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kotykmax [81]
2 years ago
5

If 900 square centimeters of material is available to make a box with a square base and an open top, find the largest possible v

olume of the box?
Mathematics
1 answer:
pentagon [3]2 years ago
6 0

Answer:

1400

Step-by-step explanation:

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Select the figure obtained when rotating the figure about an axis along its largest side, and find the exact surface area of the
Talja [164]

Answer:

Figure obtained - Cylinder

Surface area of the cylinder is 1224π square units.

Step-by-step explanation:

When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.

Surface area of the cylinder = 2πr(h + r)

By substituting r = 17 units and h = 19 units in the given formula,

Surface area = 2π(17)(17 + 19)

                     = (34)(36)π

                     = 1224π

Therefore, surface area of the cylinder is 1224π square units.

4 0
3 years ago
Which pair of numbers is relatively prime?
Vladimir [108]
I think it is 21 and 50. The only common factor they have is 1.


All the others are divisible by 1 & 3.
3 0
3 years ago
Read 2 more answers
What is the solution?
Leona [35]

Answer:

1200c^3

Step-by-step explanation:

cut the shape it to half with a square and a prism and calculate them separately then add the volume!

Hope this helps! ;-)

3 0
2 years ago
The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

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 certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

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

P(X>a)=0.05   (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 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

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=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
Which equation in standard form has a graph that passes through the point (-4 , 2) and has a slope of 9/2?
malfutka [58]
Answer is <span>C. 9x-2y=-40

hope that helps

because y = 9/2x +20 then 2y = 9x + 40 so 9x -2y = -40
</span>
8 0
3 years ago
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