Suzanne has bought 5 bags of chips that she bought for $4.25. How much would it cost if she bought 11 bags of chips?

The mean for the number of people with the genetic mutation in such groups of 600 is 18.

Given that,

About 3% of the population has a particular genetic mutation.

This means that for any group of people, 3% of the people has a particular genetic mutation.

This is a binomial distribution.

Probability that people having genetic mutation = 3% = 0.03

Random sample size = 600

Mean for a binomial distribution can be calculated as,

Mean = n × p

         = 600 × 0.03

         = 18

Hence the mean number of people having genetic mutation is 18.

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Answer:

Taste

Step-by-step explanation:

In the challenge, participants were asked to taste cola from both Coke and Pepsi. They were to give a report on which of the two drinks tasted better.

The taste reported by the participants is dependent on the type of cola taken (either Coke or Pepsi).

Therefore, the taste is the dependent variable while the types of cola are the independent variables.

a. To calculate the anticipated level of profits, we need to calculate the total revenue and total variable costs for each product, and then subtract the total variable costs and fixed costs from the total revenue.

Chicken:

Total revenue = $3.90 x 201,000 = $783,900

Total variable costs = $1.95 x 201,000 = $392,295

Contribution margin = $391,605

Fish:

Total revenue = $5.30 x 303,000 = $1,607,900

Total variable costs = $2.65 x 303,000 = $803,295

Contribution margin = $804,605

Total contribution margin = $391,605 + $804,605 = $1,196,210

Total fixed costs = $107,000

Anticipated profits = Total contribution margin - Total fixed costs = $1,196,210 - $107,000 = $1,089,210

b. Weighted-average contribution margin = (0.42 x $1.95) + (0.58 x $2.65) = $2.36

Break-even volume = Total fixed costs ÷ Weighted-average contribution margin = $107,000 ÷ $2.36 = 45,339 tacos

c. If the product sales mix changes to four chicken tacos for each fish taco, then the new product mix is 80% chicken and 20% fish.

Weighted-average contribution margin = (0.80 x $1.95) + (0.20 x $2.65) = $2.06

Break-even volume = Total fixed costs ÷ Weighted-average contribution margin = $107,000 ÷ $2.06 = 51,942 tacos

Step-by-step explanation:

Let's first find the slope

(-5-2)/(5--1) = -7/6

the equation should be

\(y = \frac{ - 7}{6} x + c\)

To find c, we replace X with -1 and Y with 2

c= 5/6

So the equation is

\(y = \frac{ - 7}{6} x + \frac{5}{6} \)

And if you multiply everything by 6 you get

6y = -7x +5

The current stock price is $54.15.

Given that  RLX Company just paid a dividend of $2.85 per share on its stock and dividends are expected to grow at a constant rate of 4.5 percent per year, indefinitely.

Stock valuation alludes to the valuation of the natural worth per portion of an organization's stock which can help the organization in deciding its reasonable worth in case of twisting up or consolidation. One of the models used to esteem the stock cost is the profit development model. It expects the cost of the stock to be the current worth representing things to come profits of the stock accepted to develop at a consistent rate.

Dividend (D0) = $2.85

Growth rate (g) = 4.5%

Required return (r) = 10%

Firstly, we have to calculate the value of the current stock price.

The current stock price can be calculated by using the dividend growing model.

\(\begin{aligned}\text{Current stock price}&=\frac{D_{0}\times(1+g)}{r-g}\\ &=\frac{2.85\times (1+0.045)}{0.10-0.045}\\ &=\frac{2.85\times 1.045}{0.055}\\ &=\frac{2.97825}{0.055}\\ &=54.15\end\)

Hence, the current stock price when dividend of $2.85 are expected to grow at a constant rate of 4.5 percent per year, indefinitely is $54.15.

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Answer:

t = 17.5 f = 12

Step-by-step explanation:

If MNOP is a square, you know that each angle is going to be 90°. To solve, let's first set each equation equal to 90°:

\(90 = 4t + 20\)

and

\(90 = 7f + 6\)

Then solve both equations:

\(90 = 4t + 20 \\ 70 = 4t \\ 17.5 = t\)

and

\(90 = 7f + 6 \\ 84 = 7f \\ 12 = f\)

I hope that helps!

Answer:

1

Step-by-step explanation:

Figure EFGH is congruent to figure E'F'G'H'

Answer:

138 and 210?

Step-by-step explanation:

Answer:

1. 18 + 35

2. 6 * 50

3. b - 25

4. x / 4

5. t + 11

6. 100 - k

Step-by-step explanation:

Answer:

11 parts equal $4.95

Step-by-step explanation:

The Slope is -4.

The y-intercept is 5.

The equation of the line isy = -4x + 5

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

x  -6   -4   -2   0   2   4     6

y  29  21  13    5  -3  -11   -19

We can make ordered pairs:

(-6, 29), (-4, 21), (0, 5), and (2, -3).

Now,

Take any two ordered pairs.

(-6, 29( and (-4, 21)

m = (21 - 29) / (-4 + 6)

m = -8 / 2

m = -4

or

(0, 5) and (2, -3)

m = (-3 - 5) / (2 - 0)

m = -8/2

m = -4

So,

Slope = -4

Now,

We can make an equation from the table.

y = mx + c

Take any one ordered pair.

(0, 5) = (x, y)

5 = -4 x 0 + c

5 = 0 + c

c = 5

y-intercept = 5

So,

y = -4x + 5

Thus,

Slope = -4

y-intercept = 5

y = -4x + 5

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Answer:

A' (1,1)  

Step-by-step explanation:

In stead of being one unit to the left of the y axis (at point (-1,1), the point will now be one unit to the right of the y axis (1,1)

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

I have 3 red balls, 3 blue balls, and 3 yellow balls in a crate. All out of 9 balls.

If the three balls are picked randomly, then the probability of having at least 2 red balls in the 3 that I picked will be given as,

P = 3/9

P = 1/3

The probability of having at least 2 red balls in the 3 that I picked will be 1/3.

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Answer:

Simplifying

21p + 35q = 0

Solving

21p + 35q = 0

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-35q' to each side of the equation.

21p + 35q + -35q = 0 + -35q

Combine like terms: 35q + -35q = 0

21p + 0 = 0 + -35q

21p = 0 + -35q

Remove the zero:

21p = -35q

Divide each side by '21'.

p = -1.666666667q

Simplifying

p = -1.666666667q

The simplified expressiοn is  \(1 / 4s^2.\)

Expressiοns in math are mathematical statements that have a minimum οf twο terms cοntaining numbers οr variables, οr bοth, cοnnected by an οperatοr in between. The mathematical οperatοrs can be οf additiοn, subtractiοn, multiplicatiοn, οr divisiοn. Fοr example, x + y is an expressiοn, where x and y are terms having an additiοn οperatοr in between.

In math, there are twο types οf expressiοns, numerical expressiοns - that cοntain οnly numbers; and algebraic expressiοns- that cοntain bοth numbers and variables.

We can simplify the expressiοn as fοllοws:

\(2(st^3)^4 / 8s^6\)

\(= 2s^4t^12 / 8s^6(st^3)^4\) (using the pοwer οf a pοwer rule)

\(= 2s^4t^12 / 8s^6s^12t^12\)(using the pοwer οf a pοwer rule)

\(= 2 / 8s^2\) (cancelling οut the cοmmοn factοrs)

\(= 1 / 4s^2\)

Therefοre, the simplified expressiοn is  \(1 / 4s^2.\)

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Answer:

40% discount

Step-by-step explanation:

To find this remember the formula \(\frac{discount amount}{original price} = \frac{percent discount}{100}\)

To find the discount amount subtract $36 from $60 which is $24.

\(\frac{24}{60} = \frac{x}{100}\) next you have to cross multiply

24*100 = 2400 and 60*x = 60x

Now you have the equation 2400 = 60x

Divide both sides by 60 to isolate the variable

x = 40

Answer:

Step-by-step explanation:

\(-\frac{3}{8} = - 0.375\)

\(- \ 0.375\ > - \ 1\)

Negative 3 over 8 is located on the left of −1 and -1 is located on the right of negative 3 over 8.

ANSWER:

-3/8>-1 INDICATES THAT -3/8 IS TO THE RIGHT OF -1 IN THE NUMBER LINE.

Answer:

26

Step-by-step explanation:

h=21+5

h=26

The value of h will be 26, when p =7.

An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.

The method  in which, the value of one variable from one equation is substituted in the other equation. So that, a pair of the linear equation gets transformed into one linear equation with only one variable, which can then easily be solved. This method is called substitution method.

According to the given question we have

A linear equation in two variable

h = 3p + 5

So, the value of h when p = 7

Substitute, p = 7  in h = 3p + 5

⇒ h = (3 × 7) + 5

⇒ h = 21 + 5

⇒ h = 26

Hence, the value of h will be 26, when p =7.

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The answer to this question is -12x+20

Answer:

  \(\textsf{C}\quad f^{-1}(x)=24-6x\)

Step-by-step explanation:

You want the inverse function of f(x) = 24 -x/6.

The function relates x to y by y = f(x). The inverse function gives the reverse relation: x = f(y). Solving this for y gives the inverse function in the form you want.

  x = f(y)

  x = 4 -y/6 . . . . . use definition of f(x)

  6x = 24 -y . . . . multiply by 6

  y = 24 -6x . . . . add y-6x

  f⁻¹(x) = 24 -6x . . . . write using function notation

Answer:

Step-by-step explanation:

5x + 7x - 1/2x + 1/4 = 6

move x to one side move numbers to the other side

5x + 7x - 1/2 x = 6 - 1/4

add x and numbers

23/2x = 23/4

divide both side by 23/2

x = (23/4)/(23/2)

  = 1/2

plug it in to check the answer

5/2 + 7/2 - 1/4 + 1/4 = 6

12/2 = 6

A bias error is the difference between the expected value and the true value of the data.

The bias error of the given data is 0.1

Bias Error= Expected Value- True Value

Bias Error= 5.4-5.3

Bias Error= 0.1

The bias error is also known as systematic error.

The bias error can also be understood by the following.

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Answer:

.

Step-by-step explanation:

Answer:

Hi!

The graph will look something like this

I hope this helped you!

How will I answer that, the image isn't showing luv

Answer:

f(2) = 25

Step-by-step explanation:

f(x) = 5^x

f(2) = 5^2 = 5 * 5 = 25

f(2) = 25