The total surface area of a cuboid is 600cm ^2 find LSA

Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.

A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.

Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14

Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96

The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.

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The two independent groups are the King Salmon from Lake Michigan and Lake Superior. The t-test will allow the researchers to analyze the weight data from each lake and determine if there is enough evidence to conclude that the mean weight of King Salmon from Lake Michigan is significantly different from the mean weight of King Salmon from Lake Superior.

To determine whether Lake Michigan King Salmon weigh less than those from Lake Superior, the appropriate statistical test to use would be an independent samples t-test.

The independent samples t-test is used to compare the means of two independent groups to determine if there is a significant difference between them. In this case, the two independent groups are the King Salmon from Lake Michigan and Lake Superior. The t-test will allow the researchers to analyze the weight data from each lake and determine if there is enough evidence to conclude that the mean weight of King Salmon from Lake Michigan is significantly different from the mean weight of King Salmon from Lake Superior.

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Answer:

A. 1/3 x (8+9)

Step-by-step explanation:

When you multiply something by a fraction, you are figuring out what fraction it is of the whole. And in the diagram, it is asking for you to give the equation to figure out what 1/3 of 8+9 is, and you also have to make sure that the parentheses are there because you want to multiply 1/3 by the sum of 8+9, not by 8 and then add 9.

(hope this helps!)

Answer:

put it in desmos.................

Answer:  None of the above

The central bank of the US is the Federal Reserve.

Answer:

181 is the longest side. the hyp is the longest side of a right triangle.

Answer:

27.6%

Step-by-step explanation:

See the attached worksheet. Find the total number of marbles (29) and then take the green marbles and divide by the total and multiply by 100%.  (8/29)*(100%) = 27.6% to the nearest tenth.

Answer:

D) 216cm²

Step-by-step explanation:

Triangles: a=1/bh

a=1/2(6)(8)

a=24 (2 of them)

Base: 6x7=42

Back: 8x7=56

Front Rectangle: 7x10=70

24+24+42+56+70=216cm²

Answer:

-84

Step-by-step explanation:

Answer:

-149

Step-by-step explanation:

-70+(-79)=-149

The signs are the same so you just add normally

The volume inside the kite is 27000 cubic centimeters (\(cm^{3}\)). To calculate this, you multiply the length, width, and height of the kite's interior: 30 cm x 30 cm x 30 cm = 27000 \(cm^{3}\).

The following formula determines a rectangular solid's volume:

V = l x w x h

Where:

V is the volume

l is the length of the solid

w is the width of the solid

h is the height of the solid

So, to find the volume, you simply multiply the length, width, and height of the solid together.

The volume of a rectangular solid (such as a box kite frame) can be found by multiplying its three dimensions, which represent its length, width, and height. In the case of Oliver's box kite, the dimensions are:

Length = 30 cm

Width = 30 cm

Height = 30 cm

To find the volume, we multiply these three numbers:

Volume = Length x Width x Height

= \(30cm *30cm*30cm\)

= \(27000\) \(cm^{3}\)

So, the volume inside the kite is 27000 cubic centimeters.

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The complete question is:

Oliver is building a box kite. The kite's frame has the following measurements: He used 7200 cm to cover the sides of the kite (but not the top or bottom)? of lightweight fabric. 30 cm 30 cm What is the kite's internal volume? cm3 Check'

The media challenge faced in the scenario is increasing audience fragmentation.

The cost price is abbreviated as C.P.  The price at which an article is sold is known as its selling price. The selling price is abbreviated as S.P.It is a price above the cost price and includes a percentage of profit also.

The media challenge described in the scenario is increasing audience fragmentation. Audience fragmentation occurs when there are numerous media options available, and consumers have different preferences and behaviors regarding media consumption. This makes it challenging for media planners and buyers to identify the most effective media outlets to reach their target audience. In the case of Ford, their media planners and buyers had put a lot of effort into selecting the best media outlets, but still had to pull their campaign due to the challenges posed by audience fragmentation. Therefore, the media challenge faced in the scenario is increasing audience fragmentation.

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(x - 5)(x - 4)

Hi there !

x² - 9x + 20​ =

= x² - 4x - 5x + 20

= x(x - 4) - 5(x - 4)

= (x - 5)(x - 4)

Good luck !

The correct representation of the inequality is x > 5 or –6x + 15 < 10 – 5x.

The inequality can be best represented as follows;

–3(2x – 5) < 5(2 – x)

An inequality is a mathematical expression that has the signs <, >, ≤ and ≥.

Therefore,

–3(2x – 5) < 5(2 – x)

open the brackets

- 6x + 15 < 10 - 5x

Lets solve further by subtracting 15 from both sides of the inequality.

- 6x + 15 < 10 - 5x

- 6x + 15 - 15 < 10 - 15 - 5x

- 6x < - 5 - 5x

add 5x to both sides of the inequality.

- 6x < - 5 - 5x

- 6x + 5x < - 5 - 5x + 5x

-x < - 5

divide both sides by  -1

Therefore,

x > 5

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The solution of the given inequality is x > 5 which is the correct representation of x > 5 or –6x + 15 < 10 – 5x.

The inequality is given in the question as

–3(2x – 5) < 5(2 – x)

Open the parenthesis and apply the distributive property of multiplication,

⇒ - 6x + 15  <  10 - 5x

Subtract 15 from both sides of the above inequality,

⇒ - 6x + 15 - 15 < 10 - 15 - 5x

⇒ - 6x < - 5 - 5x

Add 5x to both sides of the inequality,

⇒ - 6x + 5x < - 5 - 5x + 5x

⇒ -x < - 5

Multiply both sides by  -1 and flip the sign of inequality

⇒ x > 5

Therefore, the solution of the given inequality is x > 5.

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2.2 = 2.6 - 0.4 is 1 standard deviation below the mean, and 3 = 2.6 + 0.4 is 1 standard deviation above it. Then by the empirical rule, the percentage of students with GPA between 2.2 and 3 is

Pr [2.2 ≤ X ≤ 3] = Pr [-1 ≤ Z ≤ 1] ≈ 68%

(where Z is normally distributed with mean 0 and s.d. 1)

Answer:

3/8 shortening

1/4 salt

1 1/8 granulated sugar

1/4 baking soda (or 3/4 if that is 1 1/2 t from the original recipe)

1/8 eggs

1 c cake flour

1/4 vanilla extract

food coloring

1/8 butter flavoring

1- A = 23.55

2- In the 7th payment, the interest is $50 and the principal is $193.55.

To find the value of A, we can use the formula for calculating the monthly payment on a loan. Given that you took a loan of $5000 for 24 months at an interest rate of 1% per month, we can substitute these values into the formula. By doing so, we find that A is equal to $23.55.

To determine the interest and principal in the 7th payment, we need to understand how loan payments are typically structured. Each monthly payment consists of both interest and principal components. Initially, the interest portion is higher, while the principal portion gradually increases over time.

In this case, we know the loan amount is $5000, and the loan term is 24 months. To find the interest and principal in the 7th payment, we need to calculate the remaining balance after the 6th payment.

To calculate the remaining balance after the 6th payment, we subtract the total amount paid from the initial loan amount. The total amount paid after 6 payments can be calculated by multiplying the monthly payment (A) by the number of payments (6). In this case, 6 * $23.55 equals $141.30.

Next, we subtract the total amount paid ($141.30) from the initial loan amount ($5000) to get the remaining balance, which is $4858.70.

Now, we can calculate the interest in the 7th payment. Since the interest rate is 1% per month, the interest for the 7th payment can be found by multiplying the remaining balance ($4858.70) by 1% (0.01), resulting in $48.59. Therefore, the interest in the 7th payment is $48.59.

To find the principal in the 7th payment, we subtract the interest ($48.59) from the monthly payment ($23.55). This gives us $174.96. However, we need to adjust the principal amount to match the remaining balance after the 6th payment. Therefore, we subtract the remaining balance after the 6th payment ($4858.70) from $174.96 to find the adjusted principal, which is $193.55.

In summary, in the 7th payment, the interest is $48.59 and the principal is $193.55.

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The value of x from the figure shown is 2.19

According to the Pythagoras theorem, the square of the hypotenuse is equivalent to the sum of the square of other two sides.

From the given diagram, the expression below is true;

6^2 = 3^2 + (3+x)^2

Determine the value of x

36 = 9 + (9+6x + x^2)

36 = 18 +6x+x^2

x^2 + 6x - 18 = 0

On factorizing, the value of x is expressed as;

x = -3 + 3√3
x = -3 + 3(1.732)

x = 2.19

Hence the value of x from the figure shown is 2.19

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True. In a negatively skewed polygon, the tail of the distribution trails off to the left, indicating that there are more scores towards the higher end of the distribution. This means that the majority of the scores are concentrated towards the right side of the distribution, while the left side is elongated and stretched out.

In a negatively skewed distribution, the mean is typically less than the median, and both of these measures are less than the mode. This is because the tail on the left side pulls the mean towards lower values. For example, in a negatively skewed income distribution, the majority of individuals may have lower incomes, but there could be a few extremely high earners that create a long tail on the left side of the distribution.

To visualize a negatively skewed polygon, imagine a line graph where the left side is stretched out and trails off towards lower scores, while the right side is relatively compact. This indicates that the majority of the scores are concentrated towards higher values, with a smaller proportion of scores towards the lower end. It is important to note that the concept of skewness describes the shape of the distribution and is independent of the scale of the data.

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Answer:

The diffrence is that 4 3/4 is greater then 3 1/2 because if you take 4 by itself by 3 then 4 will 4 because the whole number is greater so their for the intier answer will be greater. 3 1/2 is less then 4 3/4 because the whole number is lower so their for the answer is less.

Step-by-step explanation:

I hop i helped you also if i did do it right may i get brainliest

a.) The probability that the girls play at least 3 games is 0.36.

b.) The probability that the girls play 5 games is 0.1024.

c.) On the second day the girls are expected to play more games of Monopoly.

Probability is the branch of discrete mathematics. It is used for calculating how likely an event is to occur or happen.

We know that,    P ( E )   +   P ( \(E^{'}\) )    =   1

         where,     P ( E )  =   Probability of possible outcomes

                           P ( \(E^{'}\) ) =  Probability of impossible outcomes

                   ⇒    P ( E )   =   1   -   P ( \(E^{'}\) )        →  1

a.) Probability that the girls play at least 3 games

                          P ( E )   =   1   -   P ( \(E^{'}\) )  

                                       =   1   -   ( 2/5 + 3/5 × 2/5 )

                                       =   1   -   ( 0.4 + 0.6 × 0.4 )

                                       =   1   -   ( 0.64 )

                          P ( E )   =  0.36    

b.) Probability that the girls play 5 games

                           P ( E )   =    ( 5 1 )  ×  0.2  ×  \((0.8)^{3}\)  ×  0.2

                                        =    ( 5 1 )  ×  0.2  ×  0.512  ×  0.2

                                        =    ( 5 1 )  ×  0.02048

                           P ( E )    =    0.1024

c.) The day on which girls played more games of monopoly

⇒ Number of games to be played on the first day   =   1 / 0.4

                                                                                     =   2.5

⇒ Number of games to be played on the second day   =   2 / 0.2

                                                                                            =   10

Therefore, 0.36 is the probability that the girls play at least 3 games, 0.1024 is the probability that the girls play 5 games and the girls are expected to play more games of Monopoly on the second day.

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Answer:

QUESTION:

I need help on this pleaseee...

ANSWER:

2 pairs of pants = $18

4 pairs of pants = $36

6 pairs of pants = $54

1 pair of pants = $6

Step-by-step explanation:

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Answer:

2 pairs are 18

4 pairs are 36

6 pairs are 48

1 pair is 6

Step-by-step explanation:

Complete question is;

A mechanic sells a brand of automobile tire that has a life expectancy that is normally​ distributed, with a mean life of 34,000 miles and a standard deviation of 2500 miles. He wants to give a guarantee for free replacement of tires that​ don't wear well. How should he word his guarantee if he is willing to replace approximately​ 10% of the​ tires?

Answer:

The mechanics worded guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Step-by-step explanation:

Let X = Life expectancy of the automobile tire

For the normal distribution, we are given;

μ = 34000

σ = 2700

Let y miles be the minimum miles of the tyres which the mechanic guarantees that he will replace if it's last less than that.

Now, since the mechanic is willing to replace approximately 10% of the tires, y would be such that:

P(X ≤ y) = 0.1

Using the z formula, we have;

P[(X - μ)/σ) ≤ [(y - μ)/σ] = 0.1

Thus;

P(Z ≤ ([y - μ]/σ) = 0.1

From z-distribution table the Z-score at 0.1 is approximately -1.2816

This is P(Z ≤ -1.2816)

Thus;

[y - μ]/σ = -1.2816

(y - 34000)/2500 = -1.2816

y - 34000 = -1.2816 × 2500

y - 34000 = -3204

y = 34000 – 3204

y = 30796

So, we conclude that the mechanic will guarantee that the tyre will be replaced if it lasts less than or equal to 30796 miles.

Answer:

A straight line is represented by a linear equation.

The possible equations are:

\mathbf{3y = 2x + 4}3y=2x+4 .

\mathbf{y = \frac 23x + \frac{4}{3}}y=

3

2

x+

3

4

.

\mathbf{y = \frac 23(x - 1) + 2}y=

3

2

(x−1)+2 .

\mathbf{y = \frac 23(x - 4) + 4}y=

3

2

(x−4)+4

The points are given as:

\mathbf{(x,y) = \{(1,2),(4,4)\}}(x,y)={(1,2),(4,4)}

Start by calculating the slope (m)

\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}m=

x

2

−x

1

y

2

−y

1

So, we have:

\mathbf{m = \frac{4-2}{4-1}}m=

4−1

4−2

\mathbf{m = \frac{2}{3}}m=

3

2

The equation in slope intercept form is then calculated as:

\mathbf{y = m(x - x_1) + y_1}y=m(x−x

1

)+y

1

So, we have:

\mathbf{y = \frac 23(x - 1) + 2}y=

3

2

(x−1)+2

or

\mathbf{y = \frac 23(x - 4) + 4}y=

3

2

(x−4)+4

Expand \mathbf{y = \frac 23(x - 1) + 2}y=

3

2

(x−1)+2

\mathbf{y = \frac 23x - \frac 23 + 2}y=

3

2

x−

3

2

+2

Take LCM

\mathbf{y = \frac 23x + \frac{-2 + 6}{3}}y=

3

2

x+

3

−2+6

\mathbf{y = \frac 23x + \frac{4}{3}}y=

3

2

x+

3

4

Multiply through by 3

\mathbf{3y = 2x + 4}3y=2x+4

So, the possible equations are:

\mathbf{3y = 2x + 4}3y=2x+4 .

\mathbf{y = \frac 23x + \frac{4}{3}}y=

3

2

x+

3

4

.

\mathbf{y = \frac 23(x - 1) + 2}y=

3

2

(x−1)+2 .

\mathbf{y = \frac 23(x - 4) + 4}y=

3

2

(x−4)+4

The coordinates of P are (-0.82, 3.56).

The coordinates of M are (-2.1, -2.2).

The midpoint of a line segment is written as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) are the coordinates of the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

R = (4.3, 7.4)

T= (-8.5, -2.2)

S = (4.3, -2.2)

Segment RT is divided into 5 equal parts.

So,

TP : PR = 3 : 2 = m : n

The coordinates of P.

T= (-8.5, -2.2) = (a, b)

R = (4.3, 7.4) = (c, d)

x = \(\frac{mc + na}{m + n}\)

x = \(\frac{3\times4.3 + 2\times-8.50}{5}\)

x = \(\frac{12.9 - 17}{5}\)

x = \(\frac{-4.1}{5}\)

x = -0.82

And,

y = \(\frac{md + nb}{m + n}\)

y = \(\frac{3\times7.4 + 2\times-2.2}{5}\)

y = \(\frac{22.2 - 4.4}{5}\)

y = 3.56

The coordinates of P are (-0.82, 3.56).

Now,

T= (-8.5, -2.2)

S = (4.3, -2.2)

M is the midpoint of TS.

So,

M = (x, y)

x = \(\frac{(4.3 - 8.5)}{2}\) = \(\frac{x-4.2}{2}\) = -2.1

y = \(\frac{-2.2 - 2.2}{2}\) = \(\frac{-4.4}{2}\) = -2.2

M = (x, y) = (-2.1, -2.2)

Thus,

The coordinates of P = (-0.82, 3.56).

The coordinates of M = (-2.1, -2.2).

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Answer:

The answer is (-3.38,1.64),(-0.82,-2.2)

Step-by-step explanation:

I just got it right on the test

The bacteria in culture grows with time, as 0-100, 1-200, 2-400. The equation that best suits here for the bacteria is \(y = (100) (2^{t})\). Option B is correct.

By analyzing the table provided in the question i.e. on day 0 the bacteria is 100, on day 1 the bacteria grows 200 , on day  2 the bacteria grows 400 , it means it is growing as fast as the day increases.

Now,

The best equation that suits here is \(y = (100) (2^{t})\)

Putting the values in the equation to check,

putting t = 0,

\(y = (100) (2^{0})\) = 100

putting t = 1,

\(y = (100) (2^{1})\) = 200

putting t =2

\(y = (100) (2^{2})\) = 400

However, this equation best suits the table.

hence, The equation that best suits here for the bacteria is \(y = (100) (2^{t})\). Option B is correct.

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The question is -

bacteria in a culture are growing exponentially with time, as shown in the table below.

day | Bacteria

0     |      100

1      |      200

2     |      400

Write an equation to express the number of bacteria, y, present at any time, t.

a. y=100 + \(2^{t}\)

b. \(y = (100) (2^{t})\)

c. y= \(2^{t}\)

d. y=200 (\(2^{t}\))

Answer:

14

Step-by-step explanation:

Answer: I Think it's 20%

Answer:

216

Step-by-step explanation:

Answer:

(4+4)= 8 essa é resposta para mim mas não sê si esta certa

Answer:

options 4 and 6 I believe