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ziro4ka [17]
3 years ago
10

Two walls and a ceiling of a room meet

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0
The position of the fly is shown as cross in the diagram below

The distance of the fly from the ceiling is given as y 

We need to work out the distance x to be able to work out the value of y

by the Pythagoras theorem

x^{2} = 8^{2} + 1^{2}
x^{2} =65
x= \sqrt{65}

by Pythagoras theorem

y= \sqrt{9^{2}- ( \sqrt{65} )^{2} }
y = \sqrt{16} =4

The distance of the fly from the point P is 4m

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The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro
ololo11 [35]

Answer:

P(X>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

Step-by-step explanation:

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".  

Solution to the problem

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

X \sim N(4,\sqrt{0.25}=0.5)  

Where \mu=4 and \sigma=0.5

We are interested on this probability

P(X>3.75)

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>3.75)=P(\frac{X-\mu}{\sigma}>\frac{3.75-\mu}{\sigma})=P(Z>\frac{3.75-4}{0.5})=P(z>-0.5)

And we can find this probability using the complement rule and we got:

P(z>-0.5)=1-P(z

5 0
3 years ago
Will give brainliest!<br><br> Give an example of an undefined term and how it relates to a circle
Pani-rosa [81]

Answer:

an example of an undefined term and how it relates to a circle

Step-by-step explanation:

To learn why and more about circles go to this website:

windowseat.ca/circles

8 0
3 years ago
I need someone to explain functions and functional symmetry to me. This is very important, so if you do not have a legit answer,
dolphi86 [110]

Symmetrical functions can be about the x and y axis. Essentially, if we reflect the graph across the y or x axis, we get the same graph. Some other graphs can be reflected across both the x and y axis at the same time and be symmetrical. These can be classified as odd and even functions. You can test this by replacing x and y with -x and -y and simplify the equation. If the results comes out to be the same as the original, it is symmetrical across the origin.

Best of Luck!

3 0
3 years ago
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trong dân số một bà 70 tuổi có khả băng SLE là 2% .Nếu ANA dương tính thì khả năng bị bệnh SLE là bao nhiêu
Mamont248 [21]

Answer:

từ khoảng 70 đến 90 phần trăm

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3 years ago
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