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3 years ago

A bottle contains 2 L 95 mL water. Express the amount of water in litres.

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer:

2.095

Step-by-step explanation:

2 litres= 2000ml

2000+95 ml = 2095ml

Now in litres:

2095/1000= 2.095 litres

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A group of 30 students from your school is part of the audience for a TV game show. The total number of people in the audience i

s344n2d4d5 [400]

Answer:

5.3%

Step-by-step explanation:

The final probability is calculated by means of the quotient of the specific combinations and the total of total combinations

Let's start with the specific ones,

First the number of combinations of 4 of the 30 students getting a spot, i.e .:

A combinations are equal to:

nCx = n! / x! * (n-x)!

Replacing:

30C4 = 30! / (4! * 26!) = 27405

Segundo the number of combinations of the other audience members filling the other 4 (8-4) spots n = 110, 140 - 30

110C4 = 110! / (4! * 106!) = 5773185

Now the total combinations of possible 8 contestants from the audience

140C8 = 140! / (8! * 132!) = 2.98 * 10 ^ 12

Finally, the probability is equal to:

P = (30C4 * 110C4) / 140C8

replacing:

P = 27405 * 5773185 / 2.98 * 10 ^ 12

P = 0.053

Therefore the probability is 5.3%

4 0

3 years ago

If Hillary can read 560 words in 7 minutes how many words can Hilary read in 1 minute

Elza [17]

To find the number of words she can read per minute, we would do 560 divide by 7 minutes

560/7 = 80 words per minute

Hope this helps

3 0

3 years ago

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The volume of a cube is 27000 cubic inches. What is the length of one side?

anyanavicka [17]

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

$\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}$

Therefore, the lenght of one side is 30 inches.

4 0

1 year ago

Solve x^2 +14x=15 by completing the square

ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to rewrite the equation in the form $x^{2}+2ax+a^{2}=(x+a)^{2}$ .

This results in $x^{2} + 14x + 7^{2} = 15 + 7^{2}$ .

Next, we simplify the equation to get $x^{2} +14x+7^{2} = 64$ .

Factoring the left side gives us $(x+7)^{2} = 64$ .

Finally we solve the equations: $x+7=\sqrt{64}$ and $x+7=-\sqrt{64}$ .

This gives us x=1, and x=-15

6 0

3 years ago

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Describe how the graph of the function is related to the graph of f(x) = x^2

astraxan [27]

Answer:

Step-by-step explanation:

graph show it If you put a number in for x then you can see the different

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3 years ago

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