Select the correct answer. what is the probability of randomly picking an ace of hearts from a standard deck of playing cards? assume there are no jokers in the deck. a. 1/52 b. 3/52 c. 1/13 d. 1/4

Answer:

Step-by-step explanation:

Solution:

Volume of the rectangular prism formula:

\(: \Longrightarrow \sf{V=l*w*h}\)

Given:

Then, you multiply.

\(\sf{32*10*16=\boxed{\sf{5120}}\)

Answer:

D

Step-by-step explanation:

Using capital budgeting techniques, the project's NPV is approximately $1,335,172.66.

To calculate the NPV of the project, we need to discount the cash flows to their present value and then subtract the initial investment.

Step 1: Calculate the annual depreciation

The initial fixed asset investment of $3.9 million falls into Class 10 for tax purposes with a CCA rate of 30% per year. Therefore, the annual depreciation expense is:

Depreciation = 30% x $3.9 million = $1.17 million per year

Step 2: Calculate the annual cash flows

The annual cash flows are the difference between the annual sales and costs, minus the depreciation expense, and then taxed at the corporate tax rate of 35%.

Year 0:

Initial Investment = -$3.9 million

Year 1:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Year 2:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Year 3:

Cash Inflow = $2,650,000 - $840,000 - $1,170,000 = $640,000

Tax = $640,000 x 35% = $224,000

After-Tax Cash Flow = $640,000 - $224,000 = $416,000

Salvage Value = $3,900,000 - $1,170,000 = $2,730,000

Tax on Salvage Value = $0

After-Tax Salvage Value = $2,730,000

Step 3: Calculate the NPV

The NPV is the sum of the present values of the cash flows, discounted at the required rate of return of 12%.

NPV = - $3,900,000 + ($416,000 / 1.12) + ($416,000 / 1.12²) + ($3,146,000 / 1.12³)

NPV = $1,335,172.66

Learn more about capital budgeting techniques at

https://brainly.com/question/14208432

#SPJ4

The number of triangles is an illustration of Triangle Inequalities theorem

There are infinitely many triangles that can be made given two side lengths

The side lengths of two sides are given as 18 inches and 25 inches.

Assume the third side of the triangle is x

Using the Triangle Inequalities theorem, we have:

So, we have:

x +18 > 25

x > 7

x + 25 > 18

x > -7.

18 + 25 > x

x < 43.

Ignore the negative value.

So, we have the solution set to be 7 < x < 43.

This means that the third side can take any value between 7 < x < 43.

Hence, there are infinitely many triangles.

Read more about Triangle Inequalities theorem at:

https://brainly.com/question/12011543

The statement "The height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is 1/(a-b)" is False.

In a uniform distribution, the probability density function (PDF) is constant within the interval [a, b]. The height of the PDF represents the density of the probability distribution at any given point within the interval. Since the PDF is constant, the height remains the same throughout the interval.

To determine the height of the PDF, we need to consider the interval length. In a uniform distribution defined on the interval [a, b], the height of the PDF is 1/(b - a) for the PDF to integrate to 1 over the entire interval. This means that the total area under the PDF curve is equal to 1, representing the total probability within the interval [a, b].

Therefore, the correct statement is that the height of the probability density function f(x) of the uniform distribution defined on the interval [a, b] is not 1/(a - b), but rather it is a constant value necessary for the PDF to integrate to 1 over the interval, i.e., 1/(b - a).

Learn more about  uniform distribution here:

https://brainly.com/question/32291215

#SPJ11

Q.4:

We are given the data on the ages of female actors when they starred in their award-winning performances.

The mean of the data is given by

Where xi is the sum of all the ages and n is the total number of values in the data set.

The sum of ages is 1440 and the total number of values are 36

The mean age is 40 years.

The median value is the most middle value in the data set.

To find the median, arrange the data in ascending order (least to greatest)

21

25

25

27

27

28

28

29

31

31

31

32

33

33

33

34

34

34

34

37

38

40

40

42

42

45

45

46

48

50

54

60

62

65

75

81

The 18th value is the middle value in the data set.

The `18th value is 34

Therefore, the median is 34

Answer:

of course ,the refree or the umpire

The solution to the equation 9 × (3 ÷ x) = 26 is x = 1.038.

To solve the equation 9 × (3 ÷ x) = 26 for x, we can follow these steps:

Simplify the expression on the left side of the equation:

9 × (3 ÷ x) = 26

27 ÷ x = 26

Multiply both sides of the equation by x to eliminate the division:

(27 ÷ x) × x = 26 × x

27 = 26x

Divide both sides of the equation by 26 to solve for x:

27 ÷ 26 = (26x) ÷ 26

1.038 = x

As a result, x = 1.038 is the answer to the equation 9 (3 x) = 26.

for such more question on equation

https://brainly.com/question/17482667

#SPJ8

Answer:

4 numbers, mean of 5.

4x5= 20. so the total of all 4 numbers is 20.

2+4+6= 12

so in order for the total to be 20, the missing number has

to be 8 (20-12=8)

Answer:

y = - 1.25x + 9

Step-by-step explanation:

A(0,9)  B(4,9)   C(4,4)

AB² = (4-0)² + (9-9)² = 16

AC² = (4-0)² + (4-9)² = 41

BC² = (4-4)² + (4-9)² = 25

AC is hypotenuse with y interception of 9

slope = 5/4 = -1.25

equation: y = - 1.25x + 9

The width of the flooring room is 50m.

The cost of flooring the room is Rs. 56,000.

The rate of flooring in the room is Rs. 14 per sqm.

Area of the room = Cost of flooring the room/rate of flooring per sqm

Area = 56,000/14 = 4,000 sqm

Length of the room = 80m

Area of rectangle = length × width

4,000 = 80 × width

Width = 4000/80

             = 50m

Thus, the width of the room is 50m.

To know more about the area read here:

https://brainly.com/question/23857332

The number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.

Given that

Six hundred six and four thousand, three hundred fifteen ten-thousandths

To write this number in numerical form, we need to add the values of each of its digits:

6 × 100 + 0 × 10 + 6 × 1 + 4 × 0.1 + 3 × 0.01 + 1 × 0.005 = 606.4315

Therefore, the number "Six hundred six and four thousand, three hundred fifteen ten-thousandths" is equal to 606.4315 in numerical form.

Read more about place value at

https://brainly.com/question/25137147

#SPJ1

The real zeros of f(x) = x^3 - 7x^2 - 41x - 33 are -3, 1, and -11.

The rational zeros theorem states that if a polynomial function has a rational zero, it can be expressed as the ratio of a factor of the constant term to a factor of the leading coefficient.

In the case of f(x) = x^3 - 7x^2 - 41x - 33, the constant term is -33 and the leading coefficient is 1.

The factors of the constant term -33 are ±1, ±3, ±11, and ±33.

The factors of the leading coefficient 1 are ±1.

So, the possible rational zeros are:

±1, ±3, ±11, ±33

To determine if any of these are actual zeros of the function, we can substitute them one by one into f(x) and check if the result is equal to zero.

By testing these values, we find that the real zeros of f(x) are:

x = -3

x = 1

x = -11

Learn more about real zeros here

https://brainly.com/question/29291635

#SPJ11

Answer:

100

Step-by-step explanation:

because 5+5=10

the 10^2=10*10=100

Answer:

thats the answer ^^

Step-by-step explanation:

plz give me brainlyest i need it

Answer:

Option 1

Step-by-step explanation:

\(3 {x}^{2} - 18x + 5 = 47\)

\( = > 3 {x}^{2} - 18x + 5 - 47 = 0\)

\( = > 3 {x}^{2} - 18x - 42 = 0\)

\( = > 3( {x}^{2} - 6x - 14) = 0\)

\( = > {x}^{2} - 6x - 14 = 0\)

We know that

\(x = \frac{ - b + \sqrt{d} }{2a} \: or \: \frac{ - b - \sqrt{d} }{2a} \)

Where D = Discriminant of the eqn.

Discriminant of the above eqn.=

\( {b}^{2} - 4ac = {( - 6)}^{2} - 4 \times ( - 14) \times 1 = 92\)

So,

\(x = \frac{ - ( - 6) + \sqrt{92} }{2 \times 1} \: or \: \frac{ - ( - 6) - \sqrt{92} }{2 \times 1} \)

\( = > x = \frac{6 + 2 \sqrt{23} }{2} \: or \: \frac{6 - 2 \sqrt{23} }{2} \)

\( = > x = (3 + \sqrt{23} ) \: or \: (3 - \sqrt{23} )\)

1)13/4: Rational (a fraction)

2)√17: Irrational (square root of a non-perfect square)

3)3π: Irrational (product of a rational number and an irrational number)

4)0.1 (1 bar): Rational (repeating decimal)

5)-√2: Irrational (negative square root of a non-perfect square)

6)√24: Irrational (square root of a non-perfect square)

7) -√49: Rational (negative square root of a perfect square)

1)13/4: Rational - This number is a fraction, and any number that can be expressed as a fraction is considered rational. In this case, 13/4 can be simplified to 3.25, which is a rational number.

2)√17: Irrational - The square root of 17 cannot be expressed as a simple fraction or terminating decimal. It is an irrational number, meaning it cannot be expressed as a ratio of two integers.

3)3π: Irrational - π (pi) is an irrational number, and when multiplied by a rational number like 3, the result is still an irrational number. Therefore, 3π is an irrational number.

4)0.1 (1 bar): Rational - This number is a repeating decimal, indicated by the bar over the 1. Although it does not have a finite representation, it can be expressed as the fraction 1/9, which makes it rational.

5)-√2: Irrational - Similar to √17, the square root of 2 is also an irrational number. Multiplying it by -1 does not change its nature, so -√2 remains an irrational number.

6)√24: Irrational - The square root of 24 is an irrational number because it cannot be expressed as a simple fraction or terminating decimal. It can be simplified to √(4 × 6), which further simplifies to 2√6, where √6 is an irrational number.

7)-√49: Rational - The square root of 49 is 7, which is a rational number. Multiplying it by -1 does not change its nature, so -√49 remains a rational number.

Know more about Rational     here:

https://brainly.com/question/12088221

#SPJ8

The complete question is :

Select whether the following numbers are rational or irrational.

1. 13/4

2. \sqrt{17}

3. 3 π

4. 0.1 (1 bar)

5. - \sqrt{2}

6. \sqrt{24}

7. - \sqrt{49

The correct answer is kπ.

We can start by rearranging the equation to get sin(x) on one side:

sin2(x) + 3sin(x)/4 = 0

Factoring out sin(x), we get:

sin(x)(sin(x) + 3/4) = 0

So either sin(x) = 0 or sin(x) = -3/4.

For sin(x) = 0, the solutions are x = kπ for any integer k.

For sin(x) = -3/4, we note that this value is not attainable for any real x since the range of sin(x) is [-1, 1]. Therefore, there are no solutions for sin(x) = -3/4.

Thus, the solutions to the equation sin2(x) = −3 sin(x) 4 are:

x = kπ for any integer k.

So the correct answer is kπ.

Click the below link, to learn more about all solutions:

https://brainly.com/question/14346180

#SPJ11

Answer:

161ft^2 is answer

Step-by-step explanation:

area of rectangle = l ×b

=7ft ×23ft

=161ft^2

Answer: \(\angle 2=83^{\circ}\)

Step-by-step explanation:

By the alternate interior angles theorem,

\(5x+2=3x+40\\\\2x=38\\\\x=19\)

This means that \(5x+2=3x+40=97\).

Since \(\angle 2\) and the \(97^{\circ}\) form a linear pair, they add to 180 degrees. So, \(\angle 2=83^{\circ}\)

The observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

An investigator is studying the association between cell phone use and migraine headaches.

100 cases (migraine patients) and 100 controls (people who don't suffer from migraine), and asks each group how many hours they use their cell phones per day, on average.

To calculate odd ratio ( exposure is cell phone as to check cell phone use on migraine)

Odds of disease in exposed = 60/55= 1.09

Odd of disease in non exposed = 40/45 = 0.88

Thus the odds ratio will be = 1.09:0.88

=> Odds of disease in exposed / odds of disease in non exposed = 1.09/ 0.88 = 1.23

= OR = 1.23

Hence the answer is the observed odds ratio (the observed association between migraine headache and cell phone use) is OR = 1.23.

To learn more about ratio click here https://brainly.com/question/13513438

#SPJ4

Answer:

4th degree

Step-by-step explanation:

When you are looking for the degree of an expression or equation, you just look for the biggest exponent.

Here, there is an

"x to the 4th power",

a "minus3 to the second power" and

a "9x" (which is a power of 1)

So the biggest exponent is 4...4th degree. That's it!

Answer:

x=−1

x=

2

3

​

=1

2

1

​

=1.5

Step-by-step explanation:

Answer:

x = 1/3

Step-by-step explanation:

The equation is : \(2(x-\frac{2}{3})\) = 0

Open parenthesis

\(2x - \frac{4}{6} = 0\)

Add 4/6 on both sides

2x = 4/6

Divide by 2 on both sides to isolate x

x = 1/3

Hope this helps :)

Have an awesome day!

The x-coordinate of the point (50, 55) is 50

A graph can be defined as a pictorial representation or a diagram that represents data or values.

The distance of point (50, 55) perpendicular to y-axis

Thus, perpendicular distance = 50 units

The x-coordinate of the point (50, 55) is 50

Learn more about graph

brainly.com/question/16608196

#SPJ2

Answer:

D

Step-by-step explanation:

In the model, the radius of the circle is 4 inches. The scale is 1 inch to 3 feet. So our radius of 4 inches is 12 feet in real life. Now that we have the radius, we can calculate the area. The area is 144π, or option D, assuming "n" represents "π".

Answer:

Add 55.5 and 35, then subtract 36.9.

Step-by-step explanation:

x+36.9=55.5+35

x+36.9=90.5

Subtraction Equality

x + 36.9 + (-36.9)= 90.5 (-36.9)

x = 53.6

Answer:

  A. 45.77 kg

Step-by-step explanation:

The measurement with the smallest difference from 45.76 is 45.77 kg.

Answer:

51 and 12

Step-by-step explanation:

    ➲ Let a be the bigger number

    ➲ Let b be the smaller number

         \(a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51\)

Thus,

b = 12, a = 51

_______________________________

Wrapping up:

➲ Hope this helps.

➲ Address concerns if needed.

➲ Have a great day!