43/(-12 + 22
( (2 x 3)2 + (-5 x 2 x 3) + 2
Give your answer in simplest form.

Step-by-step explanation:

the sum of all angles in a triangle is always 180°.

so,

180 = 60 + 45 + angle4 = 105 + angle4

75° = angle4

The cluster sample represents the the characteristic of group of same types objects.

What is the cluster sampling?

A population is divided into clusters, such as districts or schools, and some of these clusters are randomly chosen as your sample via the probability sampling technique known as cluster sampling. In a perfect world, each cluster would be a tiny reflection of the entire population.

A researcher intends to carry out a study to evaluate sophomores' abilities in business education across the United States. There is no way to carry out a research study with participants from every university. Instead, the researcher can group the universities from each city into a single cluster by utilizing cluster sampling. The sophomore student population in the United States is then comprised of these clusters. Next, select clusters at random for the research project using either simple random sampling or systematic random sampling. The sophomores from each of these determined groups can then be picked on whom to perform the research study utilizing simple or systematic sampling.

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9514 1404 393

Answer:

Step-by-step explanation:

The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.

Here are the segment slopes (rise/run).

  AB = -3/1 = -3

  BC = 2/3

  AC = -1/4

Answer:

D) 2x + y = 4

Step-by-step explanation:

2x + y = -6 and 2x + y = 4 will not have any solution because -6 ≠4

Answer:

(-2,5)

Step-by-step explanation:

Answer:

number one is 22 number two is 16 number three is 32

Step-by-step explanation:

We have to find the area under the standard normal curve to the right of z=1,26.

The area to the right of z = 1.26 is 0.1038 (rounded to 4 decimal places).

Step-by-step explanation:

Given, we have to find the area under the standard normal curve to the right of z=1,26.

By using TI-84 Plus calculator:

Press the '2nd' button, then the 'VARS' key (DISTR)

Choose normal cdf Enter 1.26, E99, 0, 1)Press enter

The calculator should show 0.1038.

(rounded to 4 decimal places)

Hence, the area to the right of z = 1.26 is 0.1038 (rounded to 4 decimal places).

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There searched up please be correct

Answer:

domain (x) is equal to or greater than 0 and range is equal to or greater than 6. for the graph.

Step-by-step explanation:

Pls don't judge me if this is wrong

Answer:

1

Step-by-step explanation:

Example: 2×1/2=1

.....

The slicing of an object is not done by the LASER light. Then the correct options are A, B, C, and E.

LASER means Light Amplification by the Stimulated Emission of Radiation.

A.  Scanning barcodes - The bar-code machine uses the LASER light to scan the barcode printed on the product.

B.  Transmitting telephone and Internet signals - In LAN cable, LASER light is used to send the signal and data.

C.  Examining internal body parts - In an X-ray machine, the LASER light is used to scan the body part of living beings.

D.  To cut through metals, ceramics, plastics, and cloth - The slicing of an object is not done by the LASER light.

E.  Correcting vision problems - In eye surgery, the correction of eye sightedness is done by the LASER technology.

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Answer:

A,D,E are the answersss!!!!!

Step-by-step explanation:

a) Let x represent the number of pounds of seed needed per acre. From the information given, It takes 60 pounds of seed to completely plant a 10-acre field. Thus, we have the following equations

60 = 10

x = 1

By crossmultiplying, we have

10x = 60

x = 60/10

x = 6

6 pounds of seed are needed per acre

b) Let x represent the number of hours of bike use that a customer gets per dollar. From the information given, it costs $17 to rent a bike for 3 hours.

Thus, we have the following equations

17 = 3

1 = x

By crossmultiplying, we have

17x = 3

x = 3/17

x = 0.17647

Rounding to the nearest hundredth,

the number of hours of bike use that a customer gets per dollar is 0.18

The prevalence rate per 100,000 is 99.8%

We know that the prevalence rate is the proportion of persons in a population who have a particular disease over a specified period of time.

In this question, we have been given a data on breast cancer for the past year:

number of new cases: 1,774;

number of total cases: 4,192;

population: 5,977,906

We need to find the prevalence rate per 100,000

The total number of infected people = 1,774 + 4192

                                                             = 5966

Chance of infection in the whole population would be,

5,977,906/ 5966 ≈ 1002

This means, chances of having breast cancer is 1 in every 1002 people.

A prevalence rate is calculated by dividing total number of infected people by the total population. The result is then multiplied by 100,000

Now we calculate the prevalence rate per 100,000

= (5966 / 5,977,906) × 100,000

= 0.000998 × 100,000

= 99.8 %

Therefore, the prevalence rate per 100,000 is 99.8%

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I Hope it is correct

Step-by-step explanation:

The total number of sodas in the fridge is:

6 + 4 + 5 + 9 + 7 + 3 + 6 = 40

The number of NuGrapes or ginger ales is:

7 (NuGrapes) + 6 (Canada Dry ginger ales) = 13

The probability of selecting a NuGrape or a ginger ale is the number of favorable outcomes (selecting a NuGrape or a ginger ale) divided by the total number of possible outcomes (selecting any soda):

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 13 / 40

Probability = 0.325

So, the probability of selecting a NuGrape or a ginger ale is 0.325 or 32.5%.

Answer:

i don't have ideas

The hypothesis test suggests that there is not enough evidence to reject the claim made by the social media company that over 1 million people log onto their app daily, as the  t-value (-1.732) is less than the critical value (-2.429).

Null hypothesis, The true mean number of people who log onto the app daily is equal to or less than 1 million.

Alternative hypothesis, The true mean number of people who log onto the app daily is greater than 1 million.

Level of significance = 1%

We can use a one-sample t-test to test the hypothesis.

t = (X - μ) / (s / √n)

where X is the sample mean, μ is the hypothesized population mean, s is the sample standard deviation, and n is the sample size.

Substituting the values, we get

t = (998,946 - 1,000,000) / (23,876 / √65)

t = -1.732

Using a t-distribution table with 64 degrees of freedom and a one-tailed test at a 1% level of significance, the critical value is 2.429.

Since the calculated t-value (-1.732) is less than the critical value (-2.429), we fail to reject the null hypothesis. There is not enough evidence to support the claim that more than 1 million people log onto the app daily.

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Answer:

Solution given.

centre (h,k):(2,-1)

another point is (6,-1)

radius (r)=\( \sqrt{(6-2)²+(-1+1)²} \)=4

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x-2)²+(y+1)²=4²

(x-2)²+(y+1)²=16is a required equation of a circle.

Answer:

x² + y² - 4x + 2y - 11 = 0

Step-by-step explanation:

(x - h)² + (y - k)² = r²

h = the x-value of the center given

k = the y-value of the center given

r = radius

We know that;

h = 2

k = -1

r = 4

Now we can substitute in the values:

(x - 2)² + (y -(-1))² = 4²

(x - 2)² + (y + 1)² = 16

(x² - 4x + 4) + (y² + 2y + 1) = 16

=> x² - 4x + y² + 2y = 16 -4 - 1

=> x² - 4x + y² + 2y = 11

=> x² + y² - 4x + 2y = 11

=> x² + y² - 4x + 2y - 11 = 0 ⇒ Final Equation

I have attached the picture below of a circle of this equation, and it turns out exactly the same as the one shown in the question which tells us that the equation is correct!

Hope this helps!

Answer:

9

Step-by-step explanation:

x = 3^2

x = 3*3

x = 9

Answer: . 9

Step-by-step explanation:

Simplify both sides of the equation.

After ten weeks of practice, the number of missed shots is y = 1.

given the data,

A should be used to express the line's equation.

Now, x = practice weeks, and y = the number of missed shots.

And for x = 10 weeks, y = (-1/2)(10) + 6 with the slope of the line being m = -1/2

So , m = -1/2

Upon simplification, we obtain y = -5 + 6 y = 1.

So , the value of y is the number of missed shots which is y = 1

Thus, y = 1 represents the number of missed shots.

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The standard deviation of the sample is 200.

As per the data given:

The distribution of prices for a certain car model is approximately normal with a mean of $21,800 and a standard deviation of $400.

The mean of the data will be $21,800.

The standard deviation of the data will be $400

A random sample of 4 cars of the model is to be selected.

That is n = 4

Here we have to determine the standard deviation of the sample.

By examining the square root of the variance, standard deviation measures how far apart a set of data is from the mean.

Therefore the standard deviation of the Sampling distribution of \($\bar{x}$\) is:-

\($ \sigma_{\bar{x}}=\frac{\sigma}{\sqrt{n}} \\\)

\($\Rightarrow & \sigma_{\bar{x}}=\frac{400}{\sqrt{4}} \\\)

\($\Rightarrow & \sigma_{\bar{x}}=\frac{400}{2} \\\)

\(\Rightarrow & \sigma_{\bar{x}}\) = 200

Therefore the standard deviation of the Sampling distribution \($\bar{x}$\) is 200

Hence option (a) is the correct answer

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The area of the shaded sector is 4π square units.

To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.

Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.

Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.

The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.

Plugging in the values, we have A = (90/360) * π * 4².

Simplifying, A = (1/4) * π * 16.

Further simplifying, A = (1/4) * π * 16.

Canceling out the common factors, A = π * 4.

Hence, the area of the shaded sector is 4π square units.

Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.

In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.

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Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

By using these characteristics, you can analyze each equation and compare the properties with the given direction field pictures. This will help you in matching the equations with their respective direction field more accurately and effectively.

To match the equations with their direction field, follow these steps:

Set y equal to zero and observe the behavior of the derivative along the x-axis.

Set x equal to zero and observe the behavior of the derivative along the y-axis.

Consider the curve in the plane defined by setting y'=0. This corresponds to the points in the picture where the slope is zero.

Set y' equal to a constant other than zero to find the curve of points where the slope is that constant. These are called isoclines and can be used to construct the direction field picture by hand.

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a. The amount that will be paid based on the tax will be:

Michael =$16

Wayne = $12

b. When the sales tax amount to 1/7 of the original total of the two dinners, the amount will be $7.

c. When they decide to split the tax and tip the same ratio as the dinners, Michael pays $4 and Wayne pays $3.

The following can be deduced from the information given:

a. Total amount = $28

Original amount = $28 + $21 = $49

When it's divided equally, the amount paid will be:

Michael = 28/49 × 28 = $16

Wayne = 28/49 × 21 = $12

b. Sales tax and tip = 1/7 × $49 = $7

c. Splitting the tax will be:

Michael = 1/7 × $28 = $4

Wayne = 1/7 × $21 = $3

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The probability that Sue will sit next to Bob is 96/24 = 4. So, the odds are 4:1.

We need to find out the odds that Sue will sit next to Bob. There is a round table with five different people. Therefore, the total number of ways that five different people can be seated at a round table is (5 - 1)! = 4!.

Thus, there are 24 ways that these five different people can be seated around the table. Now, let's say Sue and Bob are sitting next to each other. Thus, there are 4! = 24 ways in which they can be seated around the table. Now, Sue and Bob can be treated as a single unit since they are sitting together. So, there are a total of 48 + 48 = 96 possible ways that Sue will sit next to Bob in a 5 person round table. There are 24 possible ways that 5 people can be seated around the table.

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The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.

These factors are often represented as the three sides of a triangle, with fraud being the result at the center.

Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.

In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.

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Answer:

1 pair of socks cost $6.99

Step-by-step explanation:

$27.96 divided by 4 = $6.99

Hope I helped :)

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Answer:

B

Step-by-step explanation:

In an isosceles trapezoid the upper base angles are congruent, thus

∠ G = ∠ D = 121° → B

Answer:

121

Step-by-step explanation:

i took the quiz

To prove that X(=0), we need to show that when X is a scalar function, its derivative with respect to time is zero.

Let's consider a scalar function X(t). The derivative of X(t) with respect to time is denoted as dX/dt. To prove that X(=0), we need to show that dX/dt = 0.

The derivative of a scalar function X(t) is computed as dX/dt = AX(t), where A is a constant matrix and X(t) is a vector function.

Since X(=0), the derivative becomes dX/dt = A(0) = 0. Thus, the derivative of X(t) is zero, which proves that X(=0).

Now, let's consider the second part of the question. We are given that X1, X2, and X3 are linearly independent solutions of the differential equation X'=AX. We need to prove that 2X1-X2+3X3 is also a solution of the same differential equation.

We can verify this by substituting 2X1-X2+3X3 into the differential equation and checking if it satisfies the equation.

Taking the derivative of 2X1-X2+3X3 with respect to time, we get:

d/dt (2X1-X2+3X3) = 2(dX1/dt) - (dX2/dt) + 3(dX3/dt)

Since X1, X2, and X3 are linearly independent solutions, we know that dX1/dt = AX1, dX2/dt = AX2, and dX3/dt = AX3.

Substituting these expressions, we get:

2(dX1/dt) - (dX2/dt) + 3(dX3/dt) = 2(AX1) - (AX2) + 3(AX3)

Using the properties of matrix multiplication, this simplifies to:

A(2X1-X2+3X3)

Thus, we can conclude that 2X1-X2+3X3 is also a solution of the differential equation X'=AX.

The proof shows that for a scalar function X(=0), the derivative is zero. Additionally, for the given linearly independent solutions X1, X2, and X3, the expression 2X1-X2+3X3 is also a solution of the differential equation X'=AX.

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Shanika ends up paying more for her utilities, and she paid $35.875 more than Vanesa.

1. Standard Use Plan

2. Interval Use Plan

3. Both women use 1,325 kWh for the given 30 day period

As given to us Shanika is using the Standard use plan, and her usage is  1,325 kWh. so,

        \(400\times 7.5\\=3,000\ \rm cent\)

        \(400\times 10\\=4,000\ \rm cent\)

        \((1325-800)\times 12.5\\= 525 \times 12.5\\= 6,562.5\ cent\)

The total bill of Shanika

\(3,000\cent + 4,000\ cent +6,562.5\ cent\\= 13,562.5\ cent\\= \$135.625\)

Thus, the total bill of Shanika is $135.625.

As given to us Vanesa is using the Interval use plan. Also, Vanesa uses 500 kWh during on-peak hours and 825 during off-peak hours.

       = Amount of electricity used x Rate of electricity

       = 500 kWh x 15 cents/kWh

       = 7,500 cent

       = Amount of electricity used x Rate of electricity

       = 825 kWh x 3 cents/kWh

       = 2,475 cent

The total bill of Vanesa

= 7,500 cent + 2,475 cent

= 9,975 cent

= $99.75

Thus, the total amount paid by Vanesa is $99.75.

Therefore, the amount paid by Shanika is more.

The difference between the bill amount of both the womens

= total bill of Shanika - total bill of Vanesa

= $135.625 - $99.75

= $35.875

Hence, Shanika ends up paying more for her utilities, and she paid $35.875 more than Vanesa.

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Answer:c

Step-by-step explanation: