Explain why the probability that the critical path will be finished in 22 weeks or less is not necessarily the probability that the project will be finished in 22 weeks orless.

Answer:

Question 1: (C) Step 3

Question 2: (B) The 2nd graph from the left

Question 3: (A, B, D)

Question 4: (D) Subtract 1.1j from both sides

Question 5: (C) x <= 3

Question 6: (D) y = 10

Step-by-step explanation:

Question 1:

Step 3 is where Rahul added 1/4 to both sides. This is the only time he used the addition property of equality.

Question 2:

This questions requires you to have knowledge on how to graph lines.

g(x) = -1 is already graphed correctly on all of the answer choices, so we only have to focus on f(x) = -1/2x - 2.

The y-intercept for f(x) is -2, and only answers B & D have that intercept. However, only B has the correct slope of -1/2.

Question 3:

A is correct because they added 3/5x and x, which is still equal to the original equation.

B is correct because they multiplied all the terms to have a denominator of 30, then multiplied both sides by 30 to eliminate the fractions.

C is wrong because it's supposed to 30x, not just a regular x from the original equation.

D is correct because as you solve the equation for x, you end up adding 18x, 6x, and 30x, which is 54x. 24x + 30x in this answer choice also equals 54x.

E is wrong because they subtracted instead of adding the 6x.

Question 4:

All of the answer choices are wrong except for D because the other choices either use a wrong term (like 4j, which doesn't exist) or the wrong property of equality.

Question 5:

Use basic algebra to sovle the inequality:

2(4 + 2x) >= 5x + 5

(distribute 2 to the (4 + 2x))

8 + 4x >= 5x + 5

(subtract 5 from both sides)

3 + 4x >= 5x

(subtract 4x form both sides)

3 >= x

x <= 3

Question 6:

Use basic algebra to solve for y:

2.8y + 6 + 0.2y = 5y - 14

(subtract 6 from both sides)

2.8y + 0.2y = 5y -20

(add like terms)

3y = 5y - 20

(subtract 5y from both sides)

-2y = -20

(divide both sides by -2)

y = 10

Hope it helps (●'◡'●)

Answer:

m = -1

y intercept = -6

Step-by-step explanation:

The given equation of the line is ,

[tex]\implies y = -x -6[/tex]

We know that the Standard equation of Slope Intercept Form of the line is,

[tex]\implies y = mx + c[/tex]

Where ,

On comparing to the Standard form of the line we get ,

[tex]\implies Slope = -1 [/tex]

[tex]\implies y - intercept= -6 [/tex]

Slope: -1

Hope it helps.

Do comment if you have any query.

the line passes point (0, -3) and (1, -5)

the slope = (-5+3) /(1-0) = -2/1 = -2

the y-intercept = -3

so, the equation : y = -2x -3

which one.

................................

Step-by-step explanation:

................

Answer:

x = 15

Step-by-step explanation:

If A parallel to B then ∠ 2 and ∠ 4 are same- side interior angles and sum to 180° , then

2x + 10 + 4x + 80 = 180 , that is

6x + 90 = 180 ( subtract 90 from both sides )

6x = 90 ( divide both sides by 6 )

x = 15

Answer:

Step-by-step explanation:

The formulas to find the x and y coordinates of E are:

[tex]x=\frac{bx_1+ax_2}{a+b}[/tex]  and  [tex]y=\frac{by_1+ay_2}{a+b}[/tex]  where x1, x2, y1, and y2 are from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in to find x first:

[tex]x=\frac{2(2)+1(-4)}{1+2}=\frac{4-4}{3}=0[/tex]  and now for y:

[tex]y=\frac{2(-3)+1(9)}{1+2}=\frac{-6+9}{3}=\frac{3}{3}=1[/tex]

The coordinates of E are (0, 1).

Given:

The points are A(2,-3) and B(-4,9).

The point E divides the segment AB in 1:2.

To find:

The coordinates of point E.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of the point is:

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Using the section formula, the coordinates of point E are:

[tex]E=\left(\dfrac{1(-4)+2(2)}{1+2},\dfrac{1(9)+2(-3)}{1+2}\right)[/tex]

[tex]E=\left(\dfrac{-4+4)}{3},\dfrac{9-6}{3}\right)[/tex]

[tex]E=\left(\dfrac{0)}{3},\dfrac{3}{3}\right)[/tex]

[tex]E=\left(0,1\right)[/tex]

Therefore, the coordinates of the point E are (0,1).

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

Answer:

66

Step-by-step explanation:

he uses 66 in one day

Answer:

[tex]a)\ 5.06 * 10\³[/tex]

[tex]b)\ 6.079 * 10^6[/tex]

[tex]c)\ 3\ crore = 30\ million[/tex]

[tex]d)\ 999999[/tex]

[tex]e)\ 10478[/tex]

[tex]f)\ 78[/tex]

[tex]g)\ 2730[/tex]

Step-by-step explanation:

Solving (a): 5060 as a power of 10

We simply move the decimal between 5 and 6. The number of zeros to move backward is 4.

So,

[tex]5 0 6 0 = 5.06 * 10^3[/tex]

Solving (b): 6079000 as a power of 10

We simply move the decimal between 6 and 0. The number of zeros to move backward is 4.

So,

[tex]6079000 = 6.079 * 10^6[/tex]

Solving (c): 3 crore to millions

[tex]1\ crore = 10\ million[/tex]

Multiply by 3

[tex]3\ crore = 30\ million[/tex]

Solving (d): The greatest 6 digits

The greatest unit digit is 9. So, we simply write out 9 in 6 places

[tex]Greatest= 99999[/tex]

Solving (e): The least 5-digit formed from 4,1,8,0,7

To do this, we start the number from the smallest non-zero digit.

The remaining 4 digits will then be in an increasing order

So, we have:

[tex]Least = 10478[/tex]

Solving (f):

[tex]18 - 7 + 9 * \frac{48}{6} - 5[/tex]

Using BODMAS

Evaluate the division, first

[tex]18 - 7 + 9 * 8 - 5[/tex]

Then multiplication

[tex]18 - 7 + 72 - 5[/tex]

Add up the remaining digits

[tex]78[/tex]

Solving (g): This question is not clear.

I will assume the expression is:

[tex]\frac{72}{ 12}* [ \frac{180}{4}*{10 +(15 - \frac{45}{9}*2)}][/tex]

Evaluate all divisions

[tex]6* [ 45*{10 +(15 - 5*2)}][/tex]

Solve the multiplication in brackets

[tex]6* [ 45*{10 +(15 - 10)}][/tex]

Remove the inner bracket

[tex]6* [ 45*{10 +5}][/tex]

Evaluate 45 * 10

[tex]6* [ 450 +5}][/tex]

Remove the bracket

[tex]6* 455[/tex]

Multiply

[tex]2730[/tex]

Answer:

[tex]7b^2+6b-3[/tex]

Step-by-step explanation:

Given:

[tex]2b+7b^2-2+3b-1+b[/tex]

Combine like terms.

[tex]7b^2+6b-3[/tex]

Hope this helps.

Answer:

(-4,2)

Step-by-step explanation:

Step-by-step explanation:

Answer:

34 is greater than or equal to z which is greater than or equal to 30

Answer:

C

Step-by-step explanation:

Given

sinR = [tex]\frac{5}{13}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

This is a 5- 12- 13 triangle with legs PQ = 5, QR = 12, hypotenuse PR = 13

cosR = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{QR}{PR}[/tex] = [tex]\frac{12}{13}[/tex]

Answer:

Not sure what you are asking.

Domain is all x values .

It can be stated in coordinates (x,y). X is the input. Y is output

It can be stated in Domain Notations such as {x | x ≥ 0}

Answer:

divide 3 by the amount of feet to get to the yards

Step-by-step explanation:

For every three feet, there's always one yard

so to do this only given feet, we'll need to divide the amount of feet by 3 to represent the amount of yards

Answer:

6 x 2 = 8 + 11 = 19 x 3 = 57

Step-by-step explanation:

Answer:

The number of non empty proper subsets of a set with 3 elements is =23−2=8−2=6.

Answer:

Step-by-step explanation:

slope>0 so graph is increasing.

Answer:

216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

Dado que 4/9 de los adolescentes que confirmaron su asistencia fueron varones, y 4/5 de las mujeres a pesar que confirmaron su asistencia no participaron, y 24 que confirmaron su asistencia si participaron, para determinar cuántos adolescentes en total confirmaron su asistencia y cuántos adolescentes varones confirmaron su asistencia se deben realizar los siguientes cálculos:

5/9 x 1/5 = 24

5/45 = 24

1/45 = 4.8

4.8 x 45 = 216

216 / 9 x 5 = 120

216 / 9 x 4 = 96

Por lo tanto, en total 216 adolescentes confirmaron su asistencia, de los cuales 120 fueron mujeres y 96 varones.

Step-by-step explanation:

The solution and answer are well written in the Pic above.

Given equation of the Circle is ,

[tex]\sf\implies x^2 + y^2 = 25 [/tex]

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

[tex]\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2[/tex]

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

[tex]\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }[/tex]

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

Answer:

The value of P(AUB) = 0.438

Step-by-step explanation:

Given:

P(A) = 0.36

P(B) = 0.2

P(A∩B) = 0.122

Find:

The value of P(AUB)

Computation:

P(AUB) = P(A) + P(B) - P(A∩B)

The value of P(AUB) = 0.36 + 0.2 - 0.122

The value of P(AUB) = 0.56 - 0.122

The value of P(AUB) = 0.438

Answer:

The answer will be 0.45%

Step-by-step explanation:

im right

Answer:

Step-by-step explanation:

i think A

Hope this helps!

Step-by-step explanation:

So here is my attempt. And i guess its correct

Answer:

answer

Step-by-step explanation:

h+2 ≥ 10

h ≥ 10 - 2

h ≥ 8

Answer:

57 x 1 =57

Step-by-step explanation:

Please remember identity property of multiplication says

An integer * 1 = the same integer

Using this property

57 x 1 = 57

Answer:

35 miles

Step-by-step explanation:

Total Miles driven at full tank = 230 miles

Miles drive at full tank from Austin to Dallas = 195 miles

How many miles will be left once he arrives in Dallas?

Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas

= 230 miles - 195 miles

= 35 miles

Answer:

c. -x -y = 5

Step-by-step explanation:

parallel means same x