 23.7m

ABCD is a rectangle. Find the length of each diagonal.AC=3(x-3)
BD=x+3

AC=___
BD=___

Answers

Answer:

Step-by-step explanation:

Ac = BD

3(x - 3) = x + 3 Distribute the 3

3x - 9 = x + 3 Subtract x from both sides

2x - 9 = 3 Add 9 to both sides

2x = 12 Divide both sides by 2

x = 6

Plug 6 back into either expression to solve for the side length

3(x - 3)

3(6-3)

3(3) = 9

x + 3

6 + 3 = 9

Answer:

AC = BD = 9

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

AC = BD , that is

3(x - 3) = x + 3 ← distribute parenthesis on left side

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = x + 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 3(x - 3) = 3(6 - 3) = 3(3) = 9

BD = x + 3 = 6 + 3 = 9

that is AC = BD = 9

In a random sample of 500 college students, 23% say that they read or watch the news every day. Develop a 90% confidence interval for the proportion of all students who read or watch the news on a daily basis. Interpret your results. If you wanted to develop a 95% confidence interval with a margin of error of .01, how many students would need to be surveyed?

Answers

Answer:

The 90% confidence interval is $0.199 < p < 0.261$

The sample size to develop a 95% confidence interval is $n = 2032$

Step-by-step explanation:

From the question we are told that

The sample size is n =500

The sample proportion is $\^ p = 0.23$

From the question we are told the confidence level is 90% , hence the level of significance is

$\alpha = (100 - 90 ) \%$

=> $\alpha = 0.10$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 1.645$

Generally the margin of error is mathematically represented as

$E = Z_{(\alpha )/(2) } * \sqrt{(\^ p (1- \^ p))/(n) }$

=> $E = 1.645 * \sqrt{(0.23 (1- 0.23))/(500) }$

=> $E = 0.03096$

Generally 90% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.23 -0.03096 < p < 0.23 + 0.03096$

=> $0.199 < p < 0.261$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $(\alpha )/(2)$ is

$Z_{(\alpha )/(2) } = 1.96$

The margin of error is given as $E = 0.01$

Generally the sample size is mathematically represented as

$n = [\frac{Z_{(\alpha )/(2) }}{E} ]^2 * \^ p (1 - \^ p )$

=> $n = [(1.96 )/(0.01) ]^2 *0.23 (1 - 0.23 )$

=> $n = 2032$

Hello can you please help me posted picture of question

Answers

The discriminant help us to identify the nature of the roots.

If Disc > 0, the function has two distinct roots
If Disc = 0, the function has repeated roots
If Disc < 0, the function has complex roots

The turning away of the function indicates a repeated root at that point.
Thus, the given quadratic equation has a repeated root at x = 2. So the discriminant of the function is zero.

Therefore, the correct answer is option B

What is the area of the circle above? (

Answers

Answer:

D. 113.04

Step-by-step explanation:

50 POINTS.Tell whether the ordered pairs is a solution of the system of linear inequalities. 4. (8, −2); y −6
8. (1, 3);2x + y −4, 3x − y ≤ 3

Answers

Answer:

4, or it could be 8 but mostly 4

Step-by-step explanation:

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