help please
The company from Example IV takes three hours to interview an unqualified applicant and five hours to interview a qualified applicant. Calculate Will Murray's Probability, XIV. Negative Binomial Distr

Answer:

-22.8

Step-by-step explanation:

(0.6-2.5)(8+4)=

0.6-2.5=-1.9

8+4=12

-1.9 × 12=-22.8

Answer:

$189

Step-by-step explanation:

first, divide 357/17 to find the unit rate, which is $21/hour, then multiply 21*9 to find how much she would make in 9 hours. 21*9 = 189, so she would make $189.

Answer:

The answer is - A. 1 in. : 3.6 ft.

Step-by-step explanation:

In order to get the scale on the blueprint we just have to divide the measure in real time by the number of the blueprint, if we know that there´s a wall that is 21.6 feet long, and in the blue print is 6 inches long we just divide it:

scale: 21.6/6

scale: 3.6

So, now we know that for every inch in the blueprint there has to be 3.6 feet on the real construction.

(I hope I helped you)

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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Step-by-step explanation:

Let Matthew be x years old now. April is thus x-6 years old now.

Next year, Matthew will be x+1 years old and April will be x-5 years old.

x+1 = 2(x-5)

x+1 = 2x - 10

x=11

Thus Matthew is 11 while April is 5.

Answer:

BC = 10.9 mm

Step-by-step explanation:

The computation of the BC is given below:

Here we applied the pythagorus theorem

AB = 10.8 mm

AC = 1.6mm

BC = ?

Now as we know that

AB^2 + AC^2 = BC^2

10.8mm^2 + 1.6mm^2 = BC^2

116.64mm^2 + 2.56mm^2 = BC^2

BC = 10.9 mm

Answer:

(5, -2.5)

Step-by-step explanation:

The equation for mid point is (x1 +x2)/2 , (y1+y2)/2

(3+7)/2, (-8+3)/2

(10)/2, (-5)/2

5, 2.5

Answer:

Step-by-step explanation:

To find the surface area of the silo, we need to calculate the areas of the cylinder and hemisphere separately, and then add them together.

The formula for the surface area of a cylinder is:

A_cylinder = 2πrh + 2πr^2

where r is the radius of the base of the cylinder, and h is the height of the cylinder.

In this case, r = 15 feet and h = 30 feet, so we have:

A_cylinder = 2π(15)(30) + 2π(15)^2

A_cylinder = 900π + 450π

A_cylinder = 1350π

The formula for the surface area of a hemisphere is:

A_hemisphere = 2πr^2

where r is the radius of the hemisphere.

In this case, the radius of the hemisphere is also 15 feet, so we have:

A_hemisphere = 2π(15)^2

A_hemisphere = 450π

To find the total surface area of the silo, we add the surface areas of the cylinder and hemisphere:

A_total = A_cylinder + A_hemisphere

A_total = 1350π + 450π

A_total = 1800π

Using 3.14 for π, we can approximate the total surface area as:

A_total ≈ 5652 square feet

Therefore, the farmer will need to cover approximately 5652 square feet of surface area to paint the outside of the silo.

Tripling the linear size of an object multiplies its area by a factor of nine.

When the linear size of an object is tripled, the area of the object is multiplied by 9.

This can be understood by considering the relationship between the linear size and the area of an object. If we assume that the object has a regular shape and the linear size refers to the length of its sides, then the area is directly proportional to the square of the linear size.

Let's denote the initial linear size of the object as L and the initial area as A. When the linear size is tripled, it becomes 3L. According to the square proportionality, the new area (A') can be expressed as:

A' = (3L)^2

A' = 9L^2

Comparing A' with the initial area A, we can see that A' is 9 times larger than A. Therefore, tripling the linear size of an object multiplies its area by 9.

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Answer:

There are no solutions.

Step-by-step explanation:

The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.

The probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is calculated using the following equation:

P(4 red balls) = (6C4) × (3C2) × (8C0)/(17C6)

Where C denotes the combination and the denominator represents the total possible outcomes.

In this case, the numerator consists of three parts, the first being the combination of four red balls from the first urn (6C4) where 6 represents the total number of red balls, and 4 represents the number of red balls chosen. The second part is the combination of two brown balls from the second urn (3C2) where 3 is the total number of brown balls, and 2 is the number of brown balls chosen. The last part is the combination of zero purple balls from the third urn (8C0) where 8 is the total number of purple balls and 0 is the number of purple balls chosen.

Finally, the denominator represents the total number of possible outcomes when drawing 6 balls from 17 balls (17C6) where 17 is the total number of balls, and 6 is the total number of balls drawn.

The probability of drawing four red balls is 0.3147 or 31.47%.

Therefore, the probability of drawing exactly four red balls when drawing six balls from three urns, each with 6 red balls, 3 brown balls, and 8 purple balls is 0.3147 or 31.47%.

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Answer:

Im pretty sure its 6

Step-by-step explanation:

hope this helps :)

Answer:

B.

Step-by-step explanation:

You just take the pythagorean theorem and use the same steps but just plug in the hypotenuse and the one leg you have and solve the problem using the pythagorean theorem.

The level of significance, typically set at 0.05, is used to determine whether the observed difference is statistically significant or simply due to chance

To determine whether the difference between groups is statistically significant, you would typically use a hypothesis test such as a t-test, ANOVA (analysis of variance), or a chi-square test. These tests are used to compare the means or proportions of different groups and calculate the probability of obtaining the observed difference by chance. The level of significance, typically set at 0.05, is used to determine whether the observed difference is statistically significant or simply due to chance. To determine if the difference between groups is statistically significant, you can use a hypothesis test called the t-test. The t-test compares the means of two groups and takes into account the sample size and variance within each group. This test helps you determine if there is a significant difference between the groups or if the observed difference is due to random chance.

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Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

The statement is sometimes true. It depends on the relationship between the radius of the cone, the height of the cone, and the height of the prism.

The volume of a cone is given by the formula\(V_{cone} = (1/3)\pi r^2h\), where r is the radius of the cone and h is the height of the cone.

The volume of a prism is given by the formula\(V_{prism} = Bh\), where B is the base area of the prism and h is the height of the prism.

To determine if the statement is true, we need to compare the volumes of the cone and the prism.

If the base area of the cone is 3 times as great as the base area of the prism, it means that \(B_{cone} = 3B_{prism\).

Substituting these values into the volume formulas, we have \(V_{cone} = (1/3)\pi r^2h\) and \(V_{prism} = 3B_{prism} h\).

By comparing these formulas, we can see that the volume of the cone is indeed three times the volume of the prism, given the condition that \(B_{cone} = 3B_{prism\).

However, it is important to note that this relationship depends on the specific values of the radius and height of the cone and the height of the prism. If these values do not satisfy the condition \(B_{cone} = 3B_{prism\), then the statement would not hold true. Therefore, the statement is sometimes true, but it is not always true.

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Answer:

(1,5)

Step-by-step explanation:

You can use the midpoint formula: \(\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}\)

So, the Change In X is: 5 - 3= 2

And the Change in Y is: 11 - 1 = 10

Once you divide both of the changes by 2, you get

X: 1

Y: 5

So the midpoint is: (1,5)

Answer:

Step-by-step explanation:

Simply it is 2/5.

This is because overall 5/5 is the amount of people at the tennis club.

3/5 of the people in the tennis club are women meaning:

5/5 - 3/5 = 2/5

So 2/5 of the people in the tennis club are men.

Answer:

Its b

Step-by-step explanation:

Its b triangular pyramid

Mark me please

Answer: B

Step-by-step explanation: check the base

It's actually asking you to find the angles within the circles and match it with the angles it's supposed to be. For example if angle COE is 90° (im taking a fake angle value), you should put arc CE <——> 90

If you are still confused and need me to do it so that you can understand what I mean, reply and I'll help you!

Answer:

See below

Step-by-step explanation:

The objective of the question has been well explained by user vaishub1101.

I am just adding an additional hint and one answer to get you going

Since you just needed one example, I am providing just that
One thing to note in the figure is that segments DEF, ACD and ABF are all tangents to the circle. This fact is important since at the point of tangency (where the tangent touches the circle), the tangent to a circle is always perpendicular to the radius.

Using this knowledge and the given angles we can compute all the other angles but not the arc length \(\frown \atop {CE}\) since to find arc length we need the value of the radius

As an example to help you get going,
\(\angle{DFA} \longleftrightarrow 58^\circ\)

You would drag the tile with ∠DFA to the top left box and the tile with 58° to the top right box

I am sure you can figure out the rest or else user vaishub1101 can help you out with the rest

The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

To determine the critical path of the project, we need to find the longest path of activities that must be completed in order to finish the project on time. This is done by calculating the earliest start time (ES) and earliest finish time (EF) for each activity.

Starting with activity A, ES = 0 and EF = 4. Activity B can start immediately after A is complete, so ES = 4 and EF = 7. Activity C can start after A is complete, so ES = 4 and EF = 6. Activity D can start after B is complete, so ES = 7 and EF = 9. Finally, activity E can start after C and D are complete, so ES = 9 and EF = 11.

The variance for each activity is also given, which allows us to calculate the standard deviation and determine the probability of completing the project on time. The critical path is the path with the longest duration, which in this case is A -> B -> D -> E with a duration of 11 days.

Using the expected durations and variances, we can calculate the standard deviation of the critical path. This information can be used to determine the probability of completing the project on time.

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First part

numerator f cubed g to the power of negative 2

The numerator can be written as

Second part

denorminator h raised to the power of negative 1

The numerator can be written as

combining part one and two

Open parentheses fraction - fraction - close parentheses to the power of 4

This gives

simplifying the expression to remove negative exponent

Simplifying the numerator

simplfying the denorminator

combining simplfied values for numerator and denorminator in the general form we have

Hence, the simplified form of the expression is

Answer:

Scott sent 23 text, Elsa sent 16 and Miguel sent 64 test.

Step-by-step explanation:

Answer:

448.25(2dp)

Step-by-step explanation:

1. Find the are of the entire rectangle:

length x breadth = 38 x 28 = 1064mm^2

2. Find the area of one semicircle

(\(\pi\)r^2) divided by 2 =( \(\pi\) x 14^2)divided by 2  = 98 \(\pi\) = 307.8760801... = 307.88 mm^2

3. Multiply the area by 2

307.88 x 2 = 615.75 mm^2.     [ The sum of areas of 2 semicicles]

4. Subtract the area of the 2 semicircles from the area rectangle

1064-615.75 = 448.25 (2dp)

Hope this helps

Another name for AXW is <X

The arrow on XW implies that the segment XW is a ray, such that any of the points X or W can be the starting point

Hence, another name for XW is WX

A ray with an endpoint X is a ray that ends at point X

An example of such ray is XY

The arrow on WX implies that the segment WX is a ray, such that any of the points X or W can be the starting point

Hence, another name for WX is XW

The name AXW represents an angle

An angle can be named after its middle point

Hence, another name for AXW is <X

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1.1.1 Short-term investment: An example of a short-term investment is investing in a 3-month Treasury bill. These are government-issued debt securities with a maturity of less than one year, providing a relatively low-risk investment option with a fixed interest rate.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a maturity of 5 years. Corporate bonds offer a higher yield compared to government bonds, making them suitable for investors with a moderate risk appetite seeking stable income over a longer time horizon.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. Stocks represent ownership in a company and have the potential for higher returns over an extended period, although they also involve higher risk.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. These bonds pay a fixed interest rate over the bond's duration, providing a predictable stream of income for the investor.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. The mortgage payment remains constant throughout the loan term, typically spanning several years, and includes both the principal repayment and the interest charged by the lender.

1.1.1 Short-term investment: A short-term investment option is the 3-month Treasury bill. Treasury bills are considered low-risk investments issued by the government, and they offer a fixed interest rate that is determined through an auction process. Investors can purchase Treasury bills directly from the government or through a broker.

1.1.2 Medium-term investment: A medium-term investment example is investing in a corporate bond with a 5-year maturity. Corporate bonds are issued by companies to raise funds, and they pay a fixed interest rate to bondholders over the bond's duration. The bond's yield and risk profile depend on the creditworthiness of the issuing company.

1.1.3 Long-term investment: An example of a long-term investment is investing in a diversified stock portfolio. A diversified portfolio consists of a mix of stocks from different sectors and regions, spreading the risk across multiple companies. The goal is to achieve long-term capital appreciation and potentially earn dividends from the stocks held in the portfolio.

1.1.4 Fixed income: An example of a fixed income investment is purchasing a 10-year government bond. Government bonds are issued by national governments to finance their operations. The bond's interest rate is fixed at the time of issuance, and the investor receives periodic interest payments until the bond reaches maturity, at which point the principal amount is returned.

1.1.5 Fixed expense: A fixed expense example is paying a monthly mortgage payment. When purchasing a property with a mortgage loan, the borrower agrees to make fixed monthly payments that include both the principal repayment and the interest charged by the lender. The monthly payment amount remains constant throughout the mortgage term, typically ranging from 15 to 30 years.

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a) Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = 3.315%

c) After tax cost of debt of 3.135% is more relevant.

Given:

FV = 100

Semiannual bond issued 3 years ago

Maturity = 27

Price, PV = 104

coupon rate = 4.5%

Tax rate = 22%

a) Semiannual bond issued 3 years ago

Maturity, n = 27 years × 2 = 54

Coupon C = 4.5%/2×100 = 2.25

Now,

Pretax cost of debt,

Cost of debt, I = [C+(FV-PV)/n] / (FV+PV)/2

= [2.25 +(100 - 104)/54] / [ 100+1040/2

= 2.12%

= 2.12×2

Cost of debt, I = 4.25%(annual)

b) After tax cost of debt = cost of debt × (1-T)

= 4.25% × (1-22%)

After tax cost of debt = 3.315%

c) After tax cost of debt is more relevant.

Hence we get the required answer.

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