According to Table above, there are four activities in the project. Assume the normal distribution is appropriate to use to determine the probability of finishing by a particular time. What is the probability that the project is finished in 16 weeks or fewer? (Round to two decimals.)
(a) 0.07 (b) 0.93 (c) 0.43 (d) 0.77 (e) none of the above

Answer: no it does not

Step-by-step explanation: Because 1,007 squared is 1,014,049 and the sum of 911 squared is 829,921 and then 829 squared is 687,241 then add 829,921+687,241=1,517,162 when it should equal 1,014,049 which is the amount of 1,007 squared to make it a right triangle.

The solution is : no, it does not form a right triangle.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.

now, we get,

Because 1,007 squared is 1,014,049

and the sum of 911 squared is 829,921

and then 829 squared is 687,241

then add 829,921+687,241=1,517,162

when it should equal 1,014,049

which is the amount of 1,007 squared to make it a right triangle.

as we know that,

in right triangle,

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.

so, we get,

The solution is : no, it does not form a right triangle.

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The  graph shows a function and its is the graph in option A.

The original path is reflected on the line y = x. The two functions are said to be inverses of one another if the graphs of both functions are symmetric with respect to the line y = x. This is due to the fact that (y, x) lies on the inverse function of the function if (x, y) lies on the original function.

The inverse function is shown on a graph with the use of a vertical line test. The line has a slope and travels through the origin.

Instance is the  f(x) = 2x + 5 = y. Then, is the inverse of \(g(y) = \frac{ (y-5)}{2} = x\) f(x).Reflecting over the y and x gives us the function of the inverse.

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The population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

To find the population after 5 years in 2015, we use the formula:

Population in 2015 = Population in 2010 + Growth Rate ×

Population in 2010= 54,000 + 7.6% of 54,000

= 54,000 + (7.6/100) × 54,000

= 54,000 + 4,104

= 58,1042.

To find the population after 10 years in 2020, we use the formula:

Population in 2020 = Population in 2015 - Decline Rate × Population in 2015

= 58,104 - 3.1% of 58,104

= 58,104 - (3.1/100) × 58,104

= 58,104 - 1,801.224

= 56,302.7763.

Therefore, the growth in the population from 2010 to 2015 is:

Population growth from 2010 to 2015 = Population in 2015 - Population in 2010

= 58,104 - 54,000

= 4,104

Therefore, the population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

Method 2:Using Compound Interest FormulaWe can also use the compound interest formula to solve this problem.1. Let's consider the population of the city in 2010 as the principal amount. Hence, P = 54,000.2.

The population grew by 7.6% annually for 5 years. Therefore, the growth rate is r = 7.6%, and the time period is n = 5.3. The population fell by 3.1% annually for the next 5 years.

Therefore, the decline rate is r = -3.1%, and the time period is n = 5.4.

To find the population in 2015, we use the compound interest formula. We get:

Population in 2015 = P(1 + r/100)^n

= 54,000(1 + 7.6/100)^5

= 54,000(1.076)^5= 54,000 × 1.41943

= 58,104.825.

To find the population in 2020, we again use the compound interest formula. We get:

Population in 2020 = P(1 + r/100)^n

= 58,104.825(1 - 3.1/100)^5

= 58,104.825(0.969)^5

= 58,104.825 × 0.85936

= 50,018.224.

Therefore, the growth in the population from 2010 to 2015 is:

Population growth from 2010 to 2015 = Population in 2015 - Population in 2010

= 58,104 - 54,000

= 4,104

Therefore, the population grew by 4,104 from 2010 to 2015. Rounding it to the nearest hundred, we get 4,100. Therefore, the population grew by 4,100 (to the nearest hundred) from 2010 to 2015.

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Answer:

a coin with one side representing a win and the other representing a loss

Step-by-step explanation:

Answer:

C: a 5-section spinner with congruent sections, 3 representing a win and 2 representing a loss

Step-by-step explanation:

edg2021

You simply have to simplify. 24 wins and 16 loses is equal to 3 / 2. So it is C.

It is not A (to the person who said it was a coin) and that is because it is not equal. There are more wins than losses.

Answer:

24 ounces for 6.00

Step-by-step explanation:

it has more in it.

Answer:

y = -3x + 7

Step-by-step explanation:

I see points (0, 7) and (1, 4).

slope = m = (4 - 7)/(1 - 0) = -3

y-intercept = 7

y = mx + b

y = -3x + 7

The calculated value of the maximum value of the objective function is 61.92

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

Objective function, 5X₁ + 7X₂

Subject to

3X₁ + 8X₂ ≤ 48

12X₁ + 11X₂ ≤ 132

2X₁ + 3X₂ ≤ 24

Next, we plot the graph (see attachment)

The coordinates of the feasible region are

(6.86, 3.43), (8.38, 2.86) and (9.43, 1.71)

Substitute these coordinates in the above equation, so, we have the following representation

5(6.86) + 7(3.43) = 58.31

5(8.38) + 7(2.86) = 61.92

5(9.43) + 7(1.71) = 59.12

The maximum value above is 61.92 at (8.38, 2.86)

Hence, the maximum value of the objective function is 61.92

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Given :

Peyton is taking a multiple choice test with a total of 20 points available. Each  question is worth exactly 2 points.

To Find :

Peyton's test score (out of 20) if  she got 4 questions wrong.

Solution :

Total numbers of questions are 20/2 = 10 questions.

Points after getting 4 questions wrong :

P = 2( 10 - 4 )

P = 12

Therefore, her score after getting 4 questions wrong is 12.

Hence, this is the required solution.

Answer:

Score with questions wrong:20-2(x)=12

Score with x questions wrong: 20-2x

Step-by-step explanation:

Since Peyton loses 2 points for every question wrong, she would lose 2 x 4, or 8 points when getting 4 questions wrong. Since the test is out 20 points, her final score would be 20-8 or 12 points. (Note, this is an answer for delta math.)

Step-by-step explanation:

There are 36 white rabbits in the cage.

Let's denote the number of black rabbits as 'B' and the number of white rabbits as 'W'.

Since there are 3/2 times as many white rabbits as black rabbits.

So, W = (3/2)B ---(1)

The total number of rabbits in the cage is 60, so we can write:

W + B = 60 ---(2)

solving the both equation

(3/2)B + B = 60

(5/2)B = 60

B = (60 x 2/5)

B = 24

Now, we can substitute this value of B into equation (1) to find W:

W = (3/2)B = (3/2) x 24 = 36

Therefore, there are 36 white rabbits in the cage.

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Answer: $96,220

Step-by-step explanation:

From the questionwe are we informed that Daniel is a very good television salesperson and that his annual sales average at $187,400 and his commission on sales is 30% while his annual base salary is $40,000.

His annual gross income will be his annual base salary plus commission annually. This will be:

= $40,000 + (30% × $187,400)

= $40,000 + (0.3 × $187,400)

= $40,000 + $56,220

= $96,220

It was found that

Then, evaluating at x=4,

The minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

The given problem is:

min 8x₁ + 6x₂ subject to4x₁ + 2x₂ ≥ 20−6x₁ + 4x₂ ≤ 12x₁ + x₂ ≥ 6x₁ + x₂ ≥ 0

The feasible region is as follows:

Firstly, plot the following lines:4x₁ + 2x₂ = 20-6x₁ + 4x₂ = 12x₁ + x₂ = 6x₁ + x₂ = 0On plotting, the following graph is obtained:

Now, let's check each option one by one:

a. 4x₁ + 2x₂ ≥ 20

The feasible region is the region above the line 4x₁ + 2x₂ = 20.

b. −6x₁ + 4x₂ ≤ 12

The feasible region is the region below the line −6x₁ + 4x₂ = 12.c. x₁ + x₂ ≥ 6

The feasible region is the region above the line x₁ + x₂ = 6.d. x₁ + x₂ ≥ 0

The feasible region is the region above the x-axis.

Now, check the point of intersection of the lines.

They are:(10,0),(2,4),(6,0)The point (2,4) is not in the feasible region as it lies outside it.

Therefore, we reject this point.

The other two points, (10,0) and (6,0) are in the feasible region.

Now, check the values of the objective function at these two points.

Objective function value at (10,0): 80

Objective function value at (6,0): 48

Therefore, the minimum value of the objective function subject to the given constraints is 48 and it occurs at (6,0).

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Answer:

A = 5x + 3y

B = 8x + 5y

C = 15x + 11y

Step-by-step explanation:

B = 6x + 2y + 2x + 3y

= 6x + 2x + 2y + 3y

= 8x + 5y

C = 8x + 5y + 7x + 6y

= 8x + 7x + 5y + 6y

= 15x + 11y

A = 7x + 6y - 2x - 3y

= 7x - 2x + 6y - 3y

= 5x + 3y

To argue why the liberal arts are so important in education and leisure, one must discuss its Greek origin and how it is received today.

The term "liberal arts" comes from the Latin word "liberalis," which means free. It was used in the Middle Ages to refer to topics that should be studied by free people. Liberal arts refers to courses of study that provide a general education rather than specialized training. It encompasses a wide range of topics, including literature, philosophy, history, language, art, and science.The liberal arts curriculum is based on the idea that a broad education is necessary for individuals to become productive members of society. In ancient Greece, education was focused on developing the mind, body, and spirit.  

The study of the liberal arts is necessary to create well-rounded individuals who can contribute to society in meaningful ways. While the importance of the liberal arts has been debated, it is clear that they are more important now than ever before. The study of the liberal arts is necessary to develop the skills that are required in a rapidly advancing technological world.

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Answer:

The rate of change will be positive because in march the profit has increased as compared to january.

Step-by-step explanation:

Step-by-step explanation:

Negative four

-4

Equal to x

-4=x

Divided by five

-4=x/5

Plus six

-4=x/5 +6

Interpretation in the picture above

Solution

Multiply through with 5

5×-4=5×x/5 + 5×6 as shown in the second picture

-20=x+30

Collect like terms

-20-30=x

-50=x or x=-50

Answer:

Step-by-step explanation:

decimal point 2 places that way ==> . decimal point 2 places this way <== . 12.39% = 0.1239

Answer:

0.1239

Step-by-step explanation:

To change a percent to decimal form, move the decimal point to the left two times and as you do it more u can just do it off the top of ur head because it just gets easier

hope this helps chu<3

Newtons First Equation of motion can be applied and plugin in the given data the acceleration was found to be 2.03 m/s^2

Given Data

Time t= 3 seconds

Initial Velocity u = 0.8 m/s

Final Velocity v = 7 m/s

Acceleration a = ??

Applying the Newton's First equation of motion

v = u+at--------------1

Substituting our given Data

7 = 0.8+a*3

solving for acceleration a

7-0.9 = 3a

6.1 = 3a

divide both sides by 3 we have

a = 6.1/3

a = 2.03 m/s^2

Answer a = 2.03 m/s^2

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There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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The value of the given integral is -2cos(3) - e³ + 2.

To find the antiderivative of the given function, we need to use integration rules. The antiderivative of 2sin(x) is -2cos(x) and the antiderivative of eˣ is eˣ. Therefore, the antiderivative of the given function is:

∫(2sin(x) - eˣ) dx = -2cos(x) - eˣ + C

where C is the constant of integration.

Now we can evaluate the definite integral by substituting the limits of integration:

∫₃⁰ (2sin(x) - eˣ) dx = [-2cos(x) - eˣ] from 0 to 3

= (-2cos(3) - e³) - (-2cos(0) - e^0)

= -2cos(3) - e³ + 2

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Complete Question:

Evaluate the integral: integral from 0 to 3 (2insx-e^x)dx

The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).

What are scientific notations?

Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.

Calculation of the product of two numbers

Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)

Multiplying two numbers, we get

= 3.2 × 10^(12) × 4.25 × 10^(9)

= 13.6 × 10^(21)

= 1.36 × 10^(22)

Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).

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The Excel function =40*RAND() generates random numbers between 0 and 40.

Since the RAND() function in Excel produces random numbers uniformly distributed between 0 and 1, multiplying it by 40 scales the range to 0 to 40.

The standard deviation of a uniform distribution with range a to b is given by (b - a) / sqrt(12). In this case, a = 0 and b = 40.which simplifies to approximately 11.55.

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Answer:

Number 8 is going to be 5/2

Number 9 is going to be 31/8

Number 10 is going to be 7/4

Number 11 is going to be 29/6

Number 12 is going to be 67/13

Step-by-step explanation:

Hope this helped

Two consecutive numbers are 85 and 86.

Let's assume

Sipho's age is x,

then Percy's age would be x + 9 years old.

According to the problem statement, in 3 year's time, Percy will be twice as old as Sipho.

So, if we add 3 years in Sipho's age and Percy's age,

we get: x + 3 = Sipho's age in 3 years

x + 9 + 3 = x + 12 = Percy's age in 3 years

As per the given statement, Percy's age in 3 years is double that of Sipho's.

So:x + 12 = 2(x + 3)

Solve for x x + 12 = 2x + 6x = 6

Therefore, Sipho's age is x = 6 years old and Percy's age is x + 9 = 15 years old.3.1.2

Let's represent two consecutive numbers as x and x + 1.

The sum of these two consecutive numbers is equal to 171.x + x + 1 = 1712x + 1 = 1712x = 170x = 85

Therefore, two consecutive numbers are 85 and 86.

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The displacement of the roller-coaster car from its starting point can be determined using graphical techniques. The main answer is that the displacement is approximately 157.5 ft in magnitude and in the direction opposite to the car's initial motion.

To explain further, we can break down the motion into horizontal and vertical components. The car initially moves 200 ft horizontally, which means its horizontal displacement is 200 ft. Then, it rises 135 ft at an angle of 30.0° above the horizontal. This vertical displacement can be calculated as 135 ft * sin(30.0°) = 67.5 ft upward.

Next, the car travels 135 ft at an angle of 40.0° downward. This contributes to a vertical displacement of 135 ft * sin(40.0°) = 87.2 ft downward.

To find the total vertical displacement, we subtract the downward displacement from the upward displacement: 67.5 ft - 87.2 ft = -19.7 ft.

Finally, we can use the Pythagorean theorem to calculate the magnitude of the displacement. The horizontal displacement is 200 ft and the vertical displacement is -19.7 ft. So, the magnitude of the displacement is sqrt((200 ft)^2 + (-19.7 ft)^2) ≈ 157.5 ft.

Since the vertical displacement is negative, the displacement is in the direction opposite to the initial motion of the car.

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The present value of Mark's prize, considering the $10,000 annual payments for 10 years and the subsequent $20,000 annual payments for 30 years, with an 8% discount rate, amounts to $171,391.44.

To calculate the present value of Mark's prize, we need to determine the current worth of the future cash flows he will receive. The $10,000 annual payments for 10 years can be considered an annuity, while the subsequent $20,000 annual payments for 30 years can be viewed as a perpetuity starting from the 11th year.

First, we calculate the present value of the annuity using the formula for the present value of an ordinary annuity:

PV_annuity = \(C * [1 - (1 + r)^(-n)] / r\),

where PV_annuity is the present value of the annuity, C is the annual cash flow, r is the discount rate, and n is the number of years. Plugging in the values, we have:

PV_annuity = $10,000\(* [1 - (1 + 0.08)^(-10)] / 0.08\) = $85,394.45.

Next, we calculate the present value of the perpetuity using the formula for the present value of a perpetuity:

PV_perpetuity = C / r,

where PV_perpetuity is the present value of the perpetuity. Plugging in the values, we have:

PV_perpetuity = $20,000 / 0.08 = $250,000.

Finally, we sum up the present values of the annuity and the perpetuity to obtain the total present value:

Total present value = PV_annuity + PV_perpetuity = $85,394.45 + $250,000 = $335,394.45.

Therefore, with an 8% discount rate, the present value of Mark's prize is $171,391.44.

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Answer:

5

Step-by-step explanation:

(13−(1+2))(2)

       4

=  (13−3)(2)

       4

=  (10)(2)

      4

= 20

  4

= 5 (the answer is 5)

Answer: 1

Step-by-step explanation: calculator lol

Answer:

= 1

Step-by-step explanation:

− 2 + 7 −4

=5 −4

= 1