What is the greatest common factor of -18x4y - 9xy3 + 3xy2? a. 3x4y3 b. 3xy c. xy d. 3xy2

First, we need to standardize the random variable X, which has a normal distribution with mean μ = 44 and standard deviation σ = 9. The 13th percentile of the normally distributed random variable is approximately 33.36.

The μ = 44 and standard deviation σ = 9. Standardizing a random variable involves subtracting the mean and dividing by the standard deviation.

Let Z be the standardized random variable, defined as Z = (X - μ) / σ. In this case, Z follows a standard normal distribution with a mean of 0 and a standard deviation of 1.

To find the 13th percentile, we want to find the value z such that the cumulative distribution function (CDF) of the standard normal distribution, denoted as Φ(z), is equal to 0.13. Mathematically, we have Φ(z) = 0.13.

Using a standard normal distribution table or a statistical calculator, we can find the value of z that corresponds to a cumulative probability of 0.13.

The 13th percentile corresponds to a z-score of approximately -1.04 (rounded to two decimal places).

Finally, we can convert this z-score back to the original scale by using the formula X = μ + σ * Z. Plugging in the values, we have X = 44 + 9 * (-1.04) = 33.36.

Therefore, the 13th percentile of the normally distributed random variable X with mean μ = 44 and standard deviation σ = 9 is approximately 33.36.

Know more about  z-score here:

https://brainly.com/question/31871890

#SPJ11

The relation displayed in the table is

The relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table

For instance, say (b, c) is represented in a table as

x    y

a    b

Using this instance and writing out the values in the table we have

(3, 3), (-1, 1), (2, -2), and (-3, 2)

This is similar to option B making option B the appropriate option

Learn more about ordered pair at

https://brainly.com/question/11139505

#SPJ1

The amount credited from the partial payment made during the discount period is $1,470. The balance on the invoice after the partial payment was made is $1,530.

The payment terms "4/10n/45" indicate that a 4% discount is applicable if the payment is made within 10 days, and the full amount is due within 45 days. Marcus made a partial payment of $1,500 during the discount period.

To calculate the amount credited, we first determine the discount amount by multiplying the invoice amount ($3,000) by the discount percentage (4%). This gives us a discount of $120. Since Marcus made a partial payment of $1,500, we subtract the discount amount from the partial payment to find the credited amount. Therefore, $1,500 - $120 = $1,380. Rounded to the nearest cent, the amount credited is $1,380.

To calculate the balance on the invoice after the partial payment was made, we subtract the credited amount from the remaining balance. The remaining balance is the invoice amount ($3,000) minus the partial payment ($1,500), which equals $1,500. Subtracting the credited amount of $1,380 from this balance, we get $1,500 - $1,380 = $120. Rounded to the nearest cent, the balance on the invoice after the partial payment is $120.

In summary, the amount credited from the partial payment made during the discount period is $1,380, and the balance on the invoice after the partial payment was made is $120.

Lern more about amount here:

https://brainly.com/question/8082054

#SPJ11

Answer:

1300

Step-by-step explanation:

Emma invested $540 in an account paying an interest rate of 7\tfrac{3}{4}7 4 3 ​ % compounded monthly. Cameron invested $540 in an account paying an interest rate of 7\tfrac{3}{8}7 8 3 ​ % compounded continuously. To the nearest dollar, how much money would Emma have in her account when Cameron's money has tripled in value?

The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

Know more about mean here:

https://brainly.com/question/29141288

#SPJ11

The surface area of the triangular prism is 924 cm².

What is the triangular prism?

When a prism has three rectangular sides and two triangular bases, the prism is said to be triangular. A pentahedron, that is.

Volume is calculated using the formula volume = 0.5 * b * h * length, where b is the triangle's base length, h is its height, and length is the prism length.

                                         Area is defined as length * (a + b + c) + (2 * base area), where a, b, and c are the triangle's sides and base area is the triangle's base area.

The surface area is equal to the area of the two triangles + area of the three rectangles.

Area of two triangles:

12 × (9+5) × 1/2

= 84

84(2) = 168

Area of the three rectangles:

15 × 20 + 13 × 20 + 14 × 20

= 840

840 + 84

The surface area of the triangular prism is 924 cm².

Learn more about triangular prism

brainly.com/question/24046619

#SPJ4

Answer:

  22.5°

Step-by-step explanation:

The exterior angle at B is 360°/8 = 45°. The congruent interior angles of the triangle at A and C total this amount. The angle BAC is 45°/2 = 22.5°.

Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

The Extra Credit Inclusion/Exclusion formula is used to calculate the probability of an event that includes one or more items. In this formula, the probability of each individual item is subtracted from the probability of all items together.

The total number of possible arrangements is 8!. If we consider one of the couples, then there are 2! ways to arrange that couple. There are 4 couples so there are 4 * 2! ways to arrange the couples. So, the total number of arrangements in which no couple sits together is 8! - 4 * 2! * 7! = 24 * 7!

Then, the probability that no couple sits together is: P = (24 * 7!) / 8! = 24 / 2^3 = 3 / 4Therefore, the probability that no husband sits next to his wife is 3/4.

Know more about probability:

https://brainly.com/question/31828911

#SPJ11

Answer:

Step-by-step explanation:

In rectangle , diagonals are equal and bisect each other.

FI = EI

6x - 5 = 2x + 7  {subtract 2x from both side}

6x - 2x -5 = 7

       4x - 5 = 7     {Add 5 to both sides}

           4x  = 7 +5

           4x = 12 {Divide bot sides by 4}

            x = 12/4

x = 3

EI = 2x + 7 = 2*3 +7 = 6 +7

EI = 13 units

EG = 2 *EI = 13 * 2

EG = 26 units

ΔFIG is an isosceles triangle.

∠IGF = ∠IFG = x

x +  x + 120 = 180  {Angle sum property}

2x + 120 = 180 {Subtract 120 form both sides}

       2x   = 180 - 120

       2x = 60

         x = 60/2

         x = 30

∠IGF = ∠IFG = 30

EH // FG   and FH is transversal.

∠IHE = ∠IFG    {Alternate interior angles}

∠IHE = 30°

The total area if each garden bed has a length of 4 feet is given as follows:

A = 48ft².

To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.

The area for a bed of side length s is given as follows:

A = 3s².

Hence the total area if each garden bed has a length of 4 feet is given as follows:

A = 3 x 4² = 48 ft².

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer:

322m for perimeter

Step-by-step explanation:

161/2 = 80.5

80.5*4 = 322

i think

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

Visit here to learn more about median:

brainly.com/question/26177250

#SPJ11

Step-by-step explanation:

you can find for this question answer on brainly , just research this question and then you will find the answer .

don't waste your points if you a question just research it first

Answer:

Hi there!

Your answer is:

2 & 1/4 OR 2.25 cups fills the container!

Step-by-step explanation:

If 1 & 1/2 (aka 3/2) fills 2/3 of the container, then:

we know that half of 3/2s fills 1/3 of the container

To find half of 3/2, we multiply 3/2 by the inverse of 2, which is 1/2.

3/2÷2

3/2×1/2 = 3/4 ths

Now that we know 3/4ths fills 1/3 of the container, we add that to 1& 1/2.

3/4+ 1&1/2 = 2 & 1/4

Check your work!

3/4 × 3 should equal 2&1/4 if we are correct

3/4 × 3/1 = 9/4.

Simplify!

9/4 = 2&1/4

That tells us that we are correct!

Hope this helps!

Answer:

64/27 and -9/4?

Step-by-step explanation:

check it. it could be that you need to write it as a mixed number

Answer:

Answer:

Initial number of trees (t)=204

Step-by-step explanation:

t = initial number of trees

Subtract 5 trees from the initial number of trees

we have,

t-5

each remaining tree made 210 oranges for a total of 41,790 oranges

We have,

(t-5) * 210=41790

Solve the equation

(t-5) * 210=41790

Open the bracket

210t-1050=41790

210t=41790+1050

210t=42840

Divide both sides by 210

210t/210=42840/210

t=204

The initial number of trees on MacDonald farm orange trees (t)=204

If 5 is removed from the initial trees

t-5=204-5

=199 trees

199 trees produce 210 oranges

We have,

199*210=41790 oranges

Answer:

Equation: 210t - 1050 = 41790

204 orange trees

Step-by-step explanation:

answer is from khan academy

pls brainliest :|

Answer:

x=-2

Step-by-step explanation:

A) The decimal 2.256 in expanded form and word form are respectively;  2 + 0.2 + 0.05 + 0.006;  Two and three hundred fifty six one - thousandths

B) The decimal 24.09 in expanded form  and word form are respectively; 20 + 4 + 0 + 0.09; Twenty four and 9 one - hundredths.

The expanded form used when writing decimals is the mathematical expression that shows the sum of the values of each digit in the given number.

A) We are given the decimal 2.256

Thus, in expanded form, the given decimal can be expressed as;

2 + (2/10) + (5/100) + (6/1000)

= 2 + 0.2 + 0.05 + 0.006

In word form, we can write the decimal as;

Two and three hundred fifty six one - thousandths

B) We are given the decimal 24.09

Thus, in expanded form, the given decimal can be expressed as;

20 + 4 + (0/10) + (9/100)

= 20 + 4 + 0 + 0.09

In word form, we can write the decimal as;

Twenty four and 9 one - hundredths.

Read more about writing decimals at; https://brainly.com/question/26205415

#SPJ1

Based on the given scenario, the kind of sequence explained is an arithmetic sequence

First term, a = 19

Second term, a + d

28 = 19 + d

28 - 19 = d

9 = d

Third term, a + 2d

= 19 + 2(9)

= 19 + 18

= 37

Learn more about sequence:

https://brainly.com/question/6561461

#SPJ1

Answer:

B

Step-by-step explanation:

v = how many students fit into a van

b = how many students fit into a bus

School A:

9v+7b=457 (1)

School B:

11v+7b=473 (2)

(1)&(2) => v=8

b=55

Answer: 0ft < X ≤ 5.73ft

Step-by-step explanation:

In this case, we have a rectangle.

For a rectangle of length L and width W, the area is:

A = L*W.

And we have:

L = X

W = X  + 3ft.

Then the area will be:

A = X*(X + 3ft) = X^2 + 3ft*X.

And we want to have a maximum area of 50ft^2.

Then we can write:

A = X^2 + 3ft*X ≤ 50ft^2

Now let's solve this for X.

Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.

Then makes sense start for the upper limit of X, this is when:

X^2 + 3ft*X = 50ft^2.

Now we can solve the quadratic equation:

X^2 + 3ft*X - 50ft^2 = 0

Applying the Bhaskara formula, the solutions are:

\(X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}\)

Then we have two solutions:

X = (-3ft - 14.46ft)/2 = -8.73 ft.

X = (-3ft + 14.46ft)/2 = 5.73 ft

Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.

This is the maximum value of X, and we will have:

0ft < X ≤ 5.73ft

Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.

The correct statement is,

''No, there is not a proportional relationship because degrees Celsius and degrees Fahrenheit are not the same measurement.''

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

Given that;

A thermometer shows the temperature in degrees Celsius (°C) and degrees Fahrenheit (°F).

One day, it shows 78°F and 26°C.

And, The next day, it shows 60°F and 16°C.

Now,

We know that the two quantity are in proportion if both have same measurement units.

But, Here a proportional relationship between the temperature in degrees Celsius and the temperature in degrees Fahrenheit.

Clearly, Degrees Celsius and degrees Fahrenheit are not the same measurement.

Thus, There is not a proportional relationship.

Therefore, The correct statement is,

''No, there is not a proportional relationship because degrees Celsius and degrees Fahrenheit are not the same measurement.''

Learn more about the measurement units visit:

https://brainly.com/question/777464

#SPJ1

Answer:

v=bh/3

Step-by-step explanation:

Answer:

v=bh/3

Explanation:

Answer:21-3+8=26

-14+31-6=11

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

there are a total of 25 vehicles of which 5 are black

P(Black) = 5/25 or 1/5

Answer:

93 large, 3 medium

the first thing you gotta do is find the least amount of the smaller number that you can take away until it becomes a  multiple of the largest number.

1356-12(1)

1344-12(2)

1332-12(3)

1320 12 factored into 1356 3 times before we reached a multiple of 15 so we subtract 3 from the total number of pizza sold and we have 93 large pizzas and 3 medium pizzas

disclaimer: as I am a human I might be wrong have a nice day