Solve 6m + 3 = 51

Please write your answer with a clear explanation.

Answer:

I was right after all. 175°

Step-by-step explanation:

U said solve for x do u mean z?

z=-4

Answer: z = -4

Step-by-step explanation:

Simplifying

5z + -8 = -28

Reorder the terms:

-8 + 5z = -28

Solving

-8 + 5z = -28

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '8' to each side of the equation.

-8 + 8 + 5z = -28 + 8

Combine like terms: -8 + 8 = 0

0 + 5z = -28 + 8

5z = -28 + 8

Combine like terms: -28 + 8 = -20

5z = -20

Divide each side by '5'.

z = -4

Simplifying

z = -4    Hope this helps !

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

For more questions on expected value

https://brainly.com/question/14723169

#SPJ8

Answer:

y = -12

Step-by-step explanation:

\(\frac{y}{3} = -4\)

y = -4(3)

y = -12

Hope this helps!

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

\(\mathsf{\dfrac{y}{3}=-4}\)

\(\large\textsf{MULTIPLY 3 to BOTH SIDES}\)

\(\mathsf{3\times\dfrac{1}{3}y=3\times(-4)}\)

\(\large\textsf{Cancel out: }\mathsf{3 \times \dfrac{1}{3}}\large\textsf{ because that gives you 1}\)

\(\large\textsf{KEEP: }\mathsf{3\times (-4)}\large\textsf{ because it gives you the y-value}\)

\(\large\textsf{New EQUATION: }\mathsf{y = -4 \times 3}\)

\(\mathsf{-4\times3=y}\)

\(\large\text{SIMPLIFY above }\uparrow\large\text{ \& you have your answer}\)

\(\mathsf{-4\times3=\bf -12}\)

\(\boxed{\boxed{\large\textsf{Answer: \huge \bf y = -12}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

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

The distance from his home to his work place is 118.125 miles

He drove from home to work at an average speed of 45 mph. Therefore,

speed = 45 mph

let

time = x

speed = distance / time

distance = 45x

His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,

45 minutes = 0.75 hours

distance = 35(x + 0.75)

distance = 35x + 26.25

Therefore,

45x = 35x + 26.25

45x - 35x = 26.25

10x = 26.25

x = 26.25 / 10

x = 2.625

Therefore,

distance = 45(2.625) = 118.125 miles

learn more on distance here: https://brainly.com/question/21329221

#SPJ1

The work done by the force F on a particle that is moving counterclockwise around the closed path C is 3276/7 for given a particle that is moving counterclockwise around the closed path C. F(x, y) = (9x² + y)i + 3xy²j C: boundary of the region lying between the graphs of y = √x, y = 0 and x = 9 & using Green's-Theorem

Green's Theorem states that the line integral around a simple closed curve C of the vector field F is equal to the double integral over the plane area D bounded by C of the curl of F.

It is given by:

∮C F ⋅ dr = ∬D curl F ⋅ dA

Using Green's Theorem, we can calculate the work done by the force F on a particle that is moving counterclockwise around the closed path C.

Given,F(x, y) = (9x² + y)i + 3xy²j

C: boundary of the region lying between the graphs of y = √x, y = 0 and x = 9

Here, D is the region enclosed by the curve C.

Boundaries of D: y = 0 to y = √x; x = 0 to x = 9

We know that ∮C F ⋅ dr = ∬D curl F ⋅ dA

We need to calculate curl F for the given function F(x, y).

So, curl F is given by:curl F = (∂Q/∂x - ∂P/∂y)

Here,P = 9x² + y and

Q = 3xy²

So,∂P/∂y = 1∂Q/∂x

               = 6xy

Using above formula,curl F = (∂Q/∂x - ∂P/∂y)

                                             = 6xy - 1

Now, applying Green's Theorem,∮C F ⋅ dr = ∬D curl F ⋅ dA

                                                                      = ∬D (6xy - 1) dA

Here, D is the region enclosed by the curve C. Boundaries of D: y = 0 to y = √x; x = 0 to x = 9

Now, calculating the integral of the above expression, we get:

∬D (6xy - 1) dA= [3x²y - x]dydx where, y varies from 0 to √x and x varies from 0 to 9.

[3x²y - x]dydx= ∫[0, 9]dx ∫[0, √x] [3x²y - x]dy

                      = ∫[0, 9]dx [(x³y - x²/2)]|√x0

                      = ∫[0, 9]dx [(x^5/2 - x²/2)]

So, ∮C F ⋅ dr = ∬D curl F ⋅ dA

                   = ∬D (6xy - 1) dA

                    = ∫[0, 9]dx [(x^5/2 - x²/2)]0

                    = 3276/7

Thus, the work done by the force F on a particle that is moving counterclockwise around the closed path C is 3276/7.

To know more about Green's-Theorem, visit:

brainly.com/question/32715496

#SPJ11

Answer:

x = 8

Step-by-step explanation:

It can be assumed that the attached figure shows the problem and we need to find the value of x.

According to figure, the corresponding angles are equal such that,

(6x - 11) = 37

6x = 37 +11

6x = 48

x = 8

So, the value of x in this case is 8.

Using the Laplace transform method, the solution to the given differential equation is obtained as x(t) = (c₁cos(√68t) + c₂sin(√68t))e^(-5at), where c₁ and c₂ are constants determined by the initial conditions xo and io.



To solve the differential equation using the Laplace transform method, we first take the Laplace transform of both sides of the equation. The Laplace transform of the second-order derivative term d²x/dt² can be expressed as s²X(s) - sx(0) - x'(0), where X(s) is the Laplace transform of x(t). Applying the Laplace transform to the entire equation, we obtain the transformed equation s²X(s) - sx(0) - x'(0) + 5aX(s) + 68X(s) = 0.Next, we substitute the initial conditions into the transformed equation. We have x(0) = xo and x'(0) = io. Substituting these values, we get s²X(s) - sxo - io + 5aX(s) + 68X(s) = 0.

Rearranging the equation, we have (s² + 5a + 68)X(s) = sxo + io. Dividing both sides by (s² + 5a + 68), we obtain X(s) = (sxo + io) / (s² + 5a + 68).To obtain the inverse Laplace transform and find the solution x(t), we need to express X(s) in a form that can be transformed back into the time domain. Using partial fraction decomposition, we can rewrite X(s) as a sum of simpler fractions. Then, by referring to Laplace transform tables or using the properties of Laplace transforms, we can find the inverse Laplace transform of each term. The resulting solution is x(t) = (c₁cos(√68t) + c₂sin(√68t))e^(-5at), where c₁ and c₂ are determined by the initial conditions xo and io.

To learn more about laplace transform click here

brainly.com/question/31689149

#SPJ11

The pair that is the mean and standard error of x is [65, 2.236]. So, the correct option is a.

Suppose a random sample of 80 measurements is selected from a population with a mean of 65 and a variance of 300. We are required to select the pair that is the mean and standard error of x. The standard error of the mean (SEM) is calculated as follows :

$$SEM = \frac{\sigma}{\sqrt{n}}$$

Where σ is the standard deviation, and n is the number of observations or sample size.

Given that variance,

σ2 = 300

Therefore,

σ = √300 = 17.32.

Substituting the values in the formula, we have

$$SEM = \frac{\sigma}{\sqrt{n}} = \frac{17.32}{\sqrt{80}} = 1.9365$$

Therefore, the mean and standard error of x is [65, 1.936]. Option A is not the answer because the value of the standard error in that option is incorrect. Option B is not the answer because the value of the standard error in that option is incorrect. Option C is not the answer because the value of the standard error in that option is incorrect.

Option D is not the answer because the first value in that option is not the mean of x. Option E is incorrect because the value of the standard error is incorrect.

You can learn more about the standard error at: brainly.com/question/13933041

#SPJ11

Answer:

y=2x+1

Step-by-step explanation:

Answer:

Therefore, the probability that a randomly selected graduate earns $40,000 can be  0.5 or 50%.

Step-by-step explanation:

To determine the probability that a randomly selected graduate earns $40,000 and over, we need to use the given information about the random variable's probability distribution.

From the data provided:

x: 0 1 2 3 4

P(X = x): 0.1 0.2 0.2 0.3 0.2

Let's identify the corresponding income values for each x value:

x = 0: $0

x = 1: $10,000

x = 2: $20,000

x = 3: $30,000

x = 4: $40,000 and over

To calculate the probability of earning $40,000 and over, we need to sum up the probabilities for x values 3 and 4:

P(X ≥ 4) = P(X = 4) + P(X = 3)

= 0.2 + 0.3

= 0.5

Therefore, the probability that a randomly selected graduate earns $40,000 and over is 0.5 or 50%.

Answer:

5

Step-by-step explanation:

5(a+3)=40

5a+15=40

5a+15-15=40-15

5a=25

a=5

The question is an illustration of multiplication model.

The multiplication model is: \(\mathbf{0.90 \times 0.10 =0.09}\)

From the figure, the shaded portions are:

\(\mathbf{Green = \frac{90}{100}}\)

\(\mathbf{Orange = \frac{10}{100}}\)

So, the multiplication model represents:

\(\mathbf{Model =Green \times Orange}\)

This gives

\(\mathbf{Model =\frac{90}{100} \times \frac{10}{100}}\)

Express as decimal

\(\mathbf{Model =0.90 \times 0.10}\)

\(\mathbf{Model =0.09}\)

Hence, the multiplication model is:

\(\mathbf{0.90 \times 0.10 =0.09}\)

Read more about multiplication models at:

https://brainly.com/question/1928793

According to the question we have the solution of the  given differential equation initial value problem is: g(x) = (3/4)x^4 - x + 9/4 .

To solve the given initial value problem, we need to integrate both sides of the differential equation. We have:

g'(x) = 3x(x^2 - 1/3)

Integrating both sides with respect to x, we get:

g(x) = ∫[3x(x^2 - 1/3)] dx

g(x) = ∫[3x^3 - 1] dx

g(x) = (3/4)x^4 - x + C

where C is the constant of integration.

To find the value of C, we use the initial condition g(1) = 2. Substituting x = 1 and g(x) = 2 in the above equation, we get:

2 = (3/4)1^4 - 1 + C

2 = 3/4 - 1 + C

C = 9/4

Therefore, the solution of the given initial value problem is:

g(x) = (3/4)x^4 - x + 9/4

In more than 100 words, we can say that the given initial value problem is a first-order differential equation, which can be solved by integrating both sides of the equation. The resulting function is a family of solutions that contain a constant of integration. To find the specific solution that satisfies the initial condition, we use the given value of g(1) = 2 to determine the constant of integration. The resulting solution is unique and satisfies the given differential equation as well as the initial condition.

To know more about differential visit :

https://brainly.com/question/31383100

#SPJ11

Given:

The given vector is:

\(v=9i-6j\)

To find:

The unit vector in the direction of the given vector.

Solution:

If a vector is \(v=ai+bj\), then the unit vector in the direction of the this vector is

\(\hat v=\dfrac{v}{|v|}\)

Where, \(|v|=\sqrt{a^2+b^2\)

We have,

\(v=9i-6j\)

Here, \(a=9\) and \(b=-6\). So,

\(|v|=\sqrt{9^2+(-6)^2}\)

\(|v|=\sqrt{81+36}\)

\(|v|=\sqrt{117}\)

\(|v|=3\sqrt{13}\)

Now, the unit vector in the direction of the given vector is:

\(\hat v=\dfrac{9i-6j}{3\sqrt{13}}\)

\(\hat v=\dfrac{9i}{3\sqrt{13}}-\dfrac{6j}{3\sqrt{13}}\)

\(\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j\)

Therefore, the required unit vector is \(\hat v=\dfrac{3}{\sqrt{13}}i-\dfrac{2}{\sqrt{13}}j\).

If two random variables, Y1 and Y2, are independent, the condition that needs to be satisfied is that the joint probability distribution of Y1 and Y2 factors into the product of their individual probability distributions.

Mathematically, for independent random variables Y1 and Y2, the condition can be expressed as:

P(Y1 = y1, Y2 = y2) = P(Y1 = y1) * P(Y2 = y2)

This means that the probability of both events Y1 = y1 and Y2 = y2 occurring together is equal to the product of the probabilities of each event occurring individually.

In simpler terms, knowing the outcome or value of one random variable does not provide any information about the outcome or value of the other random variable if they are independent. They do not influence each other's probability distributions.

Learn more about  probability   from

https://brainly.com/question/30390037

#SPJ11

Given that Mr. Sloan is charged $3 after 1 day, then if he is 9 days late, he will owe 9 times $3, that is, 3x9 = $27

To estimate the number of subscribers as a single digit times an integer power of 10, we can round the given number to the nearest power of 10.

The given number of subscribers is 77,000.

Rounding 77,000 to the nearest power of 10 (which is 10^4 or 10,000), we get:

77,000 ≈ 8 × 10,000

So, an estimate for the number of subscribers as a single digit times an integer power of 10 would be 80,000.

Answer:

The answer is 2.

Step-by-step explanation:

If I have done my math correctly, and I think I have, 1+1 should equal 2. Hope this helps ;)

cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo

cierra los ojos que me vengo o me vengo cierra los ojos que me vengo o me vengo

Answer:

-2

Step-by-step explanation:

Answer:

Start at 10 and do rise over run. Rise over how many numbers (spaces) and run over how many plots.

The value of the inequality X + 3 < 6 is x < 3.

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Based on the information given, the inequality will be illustrated thus:

x + 3 < 6

Collect like terms

x < 6 - 3

x < 3

The value is x < 3.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

The amount of ascent, or vertical distance, divided by the run, or horizontal distance, is how slope is commonly expressed as a percentage.

To learn more about  angle of slope refer,

https://brainly.com/question/28882561

#SPJ4

Answer:

so hard :/

lol XD

srry :(

Answer:

(i) In △ABD and △ACD,

AB=AC ....(since △ABC is isosceles)

AD=AD ....(common side)

BD=DC ....(since △BDC is isosceles)

ΔABD≅ΔACD .....SSS test of congruence,

∴∠BAD=∠CAD i.e. ∠BAP=∠PAC .....[c.a.c.t]......(i)

(ii) In △ABP and △ACP,

AB=AC ...(since △ABC is isosceles)

AP=AP ...(common side)

∠BAP=∠PAC ....from (i)

△ABP≅△ACP .... SAS test of congruence

∴BP=PC ...[c.s.c.t].....(ii)

∠APB=∠APC ....c.a.c.t.

(iii) Since △ABD≅△ACD

∠BAD=∠CAD ....from (i)

So, AD bisects ∠A

i.e. AP bisects∠A.....(iii)

In △BDP and △CDP,

DP=DP ...common side

BP=PC ...from (ii)

BD=CD ...(since △BDC is isosceles)

△BDP≅△CDP ....SSS test of congruence

∴∠BDP=∠CDP ....c.a.c.t.

∴ DP bisects∠D

So, AP bisects ∠D ....(iv)

From (iii) and (iv),

AP bisects ∠A as well as ∠D.

(iv) We know that

∠APB+∠APC=180

∘

....(angles in linear pair)

Also, ∠APB=∠APC ...from (ii)

∴∠APB=∠APC=

2

180

∘

=90

∘

BP=PC and ∠APB=∠APC=90

∘

Hence, AP is perpendicular bisector of

Step-by-step explanation:

HOPE ITS HELP YOU

Answer:

It is 2 which represents 20,000

Answer:

\(let \: the \: number \: be \: x \\ x - 6 = 5(x + 2) \\ x - 6 = 5x + 10 \\ 4x = - 16 \\ x = - \frac{16}{4} \\ x = - 4 \\ the \: number \: is \: - 4\)

The volume of the rectangular prism is (b) 93.9 cubic centimeters

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

Dimension = 3 centimeters by 5 centimeters by 6.26 centimeters

The volume of the rectangular prism is calculated as

Volume = Length * width * height

So, we have

Volume = 3 * 5 * 6.26

Evaluate

Volume = 93.9

Hence, the volume in cubic centimeters is 93.9

Read more about volume at

brainly.com/question/463363

#SPJ4

Question

Find the volume of the rectangular prism that is 3 centimeters by 5 centimeters by 6.26 centimeters

The volume of the rectangular prism 150 cubic centimeters cm3.

The formula for the volume of a rectangular prism is given as:

VOLUME OF RECTANGULAR PRISM = Length × Width × Height

Since no dimensions have been provided, let us assume the length is 10 cm, the width is 5 cm and the height is 3 cm.

The volume of the rectangular prism is given by the formula:

The volume of the rectangular prism = length × width × heigh

Substitute length as 10cm, width as cm), and height as 3cm into the formula to get:

The volume of the rectangular prism = 10 × 5 × 3 = 150 cubic centimeters cm3

Therefore, the volume of the rectangular prism is 150 cm3.

Learn more about prism from the below link

https://brainly.com/question/23963432

#SPJ11

Using the Bayes' theorem, we find the probability that the transferred ball was white given that the second ball drawn was white to be 52/89, or approximately 0.5843.

To solve this problem, we can use Bayes' theorem, which relates the conditional probability of an event A given an event B to the conditional probability of event B given event A:

P(A|B) = P(B|A) * P(A) / P(B)

where P(A|B) is the probability of event A given that event B has occurred, P(B|A) is the probability of event B given that event A has occurred, P(A) is the prior probability of event A, and P(B) is the prior probability of event B.

In this problem, we want to find the probability that the transferred ball was white (event A) given that the second ball drawn was white (event B). We can calculate this probability as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(B|A) is the probability of drawing a white ball from urn b given that the transferred ball was white and is now in urn b. Since there are now six white balls and three black balls in urn b, the probability of drawing a white ball is 6/9 = 2/3.

P(A) is the prior probability of the transferred ball being white, which is the number of white balls in urn a divided by the total number of balls in urn a, or 6/13.

P(B) is the prior probability of drawing a white ball from urn b, which can be calculated using the law of total probability:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

where P(B|not A) is the probability of drawing a white ball from urn b given that the transferred ball was black and P(not A) is the probability that the transferred ball was black, which is 7/13.

To calculate P(B|not A), we need to first calculate the probability of the transferred ball being black and then the probability of drawing a white ball from urn b given that the transferred ball was black.

The probability of the transferred ball being black is 7/13. Once the transferred ball is moved to urn b, there are now five white balls and four black balls in urn b, so the probability of drawing a white ball from urn b given that the transferred ball was black is 5/9.

Therefore, we can calculate P(B) as follows:

P(B) = P(B|A) * P(A) + P(B|not A) * P(not A)

= (2/3) * (6/13) + (5/9) * (7/13)

= 89/117

Now we can plug in all the values into Bayes' theorem to find P(A|B):

P(A|B) = P(B|A) * P(A) / P(B)

= (2/3) * (6/13) / (89/117)

= 52/89

Therefore, the probability that the transferred ball was white given that the second ball drawn was white is 52/89, or approximately 0.5843.

To know more about Bayes' theorem refer here :

https://brainly.com/question/29598596#

#SPJ11