79% of U.S. adults think that political correctness is a problem in America today. You randomly select six U.S. adults and ask them whether they think that political correctness is a problem in Ameri today. The random variable represents the number of U.S. adults who think that political correctness is a problem in America today.


Required:

Find the mean of the binomial distribution μ = 4.7

Answer:

$3000

Step-by-step explanation:

Look at where the x value is equal to 100 and look at what value the purple line intersects with when it reaches 100

you can see that when the purple hits 100 it is also on the 3000 line

hope this helps<3

Answer:

\( \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } \)

Answer:

Yes they are congruent

Option B is correct

Step-by-step explanation:

Opisite sides of parallelogram are congurent so,

BA is congruent to CD (side)

And

BE I congruent to ED (Side)

AE is congruent to EC (Side)

So according to side-side-side congurence theorem triangle ABE is congruent to triangle CDE

Hope you understand :)

Answer: A.

Step-by-step explanation:

Slinky A is 26 inches there are 24 inches in two feet so slinky B isn’t longer. Then they are obviously not equal because we figured out they have different lengths

The value of DC is 29 units.

This is a question of linear equation in one variable.

It is given in the question that :-

DE = 100 units

DC = (x - 4) units

CE = (2x + 5) units

We have to find the value of DC.

We know that,

DE = DC + CE   (As the points D, C and E are co-linear)

Hence, from the data given in the question, we can write,

100 = (x - 4) + (2x + 5)

100 = (x + 2x) + (-4 + 5)

100 = 3x + 1

3x = 100 - 1

3x = 99

x = 99/3

x = 33

Hence, DC = x - 4 = 33 - 4 = 29 units.

To learn more about linear equation in one variable, here:-

https://brainly.com/question/17139602

#SPJ1

Problem

write this as a conditional statement, converse inverse and counterpositive

Mrs.smith has a dog that is not a poodle.​

Solution

Conditional: If Mrs smith has a dog THEN is not a poodle

Converse Inverse: If a dog is a poodle then is from Mrs Smith

Counterpositive: If the dog is NOT a poodle then is NOT from Mrs Smith

Answer: ^2(^2−3)

Step-by-step explanation:

Answer:

\( {m}^{4} - 3 {m}^{2} \\ {m}^{2} ( {m}^{2} - 3)\)

I hope I helped you^_^

Applying proportions, the amount of money Bob saved is $18.

Proportions can also be used to express a relationship between two or more values in the form of a ratio, such as a:b, where a and b are values being compared.

We can start the problem by using the proportion of saving to earning, which is 9/16.

If for every $16 he earns babysitting, he saves $9, then for $32 that he earned babysitting, he saved:

$9 / (16/32) = $9 * 2 = $18

So Rob saved $18 from the money he earned babysitting on Saturday

Learn more about proportions on:

https://brainly.com/question/870035

#SPJ1

Answer: Adding and subtracting polynomials are both arithmetic operations used in algebra. The main difference between the two operations is the sign of the terms being combined.

Adding polynomials involves combining like terms by adding their coefficients. When adding polynomials, the terms being added have the same sign. For example, when adding the polynomials x^2 + 2x + 1 and 3x^2 + 4x + 2, we combine the like terms (x^2 terms, x terms, and constant terms) by adding their coefficients:

(x^2 + 2x + 1) + (3x^2 + 4x + 2) = 4x^2 + 6x + 3

Subtracting polynomials involves subtracting one polynomial from another by changing the sign of each term in the polynomial being subtracted and then adding the resulting polynomials. When subtracting polynomials, the terms being subtracted have opposite signs. For example, when subtracting the polynomial 3x^2 + 4x + 2 from the polynomial x^2 + 2x + 1, we first change the sign of each term in the polynomial being subtracted:

(x^2 + 2x + 1) - (3x^2 + 4x + 2) = x^2 + 2x + 1 - 3x^2 - 4x - 2

Then, we combine the like terms by adding their coefficients:

x^2 -  x - 1

In summary, the main difference between adding and subtracting polynomials is that adding involves combining like terms with the same sign, while subtracting involves changing the sign of one polynomial and then adding the resulting polynomials.

Step-by-step explanation:

The equation of the graphed function is;

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

This means that at values of x = -3 or x = 2, the denominator becomes zero and the function becomes undefined.

(x + 3)(x - 2)

Thus, we have;

f(x) = a/((x + 3)(x - 2))

At (0, 0.5), we have;

0.5 = a/((0 + 3)(0 - 2))

0.5 = a/(-6)

Multiply both sides by -6 to get;

-3 = a

f(x) = -3/((x + 3)(x - 2))

Read more at; https://brainly.com/question/14829729

Answer:

Layton should report royalty expense of: $85,000.

Step-by-step explanation:

Under the cash basis of accounting, sales equals cash collections. Layton's sales of the Garner book totaled $300,000 for the last half of 20X6. In its 20X6 Income Statement.

Answer:

2x - 2y or x -2y or 0pick one out of the three

Answer:

B

Step-by-step explanation:

So we have the equation:

\(4xz-4yz=5\)

And we want to find the value of 5/4x in terms of x and y.

From our original equation, let's factor out a 4z from the left. So:

\(4z(x-y)=5\)

Now, divide both sides by 4z:

\(x-y=\frac{5}{4z}\)

Therefore, the expression that represents 5/4z is x-y.

The correct answer is B.

Answer:

could you explain well coz it confused

Two length of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. Given that the pool in this instance is 24 m long and has six loops, the wavelength is 4 m.

Wavelength = Length of Pool / Number of Loops

24 m / 6 loops

= 4 m

Wavelength

= 4 m

Two waves of the same frequency and amplitude moving in opposite directions combine to form a standing wave, which appears to be stationary. A stationary wave pattern is produced when the two waves collide and interfere with one another. Six loops make up the 24 m-long pool in this instance. As a result, the standing wave's wavelength is equal to the pool's length divided by the number of loops, or 24 m / 6 = 4 m. This indicates that the standing wave's wavelength is 4 metres. Standing waves can be used to determine a wave's speed because they are equal to wavelength times frequency. Understanding how waves behave in various contexts, such as swimming pools, oceans, or other bodies of water, can be helped by this.

Learn more about length here

https://brainly.com/question/13194650

#SPJ4

Answer: x=1

Step-by-step explanation:

What is standard deviation?

The term "standard deviation" (or "σ") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

What does a standard deviation of 1 mean?

What one standard deviation (SD) means. on a normal or bell-shaped distribution of the data. The region of a bell curve starting at position 13 on the y axis is roughly filled by 1 SD = 1 Standard deviation = 68% of the scores or data values.

Solution

Given that,

mean   = 6.2

standard deviation   = 1.2

The z - distribution of the 6 % is,

P( Z < z ) =  6 %

P( Z < z ) = 0.006

P( Z <  -1.866) = 0.006

z = -1.866

The z - distribution of the 6 % is,

P( Z > z ) =  6 %

1 - P( Z < z ) = 0.006

P( Z <  ) = 1 - 0.006

P( Z < z ) = 0.994

P( Z < 1.866 ) = 0.994

z = 1.866

Using z - score formula,

X = z * σ  +  µ

   = -1.866 * 1.2 + 6.2  

   = 3.9608

The minimum head diameter that will fit the clientele is,

min = 3.9608

and

Using z - score formula,

X = z * σ  +  µ

   = 1.866 * 1.2 + 6.2  

   = 8.4392

The maximum head diameter that will fit the clientele is,

max = 8.4392

Learn more about the standard deviation here:

https://brainly.com/question/475676#:~:text=This%20is%20Expert%20Verified%20Answer&text=Standard%20deviation%20is%3A%20It%20is,squared%20differences%20from%20the%20Mean.

#SPJ4

It takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution. “A Ferris wheel has a radius of 34 feet and completes two revolutions every 11.8 minutes.

How long does it take for the Ferris wheel to complete one revolution?”, we need to use the concept of time and angle taken by the Ferris wheel to complete one revolution.The Ferris wheel’s radius is 34 feet.

Thus, the diameter of the Ferris wheel is 2 × radius = 2 × 34 = 68 feet.Circumference of the Ferris wheel = 2 × π × r = 2 × π × 34 = 68π feetNow, we need to find out how much time it takes for the Ferris wheel to complete one revolution.

Time taken for two revolutions = 11.8 minutesThus, time taken for one revolution = (11.8/2) minutes = 5.9 minutes

So, it takes 5.9 minutes for the Ferris wheel to complete one revolution. It takes 5.9 minutes for the Ferris wheel to complete one revolution.

To know more about Ferris wheel visit:

https://brainly.com/question/30885383

#SPJ11

A plasmid used in both yeast and bacteria requires two different selection markers because the same selection may not work for both hosts and bacteria and yeast recognize different promoters.

When using a plasmid in both yeast and bacteria, it is important to have two different selection markers for several reasons. First, the same selection, such as the presence of an antibiotic, may not be effective in both hosts. Different organisms have varying sensitivities to antibiotics, so a marker that works in bacteria may not work in yeast or vice versa. Therefore, two different selection markers are needed to ensure successful selection in both hosts.

Additionally, bacteria and yeast recognize different promoters, which are DNA sequences that control the initiation of gene expression. Promoters are specific to each organism and play a crucial role in regulating gene expression. By incorporating two different selection markers into the plasmid, each marker can be driven by a promoter recognized specifically by the corresponding host. This ensures that the selection marker is effectively expressed in the appropriate host organism, enabling accurate selection and maintenance of the plasmid.

In summary, using two different selection markers in a plasmid intended for both yeast and bacteria is necessary because the same selection may not be effective in both hosts, and different promoters are recognized by bacteria and yeast. This approach allows for successful selection and maintenance of the plasmid in both organisms.

To learn more about plasmid refer:

https://brainly.com/question/30313647

#SPJ11

Answer:

Maura had 12 cards initially

Step-by-step explanation:

Represent Dai's card with D and Maura's card with M.

From the first statement, we understand that:

D = 4 more that twice of M

This is represented as:

D = 4 + 2M

From the second statement, we understand that.

When 8 is subtracted from D, M is increased by 8 and both are equal.

This is represented as:

D - 8 = M + 8

Hence, the equations of the system is:

D = 4 + 2M

D - 8 = M + 8

Substitute 4 + 2M for D in the second equation

4 + 2M - 8 = M + 8

Collect like terms

2M - M = 8 - 4 + 8

M = 12

To solve for D, we simply substitute 12 for M in D = 4 + 2M

D = 4 + 2 * 12

D = 4 + 24

D = 28

Hence, Maura had 12 cards initially

Answer:

15 minutes

Step-by-step explanation:

Divide 12 yards by 4/5 yards.

12 ÷ 4/5 =

12 * 5/4 =

15

Thus, it would take the ant 15 minutes to crawl 12 yards.

Answer:

1024

Step-by-step explanation:

Hope it helps

The angle made by a circle in one round is equal to the 360 degrees.

The angle of the unknown segment asked in the problem is equal to the 120 degrees.

The angle made by a circle in one round is equal to the 360 degrees. To find the angle of the chord we need to follow some steps-

Given information-

The figure given in the figure is attached below.

In the given figure one angle is equal to 120 degrees and other angle is 155 degrees.

As the measure of all the angle of circle is equal to the 360 degrees. Thus the angle made by third segment is,

\(\angle x=360-155-120\\\angle x=85^o\)

Thus the angle of the third segment is 85 degrees.

The angle asked in the problem is middle segment whose resume is mention in the image which is equal to the 120 degrees.

Thus the angle of the unknown segment asked in the problem is equal to the 120 degrees.

Learn more about the angle of chord here;

https://brainly.com/question/1070195

The value of c in the given function  f(x)={-x³, xc}  that makes the function f(x) continuous is calculated to be c = -1.

For the function f(x) to be continuous, it must be true that:

lim x→c- f(x) = lim x→c+ f(x) = f(c)

Let's first find lim x→c- f(x):

lim x→c- f(x) = lim x→c- (-x³) = -c³

Now, let's find lim x→c+ f(x):

lim x→c+ f(x) = lim x→c+ (xc) = c²

For f(x) to be continuous, it must be true that:

-c³ = c²

Multiplying both sides by -1, we get:

c³ = -c²

Dividing both sides by c² (note that c cannot be 0), we get:

c = -1

Therefore, the value of c that makes the function f(x) continuous is c = -1.

Learn more about Contineous Functions :

https://brainly.com/question/21447009

#SPJ4

The pH of the buffer solution resulting from mixing 60 ml of 0.250 M HCHO₂cannot be determined without additional information.

To calculate the pH of a buffer solution, we need to know the concentration and dissociation constant of the acid and its conjugate base. In this case, we are given the volume (60 ml) and concentration (0.250 M) of the acid, HCHO₂. However, we need information about the dissociation constant or the concentration of the conjugate base to determine the pH of the buffer solution.

A buffer solution is formed by the combination of a weak acid and its conjugate base (or a weak base and its conjugate acid). The buffer system resists changes in pH when small amounts of acid or base are added. The pH of a buffer solution depends on the ratio of the concentrations of the acid and its conjugate base, as well as their dissociation constants.

Without knowing the concentration of the conjugate base or the dissociation constant, we cannot calculate the pH of the buffer solution accurately. Additional information is required to determine the pH.

Learn more about Buffer solution

brainly.com/question/31367305

#SPJ11.

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then \($g(x) =x^2-10\) exists g(10) = 90.

The value of g(10), we have to substitute in every x of f(x), the

\(f(x) = 2x + 1\) exists f(90) = 181

Therefore, the value of f[g(10)] exists 181.

To estimate the value for g(10), that means that you have to substitute 10 in every x of g(x), then

\($g(x) =x^2-10\)

substitute the value of x = 10

\($g(10) = (10)^2-10\)

simplifying the equation, we get

g(10) = 100 - 10

g(10) = 90

We have the value of g(10), we have to substitute in every x of f(x), then

f(x) = 2x + 1

substitute the value of x = 90

f(90) = 2(90) + 1

simplifying the equation, we get

f(90) = 180 + 1

f(90) = 181

The value of f[g(10)] exists 181.

Therefore, the correct answer is option b) 181.

To learn more about functions refer to:

https://brainly.com/question/27063206

#SPJ4

Answer: (-1, 1)

Step-by-step explanation:

Since the graph is already given, we could directly refer to the intersecting point of the system of equations.

According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).

Therefore the solution is \(\Large\boxed{(-1,1)}\)

Given equation

1) y = 2x + 3

2) y = -x

Substitute the y value in the 1) equation by the 2)

(-x) = 2x + 3

Add x on both sides

-x + x = 2x + 3 + x

0 = 3x + 3

Subtract 3 on both sides

0 - 3 = 3x + 3 - 3

-3 = 3x

Divide 3 on both sides

-3 / 3 = 3x / 3

x = -1

Substitute the x value into one of the equations to find the y value

y = -x

y = - (-1)

y = 1

Therefore, the solution is \(\Large\boxed{(-1,1)}\)

Hope this helps!! :)

Please let me know if you have any questions

The optimal point values for x1, x2, λ, and μ (Lagrange multipliers) in the given problem are:

x1 = 1

x2 = 1

λ = -4

μ = 2

To solve the optimization problem using the Lagrange multipliers technique, we first construct the Lagrangian function L(x1, x2, λ) by incorporating the equality constraint:

L(x1, x2, λ) = f(x1, x2) - λ(g(x1, x2))

Where f(x1, x2) is the objective function, g(x1, x2) is the equality constraint, and λ is the Lagrange multiplier.

In this case, the objective function is f(x1, x2) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6, and the equality constraint is g(x1, x2) = x1 + x2 - 2.

The Lagrangian function becomes:

L(x1, x2, λ) = 2x1^2 - 2x1x2 + 2x2 - 6x1 + 6 - λ(x1 + x2 - 2)

To find the optimal values, we need to find the critical points by taking partial derivatives of L with respect to x1, x2, and λ and setting them equal to zero. Solving these equations simultaneously, we get:

∂L/∂x1 = 4x1 - 2x2 - 6 - λ = 0

∂L/∂x2 = -2x1 + 2 + λ = 0

∂L/∂λ = -(x1 + x2 - 2) = 0

Solving these equations, we find x1 = 1, x2 = 1, and λ = -4. Substituting these values into the equality constraint, we can solve for μ:

x1 + x2 - 2 = 1 + 1 - 2 = 0

Therefore, μ = 2.

The optimal point values for the variables in the optimization problem are x1 = 1, x2 = 1, λ = -4, and μ = 2. The Lagrange multipliers λ and μ represent the rates of change of the objective function and the equality constraint, respectively, with respect to the variables. They provide insights into the sensitivity of the objective function to changes in the constraints and can indicate the impact of relaxing or tightening the constraints on the optimal solution. In this case, the Lagrange multiplier λ of -4 indicates that a small increase in the equality constraint (x1 + x2 - 2) would result in a decrease in the objective function value. The Lagrange multiplier μ of 2 indicates the shadow price or the marginal cost of satisfying the equality constraint.

To know more about optimal point values visit:

https://brainly.com/question/9429432

#SPJ11

Answer:

x = 11

Step-by-step explanation:

C is the circumcenter of \(\triangle PQR\)

\(\implies PC=QC=RC\) (Radii of same circle)

\(\implies RC=QC\)

\(\implies 5x-15=51-x\)

\(\implies 5x +x=51+15\)

\(\implies 6x =66\)

\( \implies \: x = \frac{66}{6} \\ \\ \implies \: \huge \: \red{x = 11}\)

a) x[n] = e²+j5n is not periodic.

b) x(t) = sin¹ (70m t) has a period of T = 2π / (70m).

c) x[n] = cos(0.375n) + sin(0.5π n) has a period of T = 8.

To determine if the given signals are periodic, we need to check if there exists a positive value T for which the signals repeat after every T units of time (for continuous-time signals) or every T samples (for discrete-time signals). Let's analyze each signal:

a) x[n] = e²+j5n

This discrete-time signal is not periodic. The exponential term e² will keep growing as n increases, and there is no repeating pattern.

b) x(t) = sin¹ (70m t)

This continuous-time signal is periodic. To find its period, we need to identify the smallest positive value T for which sin¹ (70m t) repeats. The period of a sin¹ function is 2π, divided by the coefficient of t inside the sin¹ function. Therefore, the period is T = 2π / (70m).

c) x[n] = cos(0.375n) + sin(0.5π n)

This discrete-time signal is periodic. To find its period, we need to identify the smallest positive value T for which cos(0.375n) and sin(0.5π n) repeat. The period of both cos and sin functions is 2π. We need to find the least common multiple (LCM) of the coefficients in front of n for both terms, which is 8. Therefore, the period is T = 8.

To learn more about periodic here:

https://brainly.com/question/28223229

#SPJ4