Graph the equation y= x/2-3 by plotting points

The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer:

D I think

Hope you have an amazing christmas!

Answer:( 2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .

or

2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .

Step-by-step explanation:

Answer:

P (S∩E)  = 0.1591

Step-by-step explanation:

Let the stockholders be donated by S then the P (s)= 0.43

Let the stockholders having some degree be donated by D then the P (d)= 0.75

Let the American having some college degree be donated by E then the

P (E)= 0.37

As the events are independent their joint probability can be found by multiplying the individual probabilities

P (S∩E)  = P(s) . P (E)= 0.43 * 0.37= 0.1591

Answer:

Step-by-step explanation:

3.6*

It is very easy to find the perimeter of a square when its area is given in the question. For that, you only ned to know one fomula. That formula is: Area = side^2

For this particular question, the given value for the area of the square is 36 sq.cm. So, we can solve for the side(s) by substituting the given value in the above mentioned formula.

We get

36 = s^2

Now, we need to get the square root of both sides, which gives us

s = √36 s = 6 cm

Since all the sides of a square are equal in length, the side length is 6 cm. Now to determine the perimeter, we must multiply the side length by 4 (because there are 4 equal sides in a square). That gives us Perimeter = 4 x side length Perimeter = 4 x 6 cm.

Therefore, the perimeter of the square is 24 cm.

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Answer:

71.25

Step-by-step explanation:

plz press thanks. thank you

The number 842 is the number whose digit 4 is ten times larger than in the number 384

To solve the problem, we need to find a number in which the digit 4 is ten times larger than in the number 384.

In the number 384, the digit 4 is in the ones place, which means that its value is 4.

To find a number in which the digit 4 is ten times larger, we need to find a number in which the digit 4 is in the tens place and its value is 10 times larger than 4, which is 40.

The only answer option that fits this description is 842. In this number, the digit 4 is in the tens place and its value is 40, which is ten times larger than its value in the number 384.

Therefore, the correct answer is 842.

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Answer:

61%

Step-by-step explanation:

16/26 x 100 = 61.538461

You have to round it up if the question tells you to round it up.

hope it helps! :)

Answer:

62%

Step-by-step explanation:

42 x 62% = 26.04

I am sorry if you get this wrong. I really hope this helps.

Answer:

2x

Step-by-step explanation:

Factor both terms given to simplest terms:

8x = 2 * 2 * 2 * x

22xy = 2 * 11 * x * y

Note that in each case, there is the factor of 2 & x that is shared by both. These are what is used to find the Greatest Common Factor. Multiply both terms together:

2 * x = 2x

2x is your GCF.

~

First find the greatest common factor of 8 and 22.

To find the greatest common factor of 8,

begin by dividing 8 by all the numbers you can.

8 ÷ 1 = 8

8 ÷ 2 = 4

Notice that I stopped here because if I continued

dividing, I would be dividing 8 by 4 which is 2.

Make sure to stop dividing when you see numbers repeat.

So the factors of 8 are 1, 2, 4, and 8.

Now do the same thing for 22.

22 ÷ 1 = 22

22 ÷ 11 = 2

So the factors of 22 are 1, 2, 11, and 22.

Now look for the largest number shared by the two lists.

In this case, the largest number is 2.

Now let's move to the variables.

To qualify for the Greatest Common Factor,

the variable must appear in every monomial.

Since the y doesn't appear in every monomial, it doesn't qualify.

However, notice that the x does appear in every monomial.

If the variable does appear in every monomial, the Greatest

Common Factor will use the smallest power on that variable.

Since the smallest power for x in both monomials is x, we use x.

So our greatest common factor is 2x.

Answer:

50% of 320 is equal to 80% of 200

Step-by-step explanation:

\(\sf{50\% \times 320}\)

\(\sf{ = \frac{50}{100} \times 320 }\)

\(\sf{ = \frac{16000}{100} }\)

\( = \sf{160}\)

-

\(\sf{160 \div 80\%}\)

\(\sf{ = 160 \div \frac{80}{100} }\)

\(\sf{ =\cancel{ 160} \times \frac{100}{\cancel{80}} }\)

\(\sf{ = 2 \times 100}\)

\( = \boxed{\sf{\underline{\purple{200}}}}\)

Answer:

50% of 320 is equal to 80% of 200.

Step-by-step explanation:

Given,

50% of 320 is equal to 80% of a number (let it be x)

Now,

50% of 320

= 50% × 320

= 50/100 × 320

= 50/10 × 32

= 5 × 32

= 160

Also now,

160 is equal to 80% of x.

80% of x = 160

80% × x = 160

80/100 × x = 160

8/10 × x = 160

4/5 × x = 160

4/5x = 160

x = 160 ÷ 4/5

x = 160 × 5/4

x = 40 × 5

x = 200

Answer:

4/9 or 44%

Step-by-step explanation:

4 + 5 = 9

Probability: 4/9 or 44%

Answer:

  D C E A B

Step-by-step explanation:

The attachment shows the construction. Seeing this, it is a matter of logic. A point can't be placed until there is something to place it on. An arc can't be drawn until there is a center for it. The sequence must be ...

Answer:

(1.5, 0.5)

Step-by-step explanation:

(5, 3) and (-2, -2)

5 - 2 / 2 = 1.5

-2 + 3 / 2 = 0.5

Answer:

B C F

Step-by-step explanation:

If you reduce those answer and try to find the square roots, the decimals are terminating and never ending, while the others are perfect squares.

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer:

Step-by-step explanation:

AR⊥RS (tangent line is ⊥ to radius of the circle)

BS ⊥ RS (tangent line is ⊥ to radius of the circle.)

∴ AR and BS ⊥ to same line RS.

Hence either AR and BS are in same line  or parallel.

But they are radii of different circles.

∴ AR ║BS

The other dude is right, there is no point putting the same answer.

II) 80 units

Solving the II question:

1) Considering that the maximum profit is obtained by

P(x) = R(x) - C(x) Plugging into that those functions:

P(x) = 20x -0.1x²-(4x+2)

P(x) = 20x - 0.1x² -4x -2 Rewriting it

P(x)= -0.1x² +16x -2

2) The number of units that must be sold is the x-coordinate of the Vertex of that parabola since the Y-axis is the Profit P(x) and this is found by the following formula:

By the way, the Maximum profit (Question I), (Maximum point), on the other hand, is the Y-vertex:

As we can see here:

3) Hence, the answer is 80 units that yield a maximum profit of $638

The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

In 15 years the investment will be worth $586.99.

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

It is the result of reinvesting interest, or adding it to the loaned capital, rather than paying it out or requiring payment from the borrower, so that interest is earned on the principal sum plus previously accumulated interest in the following period.

In finance and economics, compound interest is the norm.

To find how much will the investment be worth in 20 years:

Given -

Initial investment = $300.

Interest rate = 4.5%.

Interest applied = quarterly.

So, the table of 15 years will be as follows:

using the formula we get,

Therefore, in 15 years the investment will be worth $586.99

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The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

tan x

Step-by-step explanation:

The given function y is a quotient, so we must apply the quotient rule first.  Recall that (d/dx)cos x = -sin x and that (d/dx)sin x = cos x.

Then the derivative of the given quotient is:

              (sin x)[0 - (-sin x)]               [sin x]^2

dy/dx = ---------------------------       =  ----------------- = 1

                     [sin x]^2                       [sin x]^2

Answer:

Step-by-step explanation:

its will be 80 i beleive because 8x10 equals 80 and

The only length that is equal to 6 feet 12 inches is 7 ft.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.

6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.

3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.

7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.

7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.

2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.

1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.

Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.

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Given equation,

To find: Factorize the given equation.

Solution:

Split the middle term into 5 and 3.

Hence, the factor of the given equation is (3x+5) and (x+1)

The programming code that gives instructions to other parts of the computer.

Computer programming code is typical referral source code. Source code is a set of instructions written using a computer programming language that tells a computer what to do.

It is written in a language that a computer can understand, and is usually written in a text file. Source code is the foundation of all computer programming and software development, and it is the basis for creating applications, programs, and websites. Source code is written in a language such as C++, Java, or Python and is compiled and then translated into machine language that the computer can understand and execute.

The source code is then tested and debugged to ensure that it works correctly. Source code is an essential part of software development and is the foundation for successful software projects.

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The measure of RST and RSU are 39.43 and 13.52 respectively

Given the following parameters

RST is (12x-1)

RSU is (9x-15)

UST = 53 degrees

According to the addition rule;

RSU + UST = RST

Substitute the given parameters

12x -1 + 9x - 15 =. 53

21x - 16 = 53

21x =69

x = 69/21

x = 3.28

RST =12(3.28) - 1

RST = 39.43

For the measure of RSU

RSU = 9x - 15

RSU =9(3.28) - 15

RSU = 13.52

Hence the measure of RST and RSU are 39.43 and 13.52 respectively

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Answer:

n = 14

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of the two remote interior angles.

12n - 8 = 8n - 4 + 52

4n = 56

n = 14