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3 years ago

Solve for x: -0.25(-x-12)=2

1 answer:

5 0

Expand the brackets by multiplying everything in the brackets by -0.25.

-x x -0.25 = 0.25x
-12 x -0.25 = 3

0.25x + 3 = 2

-3 from both sides.

0.25x = -1

Divide both by 0.25

x = -4

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A bag contains 8 red balls and 6 blue

Andreyy89

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

5 0

2 years ago

❗️❗️❗️Find the length of side x in simplest radical form with a rational denominator.❗️❗️❗️

tiny-mole [99]

Answer:

$x=\frac{\sqrt{14} }{2}$

Step-by-step explanation:

Notice that you are given an isosceles right-angle triangle to solve, since each of its two acute angles measures $45^o$ . Then such means that the sides opposite to these acute angles (the so called "legs" of this right angle triangle) must also be of the same length (x).

We can then use the Pythagorean theorem that relates the square of the hypotenuse to the addition of the squares of the triangles legs:

$(\sqrt{7})^2=x^2+x^2\\7=2\,x^2\\x^2=\frac{7}{2} \\x=+/-\sqrt{\frac{7}{2}} \\x=+/-\frac{\sqrt{14} }{2}$

We use just the positive root, since we are looking for an actual length. then, the requested side is:

$x=\frac{\sqrt{14} }{2}$

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2 years ago

If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}

Soloha48 [4]

When Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10) Q ∩ P = { 1, 9}

<h3>How to calculate the value?</h3>

Set theory simply means the branch of mathematical logic that deals with sets, that can be described as collections of objects.

It should be noted that perfect squares are the numbers that can be divided to give same number.

Q = {all perfect squares less than 30}. This will be 1, 4, 9, 16, 25

P ={ all odd numbers from 1 to 10}. This will be 1, 3, 5, 7, and 9.

In this case, the common numbers to set of P and Q are 1 and 9.

Therefore, the numbers are 1 and 9 since they're common to both sides.

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

If Q = {all perfect squares less than 30} and p={ all odd numbers from 1 to 10}. Find Q ∩ P.

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Savatey [412]

Answer:

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3 years ago

What is the equation of the line that passes through the point (4,-2)(4,−2) and has a slope of -2−2?

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i believe the answer is y = -2x + 6

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Solve for x: -0.25(-x-12)=2​

Solve for x: -0.25(-x-12)=2