All categories

2 years ago

Which oh the following are among the five basic postulates of Euclidean geometry

Mathematics

1 answer:

igomit [66]2 years ago

8 0

1. A straight line segment can be drawn joining any two points.

2. Any straight line segment can be extended indefinitely in a straight line.

3. Given any straight line segment, a circle can be drawn having the segment as radius and one endpoint as center.

4. All right angles are congruent.

5. If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than two right angles, then the two lines inevitably must intersect each other on that side if extended far enough. This postulate is equivalent to what is known as the parallel postulate.

You might be interested in

The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir

Paha777 [63]

Answer:

95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean time = 5.15 years

$\sigma$ = sample standard deviation = 1.68 years

n = sample of college graduates = 4400

$\mu$ = population mean time

Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.

So, 95% confidence interval for the population mean, $\mu$ is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

P( $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ) = 0.95

95% confidence interval for $\mu$ = [ $\bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } }$ , $\bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } }$ ]

= [ $5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } }$ , $5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } }$ ]

= [5.10 , 5.20]

Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0

3 years ago

Only number one please help

Alex73 [517]

Answer:

C) 75 + 50x = 25 + 70x

Step-by-step explanation:

ABC Tech:

$50 an hour. So,for x hours= 50 * x = 50x

Service charge = 75 + 50x

Tech Squad:

$70 an hour. So,for x hours= 70 * x = 70x

Service charge = 25 + 70x

C) 75 + 50x = 25 + 70x

50x - 70x = 25 - 75

-20x = -50

x = -50/-20

x =5/2 = 2 $\frac{1}{2}$ hours

6 0

3 years ago

Could i please get this by today?

aleksley [76]

Answer:

ex.1: 9000$ ex.2: The only way it would work is 9x(-9)= -18+5= -13. ex.3: around 4 hours ex.4: I'm so sorry, I don't understand that. I failed you on that one someone else can answer it ex.5: 149 lbs.

Step-by-step explanation:

Ex1: Is he earns 1/6 of his sales, then it's 1500x6, which is 9000$.

Ex2: Shown in answer.

Ex3: !60+38=198+18=236+38=312.

Ex4: :'(

Ex5: Ruby is 3 lbs less than half her mom's weight, so it would be 76x2=152, then 152-3=149.

4 0

3 years ago

Adam is a team leader for a moving company. today, his team packed 135 boxes in 5 hours. what was his team's packing rate, in bo

xenn [34]

Answer:

135 / 5 = 27

his packing rate is 27 boxes and hr

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A satrellite moves at a speed of 27,000 kilometers per hour. Write four numbers that could be the actual speed of the satellite?

Maurinko [17]

Some satellites are up to 13,482,567 or 30,098,766 or 80,453,872 or even 900,435,879

8 0

2 years ago