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Soloha48 [4]
3 years ago
12

SMART PEOPLES HELP ME ASAP

Mathematics
1 answer:
inysia [295]3 years ago
3 0

Answer:

35 degrees

Step-by-step explanation:

The angle is given to be a right angle by the red square. The right angle is intercepted by a line. One side of the whole 90 degree angle is said to be 55 degrees. Both sides should equal 90 degrees if added.

This means that to find the missing angle, you would subtract 55 degrees from 90 degrees to get 25 degrees.

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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
Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are b
Kay [80]

Answer:

$10

Step-by-step explanation:

The hardcover books are $12 each which would be $60 out of the $100. There are four more paperbacks meaning they would be $10 each and cost $40 total.

I hope this helped!!! :)

6 0
3 years ago
An elephants heart beats 28 times per minute.How many times does it beat in a half an hour?
Bumek [7]
30 x 28= 840

It's would beat 840 times in half an hour.
7 0
3 years ago
Translate this sentence into an equation.
Kobotan [32]

Answer:

h-15=42 ~~~~ Brainliest would be nice :') thank u!

Step-by-step explanation:

8 0
3 years ago
A school has 764 students. Of the students, 118 are in third grade. Which equation can be used to find s, the total number of st
aleksklad [387]

Answer:

118+s=764

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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