Use the Venn diagram to complete the missing values in the two-way table.

Thank you for helping.

A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

to know more about the power function refer to the link   https://brainly.com/question/24364138?referrer=searchResults.

#SPJ4

Chance is also referred to as probability and the probability that one is blue and one is red is 4/19

probability = Number of event/Total samples space

If there are 10 black socks,20 white socks,2 red socks, and 6 blue socks in a drawer, the total number of socks will be the sample space

Sample space = 10+20+2+6

Sample space = 38

Total number of blue and red socks is the event

Number of event one blue and one red = 8 blue socks

Chance that the socks is blue = n(E)/n(S)

Chance that the socks is one red and one blue  = 8/38

Chance that the socks is red and blue = 4/19

learn more about of probability here

https://brainly.com/question/22056623

#SPJ4

If no box has a card with the same letter as the box, then count the number of elements as 24 ways.

Given that,

Four randomly selected cards with the letters A, B, C, and D are placed in the corresponding boxes. There is exactly one card in each box.

We have to find If no box has a card with the same letter as the box, then count the number of elements.

We know that,

A permutation is a mathematical calculation that establishes the number of possible arrangements for a given set, taking into account the arrangement's order.

From the given information:

The permutation approach can be used to represent the four cards that are randomly placed in the four boxes and can be used to express the following:

=⁴P₄

Since no box contains a card that begins with the same letter as the box, it follows that

Card A can be inserted into a box four different ways,

Card B three different ways,

Card C two ways, and

Card D one way.

The four cards' permutation can then be calculated as follows:

⁴P₄=4!/0!=4×3×2×1/1=24.

Therefore, If no box has a card with the same letter as the box, then count the number of elements as 24 ways.

To learn more about cards visit: https://brainly.com/question/13293035

#SPJ4

Because EFGH is a rhombus, the distance from E to F is the same distance from E to H. Since E is the same distance from F as it is from H, it must lie on the perpendicular bisector of FH. By the same reasoning, G must lie on the perpendicular bisector of FH. Therefore, line EG is the perpendicular bisector of segment FH. So, reflecting rhombus EFGH across line FH will take E to G and G to E (because E and G are on the line of reflection) and F to H and H to F (since FH is perpendicular to the line of reflection, and R and H are the same distance from the line of reflection, on opposite sides). Since the image of rhombus EFGH reflected across EG is rhombus EHGF (the same rhombus), line EG must be a line of symmetry from rhombus EFGH.

f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

The transformation of a function may involve any change.

Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.

Given that the function g(x) is a transformation of the parent function f(x).

To Decide how f(x) was transformed to make g(x).

The reflection of the point (x,y) across the line y = 1/2 x is the point (y, x).

By the given tables we can see that;

g(x) = 1/2 f (x)

Therefore, f(x) was transformed to make g(x) by B) Horizontal or vertical stretch.

Learn more about transforming functions here:

https://brainly.com/question/17006186

#SPJ1

Answer:

The function crosses the Y axis (the up down axis) at -1

Step-by-step explanation:

There are 5 1's in the given identity matrix of order 5.

Given, an identity matrix of order 5

we have to find the number of 1 in the given matrix

So, as the matrix is an identity matrix and the order of the matrix is 5

in an identity matrix, the entry is 1 when

i = j i.e. on the diagonal elements.

As, the order of the matrix is 5 then, the number of 1's in the matrix are 5.

Hence, there are 5 1's in the given identity matrix of order 5.

Learn more about Matrices here https://brainly.com/question/27877606

#SPJ4

Converted form of ratio 60:52 in form n:1 is 10/7 : 1.

How to write a ratio in n:1 form?

In order that a ratio is written in the form n:1 we must make the right hand side equal to one.

n can be expressed as a decimal or a fraction.

According to the given question:

Convert ratio 60:52 in n:1 form

So, divide both sides of ratio with 52 to get 1 on right side of ratio.

60/52 : 1

10/7 : 1

Hence 10/7 : 1 is the converted form.

To know more about ratio in n:1 form visit

https://brainly.com/question/26451942

#SPJ9

Answer:

130 mi/ per quart

Step-by-step explanation:

260 mi/8 gallons =32.5 mi/gallon

1 gallon = 4 quarts, so 32.5 gallons is 130 quarts

If this property is violated, the observations are said to be: autocorrelated

What is Random Series?

The results of an experiment are functions of an integer argument, and the results are described by a random series: U1, U2.. (or, simply, sequences of random values - 1st value, 2nd value, etc).

The term "time series" and, occasionally, "random processes with discrete time" are frequently used to describe random series. The Markov chain exemplifies a crucial category of random series.

In this question, it's asked when the property of independence is violated.

If the consecutive observations are correlated or linearly related, then they are said to be autocorrelated. This denotes that there will be an association of the current time period with the successive and preceding time periods. Violation of the autocorrelation assumption yields inaccurate results.

Hence, The observations are said to be: autocorrelated in the random series.

Learn more about Random Series, by the following link.

https://brainly.com/question/27241906

#SPJ4

The expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250 and the total amount that can be raised is $194.

What is total revenue?

Total revenue is the amount of money earned by a company from the sale of its goods and services. In other words, businesses use this metric to determine how well their core revenue-generating operations are performing. Total revenue is directly related to marginal revenue.

Number of tickets that will be sold = 50

Number of student tickets that will be sold = t

Number of adult tickets that will be sold = 50 - t

The total amount of money that can be raised from selling 50 tickets is the sum of the total amount raised from selling student tickets and adult tickets.

Total revenue = total amount raised from selling students tickets + total amount raised from selling adults tickets

Total revenue = [3 x t] + [(50 -t) x $5]

Total revenue = $3t + $250 - 5t

Total revenue = -2t + 250

Total revenue = -2(28) + 250

Total revenue = -56 + 250 = $194

Hence, the expression that represents the total amount that can be raised from selling 50 tickets is -2t + 250, and the total amount that can be raised is $194.

To learn more about total revenue visit,

https://brainly.com/question/28362822

#SPJ4

Answer:

In explanation down below.

Step-by-step explanation:

So if the boat was able to travel 27 miles in 2 hours that means that it traveled 13.5 miles an hour. I think that you want to know how many miles the boat will travel in 1/2 an hour. Which is 6.75.  

1 hour: 13.5 miles

1/2 hour the boat has traveled 6.75 miles.

I hope this helps!!!

Please mark brainliest :)

This equation [tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex] has no solution.

Since we have given that

[tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

We need to find the solution of the above equation:

Since is a rational equation so, we will check for its extraneous solution.

[tex]\frac{3}{m + 3}[/tex] - [tex]\frac{m}{3 - m}[/tex] = [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{3}{m + 3}[/tex] +  [tex]\frac{m}{3 - m}[/tex]  =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]  

[tex]\frac{3(m + 3) + m(m +3)}{m^{2} - 9}[/tex] =   [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{3m - 9 + m^{2} +3m }{m^{2}-9 }[/tex] =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]\frac{m^{2} -9+6m}{m^{2} -9}[/tex] =  [tex]\frac{m^{2 } + 9}{m - 9}[/tex]

[tex]m^{2} +6m -9 = m^{2} + 9[/tex]

[tex]6m = 18[/tex]

[tex]m = \frac{18}{6} = 3[/tex]

Hence, the extraneous solution in case of rational equation is 3 , when we put m = 3, it becomes undefined so, it has no solution.

Learn more about equations here;

https://brainly.com/question/22688504

#SPJ4

The equation of a line that passes through points (a,b) and (c,d) is (c-a)y = (d-b)x+b(c-a)-a(d-b).

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Let the two points are (a,b) and (c, d)

To find the equation of line,

Use formula y- y₁ = (y₂-y₁/x₂-x₁) (x-x₁)

The equation of line,

y-b = (d-b/c-a)(x-a)

(c-a)(y-b) = (d-b)(x-a)

(c-a)y = (d-b)x+b(c-a)-a(d-b)

The required equation of the line is (c-a)y = (d-b)x+b(c-a)-a(d-b).

To know more about Equation of line on:

https://brainly.com/question/21511618

#SPJ1

The value of the total distance between the two stations is 2520m

The train runs with the following acceleration:

v = u + at

12 = 0 + a(120)

a = 0.1 m/s2.

Distance covered by the train in first part:

S = 1/2at^2

S = 1/2×0.1×(120)^2

S = 720m

Distance covered in second part:

S = ut

S = 12×60 = 720m

Train deceleration is given by

v = u+ at

0 = 12+a (180)

a = -1/15

Distance covered by the train in last part:

S = ut- 1/2at^2

S = 12(180) - 1/2(1/15)(180)^2

S = 2160 - 1080

S = 1080m

Therefore,  The value of the total distance between the two stations is 720+720+1080 = 2520m.

The complete question is :A tram leaves a station and accelerates for 2 minutes until it reaches a speed of 12 meters per second. It continues at this speed for 1 minute. It then decelerates for 3 minutes until it stops at the next station .Calculate the distance, in meters, between the two stations.​

To learn more about distance in meter refer to:

https://brainly.com/question/24136752

#SPJ1

Option (d)- No, because the events are not independent. Hence we can not conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated labors or operators.

We have given that government data show that 26% of the civilian labor force has at least 4 years of college and that 15% of the labor force works as laborers or operators of machine or vehicle.

So here,

event A = 26% of civilian labor force hast at least 4 years of college

event B = 15% of the labor force works as laborers or operators of machines or vehicles

Therefore it is observe that both the events are not independent.

Hence we cannot conclude that because (0.26)(0.15) = 0.039 about 4% of the labor force are college-educated laborers or operators.

To know more about labors here

https://brainly.com/question/17136480

#SPJ4

The direction of increase of the given objective functions is

(a) in the direction of x₁

(b) in the direction of x₂

(c) in the direction of x₂

In the question ,

three objective functions are given ,

we have to find the direction in which the given function increase ,

So ,

Part (a) ,

z = 4x₁ - x₂

According to the signs of the variables given ,

the function z will increase in the direction of x₁ , because x₁ has positive sign and it will decrease in the direction of x₂ as it has a negative sign .

Part(b) ,

z = -x₁ + 2x₂

According to the signs of the variables given ,

the function z will increase in the direction of x₂ , because x₂ has positive sign and it will decrease in the direction of x₁ as it has a negative sign .

Part(c) ,

z = -x₁ + 3x₂

According to the signs of the variables given ,

the function z will increase in the direction of x₂ , because x₂ has positive sign and it will decrease in the direction of x₁ as it has a negative sign .

Therefore , The direction of increase of the given objective functions is

(a) in the direction of x₁

(b) in the direction of x₂

(c) in the direction of x₂ .

The given question is incomplete , the complete question is

For each of the following, determine the direction in which the objective function increases:

(a) z = 4x₁ - x₂

(b) z = -x₁ + 2x₂

(c) z = -x₁ + 3x₂

Learn more about Functions here

https://brainly.com/question/28081623

#SPJ4

Exactly one unique triangle exists with the given side lengths, option B is correct.

Here, we are given that the three sides of triangle are- 12, 15 and 18.

According to the triangle inequality theorem- “The sum of the length of any two sides of a triangle should be greater than the third side”. Let us see if this holds in this case-

(12 + 15) > 18

(15 + 18) > 12

(12 + 18) > 15

Thus, we see that the triangle inequality theorem is satisfied. So there is only one triangle possible with the sides of given lengths.

Hence, exactly one unique triangle exists with the given side lengths, option B is correct.

Learn more about triangles here-

https://brainly.com/question/17335144

#SPJ4

Your question was incomplete. Check for full content below-

How many triangles exist with the given side lengths?

12 in, 15 in, 18 in

A) No triangle exists with the given side lengths.

B) Exactly one unique triangle exists with the given side lengths.

C) More than one triangle exists with the given side lengths.

Answer:

12.45, 0.25, -0.85, -12

Step-by-step explanation:

The larger the negative the lesser the value, opposite for positive numbers

In given word problem , number of total pages in the book is 168.

What is word problem?

      Word problems in mathematics that concentrate on addition, subtraction, multiplication, and division, among other more precise operations A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Here Eden and Kember are reading the same book.

Here Eden reads 1/6 pages of the book. And Kimber reads,

=> 1/6(total pages)+32 which is 60.

=> 1/6(x)+32=60

=>1/6(x)=60-32=28

=> x = 28*6

=> x = 168.

Therefore total number of page in the book is 168.

To learn more about word problem refer the below link

https://brainly.com/question/21405634

#SPJ1

The total unit of fuel used per mile f (N)= 12+ 2.2N

A linear function has the following form

y = f (x) = a + bx

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

The graph of a linear function is a straight line.

The train uses 12 unit of fuel per mile and an additional 2.2 unit of fuel per mile for each railcar on the train.

Therefore the unit of fuel used per mile by N railcars is 2.2N

The total number of unit of fuel used per mile = 12+2.2N

therefore f(N)= 12+2.2N

learn more about linear function from

https://brainly.com/question/4025726

#SPJ1

The domain of the function is 24.The collection of all potential inputs for a function is known as its domain.

Explanation:

F(x)= 12x-5 and G(x) = 2x²+3

Find (G-F) (-2) ,    put x = 0 ,   2+3-12-5 = -12.

-12 * -2 = 24.

The domain of the function is 24.    

To learn more about Domain refer to:

https://brainly.com/question/26098895

#SPJ1

The triangle with angles 44 degrees, 54 degrees, and 82 degrees will be a scalene triangle.

We are given the following:

The measures, in degrees, of the three angles of a triangle are x, x + 10, and 2x - 6.

We know from the triangle angle sum property that the sum of its internal angles is 180 degrees.

Let us find the given angles;

x + x + 10 + 2x - 6 = 180 degrees

4x + 4 = 180 degrees

4x = 180 - 4 degrees

x = 176 / 4 degrees

x = 44 degrees

So,

Angles will be;

x = 44 degrees

x + 10 = 44 + 10 = 54 degrees

2x - 6 = 2 * 44 - 6 = 88 - 6 = 82 degrees

All the angles are different.

Thus, the triangle with angles 44 degrees, 54 degrees, and 82 degrees will be a scalene triangle.

To learn more about angle sum property visit:

https://brainly.com/question/8492819

#SPJ4

Point C - Tolerance values above 0.2 may indicate multi collinearity in the data is correct.

Given that

It must be below 0.2, along with VIF above 10.

The remaining options are not correct.

A. If the average variance inflation factor is greater than 1 then the regression model might be biased.

B. Multi collinearity in the data is shown by a VIF (variance inflation factor) greater than 10.

D. The tolerance is 1 divided by the VIF (variance inflation factor).

Hence the answer is Point C - Tolerance values above 0.2 may indicate multi collinearity in the data is correct.

To learn more about Multi collinearity click here https://brainly.com/question/14161288

#SPJ4

Answer:

[tex]3(4)^{23}[/tex]

Step-by-step explanation:

Let the first term be [tex]a[/tex] and the common ratio be [tex]r[/tex].

We know [tex]a=3[/tex] and [tex]ar=12[/tex], meaning [tex]r=4[/tex].

This means the 24th term is [tex]3(4)^{23}[/tex].

If the data collection contains the given following numbers: 1, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 87 , Here 1 and 87 represents the outlier.

The important characteristics of the Statistics that are given as follows:

Statistics have always been numerically expressed.

For instance, if the data collection contains the following numbers: 1, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 87

The display of all data and outliers

The numbers 1 and 87, which are at the extreme and are hence outliers in the number line above, may be seen to be at these extremes.

The group outliers are a part of it, but they are not always close to the other group members.

Outliers are a concern as they cause an imbalance in the data set, which is why they are typically eliminated. Furthermore, an error can sometimes cause an outlier to appear in a data collection.

To know more about Outliers, visit:

brainly.com/question/26958242

#SPJ4

The Mean absolute deviation and the mean are not same.

Given,

The mean;-

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.

Mean absolute deviation;-

The average distance between each data point and the mean is known as the mean absolute deviation of a dataset. It offers us a sense of how variable a dataset contains.

Therefore,

The Mean absolute deviation and the mean are not same.

Learn more about mean absolute deviation and mean here;

https://brainly.com/question/26938101

#SPJ4

She needs to get her interest rate at will 5.592 %/year.

What is Compound interest?

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

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where,

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest is applied per time period

t = number of time periods elapsed

Solving for rate r as a decimal

r = n[(A/P)1/nt - 1]

r = 12 × [(2,500.00/2,000.00)1/(12)(4) - 1]

r = 0.0559158

Then convert r to R as a percentage

R = r * 100

R = 0.0559158 * 100

R = 5.592%/year

Hence, she needs to get her interest rate at will 5.592 %/year.

To learn more about the compound interest rate visit,

https://brainly.com/question/28020457

#SPJ4

After doing a hypothesis test the conclusion is reject [tex]H_0[/tex] .

Given:

tom is a big green bay packers and aaron rodgers fan. he claims that aaron rodger's average number of touchdowns per game is 2.45. dave (a hardcore bears fan) believes that tom might be inflating rodgers's statistics. from his debut until november 18, 2019, aaron rodgers has played 175 games! dave does not want to look at all of them. he randomly selects 52 games that rodgers played and finds the sample average number of touchdowns to be 1.942 with a standard deviation of 1.42.

here n = 52

σ = 1.42

x = 1.942

μ = 2.45

z = x - μ / σ/√n

= 1.942 - 2.45 / 1.42/√52

= -2.58

p value = 0.0049

[tex]H_0:mean = 2.45[/tex]

[tex]H_a:mean < 2.45[/tex]

Rejection rule:Reject [tex]H_0[/tex] if p value < 0.05

Conclusion Reject [tex]H_0[/tex]

Learn more about the hypothesis here:

https://brainly.com/question/29519577

#SPJ4