. Suppose x is inversely proportional to y. if x is tripled, what happens to y?

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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Given:

The area of this inscribing circle is 36π cm².

The area of a square is a product of it's any two sides or a product of diagonals divided by two. If side has a length a then diagonal is a√2.

The perimeter of a square is the sum of the lengths of all the sides.

We know area of a square is side².

Given, The area of this square is 144 cm².

We know 12×12 is 144.

Therefore, The length of the sides of this square is 12 cm.

We know a circle inscribed in a square has a diameter that is equal to the side of a square.

Therefore, The diameter of this circle is 12 and hence radius is 12/2 = 6 cm.

We also know that the area of a circle is πr².

Therefore, The area of this circle is π(6)² cm².

= 36π cm².

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The value of x is 1.51.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

\(5^x\) - 4 = 7

\(5^x\) = 7 + 4

\(5^x\) = 11

Taking logs on both sides.

log \(5^x\) = log 11

x log 5 = log 11

x = log 11 / log 5

x = 1.04/0.69

x = 1.51

Thus,

x is 1.51.

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The sides of a regular polygon with a known interior angles can be found as follows:

Interior Angle = (n−2) × 180° / n

A regular polygon is a polygon that have equal sides and equal angles.

A regular polygon has the following angles:

According to the question, the interior angles are given. To know the number of sides of polygon can be calculated as follows:

Note the interior and the exterior angles add up to 180 degrees.

Therefore,

Interior Angle = 180° − Exterior Angle

Exterior angle = 360°/n

Interior Angle = 180° − 360°/n

n = number of sides

Finally,

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The applied overhead cost for job 201 is $36,000 and total cost for job 201 under direct materials cost as allocation base is $86,000.

Allocation base is a technique utilized in accounting to designate the cost of something to its use or product to recognize the price of the finished product.

Example provides the total overhead cost at $120,000 for the period, the base data of $100,000 direct material cost and 500 direct labor hours. The base data are used to calculate the predetermined factory overhead rate, which is used to apply overhead costs to work in progress.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the base data. The predetermined factory overhead rate is multiplied by the actual activity in the allocation base to obtain the applied overhead cost.

Direct materials cost as allocation base $30,000 is the actual direct material cost used in job 201. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct material cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $30,000*120% = $36,000.

Total cost for job 201 under direct materials cost as allocation base is $30,000+$20,000+$36,000 = $86,000.

-Direct labor cost as allocation base:

The actual direct labor cost used in job 201 is $20,000. The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor cost, which is $120,000/$100,000=120%.

The applied overhead cost for job 201 is $20,000*120% = $24,000.

Total cost for job 201 under direct labor cost as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Direct labor hours as allocation base:

The actual direct labor hours used in job 201 is 400 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the direct labor hours, which is $120,000/500 hours = $240 per hour.The applied overhead cost for job 201 is $240*400 hours = $96,000.

Total cost for job 201 under direct labor hours as allocation base is $30,000+$20,000+$96,000 = $146,000.

-Physical output as allocation base: The actual output in units completed for job 201 is 2,000 shirts.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the output in units, which is $120,000/10,000 units = $12 per unit.

The applied overhead cost for job 201 is $12*2,000 units = $24,000.Total cost for job 201 under physical output as allocation base is $30,000+$20,000+$24,000 = $74,000.

-Machine hours as allocation base: The actual machine hours used in job 201 is 240 hours.

The predetermined factory overhead rate is calculated by dividing the total overhead cost for the period by the machine hours, which is $120,000/5,000 hours = $24 per hour.

The applied overhead cost for job 201 is $24*240 hours = $5,760.

Total cost for job 201 under machine hours as allocation base is $30,000+$20,000+$5,760 = $55,760.

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The first mechanic worked for 5 hours and the second mechanic worked for 15 hours.

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

Two mechanics worked on a car.

The first mechanic charged $55 per hour,

and the second mechanic charged $65 per hour.

The mechanics worked for a combined total of 20 hours,

and together they charged a total of $1250.

Let x be the number of working hours of the First mechanic and y be the

number of working hours of the second mechanic.

So

x + y = 20  {equation 1}

55x + 65y = 1250 {equation 2}

Substituting the value of y from the equation 1 to the equation 2,

55x + 65(20 - x) = 1250

55x + 1300 - 65x = 1250

-10x = -50

x = 5

And y = 15

Therefore, x = 5 and y = 15.

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Answer:

B. n + 9

Step-by-step explanation:

Given:

n² + 3n - 54

Let's factorize

n² + 9n - 6n - 54

n(n + 9) -6(n + 9)

(n - 6)(n + 9)

Therefore, out if the options given, n + 9 is the expression of the factor of n² + 3n - 54.

Answer:

yes it does represent a function.  

Step-by-step explanation:

Answer:This would be option letter C

Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N

Answer:

D

Step-by-step explanation:

f(x)= -x^2+4

Draw graph of -x^2 and shift it 4 units above

The complementary angle is x= 36 degrees.

When two rays are linked at their ends, they create an angle in geometry. The sides or arms of the angle are what are known as these rays.

When two lines meet at a point, an angle is created.

An "angle" is the measurement of the "opening" between these two rays. It is symbolized by the character. The circularity or rotation of an angle is often measured in degrees and radians.

Angles are a common occurrence in daily life.

Angles are used by engineers and architects to create highways, structures, and sports venues.

According to our question-

The complementary angle is x

Complementary angles total to a straight angle (90 degrees) (90 degrees).

x + (2/3)x = 90

(3/3)x + (2/3)x = 90

(5/3)x = 90

x = 90(3/5)

x = 54 degrees

The angle is 2/3 of this

The angle is (2/3)54 = 36 degrees

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Hope this helps!

C. October 15

Answer:

y=-1/6x-3

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/6(x-(-6))

y+2=-1/6(x+6)

y=-1/6x-6/6-2

y=-1/6x-1-2

y=-1/6x-3

Answer:

5.60 pounds each

Step-by-step explanation:

This is the dry mixture problem.

Let x = the number of pounds of the first type of candy

Therefore, number of pounds of second type of candy = 10-x

Value of first candy + value of second candy = value of mixture

Value of any candy = cost per pound of candy * weight of candy

Thus:

4x + 6(10 - x) = 5.60(10)

4x + 60 - 6x = 56

-2x + 60 = 56

-2x = -4

x = -4/-2

x = 2

Therefore, the number of pounds of first type of candy = 2 pounds

The number of pounds of second type of candy = 10 - 2 = 8 pounds

Check

$4(2) + $6(8) =

           8 + 48 = $5.60(10)

               $56 = $56

Answer:

0

Step-by-step explanation:

By the remainder theorem, this is the same as finding f(-1/2), which is equal to 0.

Option d is correct

y=β0+β1x1+β2x2+β3x3+........+βkxk+ε

Where y is the "independent" variable and 0 to k are the "regression" coefficients. In a "multiple linear regression" model, the "independent" variables are x1, x2, x3,..., xk, and the "residual" or "error" term is.

The "residual" for the regression model is calculated using the following formula.

Residual=y-ŷ

Where y is the "independent variable's" "actual" value and is the "independent variable's" "predicted" value.

The "difference" between the "actual" value of the "dependent" variables and the corresponding "predicted" value when employing the "multiple regression" model is referred to as the "residual" in the "residual" formula.

A statistical technique for evaluating the relevance of a "multiple regression" model is the "F test." Linear models are A linear model is a statistic that explains the “relationship” between “response” and “predictor” variables. Using the “multiple regression” model, the “predicted” value of the “response” variable is denoted by ŷ.

hence option 4 is correct

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I understand you mean:

What is a residual for a multiple regression model and the data that is used to create it? Select one:

1.A statistic that is used to evaluate the significance of the multiple regression model

2.A statistic that explains the relationship between response and predictor variables

3.The predicted value of the response variable using the multiple regression model

4.The difference between the actual value of the response variable and the corresponding predicted value (regression error) using the multiple regression model

The correlation coefficient of the health research institute data measures the relationship between the age and the years of the smokers

The correlation coefficient is 0.53

The correlation coefficient (r) is calculated as:

\(r = \frac{n(\sum xy) - \sum x \sum y}{\sqrt{[n \sum x^2 - (\sum x)^2][n\sum y^2 - (\sum y)^2}}\)

Using the given parameters, we have:

\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1257^2][20 * 836 - 116^2}}\)

Evaluate the exponents

\(r = \frac{20 *8249 - 1257* 116}{\sqrt{[20 * 98823 - 1580049][20 * 836 - 13456}}\)

Evaluate the products

\(r = \frac{164980 - 145812}{\sqrt{[1976460 - 1580049][16720 - 13456}}\)

Evaluate the differences

\(r = \frac{19168}{\sqrt{[396411*3264}}\)

Evaluate the product

\(r = \frac{19168}{\sqrt{1293885504}}\)

Evaluate the root

\(r = \frac{19168}{35970.6}\)

Evaluate the quotient

\(r = 0.53\)

Hence, the correlation coefficient is 0.53

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The graph of g(x) is obtained from the graph of f(x) by the following transformations:

- A horizontal stretch by a factor of 9. This is because the graph of g(x) is 9 times wider than the graph of f(x).

- A vertical translation down by 2 units. This is because the graph of g(x) is 2 units lower than the graph of f(x).

In other words, to obtain the graph of g(x) from the graph of f(x), we stretch the graph horizontally by a factor of 9 and then translate it down by 2 units.

Here is a more detailed explanation of the transformations:

- Horizontal stretch by a factor of 9: To stretch the graph horizontally by a factor of 9, we multiply all of the x-coordinates by 9. This means that every point on the graph of f(x) will be moved 9 units to the right on the graph of g(x).

- Vertical translation down by 2 units: To translate the graph down by 2 units, we subtract 2 from all of the y-coordinates. This means that every point on the graph of f(x) will be moved 2 units down on the graph of g(x).

Step-by-step explanation:

→ 4 + 5(3x - 2) - 3x

→ 4 + 15x - 10 - 3x

→ 12x - 6

therefore, option A is correct.

hope this answer helps you dear!

The required simplified solution of the given expression is 12x -6. Option A is correct.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= 4 + 5(3x -2) - 3x
Following the distributive property,
= 4 + 15x - 10 - 3x
Following the associative property,
= 4 - 10 + 15x - 3x
= -6 + 12x
= 12x - 6

Thus, the required simplified solution of the given expression is 12x -6. Option A is correct.

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Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

Answer:

y = - 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 , then

y = - 5x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = - 5x - 4 ← equation of line

The expected value of the random variable D is 6.. This gives us the following equation :E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6)

The expected value of the random variable D, E[D], can be calculated using the following formula :E[D] = ΣD P(D) Where ΣD is the sum of all possible values of D and P(D) is the probability of each of those values. In this case, the possible values of D are 0, 1, 2, 3, 4, 5. The probability of each of these values is the same, since each has an equal chance of being rolled on the dice. To calculate the expected value, we must multiply each value of D with its probability, and then sum all of these products. This gives us the following equation:E[D] = 0(1/6) + 1(1/6) + 2(1/6) + 3(1/6) + 4(1/6) + 5(1/6) .E[D] = 36/6 = 6.Therefore, the expected value of the random variable D is 6.

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Through my trials and tribulations I have decided that the answer is.

Y E S

Convert 27% to the equivalent decimal 0.27. Multiply 16 by 0.27 to get 4.32. Use estimation to check the answer by choosing the friendly percent 25%. 25% of 16 is equal to 16 ÷ 4 = 4. The answer is reasonable.

4.32

Answer:

540 in³

Step-by-step explanation:

v = lwh

v = 18 * 10 * 3

c = 540 in³

Answer:

v= length x width x height so 10x18x3= 540in cubed

Step-by-step explanation:

The mistake is in second step

The correct option is option C)

What is linear equation in one variable?

An linear equation in one variable has only one variable and constant presents and degree of variable is one. To solve such equation we separate the variables and constants one side respectively

We are given an equation,

8p+5 = 10p-4

Now we separate the variable and constant

5+4 = 10p-8p

9= 2p

p =9/2

Where as in the given step 2 rather than subtracting they are adding the variable term. which leads to the mistake

Hence,

The mistake is in second step

The correct option is option C)

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Answer:

the answer is 24.23 $ thats what i got

Answer:

A. 2.11 and  B. 26.39+2.11=28.50

Step-by-step eplanation: