Write a SITUATION that can be represented with this graph. Not an equation.

The probability is 0.57

What is meant by probability?

Probability is a discipline of mathematics that deals with appropriate units of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number ranging from zero and 1, where 0 denotes the event's feasibility and 1 represents certainty. The greater the likelihood of an occurrence, the more probable it will occur. Tossing a fair (unbiased) coin is a basic example. Because the coin is fair, the two possibilities ("heads" and "tails") are equally likely; the chance of "heads" equals the probability of "tails," and because no other outcomes are possible, the probability of either "heads" or "tails" is 1/2.

Probability of using the pool = 97/225 = 0.43

Probability that they do not use the swimming pool = 1 - 0.43 = 0.57

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Based om the cost of the continuous belt conveyor kiln and the monthly payments, as well as the APR of the loan, the term this loan will be paid is 120 months or 10 years.

When given the cost of a loan, the APR, and the monthly payments, you can find out the term of the loan by using the NPER function on a spreadsheet.

The Rate would be:

= 6.3% / 12 months in a year

= 0.525%

The Pmt is the payment of $765.22. This amount should be in negatives.

The Present Value or Pv should be the loan amount of $68,000.

The term on the loan would then be 120 months which is 10 years.

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Answer:

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

We can represent the quadratic equation in vertex or standard forms.

Vertex form:

Standard form:

Use the vertex form with given coordinates of the vertex:

Use the other point to find the value of a:

The equation is:

Convert it to standard form:

Answer:

[tex]y=-6x^2-12x+2[/tex]

Step-by-step explanation:

Vertex form of a quadratic equation:  

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex.

Given:

Substitute the given values into the vertex formula and solve for a:

[tex]\implies 2=a(0-(-1))^2+8[/tex]

[tex]\implies 2=a(1)^2+8[/tex]

[tex]\implies 2=a+8[/tex]

[tex]\implies a=-6[/tex]

Substitute the vertex and the found value of a into the vertex formula, then expand to standard form:

[tex]\implies y=-6(x-(-1))^2+8[/tex]

[tex]\implies y=-6(x+1)^2+8[/tex]

[tex]\implies y=-6(x^2+2x+1)+8[/tex]

[tex]\implies y=-6x^2-12x-6+8[/tex]

[tex]\implies y=-6x^2-12x+2[/tex]

Therefore, the quadratic function in standard form whose graph has the given characteristics is:

[tex]y=\boxed{-6x^2-12x+2}[/tex]

Answer:

Step-by-step explanation:

Slope-intercept form: y = mx + b

The 'm' in this formula means slope. The 'b' means the y-intercept.

y = 5x - 1

m = 5.

b = -1.

Now that we have identified the slope and the y-intercept, we can graph the equation.

When graphing these kinds of equations, always start at the y-intercept.

The y-intercept is -1, so we start from there and move up 5 and right 1 repeatedly.

Remember, slope = rise/run. We rise 5, and we run 1.

5 can also be represented as a fraction: [tex]\frac{5}{1}[/tex]

Let me know if you have any questions.

In a right triangle, one angle is always 90.

If you know one acute angle, you automatically know the other (3rd) angle.

3 angles are solved.

Now, comes the sides.

If you already know 1 side, you can easily know another side by using the basic trig identities SIN, COS, or TAN.

When you know 2 sides, the 3rd side can always be find using:

• pythagorean theorem, or

• again, trigonometric ratios (sin, cos, tan).

Answer

(3/8) × (1/5) = (3/40)

(6/10) × (3/4) = (9/20)

Explanation

We are asked to solve the given expressions

(3/8) × (1/5)

And

(6/10) × (3/4)

For (3/8) × (1/5)

For (6/10) × (3/4)

Hope this Helps!!!

Part A

S(0) = 1116 - 4.04(0) (Replacing h=0)

S(0)= 1116 (Multiplying)

The answer is 1116 ft/s

Part B

S(10) = 1116 - 4.04(10) (Replacing h=10)

S(10) = 1116 - 40.4 (Multiplying)

S(10)= 1075.06

The answer is 1075.06 ft/s

Part C

S(30) = 1116 - 4.04(30) (Replacing h=30)

S(30) = 1116 - 121.1 (Multiplying)

S(30)= 994.9 (Subtracting)

The answer is 994.9 ft/s.

(a) Setting A(w)=458, we get:

Subtracting 800 from the above equation we get:

Dividing the above equation by -18 we get:

Therefore Omar has been saving for 19 weeks.

(b) Recall that to evaluate a function at a given value, we substitute the variable by the given value.

Evaluating A(w) at w=5 we get:

Simplifying the above result we get:

Answer:

(a) 19.

(b) $710.

Answer:

Explanation:

By building a tree diagram we can find the theoretical probability of each number of heads when tossing three coins.

We are given:

Now, we know that in order to determine the critical points we derivate and the derivative is then equal to 0, that is:

Now, we solve for x, that is:

So, the critical points of the function are:

Now, we determine the y-components of the points, that is:

So, the two critical points are:

and:

This can be seing as follows:

Answer:

x = - [tex]\frac{5}{2}[/tex] , x = - [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

6x² + 23x + 20 = 0 ( factorise the left side )

consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 6 × 20 = 120 and sum = 23

the factors are + 8 and + 15

use these factors to split the x- term

6x² + 8x + 15x + 20 = 0 ( factor the first/second and third/fourth terms )

2x(3x + 4) + 5(3x + 4) = 0 ← factor out (3x + 4) from each term

(3x + 4)(2x + 5) = 0

equate each factor to zero and solve for x

2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - [tex]\frac{5}{2}[/tex]

3x + 4 = 0 ⇒ 3x = - 4 ⇒ x = - [tex]\frac{4}{3}[/tex]

The formula to calculate the slope is

A is right

also, the slope can be calculated with rise and run

the correct formula is D.

and also apply E

the answer will be A,D and E

Answer:

902.75 cubic cm.

Explanation:

Given a can with:

• Height, h = 11.5 cm

• Diameter = 10 cm

A can is in the shape of a cylinder; and the volume of a cylinder is calculated using the formula:

First, find the radius by dividing the diameter by 2.

Next, substitute r=5, h=11.5 and π=3.14 into the formula given above:

The volume of the can is 902.75 cubic cm.

The slope-intercept form is:

We have to find these coefficients. To do that we have to choose two points in the graph and apply the following formula. I will use (0,1) and (-1,-1). The formula is:

The formula of the coefficient 'm' is:

Let's substitute the points into the formula above to find the value of m. Then we use one of the points to find the slope-intercept form of the equation:

Applying it to the second equation using the point (0,1):

Answer: The slope-intercept form of the equation will be 2x+1.

The graph as shown in the image is the correct graph of the function.

A function shows a mathematical relationship. We would need to look at the graph very closely so as to know weather or not the graph as it has been shown is the correct graph that is befitting of the function must be a straight line graph.

Clearly, the slope of the graph would be positive and beginning from the origin because the number of tickets that is sold is increasing just and the amount of the tickets is increasing. Thus the graph follows the general equation of a straight line; y = mx + c

All these goes to show that what we have befits the function.

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SOLUTION:

Step 1:

In this quesdtion, we are meant to explain the topic:

Why was Math created?"

Step 2:

The details of the solution are as follows:

1. Mathematics is a body of knowledge and knowledge and practice, that is derived from the contributions of thinkers throughout the ages and across the globe.

2. It gives us a way to understand patterns, to quantify relationships, and to predict the future.

3. Math helps us understand the world — and we use the world to understand math.

4. Excellent for your brain: Creative and analytical skills are highly desired by employers.

5. It has a lot of real-world applications.

6. It helps in better problem-solving skills.

7. Mathematics is needed in almost every career and profession.

8. Mathematics helps understand the world better.

9. Mathematics is a universal language.

10. Numbers help us understand the world, and Mathematics helps us understand numbers.

The real-life applications of Mathematics are endless.

We are surrounded by numbers, equations and algorithms – especially in this age of data science, with huge data sets that can only be understood through statistical models and analysis.

Answer:

Maths was invented to understand the world and to make measurements, do calculations etc. make and measure shapes, measure angles, and to use these things in real life. The Egyptians used the Pythagoras theorem to accurately make their pyramids.

Solution

We are given the function

First, Let us do the simplification or factorization

(a).

The coefficient of x^3 is positive

(b).

So basically, we set f(x) = 0 to get the x - intercepts

The x - intercepts are

The graph of f(x) is also given below

Answer: C

Step-by-step explanation:

3x + 2 > x +8

= 3x + 2 -2 > x + 8 -2

= 3x > x + 6

= 3x - x > x - x + 6

= 2x/2 > 6/2

= x > 3

Answer:

C

Step-by-step explanation:

It is the only one that makes sense.

pls mark brainlest with the crown

The explicit and recursive forms of the arithmetic sequence are f(n) = 2 - 6 · (n - 1) and f(n) = f(n - 1) - 6, f(1) = 2, respectively.

In this problem we need to find the explicit and recursive equations for an arithmetic sequence, whose definitions are described below:

Explicit form

f(n) = a + r · (n - 1)

Recursive form

f(n) = f(n - 1) + r, f(1) = a

Where:

If we know that a = 2, r = - 6, then the explicit and recursive forms of the sequence are:

Explicit form

f(n) = 2 - 6 · (n - 1)

Recursive form

f(n) = f(n - 1) - 6, f(1) = 2

The first four elements of the sequence generated by the formulas are 2, - 4, - 10, - 16.

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Given data:

The given equation of the line is y=-2x+8.

The slope of the given line is -2.

The slope of the line perpendicular to it is,

The standard equation of the line is,

Here, m is the slope of the line.

The second option can be written as,

Thus, option (B) is correct.

Answer:

y = (-1/8)x + (29/4)

Step-by-step explanation:

(10, 6), (2, 7)

(x₁, y₁)  (x₂, y₂)

       y₂ - y₁         7 - 6             1             -1

m = ------------ = ----------- = ----------- = ---------

       x₂ - x₁          2 - 10         -8              8

y - y₁ = m(x - x₁)

y - 6 = (-1/8)(x - 10)

y - 6 = (-1/8)x + (5/4)

   +6                 +6

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

y = (-1/8)x + (29/4)

I hope this helps!

SOLUTION

Now from the question, if the die lands on 6, I win $6. So probability of landing on 6 is

Since I will pay $2 to play, we subtract this from $6 that we will win.

And probability of losing becomes

The table becomes

From the table the expected earnings is calculated as

Hence expected earnings is -$1

The coordinates of a midpoint of a line delimited by two endpoints is:

Where (xm,ym) are the coordinates of the midpoint, (x1,y1) are the coordinates of the first endpoint and (x2,y2) are the coordinates of the second endpoint. We want to find (x2,y2), therefore:

The coordinates of the endpoint two are (7,21).

We are to determine the amount that you have pay back after borrowing a principal amount ( P ) for ( t ) number of years which is compounded annualy at rate ( R ).

You borrowed a principal amount of:

The time duration for which we have borrowed the money for is:

The annual interest rate coumpounded each year is:

Step 1: Determine the simple interest that accumulated at the end of ( t ) years.

The folllowing formula is used to determine the simple interest that the borrower has to pay once the period of borrowing/lending is over i.e ( t ) years.

The simple interest is the proportional rate of interest ( R ) and the initial borrowed/loaned amount called principal amount ( P ).

Use the above simple interest formula ( I ) by plugging in the respective values as follows:

Therefore, the total amount of interest that the borrower must pay as an extra ( over the borrowed amount ) is $27.

Step 2: Determine the total amount that is to be returned/paid to the lender

The total amoun that is to be paid by the borrower ( you ) to the lender is the principal amount borrowed ( P ) and the amount of interest accumulated for the contractual time period i.e ( I ).

Therefore, the amount that you need to pay altogether is:

Solution

For this case we can verify the answer using the point x= 0 if we replace we got:

y=8 cos (pi/40* 0) = 8 cos (0) = 8

y= -8 sin (pi/40 *0)= -8 sin(0) = 0

y= -8cos(pi/40*0)= -8 cos (0)= -8

y= 8 sin (pi/40 *0)= 8 sin(0) = 0

Then the correct option would be:

y= -8cos(pi/40*0)

ANSWER:

The system can only be consistent and independent

STEP-BY-STEP EXPLANATION:

We have to:

• If a system has at least one solution, it is said to be consistent.

• If a consistent system has exactly one solution, it is independent.

• If a consistent system has an infinite number of solutions, it is dependent

• If a system has no solution, it is said to be inconsistent

We know that the system has 2 solutions, and we know that the system is only inconsistent when it has no solution, therefore the correct answer is:

The system can only be consistent and independent

Answer: $79 and percentage is 36%

Let us begin by illustrating the problem using a diagram:

Here we have represented the angle that the driveway makes with the horizontal to be x

Step 1: Label the sides as shown:

Step 2: Using the sides given, find the required angle

The formula that relates the angle, opposite side and hypothenuse side is:

Applying the formula:

Hence, it makes an angle of 7.3 degrees with the horizontal

Explanation:

5x - 4y + 2z = 21 ...equation 1

-x - 5y + 6z = -24 ....equation 2

-x - 4y + 5z = -21 ...equation 3

Using elimination method:

multiply equation 2 by 5:

-5x - 25y + 30z = -120 ....equation 2a

add equation 2a from 1:

5x - 5x -4y -25y + 2z + 30z = 21 - 120

0 - 29y + 32z = -99

-29y + 32z = - 99 ....equation 4

multiply equation 3 by 5:

-5x - 20y + 25z = -105 ...equation 3a

add equation 1 and 3a

5x - 5x - 4y - 20y + 2z +25z = 21 - 105

0 - 24y + 27z = -84

-24y + 27z = -84 ...equation 5

-29y + 32z = - 99 ....equation 4 (×-24)

-24y + 27z = -84 ...equation 5 (×-29)

696y - 768x = 2376 ...(4a)

696y -783x = 2436 ...(5a)

subtract 5a from 4a

696y - 696y -768x -(-783x) = 2376 - 2436

0 - 768x + 783x = -60

15x = -60

x = -60/15

x = -4

substitute for x in equation 4a:

696y - 768(-4) = 2376

696y + 3072 = 2376

696y = 2376 -3072

696y = -696

y = -696/696

y = -1

substitute for y in equation 4:

-29(-1) + 32z = -99

29 + 32z = -99

32z = -99 - 29

32z = -128

z = -128/32

z = -4

we can take two numbers of the sequence and subtract them to see the difference

so

the sequence adds 0.7 each step

the next 3 terms are