a variable subtracted from the left-hand side of a greater-than-or-equal to constraint to convert the constraint into an equality is known as a(n)

Answer:

only construction

Step-by-step explanation:

it must have 4 sides

The probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

What is probability?

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of

Total possible outcomes= 36

Probability that either doubles are rolled or the sum of the dice is 10

= 6 (doubles) + 2 (sum is 10, without double (5,5))

=8

P( either doubles are rolled or the sum of the dice is 10)= 8/36

                                                                                           = 2/9

Thus, probability that either doubles are rolled or the sum of the dice is 10 is 2/9.

To learn more about probability from the given link  

https://brainly.com/question/24756209

#SPJ4

Answer and explanation:

Find attached

The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

Learn more on margin of error here:

https://brainly.com/question/29326767

#SPJ1

The answer choice in which case the equation has no solution are; Choice A ; 40x+40=40x+20 and Choice C; -20x+40=-20x+20.

A system of linear equations is determined to have no solutions when the variable coefficients diminish upon evaluation and hence, the value of the variable can not be determined.

Hence, Choices A and C; in which case; the coefficients of variable X amount to 0 upon evaluation are equations with no solution.

Read more on no solution equation;

https://brainly.com/question/1792644

#SPJ1

The algebraic expression for the scenario is 15 + x = 60

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

Amount saved up = $15

Cost of item = $60

Amount gifted by your grandma = x

The above parameters means that the mathematical statement is an equation statement

So, we have the following representation

Amount saved up + Amount gifted by your grandma = Cost of item

Substitute the known values in the above equation, so, we have the following representation

15 + x = 60

Hence, the algebraic expression is 15 + x = 60

The question does not require that the equation be solved

However, when it is solved, we have:

15 + x = 60

Subtract 15 from both sides

x = 45

So, the amount is 45

Read more about expression at

https://brainly.com/question/4344214

#SPJ1

Given:

The objective is to find the line of reflection at which the triangle carries onto itself.

Explanation:

To obtain the reflection of the rectangle on itself, it must reflect over the midpoint of each parallel side of the rectangle.

The line passing through the midpoint of the rectangle in the x-axis is x= 2.

Similarly, the line passing through the midpoint of the rectangle in the y-axis is y = 1/2.

Thus, the reflecting lines are x = 2 and y = 1/2.

Hence, option (A) is the correct answer.

The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```

It looks like you are trying to create an integer array in Java called "hours" and initialize it with the values 8, 12, and 16. The given statement has incorrect syntax.
Declare the integer array using "int[]" followed by the variable name "hours".

This tells the Java compiler that you want to create an array of integers called "hours".
Use the assignment operator "=" to assign values to the array.
Enclose the values you want to assign to the array within curly braces "{" and "}" and separate each value with a comma.
The corrected statement should look like this:
```java
int[] hours = {8, 12, 16};
```
Now, the "hours" integer array is initialized correctly with the given values.

The syntax for declaring and initializing an integer array in Java is:

```java
data Type[] array

Name = {value1, value2, value3, ...};
```
In this case, "data Type" is "int", "array

Name" is "hours", and the values are 8, 12, and 16.
Remember to keep your code clean and concise to avoid syntax errors and make it easier for others to understand.

For similar question on statement.

https://brainly.com/question/26134656

#SPJ11

We can see that the statement is not always true for any vectors u and v in V3.

The statement is not always true.

The cross product of vectors u and v in V3 is a vector that is orthogonal to both u and v. That is,

u x v ⊥ u and u x v ⊥ v

However, this does not necessarily mean that (u x v) * u = 0 for all u and v in V3.

For example, let u = <1, 0, 0> and v = <0, 1, 0>. Then,

u x v = <0, 0, 1>

(u x v) * u = <0, 0, 1> * <1, 0, 0> = 0

So in this case, the statement is true. However, consider the vectors u = <1, 1, 0> and v = <0, 1, 1>. Then,

u x v = <1, -1, 1>

(u x v) * u = <1, -1, 1> * <1, 1, 0> = 0

So in this case, the statement is also true. However, if we take the vector u = <1, 0, 0> and v = <0, 0, 1>, then

u x v = <0, 1, 0>

(u x v) * u = <0, 1, 0> * <1, 0, 0> = 0

So in this case, the statement is true as well.

However, if we take the vector u = <1, 1, 1> and v = <0, 1, 0>, then

u x v = <1, 0, 1>

(u x v) * u = <1, 0, 1> * <1, 1, 1> = 2

So in this case, the statement is not true.

Therefore, we can see that the statement is not always true for any vectors u and v in V3.

Learn more about vectors

brainly.com/question/29740341

#SPJ11

If constraints are added to an LP model, the feasible solution space will generally decrease.

Linear Programming or LP is a mathematical technique used to determine the best possible outcome or solution from a given set of conditions or constraints.

Linear programming involves two variables, i.e., decision variables and objective variables, and a set of constraints. The objective variables are the one which we want to optimize or maximize or minimize.

In the process of optimization, the feasible solution space is an important term. The feasible solution space is the region that satisfies all the constraints.

Therefore, adding a constraint to an LP model will restrict or decrease the feasible solution space.

Therefore, If constraints are added to an LP model, the feasible solution space will generally decrease.

To learn more about feasible solution from the given link.

https://brainly.com/question/28258439

#SPJ11

Bryant Industries uses forecasting to estimate the number of orders that will be placed by their customers. The table below gives the sales figures for the last four months.Month2345Sales92491942004There are different forecasting techniques used by companies like Bryant Industries to predict future sales.

One of the most widely used methods is the time-series method. This method is particularly useful when the demand for a product or service changes over time and when there are no external factors that affect the sales. In this case, we can use a time-series method called the moving average to estimate future sales. The moving average is a time-series method that uses the average of past sales data to estimate future sales. It is particularly useful when there are no external factors that affect the sales. In this case, we can use a 3-month moving average to estimate future sales. The 3-month moving average is calculated as follows: (924 + 919 + 420) / 3 = 754.33. This means that we can expect sales of around 754 units next month. The moving average method is easy to use and is a good way to get a quick estimate of future sales. However, it has some limitations. For example, it does not take into account external factors that may affect sales, such as changes in the economy or in consumer behavior.

In conclusion, Bryant Industries can use the moving average method to estimate future sales. However, they should also consider other factors that may affect sales, such as changes in the economy or in consumer behavior. By doing so, they can make more accurate forecasts and improve their overall performance.

To learn more about time-series method visit:

brainly.com/question/32443421

#SPJ11

Answer:

solution:Here

Given,

Load=800 N

Load distance=2cm

Effort distance=260cm

Effort applied=?

We know that,

Load × Load distance = Effort × Effort distance

or, 800×2 = e × 260

or,1600 = 260e

or,e = 1600/260

Thus, e = 6.15 N

Hence, The effort applied = 6.15 N

Hope this answer helped you..

Please mark me as brainliest

Answer:

-162

Step-by-step explanation:

Answer:

-162

Step-by-step explanation:

because -162 is negative

The set that represents the intersection of sets B and C is option d. {1, d, e}.

The intersection of two sets, B and C, consists of the elements that are common to both sets. Looking at the given sets, B = {1, {2, 3}, d, e} and C = {1, 3, d, e}, we can identify the elements that are present in both sets.

Set B contains the elements 1, {2, 3}, d, and e. Set C contains the elements 1, 3, d, and e. To find the intersection of B and C, we need to identify the elements that are present in both sets.

From the given sets, we can see that the elements {2, 3} and 3 are only present in set B and not in set C. Therefore, they are not part of the intersection.

The elements that are common to both sets B and C are 1, d, and e. These elements are present in both sets B and C. Hence, the intersection of B and C is {1, d, e}.

Therefore, option d. {1, d, e} represents the set B ∩ C.

Learn more about set here:

https://brainly.com/question/30705181

#SPJ11

3 is the square root of nine.

The square root of a number is the factor that we can multiply by itself to get that number. The symbol for square root is \sqrt{ } ​square root of, end square root . Finding the square root of a number is the opposite of squaring a number.

To find the fraction square root, first, find the square root of the numerator and then find the square root of denominator. After finding the square root values, simplify the fraction. For example, √(4/16), can be written as √4/√16.

(3)^2 = 9

Learn more about Square Root on:

https://brainly.com/question/11388449

#SPJ4

Fractions can be defined as the representation of a part of a whole. A fractions consists of the numerator and the denominator.

let f(x) = \(\frac{p}{q}\)

then 'p' represents the numerator; while 'q' represents the denominator;

where p and q belong to integers for simple fractions, while when p and q belong to other sets they can from complex fractions.

To convert a fraction into an integer we need to multiply the fraction with the the denominator so that it cancels out leaving only the numerator behind.

For fractions present in equations to get rid of all the fractions we new to multiply the equation by the LCM of the denominator of all the fractions.

Where LCM is the least common multiple.

To give an example:

let y = \(\frac{3}{4}\)X + \(\frac{9}{5}\)

Then the LCM for 4 and 5 will be 20;

as factor of 4 are 1,2 and that of 5 are 1,5

then to eliminate the fractions from the equation

Multiplying both sides by 20

y x 20= \(\frac{3}{4}\)X x 20 + \(\frac{9}{5}\) x 20

20y= 3 x 5X + 9 x 4

20y = 15X + 36

Learn more about Fractions at:

brainly.com/question/28827945

#SPJ4

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units.

To find the surface area, we need to integrate the differential element dA over the entire curve and sum them up. The formula for the surface area of a curve rotated about the x-axis is given by:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx,

where [a,b] represents the interval over which the curve is defined. In this case, since the curve is given by y = x^3 / 6, we can rewrite it as y = (1/6)x^3.

To calculate the surface area, we need to find dy/dx:

dy/dx = d/dx [(1/6)x^3] = (1/6) * 3x^2 = (1/2)x^2.

Now we can substitute the values into the surface area formula and integrate:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx

= ∫[a,b] 2π(x^3 / 6)√(1 + ((1/2)x^2)^2) dx

= π/3 ∫[a,b] x^3√(1 + (1/4)x^4) dx.

We need to determine the limits of integration [a,b]. Since the curve is not specified, we assume that the curve starts from x = 0. Therefore, the limits of integration are [0, c].

Now we can integrate the expression:

A = π/3 ∫[0,c] x^3√(1 + (1/4)x^4) dx.

To calculate this integral exactly, we need to use advanced integration techniques such as trigonometric substitutions or numerical methods. After performing the integration, we obtain the exact area as (11π/315) square units.

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units. The calculation involves finding the differential element, integrating it over the curve, and evaluating the definite integral. The use of calculus allows us to determine the precise surface area.

To know more about integration, visit;

https://brainly.com/question/31954835
#SPJ11

Answer:

6 3/4 yw

Step-by-step explanation:

Answer:

21 years

Step-by-step explanation:

For this problem, you only need to divide 6,825 by 325.

6,825/325=21

21 years

Answer:

2) 10.1

Step-by-step explanation:

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

x<-5

Step-by-step explanation:

-5(x+7)<-10  Distributive Property

-5x-35<-10  Add 35 on both sides

-5x<25        Divide both sides by -5

x<-5

Hope this helped!

Answer:

see below

Step-by-step explanation:

2^30

-------

8^9

Rewriting

8^9

2^3 ^ 9

We know a^b^c = a^(b*c)

2^(3*9) = 2^27

2^30

-------

2^27

We know a^b / a^c = a^(b-c)

2^(30-27) = 2^3

Assuming you mean 2^x

2^3 = 2^x

x=3

If you mean 2x

2^3 = 8

8 = 2x

Divide by 2

4 =x

\(\huge\text{Hey there!}\)

\(\mathsf{\dfrac{2^{30}}{8^9}=2x}\)

\(\mathsf{2^{30}}\\\mathsf{= \bf 1,073,741,824}\\\\\mathsf{8^9}\\\mathsf{= \bf 134,217,728}\)

\(\mathsf{\rightarrow \dfrac{1,073,741,824}{134,217,728}= 2x}\\\\\\\mathsf{\dfrac{1,073,741,824}{134,217,728}= \bf 8}\\\\\\\mathsf{\rightarrow \ 8 = 2x}\\\\\\\\\large\textsf{TURN\ the\ EQUATION\ around}\\\\\\\mathsf{\rightarrow\ 2x = 8}\\\\\\\large\textsf{DIVIDE 2 to BOTH SIDES}\\\\\\\mathsf{\dfrac{2x}{2}=\dfrac{8}{2}}\\\\\\\large\textsf{CANCEL out: }\mathsf{\dfrac{2}{2}}\large\textsf{ because it gives you 1}\\\\\\\large\textsf{KEEP: }\mathsf{\dfrac{8}{2}}\large\textsf{ because it gives you the answer of x}\)

\(\mathsf{x = \dfrac{8}{2}}\\\\\\\mathsf{x = 8\div 2}\\\\\\\mathsf{x = \bf 4}\\\\\\\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 4}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

54  pages are needed to hold all of his cards , if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards

Ricky has 648 cards , and each page of the album holds 12 cards. Which means, if each page holds 12 cards; One page will hold 12 cards, the second page, another 12 cards and so on.

Hence, 2 pages will hold 12+12 cards which is 24 cards. 3 pages will hold, 12+12+12 = 36 cards

Now, to get how much pages will hold 648 cards, we divide 648 by 12

648/12= 54 pages

Hence, if  Ricky has 648 baseball cards he wants to put them in an album if each page of the album holds 12 cards then 54  pages are needed to hold all of his cards

learn more about of baseball cards here

https://brainly.com/question/15069093

#SPJ4

On solving the provided question, we can say that - The equation which does not have zeros  at -1 and 4 is = G f(x) = 2x² + 6x - 8

A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. Ax2 + bx + c = 0, where a, b, and c are constants or numerical coefficients, is one of the common formulae for resolving quadratic equations.

Given,

F f(x)=x²-3x - 4

G f(x) = 2x² + 6x - 8

H f(x) = -x² + 3x + 4

J f(x) = 2x² - 6x - 8

The equation which does not have zeros  at -1 and 4 is -

G f(x) = 2x² + 6x - 8

To know more about quadratic equation visit:
https://brainly.com/question/17177510

#SPJ1

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

John drove 235 miles in 5 hours. Then the speed of the John will be

Speed = 235 / 5

Speed = 47 miles per hour

If he continued at that same rate. Then the time to travel 376 miles will be given as,

47 = 376 / Time

Time = 376 / 47

Time = 8 hours

The speed John will be 47 miles per hour. Then the time to travel 376 miles will be 8 hours.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ1

Answer:8

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

\(sin(x)=\frac{10}{16}\\ x=sin^{-1} (\frac{10}{16})\\ x=38.682....\\x=39\)

Answer:

No and yes. it depends on what type of function you are looking for this will be a Linear Function.