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Dahasolnce [82]
2 years ago
9

Which postulate proves these two

Mathematics
1 answer:
jeka57 [31]2 years ago
8 0

Answer:

SAS

Step-by-step explanation:

According to the figure...

<em><u>AB=</u></em><em><u>CD</u></em><em><u>. </u></em><em><u>(</u></em><em><u>side)</u></em><em><u> </u></em><em><u>(</u></em><em><u>given)</u></em>

<em><u>AC=</u></em><em><u>AC </u></em><em><u>(</u></em><em><u>side)</u></em><em><u> </u></em><em><u>(</u></em><em><u>common</u></em><em><u>)</u></em>

<em><u>angle</u></em><em><u> </u></em><em><u>B=</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>D </u></em><em><u>(</u></em><em><u>angle</u></em><em><u>)</u></em><em><u> </u></em><em><u>(</u></em><em><u>given</u></em><em><u>)</u></em>

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The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d
velikii [3]

Answer:

a) X \sim N(9.3,1)  

b) P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(9.3,1)  

Where \mu=9.3 and \sigma=1

3) Part b

We are interested on this probability

P(X>9.2)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.25   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

P(X  

P(Z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.6745

And if we solve for a we got

a=9.3 +1*0.6745=9.9745

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.  

8 0
3 years ago
What are the remaining angle measures if the figure is to be a parallelogram?
goldfiish [28.3K]

The correct answer is  

m∠B ==101°,

m∠C =79°,

m∠D=101°

Step-by-step explanation:

  • As we know that, it is a parallelogram opposite angels are congruent
  • Therefore,  m∠A = m∠C and m∠B =m∠B
  • As we know that, If side a=79 then side c must also be equal to 79
  • When we consider all the angles and add them it must be equal to 360°
  • When we add 79+79 = 158°, which mean a=c= 158°
  • By subtracting all the sides of parallelogram which is 360- 158= 202°
  • If we divide it by 2 then we will get the value of the other side of the angle which is  b and d.
  • Dividing 202 by 2
  • \frac{202}{2} = 101°
  • Therefore, the value of b=d=101°
  • A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
  • A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
3 0
3 years ago
Read 2 more answers
Evaluate W - X if w = 18 and x = 6.<br> Giving BRIANLIEST
xenn [34]

Answer:

12

Step-by-step explanation:

18 -6

12

Hope that this helps you and have a great day :)

5 0
2 years ago
"Two planes leave the airport at the same time. Plane 1 travels just 9 miles east from
Vika [28.1K]
The answer is 41 miles


Imagine the diagonal distance is called c
Using Pythagorean theorem 40^2 + 9^2 = c^2
1600 + 81 = c^2
The square root of 1681 is 41
So c = 41
8 0
3 years ago
A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were children's tickets. How many children's ticket
professor190 [17]
According to my calculations the 30% of 570 is 171

10% of 570 is 57

times that by 3 and you get 171
7 0
3 years ago
Read 2 more answers
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