Between Wendy's and McDonald's, which fast-food drive thru is faster? To answer this question, random samples of service
times for each restaurant are measured. A sample of 213 Wendy's reveals a mean of 149.85 seconds with a standard deviation
of 21.82 seconds. A sample of 202 McDonald's reveals a mean of 154.53 seconds with a standard deviation of 23.64 seconds.
Test the claim that the two restaurants have the same drive thru service time. What is the research question?
O A. Is Wendy's drive thru faster than McDonald's drive thru?
OB. Is Mcdonald's drive thru faster than Wendy's drive thru?
C. Is there a statistically significant difference in drive thru service times for Wendy's and McDonald's?
O D. Will Mcdonalds have a statistically significant slower drive thru service time than Wendy's?

The box that depicts the number of dogs at the daycare each day is Box C which shows median of 60. The Option C.

The full data for number of dogs at the daycare each day is:

[tex]47,38,72, 56, 40, 64, 30, 80, 66, 51, 33, 74, 70, 69[/tex]

To get median, we will arrange the numbers in ascending order which is:

[tex]30, 33, 38, 40, 47, 51, 56, 64, 66, 69, 70, 72, 74, 80[/tex]

Since we have an even number of observations (14), the median will be the average of the two middle numbers.

The two middle numbers are 56 and 64. So the median is:

= (56 + 64) / 2

= 120 / 2

= 60.

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Answer:

yes

Step-by-step explanation:

common sense

Answer:

843,75 feet away

Step-by-step explanation:

speed of sound is 1.125 feet per sec

to calculate the distance of the canyon use : distance =(speed of sound ×time)/2

(1,125feet/sec ×1,5sec)/2

=843,75 feet away

Egbert must deposit $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

To calculate the required lump sum deposit, we can use the formula for compound interest:

A = P[tex](1+r/n)^{nt}[/tex]

Where:

A = the future value (desired amount in the fund) = $40,000

P = the initial principal (lump sum deposit we need to find)

r = the annual interest rate in decimal form = 7% = 0.07

n = the number of compounding periods per year = 4 (quarterly compounding)

t = the number of years = 10

Plugging in these values, the formula becomes:

$40,000 = P[tex](1+(0.07/4)^{(4*10)}[/tex]

Simplifying further:

$40,000 = P[tex](1.0175)^{40}[/tex]

Now we can solve for P by dividing both sides of the equation by

P = $40,000 /[tex](1.0175)^{40}[/tex]

Using a calculator to evaluate the expression, we find:

P ≈ $19,602.52

Therefore, Egbert must deposit approximately $19,602.52 as a lump sum in order to have $40,000 in the fund at the end of 10 years.

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355.2

i use my notebook and showed my work by doing 3.7x8x12 which is equal to 355.2

The equation of line FG is given as follows:

y = -0.5x - 5.5.

The circle has a center of (1, -1), hence the equation is given as follows:

(x - 1)² + (y + 1)² = r².

Point (-1, -5) is on the circumference of the circle, hence the radius is obtained as follows:

(-1 - 1)² + (-5 + 1)² = r²

r² = 40.

Hence:

(x - 1)² + (y + 1)² = 40.

Applying implicit differentiation, the derivative is given as follows:

2(x - 1) + 2(y + 1)m = 0

2x - 2 +2m(y + 1) = 0

m = (x - 1)/(y + 1)

At x = -1 and y = -5, hence the slope is given as follows:

m = -2/4

m = -0.5.

Hence the equation is given as follows:

y + 5 = -0.5(x + 1).

y = -0.5x - 5.5.

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Answer:

19 $20 bills

Step-by-step explanation:

Let's assume the number of $20 bills in the cash drawer is "x."

The value of the $20 bills can be calculated by multiplying the number of bills by the denomination:

Value of $20 bills = 20 * x

Similarly, the value of the $5 bills can be calculated by multiplying the number of bills by the denomination:

Value of $5 bills = 5 * (50 - x) (since there are a total of 50 bills)

According to the given information, the total value of all the bills is $535:

Value of $20 bills + Value of $5 bills = $535

Substituting the expressions for the values:

20 * x + 5 * (50 - x) = 535

Simplifying the equation:

20x + 250 - 5x = 535

Combining like terms:

15x + 250 = 535

Subtracting 250 from both sides:

15x = 285

Dividing both sides by 15:

x = 19

Therefore, there are 19 $20 bills in the cash drawer.

We would expect Underwood Motors shares to sell for $4.52 per share and Book value per share is $1,303,000 /total shares outstanding

To find the expected price of Underwood Motors shares, we need to use the price-earnings ratio and the earnings per share (EPS):

Expected price per share = price-earnings ratio x EPS

Expected price per share = 18.32 x 0.247 = 4.52384

So we would expect Underwood Motors shares to sell for $4.52 per share.

To find the book value per share, we can use the formula given:

Book value per share = stockholders' equity / total shares outstanding

Book value per share = $1,303,000 /total shares outstanding

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The blue shaded portion on the top left side is described as forming lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion W. D.

To graph the system of inequalities y ≥ 1/3x - 2 and y ≤ -4x - 2, we will plot the lines corresponding to each inequality and shade the region that satisfies both inequalities.

First, let's graph the line y = 1/3x - 2.

We can find two points on this line and connect them with a straight line:

Using (6, 0):

y = 1/3(6) - 2

y = 2 - 2

y = 0

So we have the point (6, 0).

Using (0, -2):

y = 1/3(0) - 2

y = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 1.

Next, let's graph the line y = -4x - 2 using the same process:

Using (0.5, 0):

0 = -4(0.5) - 2

0 = -2 - 2

0 = -4

So we have the point (0.5, 0).

Using (0, -2):

-2 = -4(0) - 2

-2 = -2

So we have the point (0, -2).

Plotting these two points and drawing a line through them, we get a line labeled as Line 2.

Now, we need to shade the region that satisfies both inequalities.

The shaded region will be the region where Line 1 is above Line 2.

Based on the given descriptions of the shaded portions W, X, Y and Z we can determine the correct option.

The blue shaded portion on the top left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion X.

The blue shaded portion on the left side is described as forming when lines pass through (0.5, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Y.

The blue shaded portion on the bottom left side is described as forming when lines pass through (6, 0) and (0, -2) and intersect at (0, -2).

This corresponds to the shaded portion Z.

Based on this information, we can determine the correct option:

A. X

B. Y

C. Z

D. W

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Answer:

140 words

Step-by-step explanation:

If Tim can read 28 words per minute and we are trying to find how many words he can read in five minutes, we simply have to multiply 28 x 5 = 140 and we got our answer.

The formula that of h is h = 9k/16t

Joint variation describes a situation where one variable depends on two (or more) other variables, and varies directly as each of them when the others are held constant.

h is inversely proportional to p and directly proportional to t , therefore

h = k t/p

when h = 9 and t = 64 and p is 4

9 = k 64/4

64k = 36

k = 36/64

k = 9/16

h = 9k/16t

therefore the formula of h interns of k and t is

h = 9k/16t

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Answer:

Convert the word problem into equation

Let the number be x

By the problem

7x-13=5x-5

Transport the 5x to lhs and -13 to rhs

7x-5x=13-5

2x=8

x=8/2

x=4

Therefore the number is 4

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

28 plus 20 equals to 48 and then each divide 4

317 words can be formed by using all the letters of the word ARRANGEMENT

The volume of the prism is 1323 feet³ (cubic feet).

Length= 21 feet.

Width= 9 feet.

Height= 7 feet.

The formula to calculate the volume of rectangular prisms is the following:

[tex]\sf V_{RP} =l*w*h[/tex]; where "l" is the length; "w" is the width, and "h" is the height of the prism.

Check the attached image to see where these values are measured from.

Substitute the variables in the formula by the values on step 1.

[tex]\sf V_{RP} =l*w*h=(21\ feet)*(9\ feet)*(7\ feet)=\boxed{\sf1323\ feet}.[/tex]

The volume of the prism is 1323 feet³ (cubic feet).

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

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Answer:

The volume of the rectangular prism is 1323 cubic feet.

Step-by-step explanation:

Step 1: Write down the formula for the volume of a rectangular prism:

[tex]\qquad\Large\boxed{\rm{\:\:\:V = l \times w \times h\:\:\:}}[/tex]

Step 2: Substitute the given values for the length, width, and height:

[tex]\qquad\Large\rm{V = 21\: ft \times 9\: ft \times 7\: ft}[/tex]

Step 3: Multiply the numbers together:

[tex]\qquad\Large\rm\implies{V = 1323\: ft^3}[/tex]

Step 4: Write the final answer with the appropriate units:

The volume of the rectangular prism is 1323 cubic feet.

[tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]

these are all problems designed to practice the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides, and A, B, C being the corresponding opposite angles.

I

and remember :

sin(90) = 1

a)

4/sin(30) = c/sin(90) = c

4/0.5 = c = 8 cm

b)

17/sin(53) = c/sin(90) = c

c = 21.28630619... cm

c)

6/sin(41) = c/sin(90) = c

c = 9.14551852... cm

Answer:

A

Step-by-step explanation:

Negation statements have the word "not" in them or taken out of them.  In this case, not is added to the statement.

7/12 is the probability that an even number will appear on the top face in the first roll or that the number 1 will appear on the top face in the second roll

The probability of rolling an even number on the first roll is 3/6 = 1/2, since there are three even numbers (2, 4, 6) out of six possible outcomes.

The probability of rolling a 1 on the second roll is 1/6, since there is only one outcome that will result in a 1.

To find the probability that at least one of these events occurs, we can add their probabilities and subtract the probability that both events occur:

P(even or 1) = P(even) + P(1) - P(even and 1)

Since the events are independent, the probability that both occur is simply the product of their probabilities:

P(even and 1) = P(even) × P(1) = (1/2) × (1/6) = 1/12

Substituting into the formula above, we get:

P(even or 1) = 1/2 + 1/6 - 1/12 = 7/12

Therefore, 7/12 is the probability that an even number will appear on the top face in the first roll or that the number 1 will appear on the top face in the second roll

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Answer:

7.5

Step-by-step

to get this answer you need to multiply 10*75 than divide it by 100

10          0

-----     --------

100        75

The ticket price that maximizes revenue is $8.50.

Let x be the ticket price in dollars

Let y be the attendance.

We are given two points: (12, 20000) and (11, 24000).

Using the point-slope formula, we can find the equation of the line:

y - 20000 = (24000 - 20000)/(11 - 12) * (x - 12)

y = -4000x + 68000.

Revenue R is equal to the product of price and attendance: R = xy.

Substituting y = -4000x + 68000, we get:

R = x(-4000x + 68000)

R = -4000x^2 + 68000x.

Using  [tex]x = -b/(2a)[/tex] where a and b are the coefficients from the form ax2 + bx + c]

= - 68000/(2*-4000)

= 8.5.

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The given expression, rewritten by factoring out the greatest common factor is 2y(x³ + 4x - 2x² - 8)

The given expression factored completely is (2xy - 4y)(x² + 4)

From the question, we are to rewrite the given expression by factoring out the greatest common factor and also by factoring completely

The given expression is

2x³y + 8xy - 4x²y - 16y

The greatest common factor is the expression that is common t each of terms in the given expression

The greatest common factor is 2y

Factoring out the greatest common factor

2x³y + 8xy - 4x²y - 16y

2y(x³ + 4x - 2x² - 8)

Factoring the expression completely

2x³y + 8xy - 4x²y - 16y

2xy(x² + 4) - 4y(x² + 4)

(2xy - 4y)(x² + 4)

The complete factoring of the expression is (2xy - 4y)(x² + 4)

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The values of sin0 and sin 90 are 0 and 1 respectively

Table and values of a function

Given the following values of theta

Theta = 0 and 90 degrees

If theta = 0 dgrees

Sin (0) = 0

If theta = 90 degrees

Sin(90) = 1

Hence the values of sin0 and sin 90 are 0 and 1 respectively

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The required length of the segments are found as :

AB = 3.16

AC = 5.1

BC = 5.66

Perimeter = 13.92

A perimeter is  described as a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length.

We make use of the distance formula:

Distance = √ ((x2 - x1)² + (y2 - y1)²

segment AB:

x1 = 1, y1 = 5

x2 = 4, y2 = 4

= √ ((4 - 1)² + (4 - 5)²

= √ (9 + 1)

= √ (10)

= 3.16

Segment AC:

x1 = 1, y1 = 5

x2 = 0, y2 = 0

= √ ((0 - 1)^2 + (0 - 5)^2)

= √ ((-1)^2 + (-5)^2)

= √ (1+ 25)

=√ (26)

= 5.1

Segment BC:

x1 = 4, y1 = 4

x2 = 0, y2 = 0

= √ ((0 - 4)² + (0 - 4)²

=√ ((-4)² + (-4)²

= √ (16 + 16)

= (32)

= 4 x √(2)

= 5.66

Perimeter = segment AB + segment  AC + segment  BC

Perimeter =  13.92

Perimeter =  13.92

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the complete question is attached in the image:

Answer:

  f(x) = 5^x -2

Step-by-step explanation:

You want the equation for the graph attached.

The graph has a horizontal asymptote for negative values of x, and rises rapidly for positive values of x. This suggests an exponential function.

The graph of the parent exponential function will pass through the point (0, 1), which is 1 unit above the horizontal asymptote. Here, the horizontal asymptote is y = -2, and the graph passes through (0, -1).

This tells us the graph is vertically translated down 2 units and not translated horizontally at all. (Horizontal translation is equivalent to a vertical scale factor. The lack of it tells us the vertical scaling is 1.)

The parent exponential function b^x rises b units above the horizontal asymptote when the value of x is 1. Here, the function rises to +3 from the asymptote of -2 at x=1, so the base of the exponential is 3-(-2) = 5.

The equation for the graph is ...

  f(x) = 5^x -2

Confirmation is shown in the attachment.

#95141404393

If we move 8 units right and end up at the coordinate (5,-3) the starting point is (-3,-3)

In an x-y plane, the x-axis is the axis along the horizontal of the plane. Similarly, the y-axis is the axis along the vertical of the plane.

Thus, the change in the position affects the coordinates of the x and y axis accordingly.

Given:

Change in position: 8 unit rights

Thus, the movement is along the x-axis in the positive direction

Final position: (5,-3)

Starting point can be found by subtracting the movement of the particle from the endpoint.

Thus, Starting position: (5-8,-3) or (-3,-3)

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Answer:

  y = -4(x +2)² +7

Step-by-step explanation:

You want the equation of the parabola with vertex (-2, 7) that passes through point (-1, 3).

The vertex form of the equation of a parabola is ...

  y = a(x -h)² +k . . . . . . . . vertex (h, k)

We can use (x, y) = (-1, 3) and (h, k) = (-2, 7) to find the value of 'a'.

  3 = a(-1 -(-2))² +7 = a +7

  -4 = a . . . . . . . . subtract 7

Then the vertex form equation for the parabola is ...

  y = -4(x +2)² +7

<95141404393>

The length of AB and CB is 7√2.

Using Trigonometry

cos 45 = B/ H

cos 45 = AD / AB

1/√2 = 7 / H

H = 7√2

Then, CB = AB = 7√2

Now, using Pythagoras theorem in ΔABC

AC² = AB² + CB²

14² =  (7√2)² + CB²

CB² = 196 - 98

CB = 7√2

Thus, the length of AB and CB is 7√2.

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The average total cost of producing 5 shirts by the firm is $35.

We can use the following formula to calculate the average total cost (ATC) of producing 5 shirts:

ATC = Total Cost / Quantity

We know that the firm produces 6 shirts at a total cost of $187, so the total cost of producing 5 shirts can be estimated by subtracting the marginal cost of the last shirt from the total cost of producing 6 shirts:

Total Cost of producing 5 shirts = Total Cost of producing 6 shirts - Marginal Cost of the last shirt

                                 = $187 - $12

                                 = $175

Now we can use the formula to find the average total cost of producing 5 shirts:

ATC = Total Cost / Quantity

   = $175 / 5

   = $35

Therefore, the average total cost of producing 5 shirts by the firm is $35.

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The transformation that maps the blue triangle into the orange one is a rotation.

First, a translation only moves the figure (it does not change the orientation), and in the image we can see that the orientations are different, then we can discard the translation.

Similarly with the dilation which only changes the size, we can discard that one too.

Finally, if we do a reflection over a given line the orientation can be changed, but there must be a line of symmetry (the line used for the reflection) between the two figures, that we can't see here.

Then the remaining option is the correct one, this is a rotation.

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