on monday a jacket cost 36.95 and a shirt cost 21.42 on friday the jacket was discounted by 20% and the shirt was discounted by 1/3 what is the total price of the jacket and shirt on friday,before sales tax?

Answer:

20m^2

Step-by-step explanation:

multiply the side lengths

The average size of a customer's bill at a restaurant that earns daily $3,250 for the meals that it sells to 200 customers is $16.25. Therefore, the right answer is option (c).

The average or mean is calculated by taking the ratio of the total sum of the outcomes of an event to the frequency or the number of times the event occurs.

It can be written as \(\frac{n_1+n_2+.....+n_a}{a}\).

In the given question, the sum of the customer bill is given as $3,250.

And the number of customers served is given to be 200.

Therefore, the average size of a customer's bill is calculated by \(\frac{3250}{200}\)

Which turns out to be $16.25.

Learn more about Average:

https://brainly.com/question/28798526

#SPJ4

The answer is $16.25. To find the average size of a customer's bill, you would divide the total earnings by the number of customers.
$3,250 / 200 customers = $16.25 per customer.

To find the average size of a customer's bill at the restaurant, you need to divide the total daily earnings by the number of customers. Here's a step-by-step explanation:

1. The restaurant earns $3,250 daily from the meals it sells.
2. The restaurant serves 200 customers daily.

Now, calculate the average bill size:

3. Divide the total daily earnings ($3,250) by the number of customers (200).

$3,250 ÷ 200 = $16.25

The average size of a customer's bill at the restaurant is $16.25.

To learn more about average size : brainly.com/question/773358

#SPJ11

Answer:

C

Step-by-step explanation:

we have to solve the associated equation:

(x+5)(2x-8) = 0

a product is equal to 0 if at least one of its factors is equal to 0

so we can solve this two equations

x + 5 = 0    x = -5

2x - 8 = 0.   x-4 = 0      x = 4

The profit-maximizing output level and the associated profit are both zero.

What is the equivalent expression?

Equivalent expressions are expressions that perform the same function despite their appearance. If two algebraic expressions are equivalent, they have the same value when we use the same variable value.

To find the minimum value of SRATC, we need to first find the expression for SRATC:

SRATC = SRTC/q = (200 + 109 + 2q)/q = 309/q + 2

To minimize SRATC, we need to differentiate it with respect to q and set it equal to zero:

d(SRATC)/dq = -309/q² = 0

Solving for q, we get q = √(309).

Substituting q back into the expression for SRATC, we get the minimum value of SRATC:

\(SRATC_{min}\) = 309/√(309) + 2 ≈ 17.22

Therefore, the value of q that minimizes SRATC is √(309) and the minimum cost value of SRATC is approximately $17.22.

If the market price is $90, the profit-maximizing value of q can be found by setting marginal cost equal to price:

MC = d(SRTC)/dq = 109 + 4q/3 = 90

Solving for q, we get q = (3/4)(90 - 109) = -14.25, which is not a feasible value since q has to be non-negative.

Therefore, the firm would not produce any output at a price of $90.

If we assume that the firm can produce any positive amount of output, the profit-maximizing value of q would be where marginal cost equals marginal revenue, which is also equal to price under perfect competition.

Since marginal revenue equals price for a perfectly competitive firm, we have:

MR = price = $90

Setting MR = MC, we get:

90 = 109 + 4q/3

Solving for q, we get q = (3/4)(90 - 109) = -14.25, which is not a feasible value.

Therefore, the firm would not produce any output at a price of $90, regardless of the assumption of being able to produce any positive amount of output.

Hence, the profit-maximizing output level and the associated profit are both zero.

To learn more about the equivalent expression visit:

https://brainly.com/question/2972832

#SPJ4

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln 20 + ln 5 = 2 ln x

⇒ ln(20×5) = lnx²

⇒ ln100 = lnx²

Take anti logarithms on both sides,

⇒ 100 = x²

Taking the square root,

⇒ x = 10

Hence, the true solution is x = 10.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ6

Answer:

<o=180-132=48

so,<s=24(The angle at the circumference is half of its corresponding angle at center)

Answer:

185

Step-by-step explanation:

10 x 15 = 150

The area of the rectangle is 150

17-10=7 meaning the legnth of the top part of the triangle is 7

15-5=10 meaning the height of the trangle is 10

10 x 7 =70

70/2=35

The area of the triangle is 35

35 + 150 = 185

The total area is 185

To turn something into the slope-intercept form

  ⇒ must know the slope-intercept form ⇒ \(y = mx +b\)

To convert our current form into slope-intercept form

 ⇒ must solve for 'y'

    ⇒ (in other words) move everything to one side and 'y' by itself on the

    other

        \(3y - 9x = -81\\3y =9x-81\\y = 3x - 27\)

     *purely extra information (not necessary for final answer)

Slope-intercept form: y = 3x - 27

Hope that helps!

Answer:

Determine the solutions of the equation. What solution makes sense for the situation?

x = 8

width = 8inches

length = 13

Answer:

Step-by-step explanation:

-5a-4a+b

-5a-4a are like terms

-5a-4a+b

-9a+b

please mark this answer as brainlist

Answer:

D.120

Step-by-step explanation:

The sides AB and AC are equal and thus the angles they form with BC should be equal . Since now angle ABC is 30 then application of sum of angles in a triangle as a constant(180 degrees) we can subtract 60 degrees from it which gives 120

Inferring from the provided mean and standard deviation that 15.62 percent of Caribbean weddings have a budget of less than $8,000 is our best guess.

We can use the properties of the normal distribution.

Given:

Mean (μ) = $9000

Standard deviation (σ) = $995

Let's imagine we want to calculate the proportion of Caribbean weddings that are less expensive than X dollars.

We must use the following formula to determine X's z-score in order to determine this percentage:

z = (X - μ) / σ

Once we know the z-score, we may use a statistical calculator or the conventional normal distribution table to determine the corresponding cumulative probability.

Let's estimate the proportion of Caribbean weddings that cost less than $8000, for illustration.

z = ($8000 - $9000) / $995

z = -1.005

We may determine that the cumulative probability corresponding to z = -1.005 is roughly 0.1562 using the usual normal distribution table.

To convert this into a percentage, we multiply by 100:

Percentage = 0.1562 * 100

Percentage ≈ 15.62%

Therefore, Inferring from the provided mean and standard deviation that 15.62 percent of Caribbean weddings have a budget of less than $8,000 is our best guess.

Learn more about normal distribution here : brainly.com/question/23418254

#SPJ4

Answer:

-7.925

Step-by-step explanation:

We can use the sample proportion of tankers without spills (146/211 = 0.692) to estimate the population proportion of tankers without spills. To construct the confidence interval, we need to find the margin of error and the critical value for an 80% confidence level.

Follow these steps:

1. Calculate the sample proportion:
In the sample of 211 tankers, 146 did not have spills, so 211 - 146 = 65 tankers had spills. The sample proportion (p-hat) is the number of tankers with spills divided by the total sample size:
p-hat = 65/211 ≈ 0.308

2. Determine the z-score for an 80% confidence interval:
Using a z-table or calculator, the z-score for an 80% confidence interval is approximately 1.282.

3. Calculate the standard error:
The standard error (SE) can be calculated using the formula: SE = sqrt(p-hat*(1-p-hat)/n)
SE = sqrt(0.308*(1-0.308)/211) ≈ 0.030

4. Construct the confidence interval:
Lower limit = p-hat - (z-score * SE)
Upper limit = p-hat + (z-score * SE)

Lower limit = 0.308 - (1.282 * 0.030) ≈ 0.277
Upper limit = 0.308 + (1.282 * 0.030) ≈ 0.339

So, the 80% confidence interval for the population proportion of oil tankers that have spills each month is approximately (0.277, 0.339), rounded to three decimal places.

To learn more about critical value :brainly.com/question/30168469

#SPJ11

The range of speeds that Eric would not drive at under the given conditions is from 0 mph up to 66 mph and from 74 mph to infinity.

Using the properties of absolute values, the given inequality can be written as follows:-4 ≤ x - 70 ≤ 4

Now add 70 to all parts of the inequality to obtain:66 ≤ x ≤ 74

Thus the range of speeds that Eric would not drive at under the given conditions is from 0 mph up to 66 mph and from 74 mph to infinity.

The given inequality is |x-70|≤4

It means that the absolute value of x-70 is less than or equal to 4.

So, -4≤x-70≤4x-70=-4 gives x=66x-70=4 gives x=74

So the solution is 66≤x≤74

Therefore the range of speeds that Eric would not drive at under the given conditions is from 0 mph up to 66 mph and from 74 mph to infinity.

To know more about inequality visit :-

https://brainly.com/question/20383699

#SPJ11

The value of the numbers given will be:

1. 108

2. 1618

1. The expression given will be calculated as:

= 97.83 - 4.378 + 5.92

= 98 + 4 + 6

= 108

2. 1,342.8+ 85.32 + 173.54 + 16

= 1343 + 85 + 174 + 16

= 1618

Learn more about numbers on:

brainly.com/question/24644930

#SPJ1

Sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to underestimate the true population variance and standard deviation.

The reason for this is that the sample variance and standard deviation are based on a sample of the population, not the entire population. The sample may not accurately represent the entire population, and thus the sample variance and standard deviation may not accurately reflect the true population variance and standard deviation. To correct for this bias, a correction factor is usually added to the sample variance calculation. For example, when estimating the population variance from a sample of size n, the sample variance is divided by (n-1) instead of n. This correction factor helps to provide a more accurate estimate of the population variance. Similarly, the sample standard deviation is calculated as the square root of the sample variance, and the correction factor is also applied to the sample standard deviation calculation. This corrected sample standard deviation is known as the unbiased sample standard deviation.

To learn more about standard deviation click here

brainly.com/question/29088233

#SPJ4

Complete Question

sample variance and standard deviation are considered biased estimates of population variance and standard deviation because they tend to: What?

Answer:

12

Step-by-step explanation:

1) Substitute x into the equation

To substitute you would need to multiply the number before it by 2 (in other questions it would be the value told that is x)

2) Put the numbers you have worked out into the equation

-6 + 1.5 + 5 - 4.5 + 16

3) Work out the final equation

Hope this helps, have a great day!

The price after the 9% markup can be calculated by adding 9% of the original cost to the original cost.

To find the markup amount, we multiply the original cost by 9% (or 0.09) which gives us: $5.99 * 0.09 = $0.5391.

Next, we add the markup amount to the original cost to find the final price: $5.99 + $0.5391 = $6.5291.

Therefore, the price after the 9% markup is $6.5291.

When a company applies a markup to the price of a product, it increases the original cost by a certain percentage. In this case, Clorox increases the price of their wipes by 9%.

To calculate the price after the markup, we find 9% of the original cost and add it to the original cost. The resulting amount represents the new price that customers would pay for the Clorox wipes.

In this example, the original cost is $5.99 and the 9% markup amounts to $0.5391, resulting in a final price of $6.5291.

To know more about percentage  click here

brainly.com/question/16797504

#SPJ11

Answer:

She is incorrect.

Step-by-step explanation:

She is incorrect.

An integer is a whole number, zero, and the opposites of the whole numbers. There cannot be a decimal part or fractional part to an integer.

Here are the integers:

..., -3, -2, -1, 0, 1, 2, 3, ...

-5.5 is not an integer.

Rachel's statement that -5.5 is an integer because it is negative is not correct because -5.5 is a rational number.

Given,

Rachel states that -5.5 is an integer because it is negative.

We need to find out whether Rachel's statement is correct and give a reason.

Integers are 0,±1, ±2, ±3, ±4, ±5, ±6, ±7, ±8,......

It includes all whole numbers.

We have,

-5.5 is a negative rational number.

Integer has no decimal point.

-5.5 is not an integer.

Thus Rachel's statement that -5.5 is an integer because it is negative is not correct.

Learn more about the difference between integers and rational numbers here:

https://brainly.com/question/13212492

#SPJ2

Answer:

The answer is \(\frac{5}{11}\\\) = 0.45; rounded up(to the nearest tenth) is 0.5

Step-by-step explanation:

The angle measure of a circle in radians is 2\(\pi\).

First, find the circumference of the circle in terms of \(\pi\).

The formula for the circumference of a circle is 2\(\pi\)r (2 × \(\pi\) × radius)

Then find the ratio of the arc length of the central angle to the circumference.

Arc length of the central angle = 5.

Circumference = 22\(\pi\)

The ratio of the arc length of the central angle to the circumference is equal to  \(\frac{5}{22\pi }\)

Now use that ratio to find the central angle in radians by multiplying it by the angle measure of the circle in radians.

\(\frac{5}{22\pi }\) × 2\(\pi\) = 5/11

Round to the nearest tenth:

\(\frac{5}{11}\) ≈ 0.4545 = 0.5

Answer:

Solution,

X=2

Now,

\( \frac{x - 6}{8} + 5 \\ = \frac{2 - 6}{8} + 5 \\ = \frac{ - 4}{8} + 5 \\ = \frac{ - 4 + 5 \times 8}{8} \\ = \frac{ - 4 + 40}{8} \\ = \frac{36}{8} \\ = \frac{9}{2} \)

hope this helps ..

Good luck on your assignment..

Answer: 12

Step-by-step explanation: 21-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1=12

The slope of the line perpendicular to the given line is equal to -4/1.

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Thus, the slope of the line perpendicular to the given line is equal to -4/1.

To know more about slopes visit: brainly.com/question/3605446

#SPJ4

The equation is in the form y=mx+b

so, y=(1/4)x -10

First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4

Multiplying 1/4 by -1 which is -1/4

Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1

Answer:

D

Step-by-step explanation:

Using the changing base formula, log base 2 raised to 7 can be written as log7/log2

The correct answer is D. log(7) / log(2).

To find the equivalent of log2(7), you can use the change of base formula for logarithms.

The change of base formula states that log base a of b is equal to log base c of b divided by log base c of a.

In this case, we want to find the equivalent of log2(7), so we can use the change of base formula with base 10 as follows:

log2(7) = log(7) / log(2)

Therefore, the correct answer is D. log(7) / log(2).

Learn more about logarithms click;

https://brainly.com/question/30226560

#SPJ6

Answer:

-10a-15b

Hope this helps!!!!

Answer:

Step-by-step explanation:

\( - 5(2a + 3b)\)

Expand : Use -5 to open the bracket

\( - 5 \times 2a = - 10a \\ - 5 \times 3b = - 15b \\ \\ - 10a - 15b\)