(a) Bob wants to open a new fastfood shop. He estimates he needs to spend at least $100,000 on renovation and buying commercial kitchen appliances. The average running cost per customer (for food, staff salary, etc.) is $7. Each customer spends $15 on average.

(i) If the number of customers is n, write down the cost function and revenue function as functions of n.

(ii) Determine the minimum number of customers for the business to breakeven.

(iii) Bob has to borrow $100,000 from a bank with interest rate of 3% p.a. with interest payable monthly. If Bob does not repay a single cent, how much does Bob owe the bank after 3 years?

Answer:

The answer is 4 1/17 !! I like your pfp btw :>

The  probability space and that e1 and e2 are events satisfying e1 ∪ e2 = s, p(e1) = 1/5, and p(e1 ∩ e2) = 1/30.The  p(e2) is 0.8333.

In chance principle, a probability space or a probability triple. is a mathematical construct that offers a formal model of a random manner or "test". for example, you can still outline an opportunity area that fashions the throwing of a die.

A chance area fashions random occasions and is made of three parts: pattern space: the set of all possible results. as an example, in case you toss a coin twice, the pattern space is {HH, HT, TH, TT}. The sample space is every so often denoted by way of the Greek letter omega (Ω).07-Jan-2017

A finite probability space is a fixed S and a feature p: S → R ≥zero such that p(s) > 0 (∀s ∈ S) and ∑ p(s) = 1. We re. page 1. A finite probability area is a set S and a characteristic p: S → R≥0 such that p(s) > 0. (∀s ∈ S) and ∑

Given E1 and E2 events S is the probability space

And given E1∪ E2 =S

P(E1)=1/5 and P(E1 ∩ E2 )=1/30

From given P(E1∪ E2)=P(S)

From probability axioms P(S)=1

Therefore P(E1∪E2) =1

      P(E1)+ P(E2)- P(E1 ∩E2)= 1

      (1/5) + P(E2) - (1/30) = 1

   P(E2 )= 1-(1/5) +(1/30)= 0.8333

Therefore P(E2)= 0.8333

Learn  more about probability space here https://brainly.com/question/14596023

#SPJ4

Answer:

\(36\)

Step-by-step explanation:

Given

\(x^2 - 12x = 21\)

Required

Make a perfect square

First, get the coefficient (k) of x

\(k = -12\)

Divide by 2

\(\frac{k}{2} = \frac{-12}{2}\)

\(\frac{k}{2} = -6\)

Square this result:

\((\frac{k}{2})^2 = (-6)^2\)

\((\frac{k}{2})^2 = 36\)

Hence, 36 when added to the left-hand side makes it a perfect square trinomial

The value of k at which there are an infinite number of solutions to the equation is -10.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. a formula that expresses the connection between two expressions on either side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 = 2.

Here,

For infinitely many solutions,

a1/a2  =  b1/b2  =  c1/c2

therefore, 10/20 = 5/10 = (-k-5)/(-k)

⇒1/2 = -(k+5)/-(k)

⇒ 1/2  =  k+5/k

⇒  k =  2(k+5)

⇒  k = 2k + 10

⇒ -10= 2k - k

⇒ k = -10

The value of k for which the equation have infinitely many solutions is -10.

To know more about equation,

https://brainly.com/question/2228446

#SPJ4

Answer:

   32. 40%

   33. 15%

   34. 1/5

   35. 1/4

Step-by-step explanation:

Question 32

Question 33

Question 34

Question 35

Answer:

32.  40%

33.  15%

34.  1/5

35.  1/4

Step-by-step explanation:

Given:

⇒ Total poultry = 27 + 72 + 45 + 36 = 180

\(\sf Percentage = \dfrac{Part}{Whole}\times 100\)

\(\implies \sf Hens = \dfrac{72}{180}\times 100=40 \%\)

\(\implies \sf Geese= \dfrac{27}{180}\times 100=15 \%\)

\(\sf Fraction= \dfrac{Part}{Whole}\)

\(\implies \sf Ducks=\dfrac{36}{180}=\dfrac{36 \div 36}{180 \div 36}=\dfrac{1}{5}\)

\(\implies \sf Turkeys=\dfrac{45}{180}=\dfrac{45 \div 45}{180 \div 45}=\dfrac{1}{4}\)

we have equation A

3(x+2)=18

Divide both sides by 3

we have

3(x+2)/3=18/3

x+2=6

the answer is the option A

divide both sides by the same non zero constant

Answer:

More than likely it looks like a right angle or 90 degrees so the answer is mostly 51.

Step-by-step explanation:

90 - 39 = 51

Answer:

Step-by-step explanation:

it looks like  an isosceles triangle, 2 equal side and 2 equal angles (F&E)

the sum of the interior angles in a triangle is 180°, and FH is 180°.

180 - 120 = 60° (angle G)

now we know that it is an equilateral triangle, so Y and 2x are 60°

(3 * 60 = 180°)

-------------------------------

or

180 - 60 = 120

120 : 2 = 60°

Answer: 35 or 50

Step-by-step explanation: This one actually has 2 answers. On the first draw, you are most likely to draw a quarter. On the second draw, you have and equal probability of drawing either a dime or a quarter. That is, if you do not replace the first coin. If you do, the answer is 50 cents.

Answer:

8

Step-by-step explanation:

x=7

7+1=8

Answer:

8

Step-by-step explanation:

x=7 so, it would be 7+1=8

Answer:

2

Step-by-step explanation:

Answer:

You can try E, G, D, N, L, and F. I will help you if you have any questions on it, but I will give you a little hint that do the way I did. It will make it much more easy to understand it. Hope this helps, thank you :) !!

Answer:

C. x= 4

Step-by-step explanation:

|x + 3| = 7

x + 3 = 7

x = 7 - 3

x = 4

Answer:

x = 4

Step-by-step explanation:

|x + 3| = 7

=> x + 3 = 7

=> x = 7 - 3

=> x = 4

Answer:

As a result, the correct answer is b.

Step-by-step explanation:

To determine which statement must be true about the function F, let's analyze the given options:

a. F has a differentiable inverse function H, and H'(f/4) = f(0).

b. None of them.

c. F has a differentiable inverse function H, and H'(0) = (1/2)f(1/4).

d. F does not have an inverse function.

We need to consider the properties and conditions provided in the question.

The function F is defined as F(x) = tan(x) * f(arctan(s)) ds. Here are some important observations:

The range of F is (0, +∞), which means the function takes positive values only.

The given interval for f is (-1/2, 1/2), and the range of F is (0, +∞). This suggests that F is a strictly increasing function.

Based on these observations, we can eliminate options a and d. Option a suggests that F has a differentiable inverse function, but it doesn't specify any conditions related to the properties of F. Option d states that F does not have an inverse function, which is not consistent with the properties of F.

Now let's consider option c. It states that F has a differentiable inverse function H, and H'(0) = (1/2)f(1/4). This option provides specific information about the derivative of the inverse function at a particular point. However, the information given in the question does not provide any direct relation between the values of F and its inverse function. Therefore, we cannot determine the validity of option c based on the given information.

As a result, the correct answer is b. None of the given statements can be determined to be true based on the information provided.

The correct option is the standard deviations of the variables.

What is correlation?

Any statistical relationship between two random variables or bivariate data, whether causal or not, is referred to in statistics as correlation or dependence.

Correlation is a term used to describe the linear relationship between two entities. When using a correlation tool, the variables must be present in quantities of two or more to test their relationship (degree of association).

In order to scale the measurement between two variables connected to a similar sample, the standard deviation measures dispersion.

The variables' standard deviations are the best choice as a result.

Option involving the standard errors of the variables is incorrect because standard error, which stands for standard deviation, determines the relationship between dependent and independent variables.

Option involving the coefficients of variation of two variables is incorrect because the coefficient expressing standard deviation and mean ratio determines how much variation there is.

Option The means of the variables are incorrect because they are not a scale for determining the correlation between two variables.

Hence, the correct option is the standard deviations of the variables.

To know more about correlation, click on the link

https://brainly.com/question/2088651

#SPJ4

Complete question:

The correlation between two variables related to the same sample is a scaled quantitative measure. What is used to scale this measurement?

- the standard deviations of the variables

- the standard errors of the variables

- the coefficients of variation of the two variables

- the means of the variables

According to Weber's law, two items must differ in weight by "5 percent"of weight in order to detect a difference.

We are given that Weber's law

For weight discrimination, Weber’s law states that the JND is proportional to the weight of the stimulus.

The JND is defined as the smallest difference between two weights that can be detected by an observer.

The proportionality constant is known as Weber’s fraction and varies depending on the type of stimulus and the sensory modality involved.

For weight discrimination, Weber’s fraction is typically around 2-3%.

This means that two items must differ in weight by approximately 2-3% of their weight in order to detect a difference.

The difference of weight in percent is 5%, the correct option is A.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ4

Answer:

30

Step-by-step explanation:

yes I can tell what it is

The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.

According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.

If the two triangles are similar we would have:

75/50 = 45/x

Cross multiply and find x

x = (45 × 50)/75

x = 30

Thus, the value of x would be: C. 30.

Learn more about the SSS similarity theorem on:

https://brainly.com/question/4163594

#SPJ9

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

38 muffins were sold by noon.

Answer:

38 muffins were sold

Step-by-step explanation:

percents can always be turned into fractions so 95% is actually just 0.95, you multiply that to 40 and you get 38, meaning 38 muffins were sold

Let's calculate the total cost of all the items purchased by the computer club:

Cost of 14 portfolios = 14 * $24.59

Cost of 14 binders = 14 * $12.92

Cost of 14 school sweatshirts = 14 * $14.00

Cost of 14 music cases = 14 * $1.25

Cost of 14 phone cases = 14 * $1.99

Cost of 14 mouse pads = 14 * $2.14

Total cost of all items = Cost of 14 portfolios + Cost of 14 binders + Cost of 14 school sweatshirts + Cost of 14 music cases + Cost of 14 phone cases + Cost of 14 mouse pads

Plugging in the given values:

Total cost of all items = (14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14)

Now, the computer club will pay for 40% of the total cost. To calculate this, we can multiply the total cost by 40% (or 0.40):

Club's payment = 0.40 * Total cost of all items

The remaining cost will be divided equally among the 14 members:

Remaining cost per member = (Total cost of all items - Club's payment) / 14

Plugging in the values and calculating:

Club's payment = 0.40 * ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14))

Remaining cost per member = ((14 * $24.59) + (14 * $12.92) + (14 * $14.00) + (14 * $1.25) + (14 * $1.99) + (14 * $2.14) - Club's payment) / 14

So, each member of the computer club will owe the calculated value for "Remaining cost per member".

Hope this is good

Two and five hundredths is:

Answer:The scatter plot shows the number of years of experience, x, and the hourly pay rate, y, for each of 24 cashiers in California.(a) Write an approximate equation of the line of best fit for the data. It doesn't have to be the exact line of best fit.(b) Using your equation from part (a), predict the hourly pay rate for a cashier with 18 years of experience.

Answer:

Expressions 1, 3, and 4 all equal \(x^{15}\)

Step-by-step explanation:

See the attached worksheet.

Answer:

first, third and fourth

Step-by-step explanation:

using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\)

then

\((x^3)^{5}\) = \(x^{3(5)}\) = \(x^{15}\) ← true

\((x^{\frac{1}{3})^5 }\) = \(x^{\frac{1}{3}(5) }\) = \(x^{\frac{5}{3} }\) ≠ \(x^{15}\)

\((x^\frac{1}{3}) ^{45}\) = \(x^{\frac{1}{3}(45) }\) = \(x^{15}\) ← true

\((x^5)^{3}\) = \(x^{5(3)}\) = \(x^{15}\) ← true

\((x^13)^{2}\) = \(x^{13(2)}\) = \(x^{26}\) ≠ \(x^{15}\)

If the probability that a player makes a free throw is 0.4, the probability that they do not make a free throw is 1 – 0.4 = 0.6.

The probability that a player makes three consecutive free throws is 0.4 × 0.4 × 0.4 = 0.064. If a player attempts three free throws, there are three possible outcomes: make all three, miss one and make two, or miss two and make one.

The probability of making all three is 0.064, the probability of missing one and making two is 0.4 × 0.4 × 0.6 + 0.4 × 0.6 × 0.4 + 0.6 × 0.4 × 0.4 = 0.288, and the probability of missing two and making one is 0.6 × 0.6 × 0.4 + 0.6 × 0.4 × 0.6 + 0.4 × 0.6 × 0.6 = 0.432.

Therefore, the probability of leaving the court in three attempts is 0.064 + 0.288 + 0.432 = 0.784. If a player misses all three attempts, they will have to try three more times, and the probability of leaving the court in six attempts is 0.784 + 0.064 × 0.288 × 0.432 = 0.861.

If a player misses all six attempts, they will have to try three more times, and the probability of leaving the court in nine attempts is 0.861 + 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 = 0.926.

If a player misses all nine attempts, they will have to try three more times, and the probability of leaving the court in twelve attempts is 0.926 + 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 × 0.064 × 0.288 × 0.432 = 0.974.

Since the probability of leaving the court in twelve attempts is greater than 0.9, the probability of leaving the court in ten or fewer attempts is greater than 0.9. Therefore, the probability that a player can leave the court in 10 or fewer attempts is greater than 0.9.

To know more about probability click on below link:

https://brainly.com/question/30034780#

#SPJ11

Answer: x=13,3

Step-by-step explanation:

Answer:

Let's use variables to represent the unknowns:

Let x be the number of psychology textbooks sold.

Then, the number of history textbooks sold is 2x (twice the number of psychology textbooks sold).

The problem tells us that the total number of textbooks sold is 237, so we can set up an equation:

x + 2x = 237

Simplifying and solving for x:

3x = 237

x = 79

Therefore, 79 psychology textbooks were sold and 2x = 158 history textbooks were sold.

Step-by-step explanation:

Answer:

(x-2) (x+1) (x+4)

Step-by-step explanation:

x^3+3x^2-6x-8

Rearranging the terms,

(x^3 - 8) + (3x^2 - 6x)

a^3 - b^3 = (a-b) (a^2 + ab + b^2)

(x^3 - 8) = (x^3 - 2^3) = (x-2) (x^2 + 2x + 4)

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

So, x^3 + 3x^2 -6x -8

= (x-2) (x^2 + 2x +4) + 3x(x-2)

(x-2) is the common factor,

= (x-2) ( x^2 +2x+4 + 3x)

= (x-2) (x^2 + 5x + 4)

= (x-2) (x^2 + 4x + x + 4)

= (x-2) (x(x+4) +1(x+4))

= (x-2) (x+1) (x+4)

Answer:

Answer Below

Step-by-step explanation:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Answer:

tan(D): yes

sin(F): yes

Cos(F): no

Sin(D): no

Step-by-step explanation: Solve for values of all, then check if the equation makes sense.

The probability of flipping exactly 14 heads from 20 coin flips is about 3.70%. When there are a limited number of possible outcomes as opposed to all possible outcomes.

it is possible to calculate a theoretical probability for those outcomes. In this case, the theoretical probability would serve as the foundation for the null hypothesis.

Creating a null hypothesis based on theory or recent observations is required for hypothesis testing. Following that, a competing theory are put forth, and sample can be used to try to support or refute it.

A magician demonstrates his claim that his coin will result more in heads than tails with a sample of 20 coin flips.

A. The null hypothesis H0 is the following: frequency of heads = 0.5 (50% heads based on theoretical probability for a fair coin to a head and tail)

According to the claim, the alternative hypothesis Ha will be: frequency of heads > 0.5.

A specific significance level, like 5%, can be used to conduct the test. This N = 40 sample would be subject to a Student's t - test with N-1 degrees of freedom.

If this sample rejects the null hypothesis, it's likely that the magician utilizes a counterfeit coin with a greater than 50% chance of coming up heads.

P(E) = (Number of favorable outcomes) (Sample space).

To know more about probability click here

brainly.com/question/15124899

#SPJ4

Answer:

domain = {-6,-7,-7,-7}