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nadezda [96]
3 years ago
13

There are three different cubes such that the first cube is 64 times the volume of the second, and the volume of the second cube

is 27 times less than the volume of the third. Which among the following is the ratio of the side of the first cube to third cube?
Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:

V1 / V2 = 64

s1 / s2 = \sqrt[3]{64}  = 4

Doing the same for the second and third cubes, we have:

V2 / V3 = 1/27

s2/ s3 = \sqrt[3]{1/27}  = 1/3

So the ratio of the first cube side and the third cube side is:

s1 / s3 = (s1/s2) * (s2/s3) = 4 * (1/3) = 4/3

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A box contains cards bearing numbers from 6 to 70. If one card is drawn at random from the box, find the probability that it bea
777dan777 [17]

Answer:

a) 4/65 b) 13/65 c) 12/65 d) 19/65

Step-by-step explanation:

Probability is the likelihood or chance that an event might occur.

Probability = expected outcome of event/Total outcome of event

If a box contains cards bearing numbers from 6 to 70, the total outcome will be the total number present from 6 to 70 which is 65

a) The amount of one digit number we have are 4 i.e {6,7,8,9}. This will be our expected outcome in this case.

The probability that the number drawn bears a one digit number will be 4/65

b) For numbers divisible by 5, the numbers that are divisible by 5 from the number drawn are {10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70}

The total expected outcome in this case = 13

The probability that the number drawn is divisible by 5 = 13/65

c) For odd numbers less than 30, they are {7,9,11,13,15,17,19,21,23,25,27,29}

The total expected outcome in this case = 12

The probability that the number drawn are odd numbers less than 30 = 12/65

d) For composite number between 50 and 70, this are numbers that are within this range and they includes {51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69}

The total expected outcome in this case = 19

The probability that the number drawn are composite numbers between 50 and 70= 19/65

8 0
3 years ago
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Dovator [93]

Answer:

The answer to your question is   the second choice (y ≥ 1/3x - 1)

Step-by-step explanation:

Process

1.- Find two points of the graph

A (0, -1)

B (3, 0)

2.- Find the slope

m = (0 + 1)/(3 - 0)

m = 1/3

3.- Find the equation of the line

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4.- Find the equation of the inequality

      We need the upper part of the line so the inequality must be

       y ≥ 1/3x - 1

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jolli1 [7]

Answer:

g =37

Step-by-step explanation:

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