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Aleonysh [2.5K]
3 years ago
13

A single six-sided fair die is tossed, what is the probability of obtaining a number greater than 4?

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

1/3 or 0.333333

Step-by-step explanation:

The question talks about a die that was tossed once and we are now asked to find the probability that it is a figure greater than 4

---A die has 6 faces with the numbers 1,2,3,4,5 and 6 one on each of

the six faces.Considering an unbaised die the probability of any of the faces to appear in a single roll is 1/6.

So, P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6

Now that numbers greater than 4 are 5 and 6

So it can be P(5) or P(6)= P(5)+P(6)=2/6 = 1/3 or 0.33333

Answer 1/3 or 0.33333

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The surface area (SA) of a cube can be written as:

SA = 6s²

From here we can write, the length of the side s as:

s= \sqrt{ \frac{SA}{6} }

For cube with surface area of 1200 square inches, the side length will be:

s= \sqrt{ \frac{1200}{6} }=10 \sqrt{2} inches

For cube with surface area 768 square inches, the side length will be:

s= \sqrt{ \frac{768}{6} }=8 \sqrt{2} inches

The difference in side lengths of two cubes will be:

10 \sqrt{2} -8 \sqrt{2}=2 \sqrt{2}

Rounding to nearest tenth of an integer, the difference between the side lengths of two cubes will be 2.8 inches. 
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Gavin is thinking of a number.8 more than the product of 7 and the number is 120. find the number.
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<h3><u>The value of the number is equal to 16.</u></h3>

7x + 8 = 120

<em><u>Subtract 8 from both sides.</u></em>

7x = 112

<em><u>Divide both sides by 7.</u></em>

x = 16

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3 years ago
A triangle has the area of 1/2(4x^2+29x+30)ft^2. If the base of the triangle is (x+6) ft, find the height of the triangle.
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Answer:

4x+5 ft

Step-by-step explanation:

1/2(4x²+29x+30) = 1/2 (x+6) * Height

Height = (4x²+29x+30) / (x+6) = (x+6) (4x+5) / (x+6) = 4x+5

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A number of cats got together and decided to kill between them 999919 mice. every cat killed an equal number of mice. Each cat k
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Step-by-step explanation:10,000 cats

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Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th
Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?  

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / \frac{5}{2}m / $600

In this question cost of the large fridge is 3 times as much as the regular fridge.

Area of the base of regular fridge = 1m²

Height of the regular fridge = 2m

So volume of this fridge = 1×2 = 2m³

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Height of the large fridge = \frac{5}{2}m

Volume of the large fridge = \frac{5\times 2}{2} = 5m³

Ratio of the volumes of the large and regular fridge = \frac{5}{2}=2.5:1

Therefore, volume of the gigantic fridge is 2.5 times the volume of regular fridge.

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