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Vedmedyk [2.9K]
2 years ago
8

four spheres of radius 6cm fit into a cylinder with a height of 12cm. calculate the volume inside the cylinder that is empty. le

ave your answer in terms of pi.
Mathematics
1 answer:
butalik [34]2 years ago
7 0

Answer:

V = 432pi cm^3

Step-by-step explanation:

Pi x r^2 x h

Pi x 6^2 x 12 cm = 432 pi cm^3

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At Pike Place Fish Market in Seattle, customers can purchase a variety of different types of seafood. One type of seafood sold a
allsm [11]

Answer:

z=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

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(3.6,0.8)  

Where \mu=3.6 and \sigma=0.8

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

P(X>a)=0.1   (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 0.9 of the area on the left and 0.1 of the area on the right it's z=1.28. On this case P(Z<1.28)=0.9 and P(z>1.28)=0.1

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=1.28

And if we solve for a we got

a=3.6 +1.28*0.8=4.624

So the value of height that separates the bottom 90% of data from the top 10% is 4.624.

So then the best answer for this case would be:

 C. 4.64

8 0
3 years ago
PLZ help me and anyone who can help me will get 15 points
Liula [17]

Answer:

the answer is 43

Step-by-step explanation:

4 = 3s joe biden

4 0
2 years ago
Last Friday Cicely had $22.50. Over the weekend she received some money for
Bumek [7]

Answer:

It should be $32 - $22.50.

Step-by-step explanation:

This is because we're trying to find out the amount she received. So we will subtract the amount she already has from how much she now has to figure out how much she received. 32 - 22.50 = 9.50.

Hope this helps:)!

5 0
2 years ago
Solve for x 2(x-3)+21=-3
algol [13]

Answer:

X=-9

Step-by-step explanation:

First, distribute the 2. So, it would be 2x-6+21=-3. Then, bring the -6 and 21 to the right side. It would now be 2x= -18. X would be equal to -9.

Hope this helps!

6 0
2 years ago
What is the domain of the graphed function?
postnew [5]

Answer:

y 1 X (a)y=X2—1 y —l 0 l x <b>y= |x2—1| FIGURE |0 x (input) f(g(x)) (output) FIG ... FROM OLD FUNCTIONS 4| I] EXAMPLE 5 Sketch the graph of the function y = |x2 ... a manner similar to the way we add, subtract, multiply, and divide real numbers. ... but we can't divide by O and so the domain of fly is {x E A O B| g(x) 75 O}.

Step-by-step explanation:

7 0
2 years ago
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