when you find 240% of 80 what are you looking for

The variance of the length of the critical path is 5.76.

Option A is the correct answer.

We have,

To calculate the variance of the length of the critical path in the Critical Path Method (CPM) with three-time estimates (PERT), we can use the formula:

Variance = (Standard Deviation)²

Given that the standard deviation is 2.4, we can substitute it into the formula:

Variance = (2.4)² = 5.76

Therefore,

The variance of the length of the critical path is 5.76.

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Answer:

(2, –3) is a solution to the system of linear equations.

Step-by-step explanation:

Given: Equations:

3x - y = 9 --------(1),

4x + y = 5 --------(2),

Add Equation (1) + Equation (2),

3x + 4x = 9 + 5

7x = 14  ( Combine like terms )

x = 2   ( Divide both sides by 7 ),

From equation 1:

3(2) - y = 9

6 - y = 9

-y = 9 - 6    ( Subtraction 6 on both sides )

-y = 3

y = - 3     ( Multiplying -1 on both sides )

Answer:

\(3p,3q,3r\)

Step-by-step explanation:

Dilation is not a rigid transformation, for it is not an isometry, hence a dilation produces similar and not congruent figures.

If we have to dilate a \(\bigtriangleup ABC\) with  scale factor of 3, with this centered at its origin,with its sides p, q and r. We'll have \(\bigtriangleup A'B'C'\) having 3p,3q, 3r.

The slope in a Dilation is considered carefully when it is not dilated at its center. Well it is. And we're not dilating line segments, then it'll look like this (check below)

\(D_3(x,y) A'=3A, B'=3B, C'=3C\\\)

So its line segments will be thrice the value of its original triangle as well.

Answer:

1.2 and 3q

Step-by-step explanation:

Answer:

a) Vertical.

Step-by-step explanation:

There is no value of ln x <= 0.

The asymptote ix x = 0 (that is the y-axis).

Answer:

the first one in your life with my name in your company is in fact the

Answer:

C = p(3.50)

Hope this helps! :)

There are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

To solve this problem, we need to use the concept of probability. Probability is the likelihood of an event occurring, expressed as a number between 0 and 1. In this case, we want to find the probability of rolling either a blue die 3 or an even sum or both.

First, let's count the number of outcomes where the blue die is 3. There is only one way to get a 3 on the blue die, and the red die can be any number from 1 to 6. Therefore, there are 6 possible outcomes where the blue die is 3.

Next, let's count the number of outcomes where we get an even sum. There are three ways to get an even sum: (1,1), (2,2), and (3,3). For each of these outcomes, the blue die can be any number from 1 to 6. Therefore, there are 18 possible outcomes where we get an even sum.

Finally, let's count the number of outcomes where we get both a blue die 3 and an even sum. There is only one way to get a blue die 3 and an even sum: (3,3). Therefore, there is only one possible outcome where we get both a blue die 3 and an even sum.

To find the total number of outcomes that have either a blue die 3 or an even sum or both, we need to add the number of outcomes where the blue die is 3, the number of outcomes where we get an even sum, and the number of outcomes where we get both. This gives us:

6 + 18 + 1 = 25

Therefore, there are 25 possible outcomes where we either get a blue die 3 or an even sum or both.

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Answer:

A - -6x4y – 2x3y2 + 9x2y3 – 3xy4 + y5

I just took the test

The difference of the polynomials given is  -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Given are two polynomials are :

(-2x³y² + 4x²y3³ - 3xy⁴) and (6x⁴y - 5x²y³ - y⁵)

We need to subtract the polynomials and find the difference.

(-2x³y² + 4x²y3³ - 3xy⁴) - (6x⁴y - 5x²y³ - y⁵)

By multiplying the signs into the brackets

= -2x³y² + 4x²y3³ - 3xy⁴ - 6x⁴y + 5x²y³ + y⁵

Grouping the like terms, we get

= -2x³y² + (4x²y3³ + 5x²y³) - 3xy⁴ - 6x⁴y + y⁵

= -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

Therefore, the difference between the polynomials is -2x³y² + 9x²y³ - 3xy⁴ - 6x⁴y + y⁵

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Answer:

9/2 and mixed number: 4 1/2

Step-by-step explanation:

Answer:

I hope this helps!

The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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The solution is, 10.8 kg. does the teams soft balls weigh in total.

Here, we have,

given that,

yalianny and gabby are training for softball. during a break in practice they found that one softball weighs 180 grams. the team has a total of 60 soft balls.

now, we have to find that  how many kilograms does the teams soft balls weigh in total.

so, to get the total weight we have to multiply 60 with 180.

as, we have,

one softball weighs 180 grams

and, the team has a total of 60 soft balls.

so total weight = 180 * 60

                         =10800 gm.

                         =10.8 kg.

Hence, The solution is, 10.8 kg. does the teams soft balls weigh in total.

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Answer:

So I did it and I got 4 it might be right might not I hope this helped.

Step-by-step explanation:

To write each vector in trigonometric form, we need to express them in terms of magnitude and angle.

18. \(\( \mathbf{b} = (\sqrt{19}, -4) \)\)

The magnitude of vector \(\( \mathbf{b} \) is \( \sqrt{(\sqrt{19})^2 + (-4)^2} = \sqrt{19 + 16} = \sqrt{35} \).\)

The angle of vector \(\( \mathbf{b} \)\) with respect to the positive x-axis can be found using the arctan function:

\(\( \mathbf{b} \) is \( \sqrt{35} \, \text{cis}(\arctan\left(\frac{-4}{\sqrt{19}}\right)) \).\)

So, the trigonometric form of vector \(\( \mathbf{b} \) is \( \sqrt{35} \, \text{cis}(\arctan\left(\frac{-4}{\sqrt{19}}\right)) \).\)

19. \(\( \mathbf{r} = 16i + 4j \)\)

The magnitude of vector \(\( \mathbf{r} \) is \( \sqrt{(16)^2 + (4)^2} = \sqrt{256 + 16} = \sqrt{272} = 16\sqrt{17} \).\)

The angle of vector \(\( \mathbf{r} \)\) with respect to the positive x-axis is 0 degrees since the vector lies along the x-axis.

So, the trigonometric form of vector \(\( \mathbf{r} \) is \( 16\sqrt{17} \, \text{cis}(0^\circ) \).\)

20.  \(\( \mathbf{k} = 4\sqrt{2}i - 2j \)\)

The magnitude of vector \(\( \mathbf{k} \) is \( \sqrt{(4\sqrt{2})^2 + (-2)^2} = \sqrt{32 + 4} = \sqrt{36} = 6 \).\)

The angle of vector \(\( \mathbf{k} \)\) with respect to the positive x-axis can be found using the arctan function:

\(\( \theta = \arctan\left(\frac{-2}{4\sqrt{2}}\right) \)\)

So, the trigonometric form of vector \(\( \mathbf{k} \) is \( 6 \, \text{cis}(\arctan\left(\frac{-2}{4\sqrt{2}}\right)) \).\)

21. \(\( \overrightarrow{CD} \) with C(2, 10) and D(-3, 8)\)

To find the vector \(\( \overrightarrow{CD} \)\), we subtract the coordinates of point C from the coordinates of point D:

\(\( \overrightarrow{CD} = \langle -3 - 2, 8 - 10 \rangle = \langle -5, -2 \rangle \)\)

The magnitude of vector \\(( \overrightarrow{CD} \) is \( \sqrt{(-5)^2 + (-2)^2} = \sqrt{29} \).\)

The angle of vector \(\( \overrightarrow{CD} \)\) with respect to the positive x-axis can be found using the arctan function:

\(\( \theta = \arctan\left(\frac{-2}{-5}\right) = \arctan\left(\frac{2}{5}\right) \)\)

So, the trigonometric form of vector \(\( \overrightarrow{CD} \) is \( \sqrt{29} \, \text{cis}(\arctan\left(\frac{2}{5}\right)) \).\)

22. overnighter \({TU} \) with T(-3, -4) and U(3, 8)\)

To find the vector we subtract the coordinates of point T from the coordinates of point U:

\(\( \overrightarrow{TU} = \langle 3 - (-3), 8 - (-4) \rangle = \langle 6, 12 \rangle \)\)

The magnitude of vector \(\( \overrightarrow{TU} \) is \( \sqrt{(6)^2 + (12)^2} = \sqrt{36 + 144} = \sqrt{180} = 6\sqrt{5} \).\)

The angle of vector \(\( \overrightarrow{TU} \)\) with respect to the positive x-axis can be found using the arctan function:

\(\( \theta = \arctan\left(\frac{12}{6}\right) = \arctan(2) \)\)\(\( \overrightarrow{TU} \),\)

So, the trigonometric form of vector \(\( \overrightarrow{TU} \) is \( 6\sqrt{5} \, \text{cis}(\arctan(2)) \).\)

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Answer:

OKay so one-half + k greater-than 8 is the same thing as 1/2 + k > 18.  The correct answer for this is  ¨The sum of one-half and a number is greater than eighteen.¨ This is because 1/2 and k are added together hence the word sum. Furthermore, ¨>¨ means greater than.

Step-by-step explanation:

Hope this helps, have an Amazing day!

Answer:

Step-by-step explanation:

8=2x+16

8 - 16 = 2x

x = -8 /2

x = -4

Answer:

4.5 balloons

Step-by-step explanation:

Lily blows 9 balloons in 12 min, how many balloons can she blow in 6 min​?

9/12 = 0.75 per minute

0.75 * 6 = 4.5 balloons

Answer:

\(M=\dfrac{(p-44)}{4}\ \text{years}\)

Step-by-step explanation:

Given that,

Peggy is p years old.

​Maggie is 11 year less than 1/4 of Peggy's age.

It means,

Maggie's age,

\(M=\dfrac{1}{4}\times p-11\\\\M=\dfrac{p}{4}-11\\\\M=\dfrac{(p-44)}{4}\)

So, Maggie's age is \(\dfrac{(p-44)}{4}\) years.

Answer:0.5

Step-by-step explanation:

Because you put the old figure over the new figure(in this case 40/83)

Answer:

107.5

Step-by-step explanation:

Hope this helps. God Bless

Lucy has $7 less than Kristine and $5 more than Nina together, the three have $35. Lucy has $11.

Let's denote the amount of money that Kristine has as K, the amount of money that Lucy has as L, and the amount of money that Nina has as N.

According to the given information, we can form two equations:

Lucy has $7 less than Kristine: L = K - 7

Lucy has $5 more than Nina: L = N + 5

We also know that the three of them have a total of $35: K + L + N = 35

We can solve this system of equations to find the values of K, L, and N.

Substituting equation 1 into equation 3, we get:

K + (K - 7) + N = 35

2K - 7 + N = 35

Substituting equation 2 into the above equation, we get:

2K - 7 + (L - 5) = 35

2K + L - 12 = 35

Since Lucy has $7 less than Kristine (equation 1), we can substitute K - 7 for L in the above equation:

2K + (K - 7) - 12 = 35

3K - 19 = 35

Adding 19 to both sides:

3K = 54

Dividing both sides by 3:

K = 18

Now we can substitute the value of K into equation 1 to find L:

L = K - 7

L = 18 - 7

L = 11

Finally, we can find the value of N by substituting the values of K and L into equation 3:

K + L + N = 35

18 + 11 + N = 35

N = 35 - 18 - 11

N = 6

Therefore, Lucy has $11.

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The factors of the quadratic equation are (x+3) and (x-15).

The factors of \(x^2-12x-45\\\).

\(x^2-12x-45\\\)

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

\(x^2-15x+3x-45\\\)

Taking common out,

\(x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)\)

Hence, the factors of the quadratic equation are (x+3) and (x-15).

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Answer:

(x + 3)(x – 15)

Step-by-step explanation:

The first four terms of the binomial series are 1-  1/2 x+  3/16 x^2-  1/16 x^3. (Option C)

In mathematics, the binomial series is a generalization of the polynomial that comes from a binomial formula expression like ^n for a nonnegative integer n. For a binomial series, the formula for the expansion of any terms is given by

(1+x)^m=1+mx+  m(m-1)/2! x^2+  m(m-1)(m-2)/3! x^3+⋯.

For the given function (1+ x/4)^(-2)

m = -2

x = x/4

Hence, using the above expansion formula

The first term = 1

The second term = mx = (-2)(x/4) = -x/2

The third term =m(m-1)/2! (x/4)^2=  (-2(-2-1))/(2*1*16) x^2=3/16 x^2

The fourth term = m(m-1)(m-2)/3! (x/4)^3=(-2(-2-1)(-2-2))/(3*2*1*64) x^3=-1/16 x^3

Hence, the first four terms of the binomial series are 1-  1/2 x+  3/16 x^2-  1/16 x^3.

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The area of Kimberly's wall hanging will be 32 square units.

Given that:

Points, A(1, 5), B(1, 9), C(7, 9), D(7, 5), E(5, 3), and F(3, 3)

The area of a two-dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

The polygon is shown in the graph below.

The area of the polygon is given as,

A = Area of rectangle + Area of trapezium

A = 4 x 6 + 1/2 x (6 + 2) x 2

A = 24 + 8

A = 32 square units

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Answer:

Maybe try explaining that if you narrow it down and simplify the numbers by dividing them by 8 or somewhere around there.

Answer:

A biconditional statement is a combination of a conditional statement Its converse written in the if and only form

The range of the exponential function will be y ≥ 250,0003. Then the correct option is B.

The domain means all the possible values of x and the range means all the possible values of y.

The Population Of Center City Is Modeled By Exponential Function F, Where X Is The Number Of Years After The Year 2015.

The graph is given below.

We know that the exponential function is given as

y = abˣ

For x = 0, y will be 250,000

250,000 = a

For x = 40, y will be 400,000

400,000 = 250,000b⁴⁰

           b = 1.0118

Then we have

y = 250,000 (1.0118)ˣ

Then the range of the exponential function will be y ≥ 250,0003.

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Answer:

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Step(i):-

Given mean of the population = 500

Given standard deviation of the Population = 75

Let 'X' be the variable in normal distribution

      \(Z = \frac{x-mean}{S.D}\)

Given X = $410

\(Z = \frac{410-500}{75} = - 1.2\)

Step(ii):-

The probability that a family spends less than $410 per month

P( X < 410) = P( Z < - 1.2 )

                  =  0.5 - A( -1.2)

                 = 0.5 - A(1.2)

                = 0.5 - 0.3849  ( ∵from normal table)

                = 0.1151

Final answer:-

The probability that a family spends less than $410 per month

P( X < 410) = 0.1151

Step-by-step explanation:

Use the systematic new AC Method to factor trinomials (Socratic Search)

y

=3x2+7x−6

=3(x + p)(x + q)

Converted trinomial:

y'

=x^2+7x−18

= (x + p')(x + q').

p' and q' have opposite signs.

Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,

p ='p/a

= -2/3

and

q ='q/a

=9/3

=3.

Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)

We will get that the angle theta is:

θ = β/2

Remember that the sum of the interior angles of any triangle must be equal to 180°.

Now, looking at the triangle in the left, we can see that the top angle is equal to:

180 - 2α

The right angle is equal to:

180 - 2β

And the left angle is α

Then we can write:

α + (180 - 2α) + (180 - 2β) = 180

-α - 2β = -180

α = 180 - 2β

Now we can go to the other triangle, where theta is, and write:

α + β + 2θ = 180

Replacing what we found above, we get:

180 - 2β + β + 2θ = 180

-β + 2θ = 0

θ = β/2

That is the best simplification we can get with the given diagram.

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The quadratic equation with the roots  3+i and 3-i is:

x^2 - 6x + 10 = 0

We know that a quadratic equation with the roots a and b is written as:

(x - a)*(x - b) = 0

Here the roots are 3 + i, and 3 - i.

Replacing that we get:

(x - 3 - i)*(x - 3 + i) = 0

Expanding the product on the left we get:

x^2 + x*(-3) + x*i + (-3)*x + (-3)*(-3) + (-3)*i + (-i)*x + (-i)*(-3) - i^2 = 0

Remember that i^2 = -1, then:

x^2 -3x + x*i - 3x + 9 - 3i - x*i + 3i + 1 =0

x^2 - 6x + 10 = 0

That is the equation for the given roots.

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Answer:

y = 3

Step-by-step explanation:

To solve this equation, we will use conventional algebraic techniques as illustrated below.

3(y + 5) = 8y Distribute the 3.

3y + 15 = 8y Subtract 3y from both sides.

15 = 5y Rearrange the equation so the variable is on the left.

5y = 15 Divide by 5 on both sides.

y = 3

Answer:

Step-by-step explanation:

\(3\left(y+5\right)=8y\\\)

Expand

\(\mathrm{Expand\:}3\left(y+5\right):\quad 3y+15\\\\=3y+15=8y\)

Subtract 15 from both sides

\(3y+15-15=8y-15\)

Simplify

\(3y=8y-15\)

Subtract 8y from both sides

\(3y-8y=8y-15-8y\)

Simplify

\(-5y=-15\)

Divide both sides by -5

\(\frac{-5y}{-5}=\frac{-15}{-5}\)

Simplify

\(y =3\)