MATHEMATICS COLLEGE

Determine which statements are true in the set of real numbers3. (Select all that apply.) (a) Two lines parallel to a third line are parallel. (b) Two lines perpendicular to a third line are parallel. (c) Two planes parallel to a third plane are parallel. (d) Two planes perpendicular to a third plane are parallel. (e) Two lines parallel to a plane are parallel. (f) Two lines perpendicular to a plane are parallel. (g) Two planes parallel to a line are parallel. (h) Two planes perpendicular to a line are parallel. (i) Two planes either intersect or are parallel. (j) Two lines either intersect or are parallel. (k) A plane and a line either intersect or are parallel. Incorrect: Your answer is incorrect.

Answers

Answer 1
Answer:

Answer:

(a) True

(b) False

(c) True

(d) False

(e) False

(f) True

(g) False

(h) True

(i) True

(k) True

Step-by-step explanation:

(a) Two lines parallel to a third line are parallel

True

(b) Two lines perpendicular to a third line are parallel

Only for  lines on the same plane

Therefore, false

(c) Two planes parallel to a third plane are parallel

True

(d) Two planes perpendicular to a third plane are parallel

The two planes can be at an angle to each other and so intersect

Therefore, false

(e) Two lines parallel to a plane are parallel

Where the two lines are on a plane parallel to the first plane but the lines are not themselves parallel to each other they intersect

Therefore, false

(f) Two lines perpendicular to a plane are parallel

True

(g) Two planes parallel to a line are parallel

Where the planes are not parallel to each other, they will intersect

Therefore, false

(h) Two planes perpendicular to a line are parallel

True

(i) Two planes either intersect or are parallel

True

(k) A plane and a line either intersect or are parallel

True.

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Find the exact value of cos 15º.

Answers

Answer:

0.965925826

Step-by-step explanation:

Answer:

(pi6 + pi2)/4

Step-by-step explanation:

Consider the following analogy: You are a hiring manager for a large company. For every job applicant, you must decide whether to hire the applicant based on your assessment of whether he or she will be an asset to the company. Suppose your null hypothesis is that the applicant will not be an asset to the company. As in hypothesis testing, there are four possible outcomes of your decision: (1) You do not hire the applicant when the applicant will not be an asset to the company, (2) you hire the applicant when the applicant will not be an asset to the company, (3) you do not hire the applicant when the applicant will be an asset to the company, and (4) you hire the applicant when the applicant will be an asset to the company. 1. Which of the following outcomes corresponds to a Type I error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You do not hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will not be an asset to the company.
D. You hire the applicant when the applicant will be an asset to the company.
2. Which of the following outcomes corresponds to a Type II error?
A. You hire the applicant when the applicant will not be an asset to the company.
B. You hire the applicant when the applicant will be an asset to the company.
C. You do not hire the applicant when the applicant will be an asset to the company.
D. You do not hire the applicant when the applicant will not be an asset to the company.
As a hiring manager, the worst error you can make is to hire the applicant when the applicant will not be an asset to the company. The probability that you make this error, in our hypothesis testing analogy, is described by:________.

Answers

Answer:

1. A. You hire the applicant when the applicant will not be an asset to the company.

2. C. You do not hire the applicant when the applicant will be an asset to the company.

Step-by-step explanation:

1. The type I error happens when the null hypothesis is rejected when it is true, in this way we know that the null hypothesis is that the new employee will not be active for the company, so option B is rejected, because it refers that the Applicant if he will be active or for the company, option C is rejected because the inactive employee is rejected, accepting the null hypothesis, option D is rejected because the contracted applicant if active, so the correct answer is A, in which the inactive applicant is hired.

2.

we know that the type II error occurs when the null hypothesis is accepted, being this false, we know that the null hypothesis is to hire an inactive applicant for the company, so option A is not correct, in which the null hypothesis is accepted taking it as true, option B is rejected, in which the contract is made to an active applicant, so the null hypothesis is false and option D is rejected, in which the null hypothesis is rejected, therefore the correct answer It is the C in which the active applicant is not hired.

Answer:

1. Option A

2. Option C

Step-by-step explanation:

The null hypothesis is that the applicant will not be an asset to the company, thus you do not hire such applicant

The alternative hypothesis is that the applicant will be an asset to the company and you then hire such applicant.

A type I error occurs when the researcher rejects the null hypothesis when true.

A type II error occurs when the researcher fails to reject the null hypothesis when it is not true.

1. Type I error:

You hire the applicant when the applicant will not be an asset to the company

2. Type II error:

You do not hire the applicant when the applicant will be an asset to the company.

3. Type I error because you rejected the null hypothesis to not hire when the applicant will not be an asset to the company.

A survey of 1000 young adults nationwide found that among adults aged 18-29, 35% of women and 30% of men had tattoos. Suppose that these percentages are based on random samples of 500 women and 500 men. Using a 2.5% level of significance, can you conclude that among adults aged 18-29, the proportion of all women who have tattoos exceeds the proportion of all men who have tattoos?

Answers

Answer:

95% confidence interval for adults in age group 18-29 is (-0.007, 0.107)

Step-by-step explanation:

Given  

N1 = n2 = 500

% of males = 0.30

% of females = 0.35

95% confidence interval  

(p2-p1) + z(0.025) sqrt (p1q1/n1 + p2q2/n2)  and (p2-p1) - z(0.025) sqrt (p1q1/n1 + p2q2/n2)  

Substituting the given values, we get –  

(0.35-0.30) + 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500) and (0.35-0.30) - 1.96 sqrt (0.3*0.7/500 + 0.35*0.65/500)

0.05 + (1.96 *0.029) and 0.05 - (1.96 *0.029)

0.05 + 0.057 and 0.05 – 0.057  

(-0.007, 0.107)

Anthony makes candies. First, he mixes 1 cup of cream with 2 cups of chocolate. In all, he used 9 cups of these 2 ingredients. How many cups of chocolate does he use in this candy recipe?

Answers

Answer:

  6 cups

Step-by-step explanation:

Anthony's recipe uses 2 cups of chocolate for each 3 cups of the two ingredients. So, the chocolate is 2/3 of the total number of cups of the two ingredients.

  2/3 × 9 cups = 6 cups

Anthony uses 6 cups of chocolate to make the candies.

Jenny's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 66 grams, how many grams of cocoa does it contain? Round youranswer to the nearest tenth.

Answers

Answer:

22.4 grams

Step-by-step explanation:

66 times 0.34 is 22.44

22.44 rounded to the nearest tenth is 22.4

hope i helped :)

Answer:

22.4 grams

Step-by-step explanation:

34% = 0.34

66 grams x 0.34 = 22.4 grams

5% of what number is 63?

Answers

To find the percentage of a number, you take the percent - 5% - and change it to a decimal by moving the percent over 2 times to the left and multiplying it by the number. So...

.05 x 63
= 3.15

Answer: 5% of 63 is 3.15
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