not all of the 100 customers who walk into the c&a store per day will make a purchase. about 20% come to browse but not buy, 10% need assistance to complete a purchase, and 5% need assistance but leave without making a purchase. the other 65% purchase something without requiring assistance. c&a has one greeter (who greets every customer), two assistants (who deal with customers who need assistance), and two cashiers (who serve customers who purchase something). what is the total demand rate per day for assistants? multiple choice 20 15 10 100

Answer:

  18π cm² ≈ 56.5 cm²

Step-by-step explanation:

The area of the sector can be found using an appropriate area formula.

When the sector central angle is given in radians, the formula for the area of that sector is ...

  A = 1/2r²θ . . . . . . where θ is the central angle, and r is the radius

When the angle is in degrees, the formula will include a factor to convert it to radians:

  A = 1/2r²θ(π/180) . . . . where angle θ is in degrees

  A = (πθ/360)r² . . . . simplified slightly

The figure shows r=9 cm, and θ=80°. Using these values in the formula gives an area of ...

  A = π(80/360)(9 cm)² = 18π cm² ≈ 56.5 cm²

Answer: 4.026 x 10^0, 4.026

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

15% of 300 is 45.

25% of 300 is 75.

45+75 is 120.

300-120 is 180

Answer:

time = 70 minutes

Answer:

B.  16

Step-by-step explanation:

x² − 8x = 10

x² − 8x + (-4)² = 10 + (-4)²

x² − 8x + 16 = 10 + 16 --------- added 16 to both sides.

to finish the equation..

x² − 8x + 16 = 26

(x - 4)² = 26

\(\sqrt(x - 4)^2 = \sqrt{26}\)

x = \(\sqrt{26} + 4\)

x = \(4 - \sqrt{26}\)

Answer:

\(\Huge \boxed{\mathrm{B. \ 16}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(x^2-8x=10\)

The equation is in the form ax² + bx = -c. The value of b in the equation is -8.

To complete the square, we need to add (b/2)² = (-8/2)² =  -4² = 16 to both sides.

\(x^2-8x+16=26\)

Factoring left side of the equation.

\((x-4)^2 =26\)

Taking the square root of both sides.

\(x-4=\pm\sqrt{26}\)

Adding 4 to both sides.

\(x=4\pm\sqrt{26}\)

\(\rule[225]{225}{2}\)

Answer: y =  \(-\frac{1}{2}\)x + 1

Step-by-step explanation:

      First, we will find the slope. The slope of perpendicular lines are negative reciprocals.

      In this case, the first slope is 2. The negative of 2 is -2, and the reciprocal of -2 is \(-\frac{1}{2}\).

      Now, we will plug in this new slope, the point given, and solve for the b, or the y-intercept.

y = mx + b

(-1) =  (\(-\frac{1}{2}\))(4) + b

-1 =  -2 + b

1 = b

     Lastly, we will write our equation.

y = mx + b

y =  \(-\frac{1}{2}\)x + 1

          The line is y =  \(-\frac{1}{2}\)x + 1, or y = 1 - \(\frac{x}{2}\).

Answer:

\(\sf y=-\dfrac{1}{2}x+1\)

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

Given: y = 2x + 9

where:

Note:

Perpendicular lines have slopes that are negative reciprocals of each other. 

\(\sf \textsf{a slope of 2} \implies \textsf{would have a negative reciprocal of} -\dfrac{1}{2}\)

\(\textsf{Perpendicular line:}\ \sf y=-\dfrac{1}{2}x+b\)

Substitute the given point into the the equation to find the value of b:

\(\sf \sf y=-\dfrac{1}{2}x+1\\\\-1=-\dfrac{1}{2}(4)+b\\\\-1=-2+b\\\\-1+2=-2+2+b\\\\1=b\)

\(\textsf{Perpendicular line:}\ \sf y=-\dfrac{1}{2}x+1\)

Between Method A with a MAD(Mean Absolute Deviation) of 1.4 and Method B with a MAD (Mean Absolute Deviation) of 1.8, Method A performed better as it has a smaller MAD value.

To decide which estimating strategy performed the leading, we got to compare their Mean Absolute Deviation (Mad) values. Mad may be a degree of the average outright contrast between the genuine values and the forecasted values.

A little Mad esteem shows distant better; a much better; a higher; stronger; an improved" an improved forecasting accuracy, because it implies the forecasted values are closer to the real values.

Hence, between Strategy A with a Mad of 1.4 and Strategy B with a Mad of 1.8, Strategy A performed way better because it incorporates littler Mad esteem.

Be that as it may, it's vital to note that Mad alone does not allow a total picture of the determining execution. Other measurements, such as Mean Squared Blunder (MSE) or Mean Supreme Rate Blunder (MAPE) ought to too be considered to assess the exactness of the estimating strategies.

Furthermore, the setting and reason for the determining ought to too be taken under consideration when choosing the fitting estimating strategy. 

To know more about Mean Absolute Deviation (MAD) refer to this :

https://brainly.com/question/447169

#SPJ4

Therefore, the first partial derivatives of the function f(x, y, z) = 9x sin(y - z) are: fx(x, y, z) = 9 sin(y - z), fy(x, y, z) = 9x cos(y - z), fz(x, y, z) = -9x cos(y - z).

To find the first partial derivatives of the function f(x, y, z) = 9x sin(y - z), we differentiate with respect to each variable separately.

fx(x, y, z):

Taking the derivative with respect to x, we treat y and z as constants:

fx(x, y, z) = 9 sin(y - z)

fy(x, y, z):

Taking the derivative with respect to y, we treat x and z as constants:

fy(x, y, z) = 9x cos(y - z)

fz(x, y, z):

Taking the derivative with respect to z, we treat x and y as constants:

fz(x, y, z) = -9x cos(y - z)

Therefore, the first partial derivatives of the function f(x, y, z) = 9x sin(y - z) are:

fx(x, y, z) = 9 sin(y - z)

fy(x, y, z) = 9x cos(y - z)

fz(x, y, z) = -9x cos(y - z)

To know more about partial derivatives,

https://brainly.com/question/31397062

#SPJ11

Rounded to the nearest square inch, the area of triangle EFG is 651 in².

A triangle is a polygon with three sides and three angles. It is a simple closed figure that has three straight sides and three vertices. The sum of the angles in a triangle is always 180 degrees. Triangles can be classified based on their sides and angles. Triangles with all sides and angles equal are called equilateral triangles, triangles with two sides and two angles equal are called isosceles triangles, and triangles with no sides and no angles equal are called scalene triangles. Triangles can also be classified based on their angles, such as acute triangles (all angles less than 90 degrees), right triangles (one angle equal to 90 degrees), and obtuse triangles (one angle greater than 90 degrees). Triangles are important in mathematics, physics, and engineering, and are commonly used in construction and design.

To find the area of triangle EFG, we need to use the formula:

Area = 1/2 * base * height

where the base and height are perpendicular to each other.

Since we know the length of side EF (which is the base), we can use the Pythagorean theorem to find the height of the triangle. The Pythagorean theorem states that:

c² = a² + b²

where c is the length of the hypotenuse (in this case, EG), and a and b are the lengths of the other two sides (in this case, EF and FG).

So, we have:

EG² = EF² + FG²

52² = 30² + FG²

FG² = 52² - 30²

FG ≈ 43.27 in (rounded to the nearest hundredth)

Now that we know the base (EF) and the height (perpendicular to EF), we can calculate the area:

Area = 1/2 * EF * height

Area = 1/2 * 30 in * 43.27 in

Area ≈ 650.55 in²

Rounded to the nearest square inch, the area of triangle EFG is 651 in².

To know more about area visit:

https://brainly.com/question/29183952

#SPJ9

Cost of goods sold (COGS) is an important accounting calculation that measures the costs associated with selling a company’s goods or services. Therefore, the cost of goods sold for the month ended is $600.

Cost of Goods Sold (COGS) is a measure of the cost of goods sold during the accounting period. It is calculated by subtracting the beginning inventory from the cost of goods purchased during the accounting period and then adding the ending inventory. For Dig the Dogs, Inc., the cost of goods sold for the month ended is calculated as follows: Beginning Inventory = 0 Cost of Goods Purchased = $900 Ending Inventory = $300 .COGS = Beginning Inventory + Cost of Goods Purchased - Ending Inventory  = 0 + 900 - 300   = $600 Therefore, the cost of goods sold for the month ended is $600.

Learn more about cost here:

https://brainly.com/question/19075809

#SPJ4

The mentioned statement about the distance of t statistic stating that the difference between two population averages is statistically significant is true.

Statistical significance refers to analysis that the obtained data occurs by reason and logic. It confirms that stated fact won't occur by chance, which if happens, will decrease the value of hypothesis.

Statistical hypothesis testing generates p-value which is used for determination. Generally speaking, the p-value with the measure 5% or lower is assumed to be statistically significant.

Learn more about p-value -

https://brainly.com/question/4621112

#SPJ4

Answer:

Step-by-step explanation:

the percent increase is

(50-20/20)*100=(30/20)*100=150

150% increase

Answer:

22222222222222222222222

Step-by-step explanation:

Answer:

-1/6

Step-by-step explanation:

im assuming you meant multiply them? if so then

1         -2            -2           -1

---   *  ---    =       ---    =    ---

3         4              12          6

or

1/3=4/12 and -2/4=-6/12

4/12*-6/12=-24/144=-1/6

Answer:

-1/6

Step-by-step explanation:

just multiply 1/3x2/4=

and then in front of the answer put the negative sign

The solution of the sum of the numbers will be 5.

To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:

7/4 = (7/4) x (3/3) = 21/12

1/2 = (1/2) x (6/6) = 6/12

5/3 = (5/3) x (4/4) = 20/12

1/3 = (1/3) x (4/4) = 4/12

1/4 = (1/4) x (3/3) = 3/12

1/2 = (1/2) x (6/6) = 6/12

Now we can add the fractions together:

21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12

Combining like terms, we get:

60/12 = 5

So the sum of the original fractions is equal to 5.

To know more about summation follow

https://brainly.com/question/542712

#SPJ1

========================================================

Explanation:

We have a triangle with sides a,b,c where a = 3 and b = 3 are given. The side c is unknown, but using the variation of the triangle inequality theorem allows us to say the following:

b-a < c < b+a

3-3 < c < 3+3

0 < c < 6

The missing side c is between 0 and 6 units long, but cannot be equal to 0 and can't be equal to 6 either. Therefore, the answers must be A) 4, C) 5, and D) 2. All of these values satisfy the inequality 0 < c < 6.

Something like c = 12 is too large. I recommend cutting out two slips of paper that are 3 inches long, and you'll find it impossible to form a triangle that has a third side of 12 inches. The longest side you can form is 3+3 = 6 inches, but you wouldn't have a triangle at that point (it would be a straight line instead). This is a visual way to rule out choice E, and it also rules out choices B and F for similar reasoning.

The sample standard deviation for the given score and frequency is equal to 8.150.

The sample standard deviation for the ,

Calculate the sample mean (X).

X = Σ(x × f) / Σf,

where x = score, f = frequency

Mean X

= (35×1 +45×3 +55×6 + 65×11 +75×13 + 85×10 + 95×2) /(1+3+6+11+13+10+2)

= 35 + 135 + 330 + 715 + 975 + 850 + 190 / 46

= 3230 /46

= 70.2

Calculate the deviation of each score from the mean (x - X).

For 35,  (35 - 70.2) = -35.2

For 45, (45 - 70.2) = -25.2

For 55, (55 - 70.2) = -15.2

For 65, (65 - 70.2) = -5.2

For 75, (75 - 70.2) = 4.8

For 85,(85 - 70.2) = 14.8

For 95, (95 - 70.2) = 24.8

Square each deviation ( (x - X)² ).

For 35, (-35.2)² = 1239.04

For 45, (-25.2)²= 635.04

For 55, (-15.2)² = 231.04

For 65,(-5.2)² = 27.04

For 75,(4.8)² = 23.04

For 85, (14.8)² = 219.04

For 95, (24.8)² = 615.04

Calculate the sum of squared deviations.

Σ(x - X)²

= 1239.04 + 635.04 + 231.04 + 27.04+ 23.04 + 219.04 + 615.04

= 2989.28

Calculate the variance (s²).

s² = Σ(x - X)² / (n - 1)

⇒s²  = 2989.28 / 46 -1

⇒s²  =66.428

Calculate the sample standard deviation (s).

s = √(s²)

⇒s = √(66.428)

⇒ s = 8.150 (rounded to three decimal places)

Therefore, the sample standard deviation for the given data is 8.150.

Learn more about  sample standard deviation here

brainly.com/question/31848111

#SPJ4

Answer:

the perimeter, in units of the rectangle is 16x + 20

Step-by-step explanation:

perimeter of a rectangle be is 2(L + B)

p = 2(L + B)

L = 5x + 2

B = 3x + 8

p = 2L + 2B

p = 2(5x + 2) + 2(3x + 8)

p = (10x + 4) + (6x + 16)

p = 10x + 4 + 6x + 16

Collect like terms

p = 10x + 6x + 4 + 16

p = 16x + 20

Answer: 16x+20

Step-by-step explanation:

perimeter of a rectangle is the length of all sides added together.

(3x+8)+(3x+8)+(5x+2) + (5x+2)

combine like terms

16x+20

Sarah's company started out with a $350 value and is currently changing at a rate of $100 annually.

The annual fee is expressed as an equation in slope-intercept form:

y = 100x + 350.

y = mx + b, where m is the line's slope and b is its y-intercept, is the formula for a straight line.

Given details:

The table displays the prices that Sarah charged each client during the course of her business's first two years:

Year                            Annual Dog-walking Fee

2010                            $350

2014                            $750

A.

Sarah has so increased the cost by $400 over the past four years.

For Sarah's company, its rate of change called slope will be,

m = 750 - 350 / 4

m = 100

Therefore, Sarah is raising the cost by $100 yearly.

Due to the payment she received for the first year, the calculated values of a business is $350.

B. Define x as the period of time that has passed since she began her business in 2010.

Consequently, the annual fee equation can be expressed in slope-intercept form as,

y = mx + c

where y stands for the cost she must pay after x years.

Her company's baseline value is therefore $350, and its rate of change is $100 annually.

The annual fee is expressed as an equation in slope-intercept form.: y = 100x + 350.

To know more about the slope-intercept form, here

https://brainly.com/question/1884491

#SPJ1

The equation that represents the sentence "28 is the quotient of a number and 4" is 28 = n/4.

In the given sentence, "28 is the quotient of a number and 4," we can break down the sentence into mathematical terms. The term "quotient" refers to the result of division, and "a number" can be represented by the variable "n." The divisor is 4.

1) Define the variable.

Let's assign the variable "n" to represent "a number."

2) Write the equation.

Since the sentence states that "28 is the quotient of a number and 4," we can write this as an equation: 28 = n/4.

The equation 28 = n/4 represents the fact that the number 28 is the result of dividing "a number" (n) by 4. The left side of the equation represents 28, and the right side represents "a number" divided by 4.

To know more about equation refer here:

https://brainly.com/question/29657983

#SPJ11

Answer:

(From left to right)

y = -13; -12; -3; -1; and 1

Step-by-step explanation:

Answer:

Independent variable- time spent in the dark room

Dependent variable - number of objects correctly identified

Conditions of the experiment- low light environment and lighted environments

Scores from the independent variable are used to construct the frequency distribution

Step-by-step explanation:

The independent variable is the factor that is being manipulated in an experiment and this time it is the time spent in a darkened room.

The dependent variable is the response variable, in this case, the number of objects correctly identified.

The experimental conditions involved bringing people from a lighted area into a darkened room.

a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes. The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes. b) The type of test statistic to use is a one-sample z-test, since the sample size is small and the population standard deviation is known. c) The calculated test statistic is approximately -1.632. d) The p-value is slightly greater than 0.05. e) Based on the p-value being greater than the significance level (0.05), we fail to reject the null hypothesis.

a) The null hypothesis (H0): The population mean completion time under new management is equal to or greater than 14.4 minutes.

The alternative hypothesis (Ha): The population mean completion time under new management is less than 14.4 minutes.

b) Since the sample size is small (n = 12) and the population standard deviation is known, we will use a one-sample z-test.

c) The test statistic for a one-sample z-test is calculated using the formula:

z = (\(\bar x\) - μ) / (σ / √n), where \(\bar x\) is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values from the problem:

z = (13.8 - 14.4) / (1.8 / √12) ≈ -1.632

d) To find the p-value, we will compare the test statistic to the critical value from the standard normal distribution. At a significance level of 0.05 (α = 0.05), for a one-tailed test, the critical value is -1.645 (approximate).

The p-value is the probability of obtaining a test statistic more extreme than the observed test statistic (-1.632) under the null hypothesis. Since the test statistic is slightly larger than the critical value but still within the critical region, the p-value will be slightly greater than 0.05.

e) Since the p-value (probability) is greater than the significance level (0.05), we fail to reject the null hypothesis. This means that we do not have enough evidence to support the claim that the population mean completion time under new management is less than 14.4 minutes at the 0.05 level of significance.

To know more about hypothesis:

https://brainly.com/question/15995885

#SPJ4

Answer:

A

Step-by-step explanation:

Since there are 28 days in a regular February and 365 days in a total year, the probability that a random person is born in February is 28/365. This means that the probability that they were NOT born in February is 337/365, or answer choice A. Hope this helps!

Answer:

a.

Step-by-step explanation:

A non leap year has 365 days. February of a non leap year has 28 days.

365 - 28 = 337

There are 337 days in a non leap year that are not in February.

p(not February) = 337/365

Answer:

C

Step-by-step explanation:

Im going to be quick on this since your in a hurry, is AB is 3 and QR = 1  and their similar then BC would be 3 times the amount of RS which is 1.5 so the Answer is 4.5

Answer:

C

Step-by-step explanation:

　　＿＿＿　 AA

*～/■　■　⊂ P

　 |　■　■.（＿）

　 U U￣￣U U

Answer:8

Step-by-step explanation:

12+12=24

40-24=16

8+8=16

Answer:

\( \boxed{ \bold{ \huge{ \boxed{ \sf{8 \: feet}}}}}\)

Step-by-step explanation:

Given,

Perimeter of a rectangular rug ( P ) = 40 feet

Length of a rectangular rug ( l ) = 12 feet

Width of a rectangular rug ( w ) = ?

Finding the width

\( \boxed{ \sf{perimeter \: of \: rectangle = 2(l + w)}}\)

\( \longrightarrow{ \sf{40 = 2(12 + w)}}\)

\( \longrightarrow{ \sf{40 = 24 + 2w}}\)

\( \longrightarrow{ \sf{24 + 2w = 40}}\)

\( \longrightarrow{ \sf{2w = 40 - 24}}\)

\( \longrightarrow{ \sf{2w = 16}}\)

\( \longrightarrow{ \sf{ \frac{2w}{2} = \frac{16}{2} }}\)

\( \longrightarrow{ \sf{w = 8 \: ft}}\)

Width of a rectangular rug = 8 feet

Hope I helped!

Best regards! :D

When dividing an inequality by a negative number, it flips the direction of the inequality as well.x > -9Hence, if 5x + 12 < -33, then x < -9 is a correct statement.

The given inequality is 5x + 12 < -33 and we need to solve the inequality and determine the value of x that satisfies the inequality. If 5x + 12 < -33, then x < -9 is a correct statement.How to solve the inequality 5x + 12 < -33?Solve the inequality by subtracting 12 from both sides.5x + 12 < -33Subtract 12 from both sides5x + 12 - 12 < -33 - 125x < -45Now, divide both sides of the inequality by 5 and remember that when dividing an inequality by a negative number, it flips the direction of the inequality as well.x > -9Hence, if 5x + 12 < -33, then x < -9 is a correct statement.

Learn more about number :

https://brainly.com/question/10547079

#SPJ11

Answer: D¢(-3, 10), E¢(0, -1), F¢(-5, 8)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Since rounding to the one place relies on the decimal part, the part to focus on is the .5

becuase anything greater or equal to 5 is rounded up, the answer is 2

1.5 rounded to one decimal place will be 2.

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Given a fraction number 1.5 that needed to be rounded to one decimal place. Since it's at the equidistance from the nearest whole number then we will follow the even number rule.

Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. Both 1.5 and 2.5 are rounded to 2

therefore, 1.5 will be 2, when rounded to the nearest tenth.

Learn more about place values here:

https://brainly.com/question/27734142

#SPJ2