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Vinvika [58]
2 years ago
6

A cone has height h and a base with radius r. You want to change the cone so its

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
3 0

9514 1404 393

Answer:

  a) h/2

  b) r/√2 = (r√2)/2

Step-by-step explanation:

a) The volume of a cone is proportional to height. If the volume is halved, then the height will be halved.

The new height will be h/2.

__

b) The volume is proportional to the square of the radius. If the volume is halved, the square of the radius is halved. The new radius will be ...

  (r')² = r²/2

  r' = r/√2 = (r√2)/2 . . . radius of half-volume cone

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Answer:

Step-by-step explanation:

You need to know the formula for the area of a circle , do you?

it's pi*r^{2}

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54/2 = 27

so

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4 0
2 years ago
I NEED HELP ASAP WITH A LOT OF QUESTION!!!!
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Answer:

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Step-by-step explanation:

8 0
2 years ago
A survey showed that 77% of us need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. 13 adults are randomly
earnstyle [38]

Using the binomial distribution, it is found that the probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

For each person, there are only two possible outcomes, either they need correction for their eyesight, or they do not. The probability of a person needing correction is independent of any other person, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial distribution formula?</h3>

The formula is:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • A survey showed that 77% of us need correction, hence p = 0.77.
  • 13 adults are randomly selected, hence n = 13.

The probability that at least 12 of them need correction for their eyesight is given by:

P(X \geq 12) = P(X = 12) + P(X = 13)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 12) = C_{13,12}.(0.77)^{12}.(0.23)^{1} = 0.1299

P(X = 13) = C_{13,13}.(0.77)^{13}.(0.23)^{0} = 0.0334

Then:

P(X \geq 12) = P(X = 12) + P(X = 13) = 0.1299 + 0.0334 = 0.163

The probability that at least 12 of the 13 adults require eyesight correction is of 0.163 = 16.3%. Since this probability is greater than 5%, it is found that 12 is not a significantly high number of adults requiring eyesight correction.

More can be learned about the binomial distribution at brainly.com/question/24863377

7 0
2 years ago
How many different pairs of faces are congruent in a rectangular prism that is not a cube
Kaylis [27]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Multiply 12 by the sum of 8 and t - write an expression for the words
Tom [10]
12(8+t) You do what's in the parenthesis first, then multiply by 12, or in other words multiply 12 by the sum of 8 and t.
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