If P M L ~ T R Q; find QR

The value of the fraction is given by the equation A = (x - 6) / (x + 2) (3x - 2)

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the equation will be

A = [ 1 / ( x + 2 ) ] - [ 2/ ( 3x - 2 ) ]

On simplifying the equation , we get

Finding the common denominator and LCM , we get

A = [ ( 3x - 2 ) - 2 ( x + 2 ) ] / (x + 2) (3x - 2)

On further simplification , we get

A = ( 3x - 2 - 2x - 4 ) / (x + 2) (3x - 2)

A = ( x - 6 ) / (x + 2) (3x - 2)

Hence , the fraction is A = ( x - 6 ) / (x + 2) (3x - 2)

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The amount that Roxana has left is $7560.

Total Amount = $12000

She spent 12% on meat and 25% on vegetables.

Therefore, the amount left will be:

= (100 - 12% - 25%) × 12000

= 63% × 12000

= 63/100 × 12000

= 0.63 × 12000

= $7560

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It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

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Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

Answer:

$4.76

Step-by-step explanation:

It costs $2.80 to make a sandwich at the local deli shop and the deli sells it at a price that is 170% of the cost.

We have to find 170% of the cost of making each sandwich ($2.80):

170/100 * 2.80 = $4.76

The sandwich sells for $4.76

Answer:

ben

Step-by-step explanation:

Answer:

I am guessing C

Step-by-step explanation:

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

The required amount that Ethan have to pay is $32.

A sales discount is a marked down cost presented by a business on an item or administration. Figure out how to remember limits for solicitations. A deals rebate, likewise usually known as only a 'markdown' furnishes clients of a business with a diminished rate on at least one of the items or administrations being advertised.

We have,

Selling price = $39.99

Discount = 20%

20% of $39.99 = 20×$39.99/100

⇒ $7.99

So the payable amount for video game = $39.99 - $7.99

⇒ $32

Thus, required price is $32.

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In order to find the value of z, proceed as follow:

By using the Pythagorean theorem for the bigger triangle, you obtain:

Now, if you consider the second bigger triangle:

And in the smaller triangle:

Next, replace the second equation for y^2 into the previous one:

Now, replace the previous expression for x^2 into the first equation for z^2 and simplify:

Hence, the value of z is 2√22

To determine if two shapes are similar, we need to consider two conditions: proportional corresponding sides and equal corresponding angles.

Proportional corresponding sides: For two shapes to be similar, the lengths of their corresponding sides must be proportional. This means that if we take the ratio of the length of one side of the first shape to the length of the corresponding side of the second shape, it should be equal to the ratio of any other pair of corresponding sides.

For example, if the ratio of the lengths of the corresponding sides AB: DE is equal to the ratio of the lengths of the corresponding sides BC: EF, then the shapes are similar.

Equal corresponding angles: In addition to proportional corresponding sides, the corresponding angles of the two shapes must also be equal. This means that if we measure the angles of one shape and their corresponding angles in the other shape, they should have the same measures.

For example, if angle A in the first shape is equal to angle D in the second shape, and angle B is equal to angle E, then the shapes are similar.

For two shapes to be similar, both the corresponding sides must be proportional and the corresponding angles must be equal.

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We can use the following formula to solve the exercise.

Then, we have:

We replace the know values in the formula.

The car travels 266 miles in 4 hours and 45minutes.

Answer:

B

Step-by-step explanation:

The product of three consecutive odd numbers is an odd number.

An odd number is a number that is not divisible by 2, therefore also can not be divided exactly into pairs. Numbers that are deemed odd number end with the number 1, 3, 5, 7, or 9. When divided by 2, odd numbers leave a remainder of 1.

When three consecutive odd numbers are multiplied, the end product would be another odd number. For example:

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Answer:

  the graph of f has 3 turning points

Step-by-step explanation:

The graph of a function has a turning point (local extreme) where the derivative is zero and changes sign.

The derivative of a function tells you the slope of that function's graph. When the derivative is positive, the function is increasing. When the derivative is negative, the function is decreasing.

Where the derivative changes sign from positive to negative, the graph of the function changes direction from increasing to decreasing. At the point where the derivative is zero (between positive and negative), the graph is neither increasing nor decreasing. A tangent to the function at that point is a horizontal line, and the function itself is at a local maximum, a turning point.

The reverse is also true. When the derivative changes sign from negative to positive, the function changes from decreasing to increasing. The turning point where that occurs is a local minimum.

If the derivative crosses the x-axis (changes sign) 3 times, then there are three local extremes in the graph of f. The graph of f has 3 turning points.

__

Additional comment

In the attached graph, we have constructed a derivative function (red) that crosses the x-axis 3 times. It is the derivative of f(x), which is shown in blue. The purpose is to show the local extremes of f(x) match the zero crossings of the derivative.

When the radius is 10 inches and the height is 20 inches

(a) rate change of the volume of the cylinder is 5340.7 inch²/min.

(b) rate of change of the surface area of the cylinder is 1068.14 inch²/min.

Volume and surface area of the closed cylinder both increase with time.

Let r be the Radius and h be the height of the cylinder in inches at time t.

\(\frac{dr}{dt} =5\) inch/min and \(\frac{dh}{dt} =-3\) inch/min

Let V be the volume of the cylinder then

Differentiating with respect to t,

\(\frac{dV}{dt} =2\pi r(\frac{dr}{dt} )h+\pi r^{2} \frac{dh}{dt}\)

At r=10 inch and h=20 inch,

\(\frac{dV}{dt} =1700\pi =\) 5340.7 inch²/min ≈ 5000 inch²/min

Thus, it is increasing with time as it has a positive sign.

Let S be the surface area of a closed cylinder

\(\frac{dS}{dt} =2\pi r(\frac{dr}{dt} )h+2\pi r(\frac{dr}{dt} )+4\pi (\frac{dr}{dt} )r\)

At r=20 inch and h=20 inch

\(\frac{dS}{dt} =340\pi =\) 1068.14 inch²/min ≈ 1000 inch²/min

It is also increasing with time as it is also having a positive sign.

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Answer:

5/6

Step-by-step explanation:

Perpendicular lines just have the opposite slope.

Answer:

The value of a is 25

Step-by-step explanation:

When two angles are supplementary, they add up to 180 degrees

Mathematically,

(30 + 2a) + (125-a) = 180

30 + 2a + 125 - a = 180

a + 155 = 180

a = 180-155

a = 25 degrees

Answer:

16,22,28,34,40

Step-by-step explanation:

Answer:

Step-by-step explanation:

m

Answer:

535.44 cm squared

Step-by-step explanation:

Constant c is found by integrating f(x) over its range and setting it equal to 1/(6/θ + 25/2). Moment estimator for e is E(X).

To find the value of the constant c, we need to use the fact that the total area under the probability density function f(x) is equal to 1. So we have

∫(-1/θ, 5/θ) c(1+θx) dx = 1

Integrating with respect to x, we get

[cx + (θ/2) x^2] | (-1/θ, 5/θ) = 1

Plugging in the limits of integration, we get

[c(5/θ - (-1/θ)) + (θ/2)(5/θ)^2 - (θ/2)(-1/θ)^2] = 1

Simplifying, we get

c(6/θ) + (25/2) = 1

Solving for c, we get

c = 1/(6/θ + 25/2)

The moment estimator for e is the sample mean of e raised to a certain power. In this case, we want to find the moment estimator for e, so we need to find the first moment of e. We have

E(X) = ∫(-1/θ, 5/θ) x f(x) dx

Plugging in the expression for f(x), we get

E(X) = ∫(-1/θ, 5/θ) x c(1+θx) dx

Integrating with respect to x, we get

E(X) = [c/2 x^2 + (cθ/3) x^3] | (-1/θ, 5/θ)

Plugging in the limits of integration and simplifying, we get

E(X) = (55c/6)θ

So the moment estimator for e is

e^ = (1/n) ∑(i=1 to n) Xi

where Xi are the observed values of X.

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--The given question is incomplete, the complete question is given

" Consider the probability density function f (x)=c(1+θx), -15x51 (a) Find the value of the constant c. (b) What is the moment estimator for e?"--

The least possible number of coins in the treasure chest Jack found is 29.

In Mathematics, the Lowest Common Multiple (LCM) of any two or more natural numbers is the number that is the lowest of their common multiples.

For a minute put 1 coin aside from the collection.

Then, the number of remaining coins is a multiple of both 4 and 7.

So, the smallest such an integer number of coins

= 7 x 4

= 28.

Now, return 1 coins back.

= 28 + 1

= 29 coins.

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To determine if there's an interaction effect between diet and a home yoga program on change in weight, the most appropriate analysis would be a 2-Way ANOVA.

Here's a step-by-step explanation:
You have two independent variables: diet and home yoga program. Since you want to examine the interaction effect between these two variables, a 2-Way ANOVA is suitable, as it allows you to analyze the main effects of each independent variable and their interaction effect on the dependent variable (change in weight).
Collect data on participants' diet, home yoga program participation, and changes in weight.
Set up a 2-Way ANOVA model with diet and home yoga program as the independent variables and change in weight as the dependent variable.
Run the 2-Way ANOVA analysis to obtain the main effects of diet, the main effects of the home yoga program, and the interaction effect between diet and home yoga program on change in weight.
Analyze the results: If the interaction effect is significant, it suggests that the combination of diet and home yoga program has a unique impact on change in weight that is different from the individual effects of diet and home yoga program alone.

Remember, a 1-Way ANOVA is used when you have only one independent variable, an Independent T-Test compares the means of two independent groups, and a 3-Way ANOVA is used when you have three independent variables. In this case, since you have two independent variables (diet and home yoga program) and you're interested in their interaction effect, a 2-Way ANOVA is the most appropriate analysis.

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Answer:

(4,3)

Step-by-step explanation:

moving down 1 unit makes the point (-2,3)

moving 6 units to the right makes the point(4,3)

Answer:

c = 3

Step-by-step explanation:

Hope it helps and have a great night! =D

~shining stars~

The value of 'c' in the 32^{2c} = 8^{c+7}\(32^{2c} = 8^{c+7}\) is, 3.

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression \(32^{2c} = 8^{c+7}\).

Now, To equate the exponents we have to change the bases to the same value.

Therefore, \(32^{2c} = 8^{c+7}\) ⇒ \((2^5)^{2c} = (2^3)^{c+7}\).

5(2c) = 3(c + 7).

10c = 3c + 21.

7c = 21.

c = 3.

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The number of outcomes in the complement of the event is 163

The statement is given as:

Out of 301 apartments in a complex, 138 are available for rental.

This means that

Apartments = 301

Rental = 138

The complement is calculated as:

Complement = Apartment - Rental

So, we have

Complement = 301 - 138

Evaluate

Complement = 163

Hence, the number of outcomes in the complement of the event is 163

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To find the percentage, we can use the following formula:

Percentage = (Part / Whole) * 100

So, $131,701.32 is approximately 16.67% of $790,207.91.

In this case, the part is $131,701.32 and the whole is $790,207.91.

Percentage = ($131,701.32 / $790,207.91) * 100

Calculating the value:

Percentage ≈ 0.1667 * 100

Percentage ≈ 16.67%

Therefore, $131,701.32 is approximately 16.67% of $790,207.91.

Alternatively, we can calculate the percentage by dividing the part by the whole and multiplying by 100:

Percentage = ($131,701.32 / $790,207.91) * 100 ≈ 0.1667 * 100 ≈ 16.67%

So, $131,701.32 is approximately 16.67% of $790,207.91.

If you have any further questions, feel free to ask!

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a) The value of the annuity is $19699.84.

b) The interest is -$12,500

From the question above:Periodic deposit = $90

Rate = 5.5% compounded semiannually

Time = 40 years

We have to find the value of the annuity and the interest earned.

To solve the problem, we will use the formula for annuity:

PV = (PMT/i) x (1 - (1/(1+i)n))

where

PV = present value

PMT = periodic payment

i = interest rate per period

n = number of periods

Let's begin with finding the value of the annuity.

PMT = $90i = 5.5%/2 = 2.75% (as interest rate is compounded semiannually)

n = 40 x 2 = 80

Putting these values in the formula, we get

PV = (90/0.0275) x (1 - (1/(1.0275)80))= 19699.84

Now, let's calculate the interest earned.

To find the interest, we can subtract the total amount paid (which is equal to the value of the annuity) from the total amount deposited, which is:

PMT x n = $90 x 80 = $7200

Total interest earned = Total amount deposited - Value of the annuity= $7200 - $19699.84= -$12499.84 (negative value means we paid more than we earned)

Therefore, the interest is -$12499.84 or -$12,500 (rounded to the nearest dollar).

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