at the audtions, 40 studens tried out for the school show choir, but only 12 will be chosen. How many different ways can the show choir be formed

Answer:$20

Step-by-step explanation:

320 ÷ 16= 20

Answer:

faxs

Step-by-step explanation:

its b

Answer:

First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.

Using the standard equation of a straight line, y=mx+b, we know that m=-2.

Thus, so far we know that y=-2x+b.

Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.

I will use the first point, (0,7), to get 7=(-2)(0)+b.

Solving for b, we see that b=7.

Therefore, the equation of the straight line is y=-2x+7.

It is a good idea to check your answer on a graphing calculator.

Answer:

Continous distributions:

- A probability distribution showing the average number of days mothers spent in the hospital.

- A probability distribution showing the weights of newborns.

Step-by-step explanation:

A probability distribution showing the number of vaccines given to babies during their first year of life will have a discrete distribution as only a natural number can represent the number of vaccines (0, 1, 2 vaccines and so on).

A probability distribution showing the average number of days mothers spent in the hospital can be described as continous because we are averaging days and this average can be fractional, so it is not discrete.

A probability distribution showing the weights of newborns is continous, as the weights are a continous variable (physical measurement), not discrete.

A probability distribution showing the amount of births in a hospital in a month is a discrete distribution, as the number of births can only be represented by natural numbers.

The option that describes a continuous distribution include:

A continuous distribution simply means the probabilities of the values of a continuous random variable.

Learn more about probability on:

https://brainly.com/question/24756209

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

For similar questions on pool

https://brainly.com/question/28063924

#SPJ11

Generally, it is better to use a Line Graph if your raw data includes non-numeric values. If your raw data only has numeric values, use a Scatter Plot. You can use a Line Graph if you want to label your horizontal axis with text labels. These labels can represent evenly spaced values as days, weeks, and years.

An inequality equivalent to 6x+12≥48 is 3x+6≥24.

What is inequality?

Inequality means not equal. Generally, if two values are not equal, we use the “not equal symbol (≠)”. But to compare the values, whether it is less than or greater than, different inequalities are used.

This is because dividing both sides of the original inequality by 6 results in 3x + 6 ≥ 24.

In option B, C and D, the inequality is not equivalent to the original inequality, as they have different values on one side of the inequality sign.

In option B: 3x+12≥24, the left side of the inequality is greater than the left side of the original inequality.

In option C: 3x+12≥18, the right side of the inequality is lesser than the right side of the original inequality.

In option D: 3x+21≥24, the left side of the inequality is greater than the left side of the original inequality and the right side of the inequality is greater than the right side of the original inequality.

Hence, An inequality equivalent to 6x+12≥48 is 3x+6≥24.

To learn more about inequality visit,

https://brainly.com/question/24372553

#SPJ1

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

For similar question on proportion.

https://brainly.com/question/29864115  

#SPJ8

You missed up necessary data in the Question so It hard to answer it..

Using simultaneous equations, during the dinner to raise money for a children's museum, 90 tickets were sold.

Simultaneous equations are two or more equations solved concurrently or at the same time.

Simultaneous equations are also called a system of equations.

The cost of one-person ticket = $200

The cost of two-people ticket = $350

The total number of attendees at the dinner = 130

The total ticket sales = $24,000

Let number of one-person ticket = x

Let number of two-people ticket = 2y

x + 2y = 130... Equation 1

200x + 250y = 24000... Equation 2

Multiply Equation 1 by 200:

200x + 400y = 26000... Equation 3

Subtract Equation 2 from Equation 3:

200x + 400y = 26000

-

200x + 350y = 24000

50y = 2000

y = 40

x = 130 - 2y

=  130 - 80

= 50

Thus, the number of tickets sold at the dinner was 90.

Learn more about simultaneous equations at https://brainly.com/question/16863577

#SPJ1

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

Learn more on Calculating the measure of an angle here: https://brainly.com/question/15842847

#SPJ1

The IQR is the best measure of variability, and it equals 45.

Data variation can be caused by a variety of sources. Variability is also known as data spread. The standard deviation is a measure of variability since it measures the spread of data.

The range is the best measure of variability for the data shown, and its value is 45.

The range is defined as the difference between the largest and smallest values in a set of data.

In this case, the largest score is 88 and the smallest score is 20, so the range is 88 - 20 = 68.

The IQR (interquartile range) is another measure of variability, but it is not the best measure for this data set because the data set has only a few values and does not form a normal distribution. The IQR is a more appropriate measure for larger data sets that form a normal distribution.

To Know more about Variability of data visit,

https://brainly.com/question/12872866

#SPJ1

Answer:

To make $175, he has to sell 644 hotdogs.

Step-by-step explanation:

Lets do this together step by step.

To calculate the cost of a single hot dog, divide the profit recieved by the number of hot dogs.

So that would be 14/56 which would result in $0.25.

Now we know that 1 hot dog = 25 cents.

Now, all of the money we receive ( $175) comes from selling a certain number of hot dogs.  

We can see that in order to calculate how many hotdogs we could buy with this sum of money, we would need to divide the total by the price of each hot dog.

175/0.25 = 700 ( Thats quite a lot.)

700-56 =644

He has to sell 644 hotdogs to earn $175.

Step-by-step explanation:

the other answer is absolutely correct.

just the last part was not fully explained :

the question was how many additional hot dogs have to be sold to earn $175 in total ?

to make $175, 700 hot dogs have to be sold.

but 56 have been sold already (for the initial $14 earnings).

so, 700 - 56 = 644 additional hot dogs have to be sold.

The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).

To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:

Confidence interval = sample mean ± (critical value * standard error)

First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.

Next, we calculate the standard error (SE) using the formula:

SE = standard deviation / √sample size

In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156

Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)

Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363

This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.

for more search question  interval

https://brainly.com/question/20309162

#SPJ8

Answer:

Step-by-step explanation:

3 x 6 = 18 so 18/6 = 3

The model is plotted and the equation is 18/6 = 3

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 18 / 6

On simplifying , we get

A = 3

Therefore , the value of A is 3 and the model is plotted

Hence , the equation is A = 3

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

An expression for given sequence of operations is: j + 3^9

In this question, we need to write an expression for the sequence of operations described below.

raise 3 to the 9th power, then add the result to j

Consider the part of given statement,

raise 3 to the 9th power

We write this as: 3^9

then we add this result to j.

So, we get an expression: 3^9 + j

Therefore, an expression for given sequence of operations is: j + 3^9

Learn more about expression here:

https://brainly.com/question/1859113

#SPJ9

The most appropriate choice for tangent to a curve will be given by-

\(3x + 2y = 73\) is the required equation of tangent.

What is tangent to a curve?

Tangent to a curve at a point is the straight line that just touches the curve at that point.

Equation of tangent to a curve at a point \((x_1, y_1)\) is given by

\(y - y_1 = \frac{dy}{dx}|_{(x_1,y_1)} (x - x_1)\)

Here,

y = B(x), B(25) = -1, B'(25) = -1.5

Equation of tangent =

\((y - (-1)) = -1.5(x - 25)\)

\(y + 1=-1.5x +37.5\\y + 1 = -\frac{3}{2}x + 37.5\\2y + 2 = -3x + 75\\3x+2y = 75-2\\3x+2y=73\)

To learn more about equation of tangent to a curve, refer to the link-

https://brainly.com/question/28199103

#SPJ9

Answer: 103.534%

I used a calculator and everything

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

To know more about volume follow

https://brainly.com/question/29568631

#SPJ1

Answer:

y=0.5+sqrt(17)

Step-by-step explanation:

Let y=sqrt{4+sqrt{4+...+sqrt(4)}

y=sqrt(4+y). (Since it's an infinite series)

y^2=4+y, y=0.5-sqrt(17) or 0.5+sqrt(17). We will omit the negative since root values are positive.

The requried total amount of cement used is 59/8 tons or 7 3/8 tons.

A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers.

Here,
Amount of cement used on the first day = 2 6/7 tons
Amount of cement used on the second day = 4 5/8 tons

To add these two amounts, we need to first convert them to a common denominator,

2 6/7 = 2 + 6/7 = 14/7 + 6/7 = 20/7

For 4 5/8 tons, the denominator is 8, so we can convert the whole number to 8/8 and add it to the fraction

4 5/8 = 4 + 5/8 = 32/8 + 5/8 = 37/8

Now that both amounts have the same denominator, we can add them,

= 20/7 + 37/8
= (20 * 8)/(7 * 8) + (37 * 7)/(8 * 7)
= 419/56
= 59/8

So the total amount of cement used is 59/8 tons or 7 3/8 tons.

Learn more about fractions here: https://brainly.com/question/10708469

#SPJ9

A rectangle and two semicircles make up this figure. The perimeter of this figure is 423.52m.

The complete length of a shape's boundary is referred to as the perimeter in geometry. The perimeter of a shape is determined by adding the lengths of all of its edges and sides. Linear measurements like centimeters, meters, inches, and feet are used to express its dimensions. The area around a form's edge is known as its perimeter. The perimeter of a shape is always calculated by summing the lengths of its sides.

Perimeter=2*1/2πd+2a

d=68, a=105

Perimeter = 2*1/2*3.14*68+2*105

423.52m

Learn more about perimeter here

https://brainly.com/question/19819849

#SPJ1

Answer: 17/18=34/36

11/12=33/36

Step-by-step explanation:

17/18 and 11/12

First find the LCM, least common multiple, of the denominators 18 and 12.

In order to do that, list the factors of 18 and 12 and find the least common factors of them excluding 1.

18: 1, 2, 3, 6, 9, 18

12: 1, 2, 3, 4, 6, 12

Notice any common small factors? Yes they are 2 and 3. Now, multiply them with 18 and 12.

18*2=36

12*3=36

Hence, LCM is 36.

17/18=(17*2)/(18*2)=34/36

11/12=(11*3)/(12*3)=33/36

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

Answer:

26

Step-by-step explanation:

180-63-78 = 39

180 - 39- 59 =82

180-82-72=26

Answer:

284ft^2

Step-by-step explanation:

14 × 5 = 70

2 × 70 = 140

3 × 14 = 42

2 × 42 = 84

3 × 5 = 15

2 × 15 = 30

140 + 84 + 30 = 284

The probability distribution of the number of customers that enter the store on a given day is described as follows:

Poisson with a mean of 70 customers.

In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:

\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)

The parameters are:

A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:

Hence the mean is of:

8 + 16 + 18 + 28 = 70 customers.

More can be learned about the Poisson distribution at https://brainly.com/question/7879375

#SPJ1

The correct statement regarding the inverse function of f(x) = 4x^4 is given as follows:

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\); f^(-1)(x) is not a function.

The function in this problem is defined as follows:

f(x) = 4x^4.

To obtain the inverse of a function y = f(x), first the variables y and x are exchanged, as follows:

x = 4y^4.

Isolating the variable y, we have that:

y^4 = (x/4).

The inverse operation of the fourth power is the fourth root, hence:

\(y = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \sqrt[4]{\frac{x}{4}}\)

\(f^{-1}(x) = \pm \left(\frac{x}{4}\right)^{\frac{1}{4}}\)

The plus/minus symbol means that for each input of x, the inverse function gives two outputs, meaning that there are multiple outputs mapped to each input, and thus the inverse is not a function.

This means that the second statement is correct.

More can be learned about inverse functions at https://brainly.com/question/3831584

#SPJ1

Answer:

slope = 3

Step-by-step explanation:

to find the slope you do (y2-y1)/(x2-x1)=m

so we can plug the points into this formula

(5,7)     (2,-2)

x1 y1    x2 y2

-2-7/2-5=m

-9/-3=m

Simplifies to

3=m

Answer:

Step-by-step explanation:

1) Substitute (replace) every z with 9

\((9)^2+9(9)+10\)

2) Solve

    \((9)^2+9(9)+10\\81+9(9)+10\\81+81+10=172\)

(Extra Breakdown Below)

1) Calculate Exponents (9)^2 = 81

2) Multiply 9(9) = 81

3) Add 81+81+81 = 172