MATHEMATICS HIGH SCHOOL

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 2.

Answers

Answer 1
Answer:

Answer:

Probability of rolling a number greater than 2 = 5/6

Step-by-step explanation:

Given:

Number;

1,2,3,4,5,6,7,8,9,10,11,12

Find:

Probability of rolling a number greater than 2

Computation:

Number greater than 2 = 10

Probability of rolling a number greater than 2 = Number greater than 2 / Total number

Probability of rolling a number greater than 2 = 10 /12

Probability of rolling a number greater than 2 = 5/6

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The target above can be describes as
Directions. Convert the equations from standard from slope-intercept form.5. 2x-y = -7

Graph f(x)=3/2x+2. Use the line tool and select two points to graph the line.

Answers

The points are (-1.333, 0) and (0, 2).

What is equation of line?

The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.

An equation of a line is an algebraic expression that represents the several points that together make up a line in the coordinate axis as a set of variables, x, and y.

The given term is,

f(x) = 3/2x+2,

Substitute f(x) = y

y=3/2x+2    (1)

Since, the standard form of equation of line is y=mx+c

compare equation (1) which standard equation of line,

m=3/2, and c=2

On the graph of the line the points are, (-1.333, 0) and (0, 2).

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Xavier is thinking of a number. Nine more than four times the number is the same as fifteen less than twice the number. What is Xavier's number?

Answers

Answer:

x=1

Step-by-step explanation:

9+4x=15-2x

9+6x=15                    Add two to both sides

6x=6                        divide by 6

x=1

Answer:

-12

Step-by-step explanation:

I set it up as an equation based on the word problem you gave me

So

2n - 15 = 4n + 9

Combine like terms

-2n = 24

Isolate the variable n

-2n/-2 = 24/-2

n = -12

To check your work replace the n with -12

2(-12) - 15 = 4(-12) + 9

-24 - 15 = -48 + 9

-39 = -39

The amount of money that the borrower receives at the time a discounted note is made is known as the

Answers

It's the proceeds that are widely considered as the actual amount of money made that the borrower receives. Note that it's considered as that once the discounted note as been calculated and provided to the client who borrowed the money, too.

Find the value of -7 - 8 - (-8) - 7.

Answers

-14 is the answer, cause i think the -(-8) crosses out the -8 cause -+-=+ and -7-7=-14, thats what ithink

As x → −[infinity], y → ? As x → [infinity], y → ? Determine the end behavior for y = 8x^4 Determine the end behavior for y = -49 + 5x^4 + 3x Determine the end behavior for y = -x^5 + 5x^4 + 5

Answers

Problem 1

The end behavior of y = 8x^4 is:

\text{As x} \to -\infty, \text{ y } \to \infty\n\text{As x} \to \infty, \text{ y } \to \infty

In either case, y approaches positive infinity. This end behavior is the same as a parabola that opens upward. This applies to any even degree polynomial.

Informally we can describe the end behavior as: "Both endpoints rise up forever".

======================================

Problem 2

The end behavior of y = -49 + 5x^4 + 3x is the exact same as problem 1. Why? Because the degree here is 4. The degree is the largest exponent.

======================================

Problem 3

For this problem we have the polynomial y = -x^5 + 5x^4 + 5

This time the degree is 5, which is an odd number.

The end behavior would be

\text{As x} \to -\infty, \text{ y } \to \infty\n\text{As x} \to \infty, \text{ y } \to -\infty

Informally, we can state the end behavior as "Rises to the left, falls to the right".

The endpoints go in opposite directions whenever the degree of the polynomial is odd. Think of a cubic graph. The "falls to the right" is due to the negative leading coefficient.

I strongly recommend using a TI83, TI84, Desmos, or GeoGebra to graph out each polynomial so you can see what the end behavior is doing.

15 is 2 1/2 of what number?

Answers

15 is 2 1/2 of a number 6.

We need to find that 15 is 2 1/2 of what number.

What is the meaning of 'of' in maths?

In math, 'of' is also considered one of the arithmeticoperations which means multiplication within the brackets.

Let the unknown number be y.

Now, 2 1/2 of y=15

⇒5/2 ×y=15

⇒y=6

Therefore, 15 is 2 1/2 of 6.

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▪ Answer:

n = 6

▪ Step-by-step explanation:

n × 2 1/2 = 15

n × 5/2 = 15

n × 5 = 30

n = 30 ÷ 5

n = 6
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