Several students decide to start a T-shirt company. After initial expenses of $280, they purchase t-shirts wholesale for $3.99. They sell each T-shirt for $10.99. How many must they sell to break even?

The range, variance, and standard deviation are 8, 21.10, 445.21.

The range, variance, and standard deviation are 99, 40.14,1612

What is data?

Data is a collection of measurements or observations used as a source of information. There are numerous types of data and numerous ways to represent data.

Given data is

43, 41, 48, 47, 49

Arrange them in ascending order:

41, 43, 47, 48,49

The range is (49 - 41) =8

The mean is (41+43+47+48+49)/5 =45.6

Data      deviation from mean    square  deviation

41                         4.6                         21.16

43                         2.6                        6.76

47                         -1.4                        1.96

48                         -2.4                        5.76

49                         -3.4                        11.56

Total                                                  47.2

The standard deviation is s = √[(x-μ)²/N] = 21.10

The variance is s² = 445.21

Given data is

100, 1, 3, 95, 70, 4, 6, 10, 5

Arrange them in ascending order:

1, 3, 4, 5, 6, 10, 70, 95, 100

The range is (100 - 1) = 99

The mean is (1+3+4+6+5+10+70+95+100)/9 =32.67

Data      deviation from mean    square  deviation

1                         31.67                         1002.99

3                         29.67                       880.31

4                         28.67                        821.97

5                        27.67                         756.63

6                         26.67                        711.29

10                         22.67                      513.93

70                        -37.33                       1393.52

95                        -62.33                      3885.03

100                         -3.33                        4533.33

Total                                                     14508.0001

The standard deviation is s = √[(x-μ)²/N] = 40.14

The variance is s² = 1612

To learn more about variance, click on the below link:

https://brainly.com/question/21133077

#SPJ4

The graph of equation is in image.

When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."

There are linear equations with one and two variables, respectively.

Given equations

2x + 3y = 5

4x - 5y = -1

For equation 1

2x + 3y = 5

The table of values appears as follows

x    1     -2    4

y    1      3    -1

Coordinates for equation 2

4x - 5y = -1

The table of values as thus

x    1     2    -4

y    1     1.8   -3

And the intersection point of equation is (1, 1)

Hence the graph of equation is intersecting at (1, 1).

Learn more about graph of linear equations on https://brainly.com/question/28494690

#SPJ1

Answer:

D. Normality of the estimator (e.g., sample mean)

To learn more about confidence intervals visit;

https://brainly.com/question/22556522

#SPJ4

The question was incomplete. Check below the complete question.

Which of the following is the necessary condition for creating confidence intervals for the population mean? A. Known population parameter B. Normality of the population C. Known standard deviation of the estimator D. Normality of the estimator (e.g., sample mean)

Answer: A= 216

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

they are congruent so they are equal to eachotjer

The total square footage (area) of the apartment is 385 square feet.

The total square footage, also known as the area, of an apartment is a measure of how much space the apartment has.

First, let's find the area of the 11ft by 11ft bedroom. To do this, we multiply the length and the width of the room. In mathematical terms, the area of a rectangle is equal to the length times the width. So, for the bedroom, the area is

=> 11ft * 11ft = 121 square feet.

Next, let's find the area of the 4ft by 6ft bathroom. The formula for the area of a rectangle is still the same, so the area of the bathroom is

=> 4ft * 6ft = 24 square feet.

Finally, we'll find the area of the multi-use living room/kitchen, which is 15ft by 16ft. The area of this room is

=> 15ft * 16ft = 240 square feet.

Now that we have the area of each room, we can add them together to find the total area of the apartment. So, the total area is

=> 121 square feet + 24 square feet + 240 square feet = 385 square feet.

To know more about area here.

https://brainly.com/question/14994710

#SPJ4

The conjecture that describes the pattern in each sequence is *10, the next item in the sequence. 1, 10, 100, 1000 is 10000.

Suppose the initial term of a geometric sequence is a

and the term by which we multiply the previous term to get the next term is r

Then the sequence would look like

\(a, ar, ar^2, ar^3, \cdots\)

 (till the terms to which it is defined)

Thus, the nth term of such sequence would be  T_n = ar^{n-1} (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).

Given;

The following sequence that can be used in our computation:

1,10,100,1000

In the above sequence, we can see that 4 is added to the previous term to get the current term

Using the above as a guide,

Next term = 1000*10

Evaluate

Next term = 10000

Therefore, the next term of sequence will be 10000.

Read more about sequence at;

brainly.com/question/7882626

#SPJ1

The estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

To estimate the probability of finding at most 50 acceptable circuits in a batch of 60 from a certain factory, where the probability of passing the quality test is (p = 0.8) and the outcomes of the tests are mutually independent, we can use the Central Limit Theorem (CLT).

The CLT states that for a large enough sample size, the distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.

Let's denote (X) as the number of acceptable circuits in a batch of 60. Since each circuit passes the test with a probability of 0.8, we can model (X) as a binomial random variable with parameters (n = 60) and (p = 0.8).

To estimate the probability of finding at most 50 acceptable circuits, we can calculate the cumulative probability using the normal approximation to the binomial distribution.

Since the sample size is large \((\(n = 60\))\), we can approximate the distribution of (X) as a normal distribution with mean \(\(\mu = np = 60 \times 0.8 = 48\)\) and standard deviation \(\(\sigma = \sqrt{np(1-p)}\) = \(\sqrt{60 \times 0.8 \times 0.2} \approx 4.90\).\)

Now, we want to find the probability of\(\(P(X \leq 50)\)\). We can standardize the value using the z-score:

\(\[P(X \leq 50) = P\left(\frac{X - \mu}{\sigma} \leq \frac{50 - 48}{4.90}\right) = P(Z \leq 0.41)\]\)

Using the standard normal distribution table or calculator, we can find that \(\(P(Z \leq 0.41) \approx 0.6591\).\)

Therefore, the estimated probability of finding at most 50 acceptable circuits in a batch of 60 is approximately 0.6591.

Learn more about probability

brainly.com/question/32117953

#SPJ11

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ1

A relation's origin is represented as an ordered pair.

(-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2) are all ordered pairs that reflect the same function (4, 3)

A composite of the x coordinate and the y coordinate, an ordered pair has two values that are stated in a defined order between parenthesis. In order to have a better understanding of what is being shown on the screen, it is helpful to identify a point on the Cartesian plane.

Either of the following conditions must be true for an ordered pair to constitute a function:

Every x-value has precisely one matching y-value, or "one-to-one."

This is a many-to-one relationship, meaning that several x-values map to the same set of y-values.

The ordered pair is not a function if and only if both of the following are false

A one-to-many relationship means that for every x-value, there may be many y-values.

Many x-values map to many y-values; the relationship is many-to-many.

Only the ordered pair (5, -2) meets the criteria for a function out of the possibilities (5, -4), (3, 4), (2, -2), (4, 3), and (-4, -2).

This is because no x-values in its range have more than one associated y-value.

One-to-many and many-to-many ordered pairings make up the rest of the set.

To learn more about ordered pairs, check out :

brainly.com/question/13688667

CQ

Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

Answer:

31800

Step-by-step explanation:

53000*0.6

The value of x would be the weight at which 90% of the athletes weigh more than x kg, which is equal to 0.9 times the total number of athletes.

Given that 90% of the athletes weigh greater than x kg, we may apply a proportion to get the value of x.

Let's assume that the variable n represents the total number of athletes. As 90% of athletes fall into this category, we can then denote the number of athletes who weigh greater than x kg as 0.9n.

We must ascertain the weight at which 90% of the athletes weigh more than x kg in order to estimate the value of x. To create a proportion, we can utilize the overall number of athletes and the proportion of those who weigh more than x kg:

\(\begin{equation}\frac{0.9n}{n} =\) (Weight more than x kg) ÷ (total number of athletes = n)

We can simplify this proportion to:

0.9 = (weight more than x kg) ÷ n

We can then solve for the weight more than x kg by multiplying both sides of the equation by n:

0.9n = weight more than x kg

As a result, the value of x would be equal to 0.9 times the total number of athletes and would be the weight at which 90% of the athletes weigh more than x kg. The distribution of weights among the athletes is assumed to be continuous and normally distributed for the sake of this calculation.

Find out more about normal distribution

brainly.com/question/17199694

#SPJ4

Answer:

B)

Step-by-step explanation:

Answer: the answer is B hope this helps

Step-by-step explanation:

The probability that exactly two of them are delivered to the correct houses as calculated from the data is 4/24 = 1/ 6.

The total number of ways to deliver four packages can be found out by taking the factorial of 4 , i.e., the permutation of 4.

4 × 3 × 2 × 1 = 4!

= 4P4

= 24

A permutation is a referred to as a specific arrangement of items. The set members and elements are arranged in a sequence in a permutation. For example, the permutation of set A=1,6 is 2, as in 1,6,1. There are no alternative ways to arrange the items in set A.

In permutation, the elements must be arranged in a particular sequence, whereas in combination, the order of the elements is irrelevant.

To calculate the permutation we calculate it's factorial.

To learn more about permutation

brainly.com/question/1216161

#SPJ4

Answer:

b) second place is your anser

Answer:

B) 2nd place

Step-by-step explanation:

Answer:

bsbskskndbsksne dbandn fbsjzbrbxbsbebfbznqnfkfjjejw

Answer:

3x^4 + 4 / x - 2

Step-by-step explanation:

(3x³x+4) /(x − 2)

3(x ⋅ x^3) + 4 / x - 2

3x^4  + 4 / x - 2

We can't simplify anymore, so the answer is 3x^4 + 4 / x - 2

Answer:

less than, more than, more than, more than (in order)

Step-by-step explanation:

It depends on the number you're multiplying to 6 3/4.

For example, for the first one, the equation is 6 3/4 x 1/2.

Since 1/2 is less than 1, the answer will be less than 6 3/4.

If If Mr. Laura can buy 2.4 kg of sugar for his bakery and then he pours 0.4 kg of sugar in a separate bags, he can make 6 bags of sugar by pouring 0.4 kg of sugar into each bag.

If Mr. Laura bought 2.4 kg of sugar and he pours 0.4 kg of sugar into each bag, then the number of bags of sugar he can make can be calculated using the formula:

Number of bags = Total amount of sugar / Amount of sugar per bag

Using this formula, we can calculate the number of bags of sugar that Mr. Laura can make as:

Number of bags = 2.4 kg / 0.4 kg per bag

Number of bags = 6 bags

To learn more about quantity click on,

https://brainly.com/question/13379898

#SPJ4

Answer:

the second table on the bottom

Step-by-step explanation:

To be a function the points have to pass the horizontal line test.

When you plot the graph of a function, then draw a horizontal line across the graph. If the horizontal line touches the graph only once, then the function does have an inverse function.

Answer:

second one: EFG NML

THIRD: 82°

Answer:

(A + B) x 0.045

Step-by-step explanation:

Solve the equation and leave the variables

We will simplify the left hand side of the equation to look like the right

\(\displaystyle \frac{1-sin(t)}{cos^{2}(t)} + \frac{1}{1 - sin(t)}\)

taking the LCM

\(\displaystyle \frac{[1-sin(t)]^{2} + cos^{2}(t)}{[cos^{2}(t)][1 - sin(t)]}\)

expanding the binomial in the numerator

\(\displaystyle \frac{[1 + sin^{2}(t) - 2sin(t) + cos^{2}(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

Since sin²x + cos²x = 1

\(\displaystyle \frac{[2 - 2sin(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

factoring out the 2 from the numerator

\(\displaystyle \frac{2[1 - sin(t)]}{[cos^{2}(t)][1 - sin(t)]}\)

1-sin(t) will cancel out

\(\displaystyle \frac{2}{cos^{2}(t)}\)

since cos²(t) = 1/(sec²(t))

\(2 sec^{2}(t)\)

which is equal to the right hand side of our given equation.

So we verified the identity!

Answer:

\(\rm 2 \sec {}^{2} T\)(Verified identity)

Step-by-step explanation:

Please refer to the attachment for calculations.

I hope this helps!

Answer:

\(3-4ln(x)\)

Step-by-step explanation:

\(ln(\frac{e^3}{x^4})\\ \\ln(e^3)-ln(x^4)\\\\3ln(e)-4ln(x)\\\\3(1)-4ln(x)\\\\3-4ln(x)\)

Remember to review logarithm rules

Let's begin by listing out the given information:

The graph is a curve that crossed the y-intercept

It cannot be a quadratic function. The graph does not cross the x-intercept twice

It cannot be a cube root function. The graph does not cross the x-intercept thrice

It cannot be a linear function because it is not a straight line

The graph is the graph of an exponential function (the graph has the x-axis as an asymptote on the left, and increases very fast on the right)

The value of each share of common stock, rounded to the nearest penny, is approximately $66.61 according to the given information and values in the question.

step by step:

To calculate the value of each share of common stock using the Discounted Cash Flow (DCF) valuation model, we need to discount the expected future cash flows to their present value and subtract the market value of the outstanding debt. The formula for calculating the value of each share of common stock is:

Value per Share = (Present Value of Future Cash Flows - Debt) / Number of Common Shares

To calculate the present value of future cash flows, we discount each cash flow using the cost of capital.

Let's calculate the present value of future cash flows and the value per share of common stock:

Year 1: FCF = $250,000

Year 2: FCF = $300,000

Year 3: FCF = $350,000

Year 4: FCF = $400,000

Year 5: FCF = $450,000

\(Year 6 onwards: FCF = $450,000 * 1.022^(Year - 5)\)

Cost of Capital = 6.65%

Outstanding Debt = $3,833,340

Number of Common Shares = 60,797

First, let's calculate the present value of future cash flows:

\(PV = FCF / (1 + r)^n\)

where:

PV = Present Value

FCF = Future Cash Flow

r = Cost of Capital

n = Number of years

\(Year 1:PV1 = $250,000 / (1 + 0.0665)^1 ≈ $234,837.45Year 2:PV2 = $300,000 / (1 + 0.0665)^2 ≈ $268,084.17Year 3:PV3 = $350,000 / (1 + 0.0665)^3 ≈ $301,706.42Year 4:PV4 = $400,000 / (1 + 0.0665)^4 ≈ $335,693.63Year 5:PV5 = $450,000 / (1 + 0.0665)^5 ≈ $369,035.06Year 6 onwards:PV6 = $450,000 * 1.022^(Year - 5) / (1 + 0.0665)^Year\)

Now, let's calculate the total present value of future cash flows:

\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)\)

∑(PV6) represents the sum of present values for Year 6 onwards, up to infinity. Since we have a constant growth rate of 2.2%, we can use the perpetuity formula to calculate this sum:

\(∑(PV6) = PV6 / (r - g)\)

where:

r = Cost of Capital

g = Growth rate

\(∑(PV6) = PV6 / (0.0665 - 0.022) = PV6 / 0.0445Now, let's calculate PV6 and ∑(PV6):PV6 = $450,000 * 1.022^1 / (1 + 0.0665)^6 ≈ $303,212.65∑(PV6) = $303,212.65 / 0.0445 ≈ $6,820,510.11\)

Next, let's calculate the total present value:

\(Total PV = PV1 + PV2 + PV3 + PV4 + PV5 + ∑(PV6)Total PV = $234,837.45 + $268,084.17 + $301,706.42 + $335,693.63 + $369,035.06 + $6,820,510.11Total PV ≈ $8,329,866.84\)

Finally, let's calculate the value per share of common stock:

Value per Share = (Total PV - Debt) / Number of Common Shares

Value per Share = ($8,329,866.84 - $3,833,340) / 60,797

Value per Share ≈ $66.61

Learn more about Discounted Cash Flow (DCF) valuation model:

https://brainly.com/question/29432958

#SPJ11

Answer:

how should we help?

Step-by-step explanation:

Answer:

dang that sucks..... try and play music at max vol and see if you hear any music coming from anywhere that's probably were the airpods are, if they are in the case then i dont know if u would hear anything. It all depends...

~ i hope this has helped ya out some how, hope ya find your airpods my friend!~

Step-by-step explanation:

A written outline that details the major and minor parts of a film, marked by numbers and letters, is called a script or screenplay.


A script or screenplay is a written document that serves as a blueprint for a film. It outlines the major and minor parts of the story, including dialogue, actions, and settings. The parts of the script are typically marked using numbers for major sections and letters for subsections.

The script provides a clear structure for the film, guiding the director, actors, and crew in bringing the story to life on screen. It acts as a roadmap for the production, ensuring consistency and coherence in the storytelling process. The script is an essential tool in the filmmaking process and serves as the foundation for translating the written words into a visual and auditory experience for the audience.

Learn more about Numbers here: brainly.com/question/24908711
#SPJ11

Answer:

It will be at 33.3333 repeating so if you estimate the answer is y = 33

Step-by-step explanation:

The next 3 terms of 1/2, 1/4, 1/8 are 1/16, 1/32 and 1/64.

Number is a concept used in mathematics to represent a quantity or an amount. It can be used to describe anything from the exact number of objects in a collection to the amount of money in a bank account. Numbers can be used to measure, count, or compare different items or amounts. They can also be used to describe relationships between objects or values. For example, the number 2 can be used to represent a relationship between two objects, such as a pair of shoes.

These terms are obtained by dividing each of the previous terms by 2. This is called a geometric sequence, and each term is obtained by multiplying the previous term by 1/2.

To know more about number click-
https://brainly.com/question/24644930
#SPJ1


Complete questions as follows-
List the next 3 terms of 1/2, 1/4, 1/8