Help..................

Answer:

A) True

B) False

C) True

D) False

Step-by-step explanation:

A. This statement is True.

From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.

The converse statement is;

If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.

The contrapositive statement is;

If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.

B. This statement is false.

The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.

c. This statement is True.

From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.

Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°

Thus;

180° + 180° = 360°

The converse statements is;

If two lines meet at a point then it means that the sum of the angles at that point equals 360°

The contrapositive statements is;

If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°

d. This statement is False.

The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.

Step-by-step explanation:

Mean = 81740

Standard deviation = 4590

Sample size = 15

Alpha level = 1-0.95 = 0.05

Df = 15-1 = 14

Critical value:

alpha/2 = 0.05/2 = 0.05

t0.025

t critical value = 2.145

Margin of error ME

2.145 x 4590/√15

2.145 x 4590/3.873

ME = 2542.09

Confidence interval

Lower CI = mean - ME

= 81740-2542.09

= 79197.91

Upper CI = mean + ME

= 81740+2542.09

= 84282.09

[ 79197.91, 84282.09]

B.

Using excel, exact answer for CI

Lower limit = 79198.142724212173

Upper limit = 84281.8572757827

C.

The assumptions to be made from the population are that

1. Samples are random

2. These samples are gotten from an approximately normal distribution

Answer:

hello your question is poorly written attached below is the complete question

answer

a)  ( 1.9802 , 1.9998 )

b) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean.

c)  A single value of 2.02 is not unusual

d)   (1.9602, 1.9798)

Step-by-step explanation:

A) set up 95% confidence interval estimate

std = 0.05 liter

average ( mean ) X = 1.99 liters

n = 100

95% confidence interval = X ± [tex]Z_{95%}[/tex] ( std / √n )

                                         = 1.99 ± 1.96 ( 0.05 / √100 )

                                         = ( 1.9802 , 1.9998 )

B) The population of soft drink does not have to be normally distributed in order to calculate the confidence interval for a sample mean. as seen in this scenerio the value of n > 30 and sampling distribution of X  is required instead

C) A single value of 2.02 is not unusual because the confidence interval we calculated above is for 100 samples of the soft drink ( using true population mean ) but when we calculate for a one sample we will observe that the value ( 2.02 ) will not be unusual e.g. ( 2 ± 2*0.05 ) = ( 1.9, 2.1 )

D) when the sample average ( X )  = 1.97

confidence interval =  X ± [tex]Z_{95%}[/tex] ( std / √n )

                                = 1.97 ± 1.96 ( 0.05 / √100 )

                                =  (1.9602, 1.9798)

There are four sub-parts in the question, whose answers are mentioned below:

Given information:

Mean of sample = [tex]\overline{x}[/tex] =1.99

Standard deviation of population= [tex]\sigma[/tex] = 0.05

Size of sample = n = 100

Part a: Setting 95% confidence interval

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.99 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9802, 1.9998)\\[/tex]

Part b: Yes, the population has to be normally distributed here, since the CI here cannot be calculated without it being normally distributed.

Part c: It is because we took n = 100 and not for single value of observation. The single value of observation has 2 liter or value is 2, and 2.02 is near 2 thus not an unusual value.

Part d: If sample average be 1.97, then CI will be as follows:

[tex]CI = \overline{x} \: \pm Z_{0.95}\dfrac{\sigma}{\sqrt{n}}\\CI = 1.97 \pm 1.96 \times \dfrac{0.05}{10}\\CI = (1.9602, 1.9798)\\[/tex]

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Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

Answer:

253 boxes

Step-by-step explanation:

757/3 = 252.33

Answer:

$25471.7

Step-by-step explanation:

1.06*25471.7=27000.002

Hope this helps

Answer:

Joe Mok

Step-by-step explanation:

Joe MAMA

5 = (20%) x (total)

5 = (0.20) x (total)

Divide each side by (0.20):

Total = (5 / 0.20)

Total = 25

Answer:

48000

Step-by-step explanation:

multiply the mass value by 32000

Answer:

48000

Step-by-step explanation:

.

Answer:

1 1/4 miles

Step-by-step explanation:

3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4

Answer:

Step-by-step explanation:

a)

2.64÷3.3  ( said  2.64 divided by 3.3)

3.3√2.64  ( yes I know it's not the division sign but it's as close as we can get)

2.64 / 3.3

All three representations  are the same. each say  divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means.   I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.

so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places.  :?  one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times  to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?

so

100(3.3 √ 2.64 )

move the decimal point in both 2 places right

330.0 √ 264.0

I put the extra zeros in, just so you can see the decimal easy.  The zeros to the right of the decimal make no difference here.

now I'll know to put the number that I use to divde with above the zero,  of 264.0  .. and i'll think about how many times 3 goes into 26 ,without going over.  3*8 = 24 so I want an 8

    ↓ ←   ←  ← 0.8

330.0 √ 264.0      ( multiply  8 * 330 = 2640 )

    ↓ →   -264 .0      ( subtract 2640 from the number above )

                       0

you are done with that one, since there is zero left over and   0.8 is the answer

b)

0.324 ÷ 0.27

0.27 √ 0.324

0324 / 0.27

1000( 0.27 √ 0.324)

270 √ 324.0

  ↓  ←  ←  1.2

270 √ 324.0

 ↓→   - 270   ( multiply by the 1 )

 ↓    =      54

 ↓→       - 540  (multiply by the 2 )

                  0

since there is zero left over you are done. The answer is  1.2

C)

0.32 ÷ 0.16

0.16 √ 0.32

100(0.32 / 0.16)

↓ ←   2

16 √32

↓→  -32  ( multiply 16 * 2 = 32 )

         0

zero left over you are done.  the answer is 2 :)

d)

16.92 ÷ 9.4

9.4 √ 16.92

100(16.92 / 9.4)

  ↓   ←  ←  1.8

940 √1692.0

 ↓→→ - 940       (multiply by 1 )

 ↓        7520

 ↓→  -  7520      (multiply by 8 )

                 0

since there is zero left you are done,  The answer is  1.8

that was a lot, really nobody has talked or told you how to do this before?  

where is your teacher?  :/  

The gym charges $41.5 per month.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

One time fee of gym = $59

Justine will pay after one year = $557

So, gym fees per year = $557 - $59

⇒ gym fees per year = $498

∴ gym fees per month = gym fees per year / 12

⇒ gym fees per month = $498/12

⇒ gym fees per month = $41.50

Thus,the gym charges $41.50 per month.

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Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

[tex]\sqrt{65}[/tex] is the closest to 8

Step-by-step explanation:

[tex]\sqrt{61}=7.81 \\\sqrt{66}=8.12 \\\sqrt{65} =8.06\\\sqrt{62} =7.87[/tex]

Answer: Hello the statement related to your question is missing attached below is the statement

answer : The statement is false

Step-by-step explanation:

The statement is false

This is because a confidence interval gives a range of values for an unknown parameter.

A 95% confidence interval is calculated and it gives a lower and upper limit in which the 58% of the voters can fall into i.e. The 58% of voters can fall within the upper and lower limit of the 95% confidence interval and not exactly 95% . Hence the statement is false.

Answer:6 cartons wide

Step-by-step explanation:

It is 6 cartons wide due to the fact that there is no room left over. Awnser achived through text.

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

Answer:

B. {robin, sparrow, pelican}

Step-by-step explanation:

hope it helps you...

The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Let event A = The animal is a bird

Let event B = The animal can fly.

Hence, We get;

The outcomes are in A and B in which animal is a bird and also can fly.

Thus, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

Hence, The outcomes are in A and B is,

⇒  {robin, sparrow, pelican}

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Answer:

The answer is B) 152

Step-by-step explanation:

Answer:

Stratified random

Step-by-step explanation:

got it right

Answer:

C

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

First,

Add 45+52+15

Then the answer will be 112

Then -(minus) from 100

Answer:

18 students

Step-by-step explanation:

45 - 15 = 30 students only read physics

52 - 15 = 37 students only read chemistry

15 students read both

add all of them:

30 + 37 + 15 = 82

subtract the sum from 100

100 - 82 = 18

18 students doesn't study neither

Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)

As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3

Equation:

=> y - y1 = m(x - x1)

=> y - 0 = (3)(x - (-2))

=> y = 3(x + 2)

=> 3x - y + 6 = 0

Answer:

Franklin Delano Roosevelt, often referred to by his initials FDR, was an American politician who served as the 32nd president of the United States from 1933 until his death in 1945. A member of the Democratic Party, he won a record four presidential elections and became a central figure in world events during the first half of the 20th century. Roosevelt directed the federal government during most of the Great Depression, implementing his New Deal domestic agenda in response to the worst economic crisis in U.S. history. As a dominant leader of his party, he built the New Deal Coalition, which defined modern liberalism in the United States throughout the middle third of the 20th century. His third and fourth terms were dominated by World War II, which ended shortly after he died in office.

Step-by-step explanation:

to this ‘Great Man Theory’ it can be said that Franklin Delano Roosevelt upheld his victorious and highly regarded government through means of social, economic and political reforms, as well as ambitious personal and strategic decisions that have successfully remained influential to American society today and maintained his image as a prominent historic leader.

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Answer:

i dont know im just doing this for the points

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

a) 1.6 x 10 ^6 dollars.

Step-by-step explanation:

since President Ronald Reagan served for 8 years. So the total amount of money that he earned is 2 x 10^5 x 8 = 16 x 10 ^ 5 = 1.6 x 10^6 dollars.