Six friends go to the local sandwich shop. All six people
order the combination meal, which includes a drink and a
veggie wrap for $4.95. One person thinks the total bill for
all six friends will be around $20.00.
Is this a reasonable estimate? Why?

Answer:

10

Step-by-step explanation:

k represents how many places the graph will be shifted. -k means that is being shifted to the right and positive means being shifted to the left.

So when moving 10 units to the right, k will equal 10

Answer:

its 10

Step-by-step explanation:

The sampling distribution model for figuring out how many people in this group might not pay on time is:

E. mean = 8%; standard deviation = 1.1%.

The steps to determine the mean and standard deviation of the sampling distribution of the proportion of clients who may not make timely payments would be:

Start with the idea that 8% of the loans will have payments that are late. So the percentage of people who pay late is p = 0.08.

Calculate the sample size, which is given as n = 600.

Determine the mean of the sampling distribution. The mean of the sampling distribution of the proportion of late payments is equal to the population proportion, which is 0.08.

Find the standard deviation of the distribution of the samples. The standard deviation is discovered by taking the square root of the commodity of the sample size and the percentage of late payments in the whole population (1 - percentage of late payments in the whole population) and dividing it by the sample size:

σ = √( (p * (1-p)) / n )

σ = √( (0.08 * 0.92) / 600 ) ≈ 0.011

So, the answer will be option E. mean = 8%; standard deviation = 1.1%.

Learn more about Sampling Distribution Model Mean here:

https://brainly.com/question/20935438

#SPJ4

Answer:

349.8^x

Step-by-step explanation:

330*1.06=349.8

Answer:

6% increase

Step-by-step explanation:

Answer:

about 0.14

Step-by-step explanation:

4.99/35=

please give brainliest

Answer:

0.14

Step-by-step explanation:

Answer:

I'm sorry, but this isn't clear. Maybe remake the layout you wrote? Because 3 3 4 doesn't make sense.

\(\huge\boxed{Hi\: there!}\)

3 as an improper fraction: 3/1.

Remember, an improper fraction is a fraction where the numerator is larger than the denominator.

\(\huge\boxed{Therefore, \: 3 \: as \: an \: improper\: fraction\: is: \frac{3}{1} }\)\(\huge\bold{Good \: luck\: with \: your\: studies! :)}\\\huge\bold{Answered \:by: \: An\: Unknown \: Dreamer}\)

The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

Learn more on compound interest here: https://brainly.com/question/21487182

#SPJ1

Based on the above,  Ebony’s bank balance is $400 was Day 8 and this can be explained below.

Note that the scenario for the above to occur is:

On day 4, her balance = $400

On day 5, her balance = $400

On day 6, her balance = $400

On day 7, her balance = $400

On day 8, her balance = $400

Another fact is that since she deposited 400 at first, on day 8, there will be 0 increase so the amount will still be 400.

Therefore, if the above is the case, one can deduce the fact that her balance will still be $400.

Learn more about Estimation from

https://brainly.com/question/107747

#SPJ1

Answer:

22.5

Step-by-step explanation:

7 1/4 × 2

=29

29+81/2

=69.5

69.5 - 2

=67.5

67.5÷3

=22.5

The value of expression is -56/67.

We can use the tangent addition formula to find tan(a + b) using the given values of tan(a) and tan(b). The formula is:

tan(a + b) = (tan(a) + tan(b)) / (1 - tan(a) * tan(b))

Plugging in the values, we get:

tan(a + b) = (8/5 + 7) / (1 - (8/5) * 7)

= (56/5) / (-27/5)

= -56/27

Therefore, tan(a b) = tan(a + b) / (1 - tan(a) * tan(b)) = (-56/27) / (1 - (8/5) * 7) = -56/67. So the answer is -56/67.

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

The cost of four and three-fourths pounds of beef is $18.95.

Given,

Amount of beef purchased = 4 and 3/4th  pounds.

Cost of beef per pound = $3.99

We need to find how much four and three-fourths pounds of beef cost.

Find the cost of 1 pound of beef.

1 pound = $3.99

We can write four and three-fourths as:

= 4 3/4

= 19/4

Find the cost of 19/4 pounds of beef.

1 pound = $3.99

Multiplying by 19/4 on both sides.

19/4  x 1 pound = 19/4 x $3.99

19/4 pounds =$18.95

Thus the cost of four and three-fourths pounds of beef is $18.95.

Learn more about finding the cost of items in fractions here:

https://brainly.com/question/19567125

#SPJ1

Answer:

The problem is about cases of diabetes in old people through months.

The variable is descrete , because it doesn't admit decimal numbers, it represents people, and people are whole numbers.

The frequency table would be

January                       24

February                     30

March                          20

April                             18

May                             28

June                             12

The total number of people is 132.

The mean would be the total number of people divided by the six months.

\(\mu = \frac{132}{6} =22\)

Therefore, the mean is 22 people per month.

Remember that the median is the value at the center of the data set, which is between March and April, so

\(\frac{20+18}{2}=19\)

Therefore, the mean is 19.

The third statistical value is determined by the major frequency. So, the data that repeats the most is February, which means that month encloses the majority of people.

Answer:

B = 40 - 8t

Step-by-step explanation:

Given that:

Rate at which battery life discharges = 8% per hour ;

Battery life left after 3 hours = 16%

t = hours after Lucy left hiuse

Equation B will be ;

Amount of charge before leaving home - (Discharge rate * number hours)

Amount of charge before leaving home :

Charge left after 3 hours + discharge rate * 3

16% + 8*3

16% + 24% = 40%

Hence,

B = 40 - 8t

Answer:

probably B = 40 - 8t

Step-by-step explanation:

Answer:

Sierra would have 16 points

Step-by-step explanation:

5×4=20

8×\(\frac{1}{2}\)=4

20-4=16

Answer:

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} \)

Step-by-step explanation:

Given the rational expression: \( \frac{2x + 3}{x^2 - 5x + 4} \), to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

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

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

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

\( x(x - 4) - 1(x - 4) \)

\( (x- 1)(x - 4) \)

Thus, we now have: \( \frac{2x + 3}{(x- 1)(x - 4)} \)

Step 2: Apply the concept of Partial Fraction

Let,

\( \frac{2x + 3}{(x- 1)(x - 4)} \) = \( \frac{A}{x- 1} + \frac{B}{x - 4} \)

Multiply both sides by (x - 1)(x - 4)

\( \frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4) \) = \( (\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4) \)

\( 2x + 3 = A(x - 4) + B(x - 1) \)

Step 3:

Substituting x = 4 in \( 2x + 3 = A(x - 4) + B(x - 1) \)

\( 2(4) + 3 = A(4 - 4) + B(4 - 1) \)

\( 8 + 3 = A(0) + B(3) \)

\( 11 = 3B \)

\( \frac{11}{3} = B \)

\( B = \frac{11}{3} \)

Substituting x = 1 in \( 2x + 3 = A(x - 4) + B(x - 1) \)

\( 2(1) + 3 = A(1 - 4) + B(1 - 1) \)

\( 2 + 3 = A(-3) + B(0) \)

\( 5 = -3A \)

\( \frac{5}{-3} = \frac{-3A}{-3} \)

\( A = -\frac{5}{3} \)

Step 4: Plug in the values of A and B into the original equation in step 2

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4} \)

\( \frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)} \)

Answer:

Step-by-step explanation:

Given the rational expression: , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

Thus, we now have:

Step 2: Apply the concept of Partial Fraction

Let,

=

Multiply both sides by (x - 1)(x - 4)

=

Step 3:

Substituting x = 4 in

Substituting x = 1 in

Step 4: Plug in the values of A and B into the original equation in step 2

Step-by-step explanation:

Answer:

1. Median

2. Altitude

3.  Altitude

4. Neither

Step-by-step explanation:

Median- splits the side into two congruent parts

Altitude- Makes a right  angle

1. Splits the side. Median

2. Makes a right angle. Altitude

3.  Makes a right angle. Altitude

4. Doesn't make a right  angle or split the sides. Neither

Answer:

The radius would be 12cm

and the height 4

gives u the surface area of 1206cm^3

Step-by-step explanation:

The True statement about hypothesis testing is: d) The critical value depends on the significance level.

In hypothesis testing, the critical value is the threshold value used to determine whether to reject or fail to reject the null hypothesis. It is chosen based on the desired significance level, which represents the maximum acceptable probability of committing a type I error (rejecting the null hypothesis when it is true). The critical value is compared to the test statistic to make the decision.

The significance level, denoted by α, is determined by the researcher before conducting the hypothesis test and represents the acceptable level of risk for making a type I error. It is typically set to a small value, such as 0.05 or 0.01.

The test statistic, on the other hand, is calculated based on the observed data and the specific hypothesis being tested. It is used to assess the evidence against the null hypothesis and determine whether it is sufficiently significant to reject it.

Therefore, the correct statement is that the critical value depends on the significance level, as it is chosen to control the probability of making a type I error.

Therefore the correct option is d)

To learn more about hypothesis refer here:

https://brainly.com/question/29576929#

#SPJ11

The given graph is shown below:

Given GraphFrom the graph above, it can be observed that the given function is continuous at every point except at

x = -1.85.

Hence, the required interval notation and set-builder notation are:

Interval notation:

(-∞, -1.85) U (-1.85, ∞)

Set-builder notation:

{x | x < -1.85 or x > -1.85}

Therefore, the required interval notation and set-builder notation are:

(-∞, -1.85) U (-1.85, ∞) and {x | x < -1.85 or x > -1.85}, respectively.

To know more about interval  visit:

https://brainly.com/question/11051767

#SPJ11

Answer:

Solutions: x = 7, y = 9;  or (7, 9)

Step-by-step explanation:

Given the following systems of linear equations:

7x - 8y = -23

7x - 7y = -14

Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.

    7x - 8y = -23

-   7x - 7y = -14    

             -y = -9  

Divide both sides by -1 to solve for y:

\(\frac{-y}{-1} = \frac{-9}{-1}\)

y = 9

Substitute the value of y into either one of the given equations to solve for x:

7x - 7y = -14

7x - 7(9) = -14

7x - 63 = -14

Add 63 to both sides:

7x - 63 + 63 = -14 + 63

7x = 49

Divide both sides by 7 to solve for x:

\(\frac{7x}{7} = \frac{49}{7}\)

x = 7

Double-check whether x = 7 and y = 9 are valid solutions to the given system:

x = 7, y = 9:

7(7) - 8(9) = -23

49 - 72 = -23

-23 = -23 (True statement).

7(7) - 7(9) = -14

49 - 63 = -14

-14 = -14 (True statement).

Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).

Part A:
The height (h) of the trapezoid is half the length of the shorter base (b), so h = (1/2)b.
The longer base is twice the length of the shorter base, so the longer base is 2b.
Given: 4 yd + 2 yd + 2 yd + b = 8 yd (since the sum of all sides of the trapezoid is equal to the perimeter of the display board)
Solving for b, we get:
b = 2 yd
Substituting this value in the equation for h, we get:
h = (1/2)(2 yd) = 1 yd
Therefore, the length of the height is 1 yd and the length of the longer base is 4 yd.

Part B:
The formula for the area of a trapezoid is A = (1/2)(h)(b1 + b2), where h is the height and b1 and b2 are the lengths of the two bases.
Using the values from Part A, we have:
A = (1/2)(1 yd)(2 yd + 4 yd)
A = (1/2)(1 yd)(6 yd)
A = 3 yd^2
Therefore, the area of Darren's display board is 3 yd^2.

To know more about trapezoid refer here

https://brainly.com/question/8643562#

#SPJ11

The population of students in Baltimore will be 4329 in 5 years.

Exponential growth is a function that shows an increase within a population that occurs at the same rate over time.

Given that, the current student population of Baltimore is 2000, the population increases at a rate of 16.7% each year.

We need to find the student population in 5 years

To find the same, we will use, exponential growth model for the future population P(x) where x is in years, is given by,

A = P(1+r)ⁿ

Where,

A = final population

P = initial population

r = rate, n =time

A = 2000(1+0.167)⁵

A = 2000(1.167)⁵

A = 4328.967

A ≈ 4329

Hence, the population of students in Baltimore will be 4329 in 5 years.

Learn more about exponential growth, click;

https://brainly.com/question/1596693

#SPJ1

An independent variable is a variable that is independent of the other factors you are attempting to assess.

An independent variable is a variable that is independent of the other factors you are attempting to assess. Age is just one example of an independent variable. Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age. In actuality, you are attempting to determine whether the independent variable affects the dependent variables in any way when you are looking for a link between the variables.

To learn more about independent variable link is here

brainly.com/question/29430246

#SPJ4

The transformation that maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 2.

A transformation can be defined as the movement of a point on a cartesian coordinate from its original (initial) position to a new location.

In Geometry, there are different types of transformation and these include the following:

Based on similarity transformation of both quadrilateral 1 and quadrilateral 2, we can infer and logically deduce that the transformation which directly maps quadrilateral 1 onto quadrilateral 2 is a translation followed by a dilation with a scale factor of 2, as shown in the image attached below.

Read more on transformations here: brainly.com/question/27939466

#SPJ1

Answer:

2/3

Step-by-step explanation:

Hey there!

Well in the equation,

y = 2/3x - 3

the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.

Hope this helps :)

Answer:

1/2

Step-by-step explanation:

You should inverse the slope and multiply by -1

Answer:

2

Step-by-step explanation:

Given

f(x) = | x - 4 | - 9, then

f(- 7) = | - 7 - 4 | - 9

        = | - 11 | - 9 ( absolute value returns a positive value )

        = 11 - 9

        = 2

SOLUTION

The triangle in the picture has two sides to be equal. This means that the triangle is an isosceles triangle.

The base angles of an isosceles triangle are equal.

This implies that angle C = B = 49 degrees

So both angles B and C are 49 degrees each.

Now let's find angle A

A + B + C = 180 degrees (sum of angles in a triangle)

Then

The line bisects angle A into two equal triangles, that is angle y and the angle at the other side

This means that

Now let's find x.

Angles x, y, and B make up a triangle. This means that

Therefore, x = 90, and y = 41

The Accounting Rate of Return (ARR) for the new expansion project is 44.95%. The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment.

The Accounting Rate of Return for the project, given the data, is calculated below: The Accounting Rate of Return (ARR) is used by businesses to assess the profitability of a given investment. ARR is calculated by dividing the average accounting profit (before tax and interest) by the average investment. It is also known as the average rate of return, which is the average net income of the investment over its life, divided by the amount of the initial investment. In other words, ARR is the profit per year, divided by the initial investment, expressed as a percentage. It helps businesses to identify the potential return of their investment and make better decisions about whether to pursue a project or not.

In the given question, Transload Pty Ltd, a haulage company, has tasked you with analyzing and evaluating a new expansion project’s profitability. To calculate the Accounting Rate of Return, the first step is to calculate the average accounting profit of the project. The average accounting profit is the sum of the cash inflows over the life of the project, minus the depreciation expense, divided by the life of the project. In this case, the life of the project is seven years. Using the figures given in the question, we can calculate the average accounting profit:

Year 1: R1 150 000

Year 2: R1 270 000

Year 3: R1 300 000

Year 4: R1 210 000

Year 5: R1 320 000

Year 6: R1 325 000

Year 7: R1 325 000

Total cash inflows over the life of the project = R9 900 000

Average accounting profit = (R9 900 000 - R857 142*) / 7

= R1 348 661*Depreciation:

R6 000 000 / 7 years = R857 142

The next step is to calculate the average investment for the project. In this case, the average investment is the initial investment minus the scrap value, divided by two. The scrap value is assumed to be zero in this case because it was not provided in the question.

Average investment = (R6 000 000 - 0) / 2= R3 000 000

Finally, the Accounting Rate of Return (ARR) can be calculated by dividing the average accounting profit by the average investment, expressed as a percentage:

ARR = (R1 348 661 / R3 000 000) x 100%

ARR = 44.95%

Therefore, the Accounting Rate of Return (ARR) for the new expansion project is 44.95%.

To know more about Accounting Rate of Return visit: https://brainly.com/question/31851841

#SPJ11

Answer:

y = -.25x + 12

Step-by-step explanation:

Subtract x on both sides.

y = -.25x + 12

There is your answer. The "1" before the y doesn't need to be written, as a rule in algebra, ones do need to be written and are assumed to be there if there is no number at all.

-.25 is the slope and 12 is the y-intercept.

Answer:

x=0, yes.

Step-by-step explanation:

3x+8=5x+8

5x-3x+8=8

2x+8=8

2x=8-8

2x=0

x=0/2

x=0

Answer: yes

Explanation: To decide whether 0 is a solution for

this equation, we can simply plug a 0 in for x.

If the statement holds true, then 0 is a solution.

Plugging in 0 for x, we have 3(0) + 8 = 5(0) + 8.

Now since anything times 0 is 0, we have 8 = 8.

Since 8 = 8 is a true statement, 0 is a solution.