Select the expression that is equivalent to (x-1)².

A x²-x+2

B.X²-2x+2

C. x²-x+1

D. x²-2x+1

Answer:

y= 30x

tep-by-step explanation:

Answer:

8.8 or 9 laps

Step-by-step explanation:

2 miles = 3520 yards

3520 / 400 = 8.8

But if you round it up, it's 9.

Hope that helps

Tyler needs to run 9 full laps to cover at least 2 miles.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

Given that a track is 400 yards around.

We have to find the number of full laps does tyler need to run if he wants to run at least 2 miles

Lets convert mile to yards

One mile is equal to 1760 yards

Now two miles is equal to 2×1760 yards

2 miles = 3520 yards

Since the track is 400 yards around

Tyler needs to run 3520/400

= 8.8 laps to cover 2 miles.

Therefore, Tyler needs to run 9 full laps to cover at least 2 miles.

To learn more about Unit of Measurement click:

https://brainly.com/question/15402847

#SPJ2

The area under the standard normal curve is 0.4374

From the question, we have the following parameters that can be used in our computation:

Distribution = standard normal curve

The area = between z = -2 and z = -0.1

First, we calculate the z-scores at z = -2 and z = -0.1

Using a z-table (see attachment), we have

z(-2) = 0.02275

z(-0.1) = 0.46017

The area is then calculated as

Area = 0.46017 - 0.02275

Evaluate the difference

Area = 0.4374

Hence, the area is 0.4374

Read more about z-scores at

https://brainly.com/question/29538019

#SPJ1

Each friend pay the bill 7.9133(approx.)

Given,

The expression is given :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Three friends ate lunch at a restaurant and divided the bill equally.

Now, According to the question:

The expression is :

(1.75+5.95)+(2.25+4.75)+(1.09+7.95) / 3

Calculate the sum or difference

=(7.7 + 7 + 9.04 )/ 3

=23.74 / 3

= 7.9133 (approx.)

Hence, Each friend pay the bill 7.9133(approx.)

Learn more about Division at:

https://brainly.com/question/10855043

#SPJ1

Answer:

64 = (66+2/3)x

x=0.96

Step-by-step explanation:

64 is 66 2/3 of 96

set up the proportion 64 over x = 66 2/3 over 100

cross multiply and youll have 6400 and 66 2/3 x

to find x, divide 6400 by 66 2/3 (aka 200/3)

you should get 96

hope i helped

(the answer can't be less than 64 since 64 is only part of the whole number)

The probability that neither roll is odd is 1/4.

When a pair of dice are rolled, each die can show an odd or even number, and there are a total of 36 possible outcomes (6 x 6) since each die has six possible outcomes.

There are 18 combinations of two dice that do not include an odd number (even-even), and so the probability of rolling an even number is 18/36  = 1/2.

Each die has the same probability of rolling an even or odd number, and so the probability of rolling an even number twice in a row (neither roll is odd) is

\((1/2)^2\) = 1/4.

Therefore, the probability of rolling a six-sided die twice in a row and not getting an odd number is 1/4 (25%).

Let E be the event of rolling an even number, and N be the event of rolling a number.

We need to find P(N'∩N')

i.e. the probability that the first roll is even and the second roll is even.

P(N') = 3/6P(N'∩N')

= P(N') * P(N')

= 3/6 x 3/6

= 9/36

= 1/4

For similar question on probability

https://brainly.com/question/24756209

#SPJ11

Answer:

Average speed = 100 km/h

Step-by-step explanation:

Given:

Total distance covered = 250 km

Total time taken = 8:30 am - 6:00 am = 2:30 hours = 2.5

Find:

Average speed.

Computation:

⇒ Average speed = Total distance covered / Total time taken

⇒ Average speed = 250 / 2.5

⇒ Average speed = 100 km/h

The complement of A has a probability of 0.044.

The occurrence that A does not occur is the complement of event A. A', often known as "not A," is used to indicate it. One less than the probability of A gives you the probability of A'.

P(A') = 1 - P(A)

In probability and statistics, the concept of the complement of an event is helpful because it enables us to calculate the probability of an event by calculating the probability of its complement and deducting it from 1. The probability of the complement may also, in some circumstances, be more easily determined than the probability of the initial occurrence.

To find the complement we subtract the probability with 1 as follows:

P(A') = 1 - P(A)

Thus,

P(A') = 1 - P(A) = 1 - 0.956 = 0.044

Hence, the complement of A has a probability of 0.044.

Learn more about complement of event here:

https://brainly.com/question/23528544

#SPJ1

The statement a base class cannot contain a pointer to one of its derived classes is false because a base class can indeed contain a pointer to one of its derived classes.

In object-oriented programming, a base class can have a pointer to one of its derived classes. This is known as upcasting or polymorphism. Upcasting allows for the flexibility of treating derived class objects as instances of the base class.

By using pointers, a base class can refer to derived class objects and access their member functions and variables. This enables the base class to work with different derived classes without needing to know their specific types.

Pointers to derived classes can be stored in base class member variables or passed as function parameters. This allows for dynamic binding and the ability to invoke overridden functions based on the actual derived class type at runtime.

This concept is fundamental to achieving polymorphism and code reusability in object-oriented programming languages like C++ and Java. It facilitates the implementation of inheritance hierarchies and the ability to work with objects of different derived classes through a common base class interface.

To know more about base class, refer here:
https://brainly.com/question/31667002
#SPJ11

Answer:

8 miles

Step-by-step explanation:

Answer:

Why are you wasting your points? LOL XD

Step-by-step explanation:

Answer:

Good

Step-by-step explanation:

For a Dot plot of time taken in math class by students in a 7th grade, the mean commute time is equal to the 23.75 minutes.

Mean is a statistical measures. It is calculated by the addition of all data values divided by number of data values. It is denoted by \(\bar X\).

That is \(\bar X = \frac{ \sum X_i}{ n}\), where

We have a Dot plot which represents time it takes students in a 7th grade math class to get to school every morning. We have to determine mean of compete time in minutes. See the above figure carefully, and concluded the value,

Time students

5 4

10 0

15 4

20 4

25 2

30 2

35 5

40 2

45 1

Using above mean formula, \(\bar X = \frac{ (4×5+ 0 ×10+ 15×4 + 20×4 + 25×2 + 30×2 + 35×5 + 40×2 + 45× 1)}{24}\)

= 23.75

Hence, mean value is 23.75 minutes.

For more information about mean, visit :

https://brainly.com/question/12636890

#SPJ4

Complete question:

The above figure complete the question

the dot plot below represents how long it takes students in a 7th grade math class to get to school every morning. commute time commute time minutes what was the mean commute time? minutes

The following statements are true regarding the check of conditions for this test: This is a chi-square test for association. The random condition is met because Keith selected a random sample of songs. The 10% condition is met because 125 is less than 10% of all songs. The large counts condition is met because the smallest expected count is 5.

In this scenario, Keith conducted a chi-square test to determine if there is convincing evidence of an association between key (major or minor) and the emotional classification of a song (happy or sad). To ensure the validity of the chi-square test, it is necessary to check the conditions before performing the test. First, it is appropriate to use a chi-square test for association in this case as we are analyzing the relationship between two categorical variables: key and emotion.

Next, the random condition is met because Keith selected a random sample of songs. This helps ensure that the sample is representative of the population and reduces bias. The 10% condition is also met since the sample size of 125 songs is less than 10% of all songs. This condition ensures that the sample size is small enough relative to the population size, preventing the sample from significantly influencing the population.

Finally, the large counts condition is met because the smallest expected count is 5. This condition is important for the validity of the chi-square test as it ensures that the expected counts in each cell are not too small, which can lead to unreliable results. Therefore, based on these conditions, all the necessary requirements for performing the chi-square test for association are satisfied.

Learn more about chi-square test here: brainly.com/question/14082240

#SPJ11

Answer:

6

Step-by-step explanation:

A constant is a term without a variable.

Every other number has a variable (x,y) to it except for 6.

Feel free to save this for whenever you get stuck on things like this! I know this section is hard.

In the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have an expression:

\(\rm 8xy-9x^2+y-5x+6\)

Let's denote it with f(x,y)

\(\rm f(x,y) =8xy-9x^2+y-5x+6\)

As we know the constant term means which cannot be changed that values are fixed or fixed quantity.

From the above expression, the constant value in the expression is 6

Thus, in the expression 8xy − 9x^2+ y − 5x +6 the constant term is 6 which is a fixed quantity or cannot be changed.

Learn more about Polynomial here:

brainly.com/question/17822016

#SPJ4

Answer:

371.26

Step-by-step explanation:

Using trig we can do tan(68)*5 to find the height of the parallelogram, after this we can do the height times 30 to find the answer

Conducting interviews with randomly chosen students can provide valuable feedback and help in improving the statistics course. This data-driven approach can lead to evidence-based changes that enhance student satisfaction and learning outcomes.

To improve a statistics course, it would be beneficial to interview randomly chosen students about their attitudes toward the class. This would provide valuable insights into the strengths and weaknesses of the course, allowing for targeted improvements. By selecting students randomly, we can ensure a representative sample and reduce potential biases.

During the interviews, it would be important to ask open-ended questions to encourage honest and detailed responses. Through these interviews, we can gain an understanding of students' perceptions of the course content, teaching methods, and overall engagement.

Based on the information gathered, adjustments can be made to address any identified issues and enhance the learning experience.

To know more about interviews visit:

brainly.com/question/31208254

#SPJ11

Conducting interviews with randomly chosen students can provide valuable feedback and help in improving the statistics course. This data-driven approach can lead to evidence-based changes that enhance student satisfaction and learning outcomes. The correct option A.

To improve a statistics course, it would be beneficial to interview randomly chosen students about their attitudes toward the class. This would provide valuable insights into the strengths and weaknesses of the course, allowing for targeted improvements. By selecting students randomly, we can ensure a representative sample and reduce potential biases.

During the interviews, it would be important to ask open-ended questions to encourage honest and detailed responses. Through these interviews, we can gain an understanding of students' perceptions of the course content, teaching methods, and overall engagement.

Based on the information gathered, adjustments can be made to address any identified issues and enhance the learning experience.

To know more about interviews visit:

brainly.com/question/31208254

#SPJ11

The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.

a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.

b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.

c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.

By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.

Learn more about depreciation here:
https://brainly.com/question/17827672
#SPJ11

Answer:

its A

Step-by-step explanation:

A

Answer:

The congruent shapesbto the shape I are the shapes II and V

Formula of parabola for given values is F(x) = 7.5(x^2-15.7x+61.32)

The general equation of a parabola in math is: y = a(x-h)^2 + k ,where (h,k) denotes the vertex. The standard equation of a the parabola is y^2 = 4ax.

We have, horizontal intercepts x=8.4 and x=7.3, passes through point(0, 8.2)

As we parabola is quadratic function,

f(x) = a(x-8.4)(x-7.3)

It is passing through the point (0, 8.2)

8.2 = a(-8.4)(-7.3)

a = 8.2/61.32 =7.5 (approx)

Now, equation of parabola is

F(x) = 7.5(x-8.4)(x-7.3)

f(x) = 7.5(x^2-7.3x-8.4x+61.32)

F(x) = 7.5(x^2-15.7x+61.32)

Thus, required equation of parabola is F(x) = 7.5(x^2-15.7x+61.32).

To know more about parabola visit:

brainly.com/question/21685473

#SPJ4

Answer:

it shows that a negitive and positive get rid of each other like 1+(-1)=0

so it shows that if you take -5 away from -6 your geting rid of 5 so -1

Hope This Helps!!!

Answer:

Your answer is 12!

Step-by-step explanation:

The number of servings of oatmeal are there in the package are 12.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, a package contains 4 cups of oatmeal.

There is 1/3 cup of oatmeal in each serving.

Now, total number of servings = 4 ÷1/3

= 4×3

= 12

Therefore, the number of servings of oatmeal are there in the package are 12.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

Yes, even if you don't know how many handshakes there were overall, you can be sure that there were at least two guests who had the same number.

Assume that the gathering will have n visitors. With the exception of oneself, each person may shake hands with n-1 additional individuals. For each guest, this means that there could be 0, 1, 2,..., or n-1 handshakes.

There will be the following number of handshakes if each guest shakes hands with a distinct number of persons (i.e., no two guests will have the same number of handshakes):

0 + 1 + 2 + ... + (n-1) = n*(n-1) divide by 2

The well known formula for the sum of the first n natural numbers . The paradox arises if n*(n-1)/2 is not an integer since we know that the actual number of handshakes must be an integer. The identical number of handshakes must thus have been shared by at least two other visitors.

Learn more about arithmetic progressions at brainly.com/question/24592110

#SPJ4        

Answer:

Step-by-step explanation:

(6x-51)*(2x+61)

=6x(2x+61)-51(2x+61)

=\(=12x^{2} +366-102x-3111\\=12x^{2} -102x+366-3111\\=12x^{2} -102x-2745\)

HOPE THIS HELPS!!!!

To find the equation of the sphere tangent to the plane 2x + 3y - 6z = 5 with center C(-2, 3, 7), we need to find the radius of the sphere. The equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

The distance from the center of the sphere to the plane is equal to the radius. We can use the formula for the distance between a point (x, y, z) and a plane Ax + By + Cz + D = 0:

Distance = |Ax + By + Cz + D| / sqrt(A^2 + B^2 + C^2)

In this case, the plane equation is 2x + 3y - 6z - 5 = 0. Plugging in the coordinates of the center C(-2, 3, 7) into the formula, we have:

Distance = |2(-2) + 3(3) - 6(7) - 5| / sqrt(2^2 + 3^2 + (-6)^2)

= |-4 + 9 - 42 - 5| / sqrt(4 + 9 + 36)

= |-42| / sqrt(49)

= 42 / 7

= 6

So, the radius of the sphere is 6.

The equation of a sphere with center C(-2, 3, 7) and radius 6 is:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 6^2

Simplifying further, we have:

(x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36

Therefore, the equation of the sphere is (x + 2)^2 + (y - 3)^2 + (z - 7)^2 = 36.

Learn more about radius here

https://brainly.com/question/24375372

#SPJ11

Answer:

1/-32

Step-by-step explanation:

As my first step, I turn the problem into a fraction since the exponent is negative.

The problem is now 1/-2^5

Now that the exponent is positive, you can finish the problem by finding out what -2 raised to the fifth power is which is -32.

The expression \((-2)^{-5}\) in fraction form will be equal to \(\frac{-1}{32}\) .

A mathematical expression is given which is \((-2)^{-5}\).

We have to change this to the fraction in simplest form.

What do you mean by fractions ?

A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.

As per the question ;

The mathematical expression is ; \((-2)^{-5}\).

Let's change \((-2)^{-5}\) as a fraction in simplest form.

As the power to number is negative , while changing the number into fraction form , we will invert it , i.e.,

\(\frac{1} {(-2)^{5}}\)

= \(\frac{-1}{32}\)

Thus , the expression \((-2)^{-5}\) in fraction form will be equal to \(\frac{-1}{32}\) .

To learn more about fractions click here ;

https://brainly.com/question/21476745

#SPJ2

Answer:

9 x  +  6 y

Step-by-step explanation:

The factor form of the quadratic equations are listed below:

Case 13: (b - 4) · (b - 2)

Case 14: (n + 4) · (n + 2)

Case 15: 2 · (n + 9) · (n - 6)

Case 16: 5 · (n + 2)²

Case 17: 2 · (k + 5) · (k + 6)

Case 18: (a - 10) · (a + 9)

Case 19: (p + 10) · (p + 1)

Case 20: 5 · (v - 2) · (v - 4)

Case 21: 2 · (p + 2) · (p - 1)

Case 22: 4 · (v - 2) · (v + 1)

Case 23: (x - 10) · (x - 15)

Case 24: (v - 5) · (v - 2)

Case 25: (p + 6) · (p - 3)

Case 26: 6 · (v + 10) · (v + 1)

In this problem we find quadratic equations of the form a · x² + b · x + c, whose factor form is introduced below:

a · x² + b · x + c = a · x² + a · (- r₁ - r₂) · x + a · r₁ · r₂ = a · (x - r₁) · (x - r₂)

Where r₁, r₂ are real roots.

Now we proceed to present the factor form of each quadratic equation:

Case 13

b² - 6 · b + 8 = (b - 4) · (b - 2)

Case 14

n² + 6 · n + 8 = (n + 4) · (n + 2)

Case 15

2 · n² + 6 · n - 108 = 2 · (n² + 3 · n - 54) = 2 · (n + 9) · (n - 6)

Case 16

5 · n² + 10 · n + 20 = 5 · (n² + 2 · n + 4) = 5 · (n + 2)²

Case 17

2 · k² + 22 · k + 60 = 2 · (k² + 11 · k + 30) = 2 · (k + 5) · (k + 6)

Case 18

a² - a - 90 = (a - 10) · (a + 9)

Case 19

p² + 11 · p + 10 = (p + 10) · (p + 1)

Case 20

5 · v² - 30 · v + 40 = 5 · (v² - 6 · v + 8) = 5 · (v - 2) · (v - 4)

Case 21

2 · p² + 2 · p - 4 = 2 · (p² + p - 2) = 2 · (p + 2) · (p - 1)

Case 22

4 · v² - 4 · v - 8 = 4 · (v² - v - 2) = 4 · (v - 2) · (v + 1)

Case 23

x² - 15 · x + 50 = (x - 10) · (x - 15)

Case 24

v² - 7 · v + 10 = (v - 5) · (v - 2)

Case 25

p² + 3 · p - 18 = (p + 6) · (p - 3)

Case 26

6 · v² + 66 · v + 60 = 6 · (v² + 11 · v + 10) = 6 · (v + 10) · (v + 1)

To learn more on quadratic equations: https://brainly.com/question/22364785

#SPJ1

Multiple regression analysis is applied when analyzing the relationship between one dependent variable and two or more independent variables. The goal is to determine the extent to which the independent variables predict the dependent variable.

Multiple regression analysis is a statistical technique used to explore and quantify the relationship between a dependent variable and multiple independent variables. It allows researchers to examine how changes in one or more independent variables impact the dependent variable, while controlling for the effects of other variables. By estimating the coefficients for each independent variable, the analysis provides insights into the strength, direction, and significance of their relationships with the dependent variable. This method is commonly employed in various fields, such as economics, social sciences, and business, to understand complex relationships and make predictions based on the interplay of multiple factors.

To know more about Multiple regression analysis , visit:

https://brainly.com/question/30011167

#SPJ11