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3 years ago

The electric bill in may was $215.00 In June the bill was $274.00 What is the percent of increase rounded to the nearest tenth ?

Mathematics

1 answer:

Murljashka [212]3 years ago

4 0

You can complete this by solving:
$215 + 215(x) = 274$
Which should give you .274418 or 27.44%

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The table below shows all outcomes for rolling 2 dice. The bold numbers 1 through 6 show the possible results for each die. All

Leokris [45]

Part I:

1. If you have to circle each outcome in the table that at least 1 die is a 4, then you have to circle row corresponding to the number 4 and column corresponding to the number 4.

2. If you have to cross out each outcome where the sum of the dice is greater than 5, then you have to cross out all not bold numbers 6, 7, 8, 9, 10, 11 and 12 in the table.

Part II:

Here you can see 36 possible outcomes.

1. The probability that at least 1 die is a 4 is:

$Pr(A)=\dfrac{11}{36}$ - (favorable outcomes are 4+1=5, 4+2=6, 4+3=7, 4+4=8, 4+5=9, 4+6=10, 1+4=5, 2+4=6, 3+4=7, 5+4=9, 6+4=10).

2. The probability that the sum of the dice is greater than 5 is:

$Pr(B)=\dfrac{26}{36}=\dfrac{13}{18}.$

3. The probability that at least 1 die is a 4 and that the sum of the dice is greater than 5 is

$Pr(A\cap B)=\dfrac{9}{36}=\dfrac{1}{4}.$

4. The probability that at least 1 die is a 4 or that the sum of the dice is greater than 5 is:

$Pr(A\cup B)=\dfrac{28}{36}=\dfrac{7}{9}.$

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3 years ago

A triangle has sides of lengths 13, 21, and 24. is it a right triangle? explain

mel-nik [20]

No, it doesn't. To find out if it's a right angled triangle, we use Pythagorean triple. It states that the square of the hypotenuse (the longest side) is equal to the sum of the squares of the opposite and adjacent sides. Obviously, the longest side, which is our hypotenuse is 24. So we want to find out whether the square of our hypotenuse is equal to the sum of the squares of the other two sides i. e 13 and 21. 24^ 2 = 576 ; 13^2 = 169 ; 21^2 = 441; So is 576 = 169 + 441. An emphatic No: hence the triangle isn't right angled since it doesn't satisfy pythagorean triple.. A^2 is not equal to B^2 + C^2 where a is the hypotenuse and b and c the opposite and adjacent sides.

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2 years ago

Two cars, each with a different volume of gas in their tanks, start moving at the same time. However, the volume of gas in their

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Answer:

8 hours

Step-by-step explanation:

−0.75x + 18 = -x+20

0.25x = 2

x = 8

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2 years ago

Question 1: Which expression correctly shows 2x^5−54x^2 factored over the integers using the difference of cubes method?

lubasha [3.4K]

Answer:

Question 1: Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question 2: Options 1, 2, 5

Step-by-step explanation:

Question #3

Step 1: Factor

2x^5 − 54x^2

2x^2(x^3 - 27)

2x^2(x - 3)(x^2 + 3x + 9)

Answer: Option C, 2x^2(x - 3)(x^2 + 3x + 9)

Question #2

p(x) = 4x^6 + 32x^3

Step 1: Factor

4x^6 + 32x^3

4x^3(x^3 + 8)

4x^3(x + 2)(x^2 - 2x + 4)

Answer: Options 1, 2, 5

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2 years ago

Simplify (x²-1)∧-2/3

SVEN [57.7K]

(x² - 1)^-2/3
∛(x² - 1)-²
∛(1/(x² - 1)(x² - 1))
∛(1/(x^4 - x² - x² + 1))
∛(1/(x^4 - 2x² + 1))
1/x^4/3 - 1.25992105x^2/3 + 1

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3 years ago