MATHEMATICS COLLEGE

If a number is increased by 20% then the number is 24 find the number

Answers

Answer 1
Answer:

Answer:

20

Step-by-step explanation:

  • x+20%=24
  • x+x*20/100=24
  • x+0.2x=24
  • 1.2x=24
  • x=24/1.2
  • x=20

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A red die is tossed and then a green die is tossed. What is the possibility that the red die shows a six or the green die shows a six?

Answers

The two events are independent of each other.

This means that:

\text{Pr}(\text{red 6}) = \text{Pr}(\text{green 6})
\text{So total probability is: } \text{Pr}(\text{red 6}) + \text{Pr}(\text{green 6}) = (2)/(6) = (1)/(3)

PLEASE ANSWER ASAP 100 POINTS!! WILL MARK BRAINLIEST!!! The kids in the neighborhood often play a variation of the game hopscotch. In one section of the park, there are triangles and rectangles painted on the ground. What is the height, h, of one blue triangle if the area of the triangle is 90 square inches? 5 in. 10 in. 20 in. 72 in.

Answers

Answer:

10 inches

Step-by-step explanation:

I just took this quiz and this is the correct answer
the answer is 10 inches

A statistic is a characteristic of a sample while a parameter is usually an unknown population parameter?True

False

Answers

This should be Correct-

Answer:

True

Explanation:

A statistic is a characteristic of a sample, a portion of the target population. A parameter is a fixed, unknown numerical value, while the statistic is a known number and a variable which depends on the portion of the population.

Parameter Definition: a quantity or statistical measure that, for a given population, is fixed and that is used as the value of a variable in some general distribution or frequency function to make it descriptive of that.

Population: The mean and variance of a population are population parameters.

Statistic Definiton: A statistic or sample statistic is any quantity computed from values in a sample that is used for a statistical purpose. Statistical purposes include estimating a population parameter, describing a sample, or evaluating a hypothesis. The average of sample values is a statistic.
The answer is: true

Hope this helps! Happy holidays;)

Angle 1 is congruent to angle 2 prove p is parallel to q

Answers

You'll need 2 more lines to complete this two column proof.

---------------------

Line 4

For the "statement" portion, you'll say something like \angle 2 \cong \angle 3

The reason for this statement is "transitive property"

We're basically combining lines 1 and 3 to form this new line.

The transitive property is the idea that if A = B and B = C, then A = C. We connect the statements like a chain.

---------------------

Line 5

The statement is what you want to prove since this is the last line.

So the statement is p || q

The reason is "converse of corresponding angles theorem"

As you can probably guess, this theorem says "If two corresponding angles are congruent, then the lines are parallel".

Final answer:

To prove that lines P and Q are parallel based on congruent angles, utilize the geometric understanding that if a transversal intersects two parallel lines, the corresponding angles are congruent. Given that angle 1 is congruent to angle 2, we can infer that the lines forming these angles (P and Q) are parallel.

Explanation:

To prove that the lines P and Q are parallel using the fact that angle 1 is congruent to angle 2, you will utilize the concept of congruent angles. When two parallel lines are intersected by a transversal, the corresponding angles are congruent. Therefore, if we know that angle 1 is congruent to angle 2, we can say the lines forming these angles are parallel.

Here are the steps:

  1. Identify the given congruent angles (angle 1 and angle 2).
  2. Identify the lines that form these angles, which are lines P and Q in this case.
  3. Remember, by the corresponding angles postulate, if a transversal intersects two parallel lines, then the corresponding angles are congruent.
  4. We have given that angle 1 is congruent to angle 2. So, the lines forming these angles, P and Q, are parallel.

This process uses reasoning of the geometry and reviews the core concept of parallel lines and transversals in proving that P is parallel to Q.

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Which expression is equivalent to the given expression? 2x - 11x-6 A. 2(x – 3) (x + 1) B. (2x + 3)(x- 2) C. (2x+ 1)(x- 6) D. 2(x + 3)(x- 2)​

Answers

Answer:

Option C. (2x + 1)(x - 6)

Step-by-step explanation:

To know which option is equivalent to 2x² - 11x - 6, we shall simplify the expression as follow:

2x² - 11x - 6

Multiply the 1st term (i.e 2x²) and last term (i.e - 6) together. This is illustrated below:

2x² × - 6 = - 12x²

Next, find two factors of - 12x² such that when we add them together, it will result to the 2nd term (i.e - 11x) in the expression above.

The factors are x and - 12x

Next, replace - 11x with x and - 12x in the expression 2x² - 11x - 6 as shown below:

2x² - 11x - 6

2x² + x - 12x - 6

Next, we shall factorise the expression 2x² + x - 12x - 6 as follow:

2x² + x - 12x - 6

x(2x + 1) - 6(2x + 1)

(2x + 1)(x - 6)

Thus,

2x² - 11x - 6 is equivalent to (2x + 1)(x - 6)

Final answer:

The simplified form of the given expression is -9x - 6. Unfortunately, none of the provided options A, B, C or D is equivalent to this expression when simplified.

Explanation:

This question is centered around the idea of finding an expression that is equivalent to the given. First step is to simplify the given expression, which is 2x - 11x - 6. To simplify, combine like terms that leads to -9x - 6.

Next, we look at each of the provided options to find which one would simplify to the same expression:

A. 2 (x - 3) (x + 1) simplifies to 2x^2 -4x - 6 which isn't equal to -9x - 6

B. (2x + 3) (x - 2) simplifies to 2x^2-4x -6, which again doesn't match our given expression.

C. (2x + 1) (x - 6) simplifies to 2x^2 - 12x - 1, which doesn't match as well.

D. 2 (x + 3) (x - 2) simplifies to 2x^2 -2x -12, yet another mismatch.

With all options examined, none of the provided expressions are equivalent to the original expression of -9x - 6.

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What value of x makes the equation x^3=64 true?

Answers

Answer:

x=4

Step-by-step explanation:

4^3=64
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