A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 will be selected?

a. X1 + X2 + X3 + X4 = 1
b. X1 + X2 + X3 + X4 = 1
c. X1 + X2 + X3 + X4= 1
d. X1 + X2 + X3+ X4= 0

Answers

Answer 1

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. [tex]X_1+X_2+X_3+X_4=1[/tex]

b. [tex]X_1+X_2+X_3+X_4\leq 1[/tex]

c. [tex]X_1+X_2+X_3+X_4\geq 1[/tex]

d. [tex]X_1+X_2+X_3+X_4\geq 0[/tex]

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

[tex]X_1+X_2+X_3+X_4=1[/tex]

Therefore, the correct option is (a).


Related Questions

If PO and RS intersect to form four right angles, which statement is true?
O A. POIRS
O B. PO - RS
O C. PO and RS are parallel
O D. PO and RS are skew
PEASE HELP

Answers

Answer

its A

Step-by-step explanation:

The length of PQ is perpendicular to RS. The correct option is A.

What is geometry?

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

Two geometric objects are perpendicular in elementary geometry if they intersect at a right angle. The perpendicular symbol can be used to represent the condition of perpendicularity graphically. It can be defined between two lines, a line and a plane, or two planes.

Given that the PO and RS intersect to form four right angles. If PO and RS intersect to form four right angles, the side PQ should be perpendicular to the side RS.

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How many lines of symmetry does the symbol for a state capital have?

Answers

A diamond symbol has two lines of symmetry.

The solution is:

The figure has 4 lines of symmetry.

- A vertical line through the middle of the figure.

- A horizontal line through the middle of the figure.

- The two diagonals through the figure are lines of symmetry too.

What is line of symmetry?

In mathematics, reflection symmetry, line symmetry, mirror symmetry, or mirror-image symmetry is symmetry with respect to a reflection. That is, a figure which does not change upon undergoing a reflection has reflectional symmetry. In 2D there is a line/axis of symmetry, in 3D a plane of symmetry.

here, we have,

Explanation

Lines of symmetry refer to lines that can be drawn on figures and the figure on either sides of the line will be mirror images of each other.

For example, for this figure given, if a vertical line is drawn straight through the middle of the figure, the two resulting figures on either sides of the vertical line will be mirror images of each other.

So, the other lines of symmetry for this include

- A horizontal line through the middle of the figure

- The two diagonals through the figure are lines of symmetry too.

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the perimeter of rectangle math is 297 cm. the ratio of the length to width is 3:8. what is the width of the rectangle?

Answers

Answer:

Width = 108 cm

Step-by-step explanation:

Perimeter =  2 x (length + width)

297 = 2 x (length + width)

148.5 = Length + width

Ratio of Length to Width = 3 : 8

Sum of ratio = 11

[tex]Length = \frac{3}{11} \times 148.5 = 40.5 \ cm\\\\Width = \frac{8}{11} \times 148.5 = 108 \ cm[/tex]

HELP ASAP. Find the set.

Answers

Given:

The given sets are:

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]A=\{x|x\text{ is an odd natural number and }x<10\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]C=\{x|x\in N\text{ and }3<x<5\}[/tex]

To find

The set [tex]B\cap U[/tex].

Solution:

We have,

[tex]U=\{x|x\in N\text{ and }x<10\}[/tex]

[tex]U=\{1,2,3,4,5,6,7,8,9\}[/tex]

[tex]B=\{x|x\text{ is an even natural number and }x<10\}[/tex]

[tex]B=\{2,4,6,8\}[/tex]

Now, [tex]B\cap U[/tex] is the set that contains all the common elements of both sets B and U.

[tex]B\cap U=\{2,4,6,8\}[/tex]

[tex]B\cap U=B[/tex]

Therefore, the correct option is A.

Calculate the rate of change for the following data

Answers

The correct answer is C

If triangle ABC is reflected across the y-axis and then rotated 90 degrees clockwise about the origin, what would the coordinates of point A’ of the transformed triangle be?

Answers

Answer:

A' (2,-1) B' (4.-1) C' (1,-4)

Step-by-step explanation:

Answer:

(-2,-1)

Step-by-step explanation:

¿Cual es la fórmula del trapecio?

Ayuda plis

Answers

Answer:

Por lo tanto, el área de la fórmula de trapecio se da como: Área de un trapecio, A = h (a + b) / 2 unidades cuadradas. "h" es la altitud o altura. Sea a y b la longitud de los lados paralelos de un trapecio ABCD, como a es la longitud de la base y b es la longitud del lado paralelo a a.

Step-by-step explanation:

What would the next figure in the geometric pattern below be?

Answers

Answer:

C.

Step-by-step explanation:

Pls help, i just need Jonah's

Answers

Answer:

they are just diffrent varibless of numbers

Step-by-step explanation:

in a fruit basket there were 24 oranges and the rest were lemos if 20% of fruits were lemons how many fruits were there altogether

Answers

Answer:

30

Step-by-step explanation:

.2(24 + L) = L

.48 + .2L = L

.48 = .8L

6 = L

24 + 6 = 30

Có bao nhiêu hoán vị {1.2….9} mà 4,5,6 không đứng cạnh nhau theo thứ tự tăng dần

Answers

Answer: razon de ser

Step-by-step explanation:

Tu eres como agua Clara que lluvi del suelo


The height of a cylinder is 10 yards. The volume of the cylinder is 1,540 cubic yards. What is the radius of the cylinder? Use 22/7 or 3.14 for pie

Answers

Answer:

Radius ≈ 7 yd

Step-by-step explanation:

Height = 10

Volume = 1540

Missing radius

Use the formula and work backwards

Formula : πr²h

Plug in the given info:

1540 = 3.14 * r² * 10

Work backwards:

1540/10 = 3.14 * r²

154 = 3.14 * r²

154/3.14 = r²

49.044 = r²

√49.044 ≈ 7

Radius = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

If G = {(-1, 7),(-8, 2),(0, 0),(6, 6)), then the range of G is

(7, -1),(2, -8),(0, 0),(6, 6)}

(-8,-1, 0,6)

(0, 2, 6, 7)

Answers

9514 1404 393

Answer:

  (0, 2, 6, 7)

Step-by-step explanation:

The range is the list of 2nd numbers in the ordered pairs:

  (0, 2, 6, 7)

this circle has a diameter of 5 inches which of these measurements is closest to the circumference of the circle 15.7 7.85 31.4 19.625

Answers

Answer:

The closest measurement is 15.7

Step-by-step explanation:

The formula for circumference is [tex]2\pi r[/tex]

The diameter is double the radius, so to get the radius we divide by 2.

5 divided by 2 is 2.5

Knowing "r" is 2.5 we can plug that into our equation and solve.

2 · [tex]\pi[/tex] · 2.5 ≈ 15.71

The closest measurement is 15.7

The product of a number n and 2 is 2. 50 POINTS

Answers

Answer: The equation is 2n = 2

Karim had a packet of 200 chocolates. He gave 35% of them to his sister. How many chocolates were left with him?

Answers

Answer:

Karim had 130 chocolates left.

Step-by-step explanation:

The quick way to do this is to notice that if he gave away 35% of his chocolates, he must have 65% left. That comes about by doing

100% (which is what he started with) - 35% = 65%

65% of 200            Change 65% into a fraction

65/100 * 200          Multiply 200 * 65

13000 / 100            Divide by 100

130

Answer:

130 left

Step-by-step explanation:

35% of 200 chocolates is equal to 70 chocolates.

200-70=130 chocolates

4-2x=22 relationship can be written as

Answers

Answer:X=-9

Step-by-sep explanation:

4-2X=22

Move towards

⇒-2X=22-4

Multiply -1

⇒2X=-18

Divide by two

⇒X=-9


If x) = -3x - 5 and g(x) = 4x - 2, find (f + g)(x).

A. (1+ g)(x) = -x + 3
B. (1+0)(x) = x - 7
C. (1+ g)(x) = 7x - 7
D. (1+)(x) = -7x-3

Answers

Answer:

 (f + g)(x) = x - 7    (Answer B)

Step-by-step explanation:

To find  (f + g)(x)  add together the like terms of f(x) and g(x):

(f + g)(x) = -3x - 5 + 4x - 2, or

 (f + g)(x) = x - 7    (Answer B)

What is an equation that is true for all values of the variable

Answers

Answer:

x=x

Step-by-step explanation:

Use first principal to determine the equation of tangent to f(x)= 3x^2-6 Answer please

Answers

Answer:

final answer:

y-1= 3x_6

To solve our given problem, we must find the equation of the tangent line of the function f(x)=(x−1)3, at x=2.

.

.

PLZ HELP ASAP !! WILL MARK THE BRAINLYIST !!!

Solve for X

A) 40
B) 42
C) 45
D) 38

Answers

Answer:

C : 45

Step-by-step explanation:

Have a nice day :)

SOMEONE SMART PLEASE HELP!! If the area of a triangle is 32 yd^2 and the base is 6.4 yds long, find the height​

Answers

Answer:

Height = 10 yd

Step-by-step explanation:

GIVEN :-

Area of the triangle = 32 yd²Base of the triangle = 6.4 yd

TO FIND :-

The height of the triangle

GENERAL FORMULAE TO BE USED IN THIS QUESTION :-

For a triangle with base 'b' & height 'h' , its area = [tex]\frac{1}{2} \times b \times h[/tex]

SOLUTION :-

[tex]Area = \frac{1}{2} \times Base \times Height[/tex]

[tex]=> 32 = \frac{6.4h}{2}[/tex]

[tex]=> 6.4h = 32 \times 2 = 64[/tex]

[tex]=> h = \frac{64}{6.4} = 10\: yd[/tex]

Mention 3 places
where you can get
pre-approved for a
car loan

Answers

Answer:

Auto Credit Express, Carvana, Capital one auto loan

which expression is equivalent to 9 +y+y+3​

Answers

answer- 2y+12. you add 9 and 3 and the 2 y’s
Mark brainliest please

Answer is : 2(y + 6)

The height of the wall is 77 inches tall. What is its height in feet?​

Answers

Answer:

6.41667

Step-by-step explanation:

Answer:

I think 6.4

Step-by-step explanation:

hope it's help

Which of the following systems of linear inequalities is represented by the
solution graphed below?

Answers

Answer:

please make the drawings cleared

Express the product of (1/2x - 5/3) and (1/2x-1) as a trinomial in simplest form.

Answers

Can be simplified to
1/4x^2 -4/3x +5/3
Using the FOIL method

[tex]\longrightarrow{\green{ \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]( \frac{1}{2} x - \frac{5}{3} ) \times ( \frac{1}{2} x - 1) \\ \\ = \frac{1}{2} x \: ( \frac{1}{2} x - 1) - \frac{5}{3} \: ( \frac{1}{2} x - 1) \\ \\ = \frac{ {x}^{2} }{4} - \frac{x}{2} - \frac{5x}{6} + \frac{5}{3} \\ \\ = \frac{ {x}^{2} \times 3 }{4 \times 3} - \frac{x \times 6}{2 \times 6} - \frac{5x \times 2}{6 \times 2} + \frac{5 \times 4}{3 \times 4} \\\\ = \frac{3 {x}^{2} - 6x - 10x + 20}{12} \\ \\ = \frac{3 {x}^{2} - 16x + 20 }{12} \\\\= \frac{ {x}^{2} }{4} - \frac{4x}{3} + \frac{5}{3} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

PLEASE HELP: The exact value of cos 13π/8 is: A. 0.99. B. √2- √2/4 c. √2+√2/4 D. 0.38.​

Answers

The exact value of cos(13π/8) is 1/2 [tex]\sqrt{2-\sqrt{2} }[/tex].

What is trigonometric ratio?

Trigonometriic ratios are the ratios of the sides of a right angled triangle. sin , cos, tan, sec, cosec, cot are some of the trigonometric ratios. Sin is the ratio of perpendicular and hypotenuse, cos is the ratio if base and hypotenuse, tan is the ratio of perpendicular and base, secant is the ratio of hypotenuse and base, cosecant is the ratio of hypotenuse and perpendicular, cot is the ratio of base and perpendicular.

How to find value?

We have to find the value of cos (13π/8).

We have to use formula which is following:

cos[tex]Θ[/tex]=[tex]\sqrt{1/2(1+cos 2Θ}[/tex]

=[tex]\sqrt{1/2(1+cos(2*13 π/8)}[/tex]   (π=[tex]π[/tex])

=[tex]\sqrt{1/2(1+cos(3 π+π/4)}[/tex]

=[tex]\sqrt{1/2(1-cos(π/4)}[/tex]

=[tex]\sqrt{1/2(1-1/\sqrt{2} }[/tex]

=[tex]\sqrt{\sqrt{2}-1/2\sqrt{2} }[/tex]

=1/2[tex]\sqrt{2-\sqrt{2} }[/tex]

Hence the value of cos (13π/8) is [tex]1/2\sqrt{2-\sqrt{2} }[/tex].

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the sum of 10 and the product of 12 and s in agebraic expression​

Answers

Answer and Step-by-step explanation:

10 + 12s would be the algebraic expression.

Because 10 is being added to the product of 12 and s, meaning 12 and s multiply each other.

#teamtrees #PAW (Plant And Water)

A perpendicular bisector crosses a line segment. Which type of angle does it
form with the segment?
A. Acute
B. Straight
C. Right
D. Obtuse

Answers

Answer:

C. Right

Step-by-step explanation:

Hi there!

Perpendicular lines always create right angles when they intersect each other. This is what makes them perpendicular. Therefore, the perpendicular bisector forms a right angle with the line segment.

I hope this helps!

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