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3 years ago

The surface area of a cone is 54 square inches. What is the surface area of a similar cone that is three times as large?

Mathematics

1 answer:

12345 [234]3 years ago

6 0

Given:

Given that the surface area of the cone is 54 square inches.

We need to determine the surface area of the cone that is similar to the cone three times large.

Surface area of the similar cone:

Let us determine the surface area of the similar cone.

The surface area of the similar cone can be determined by multiplying the surface area of the cone by 3. Because it is given that the similar cone is three times large.

Thus, we have;

$SA = 3 \times 54$

$SA=162$

Thus, the surface area of the similar cone is 162 square inches.

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Which number is prime? 63 51 61 57

kondor19780726 [428]

Hey there!

No numbers go into a prime number other than one and that number. 9 and 7 go into 63, so it’s not 63. 3 and 17 go into 51, so it’s not 51. 19 and 3 go into 57, so it’s not 57. That leaves 61. Nothing goes into this other than one and 61, so the answer is 61.

I hope this helps!

7 0

3 years ago

A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l

tankabanditka [31]

Answer:

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 95

Given that the standard deviation of the Population = 5

Let 'X' be the random variable in a normal distribution

Let X⁻ = 96.3

Given that the size 'n' = 84 monitors

Step(ii):-

The Empirical rule

$Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }$

Z = 2.383

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = P(Z≥2.383)

= 1- P( Z<2.383)

= 1-( 0.5 -+A(2.38))

= 0.5 - A(2.38)

= 0.5 -0.4913

= 0.0087

Final answer:-

The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors

P(X⁻ ≥ 96.3) = 0.0087

3 0

2 years ago

Andrea is selling candles as a fundraiser. she spent $50 on supplies for making the candles. she plans to sell the candles for $

Luda [366]

In order for Andrea to make profit, the value of the C in the given function must not be 0 or less than zero. So, let's find the value of x when C is zero.

C = 0 = 10x - 50
x = 5

Hence, the number of candles sold represented by x must be more than 5 (< 5). Therefore, the domain is (5,+∞). When the value of x is more than 5, the C or the range would be greater than 0. Thus, the range is (0,+∞).

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3 years ago

Line r cuts a pair of parallel lines. One of the eight angles created measures 90°. Which statements about the angles are true?

MrRa [10]

Answer:

Step-by-step explanation:

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3 years ago

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vlabodo [156]

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3 years ago