72. Shoe Sales On Saturday night, the manager of a shoe store evaluates the receipts of the previous week's sales. Two hundred and forty pairs of two different styles of tennis shoes were sold. One style sold for $66.95 and the other sold for $84.95. The total receipts were $17,652. The cash register that was supposed to record the number of each type of shoe
sold malfunctioned. Can you recover the information? If so, how many shoes of each type were sold?

a confidence level of 90% requires a minimum sample size of 44 Rounded up to the nearest integer.

The margin of error, confidence level, and population standard deviation, σ, is provided in the question, and we need to determine the minimum sample size required to estimate an unknown population mean, μ. We'll use the following formula to solve the problem:

Where,n = Sample size requiredz = Z-score that corresponds to the given confidence levelE = Margin of errorσ = Population standard deviationIn the given question, the margin of error is 12 inches, confidence level is 90%, and the population standard deviation, σ, is 24 inches.

To get the Z-score corresponding to a 90% confidence level, we must use a z-table, which gives a value of 1.645.

Simplifying the above equation, we get,

We must always round up the minimum sample size to the nearest integer because it is impossible to have a fraction of a sample size. Thus, the minimum sample size required to estimate an unknown population mean is 44. Hence, a confidence level of 90% requires a minimum sample size of 44 (Rounded up to the nearest integer).

To know more about selling price visit:

https://brainly.com/question/29109312

#SPJ11

A complete graph on 16 vertices has a total of C(16, 2) edges, where C(n, k) denotes the binomial coefficient or the number of ways to choose k items from a set of n items. Here, n = 16 and k = 2. We can compute C(16, 2) as follows:

C(16, 2) = 16! / (2! * (16 - 2)!)
= 16! / (2! * 14!)
= (16 * 15) / 2
= 120

So, the complete graph on 16 vertices has 120 edges.

Now, let's calculate the expected number of blue edges. Each edge has a probability of 1/2 of being colored blue, as there are two possible colors: red and blue. To find the expected number of blue edges, we simply multiply the total number of edges by the probability of an edge being blue:

Expected number of blue edges = Total edges * Probability of an edge being blue
= 120 * (1/2)
= 60

Therefore, the expected number of blue edges in the complete graph on 16 vertices when randomly coloring the edges with red and blue is 60.

To learn more about binomial coefficient : brainly.com/question/31229700

#SPJ11

Answer: ??

Step-by-step explanation:

Answer:

Step-by-step explanation:

huh

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Dilation by a factor of 1/2 about point S means each point moves to a position half as far from S as it was to begin with. Point S remains invariant. (Point S and S' are the same point.)

Answer:

-and a -= a positive

Step-by-step explanation:

-8+-9=19

Answer:

\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

a basic rule of exponents and powers states that if the power / exponent of the given base is a negative integer , we can reciprocate the base and change the power from negative to positive!

According to this rule ,

\(6 { }^{ - 3} \: can \: be \: written \: as \\ \\ \dashrightarrow \: (\frac{1}{6} ){}^{3} \)

therefore , 4th option is correct !

hope helpful :)

Answer: The length of the hypotenuse is  25

Step-by-step explanation:

Hi, to answer this question we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (the longest side) and a and b are the other legs of the triangle (vertical and horizontal leg)

Replacing with the values given:  

c^2 = 7^2 + 24^2  

c^2 = 49+576

c^2 = 625

c = √625

c = 25  

Feel free to ask for more if needed or if you did not understand something.  

The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

To know more about value visit:

brainly.com/question/20532123

#SPJ11

In an interval whose length is z seconds, a body moves (32z+2z 2 )ft;

the average speed v of the body in this interval is 32 + 2z ft/second.

So we need to divide the total distance traveled by the time taken.

To find the average speed of the body in the given interval,

we need to divide the total distance traveled by the time taken.

In this case, the total distance traveled by the body is given as

(32z + 2z²) ft,

and the time taken is z seconds.

Therefore, the average speed v of the body in this interval can be calculated as:

v = total distance / time taken

v = (32z + 2z²) ft / z seconds

Simplifying this expression, we get:

v = 32 + 2z ft/second

So, the average speed of the body in the given interval is 32 + 2z ft/second.

To know more about interval, visit:

https://brainly.com/question/11051767

#SPJ11

One-Shot Nash equilibrium is (A, C).

Yes the players can achieve payoffs that are better than the one-shot Nash equilibrium.

This is due to the fact that player 2 will choose strategy C if player A chooses option A. Player 2 will immediately choose Plan C if Player A chooses Option B. As a result, C becomes the second player's dominant strategy. The optimal decision for player 1 is to choose strategy A if player 2 chooses option C. Player 1 will select A if Player 2 chooses to choose D, making this Player 1's dominant move.

A Nash equilibrium is necessary for matrix reward games with two players if the row chosen is to maximize the payoff for the row player given the column chosen by the column player, and the column, in turn, is to maximize the payoff for the column player given the row chosen by the row player.

Learn more about Nash equilibrium:

brainly.in/question/4220195

#SPJ4

One-Shot Nash equilibrium is (A, C).

Yes, the players can achieve payoffs that are better than the one-shot Nash equilibrium.

This is due to the fact that player 2 will choose strategy C if player A chooses option A. Player 2 will immediately choose Plan C if Player A chooses Option B. As a result, C becomes the second player's dominant strategy. The optimal decision for player 1 is to choose strategy A if player 2 chooses option C. Player 1 will select A if Player 2 chooses to choose D, making this Player 1's dominant move.

A Nash equilibrium is necessary for matrix reward games with two players if the row chosen is to maximize the payoff for the row player given the column chosen by the column player, and the column, in turn, is to maximize the payoff for the column player given the row chosen by the row player.

To learn more about Nash equilibrium visit: brainly.com/question/27578385

#SPJ4

We have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`.

We need to find `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`.

Solution:

`f(x) = (x+7)/x`

At `x=a`, we have

`f(a) = (a+7)/a`.

At `x = a + h`,

we have `

f(a+h) = [(a+h)+7]/(a+h)`.

So,

`f(a+h) = (a+h+7)/(a+h)`.

Now,

`f(a+h)−f(a)` is `[(a+h)+7]/(a+h) − (a+7)/a`.

LCM of `(a+h)` and `a` is `a(a+h)`.

So, we get `f(a+h)−f(a)` as `(a+h)(a+7)−a(a+h+7)/a(a+h)`.

On simplification, we have `f(a+h)−f(a)` as `(ah+7h)/(a(a+h))`.

Now, `(f(a+h)−f(a))/h` is `(ah+7h)/(ah+h^2)`.

On simplification, we have `(f(a+h)−f(a))/h` as `(h(a+7))/(ah+h^2)`.

Hence, `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

Given a function `f(x)` is defined by `f(x) = (x+7)/x`. We have found `f(a)`, `f(a+h)`, and the difference quotient `(f(a+h)-f(a))/h` where `h≠0`. Thus, we have `f(a) = (a+7)/a`, `f(a+h) = (a+h+7)/(a+h)`, and the difference quotient is `(h(a+7))/(ah+h^2)`.

To know more about the difference quotient, visit:

brainly.com/question/6200731

#SPJ11

Answer:

D

Step-by-step explanation:

Answer:

Its D

Step-by-step explanation:

all other answers are wrong because you will soon have to multiply a negative with a negative thus making it a positive.

Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

To know more about trigonometric expressions refer here:

https://brainly.com/question/12676341#

#SPJ11

Given the following polynomial:

You can follow the steps shown below in order to simplify it:

Step 1. Remember the Signs rules for multiplication:

Then, you can rewrite the expression as following:

Step 2. Now you must add the like terms (Remember that "like terms" are those terms whose variables are exponents are the same). Then, you get:

The answer is:

Answer:

\(\sqrt{3} =1.7\\\sqrt{3/48} =0.04\\\sqrt{48} =6.9\\\frac{\sqrt{3} }{\sqrt{48} } =0.25\)

Step-by-step explanation:

I wasn't sure which one you were referring to

Answer:

Step-by-step explanation:

\(\frac{sinxcos^3x-cos xsin^3x}{cos^42x-sin^42x} \\=\frac{sin x cos x(cos^2x-sin ^2 x)}{(cis^2 2x+sin^2 2x)(cos^2 2x-sin ^22x)} \\=\frac{2sin x cos x cos 2x}{2(1)(cos 4x)} \\=\frac{sin 2x cos 2x}{2 cos 4x} \\=\frac{2 sin 2x cos 2x}{4 cos 4x} \\=\frac{sin 4x}{4 cos 4x} \\=\frac{1}{4} tan 4x\)

Answer:

Step-by-step explanation:

Assume the cost for a cup of coffee is x and the cost for a cup of tea is y.

For Alex: 4x+3y=6.95

For Ben 5x+2y=7.20

Then multiply Alex's cost by 2 and Ben's by 3 to cancel y.

8x+6y=13.90

15x+6y=21.60

Equation 2 minus equation 1 would be

15x+6y-(8x+6y)=15x+6y-8x-6y=7x

21.60-13.90=7.70

7x=7.70

Then x=1.10 and plugging it one of the equations,

y= 0.85

A cup of coffee costs 1.10 pounds and A cup of tea is 0.85 pounds

:)

Answer:

8.5 × 10-2

Step-by-step explanation:

I believe this is it

Answer:

49/12 or 4 1/12 or 4.083 (all the same answer in different forms)

Step-by-step explanation:

2m-14m+49=0

-12m+49=0

-12m+-49

m=49/12

Answer: m=7

Step-by-step-explanation:

m^2-14m+49=0

(m-7)^2=0

m-7=0

m=7      

Answer:

Rational

Step-by-step explanation:

Repeating decimals can be expressed as convergent infinite geometric series, which result in fractions of the form p/q, where p and q are coprime positive integers.

The proper way to construct a stem-and-leaf plot to display the data set {62,67,68,73, 73, 79,91,94,95,97} is to include a stem labeled ‘8’ and enter no leaf on the stem. So, the correct choice is option (b).

A stem and leaf graph is like a special table where each data value is separated into a "stem" (the first number) and a "leaf" (usually the last number). Leaves are sorted in ascending order from left to right. We have a data set with values {62,67,68,73, 73, 79,91,94,95,97}. Now, to construct the stem- leaf plot for our data.

Stem | Leaf

6 | 2 7

7 | 3 3 9

9 | 1 4 5 7

For stem and leaf diagram if some values are not present for some stem, then no leaf should be added to that stem. If we skip that stem than it would distort the shape of distribution of the data.

stem | leaf

6 | 2 7

7 | 3 3 9

8 |

9 | 1 4 5 7

Hence, include a stem labeled 8 and enter no leaves on the stem.

To learn more about stem-and-eaf plot, visit :

https://brainly.com/question/12276901

#SPJ4

Complete question:

The proper way to construct a stem-and-leaf display for the data set {62, 67, 68, 73, 73, 79, 91, 94, 95, 97} is to

a)exclude a stem labeled ‘8

b)include a stem labeled ‘8’ and enter no leaves on the stem.

c) include a stem labeled ‘(8)’ and enter no leaves on the stem.

d) include a stem labeled ‘8’ and enter one leaf value of ‘0’ on the stem.

Radius = diameter/2 = 8/2 = 4m

Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2

Circumference = pi x diameter = 8pi m ( exact) or 25.12 m

Answer:

C = 25.12 A = 50.24

Step-by-step explanation:

Circumference formula = dπ

Area formula = πr^2

Circumference:

Plug in:

8π

8 × 3.14 = 25.12

Area:

8/2 = 4

r = 4

Plug in:

πr^2

π4^2

16π

16 × 3.14 = 50.24

Hope this helped.

It is instructed that we change 44.0 gallons to liters. One gallon is one unit of volume. A gallon is equivalent to 3.785 liters.

3.785411784 litres make to one US gallon. 4 quarts, 8 pints, or 128 fluid ounces make up a gallon. In American measurements, a gallon is equivalent to 3.785 litres, 128 fluid ounces, 4 quarts, 8 pints, or 16 cups. A gallon's volume is about equivalent to 3.78541 litres. Thus, a gallon is more than three litres. A gallon of one liquid could weigh differently than a gallon of another. As one imperial gallon is equal to 4.54609 litres, it takes up space that is nearly 4,546 cubic centimetres (roughly a 16.5cm cube). An average glass holds eight ounces. So, 16 eight-ounce glasses of water make up a gallon.

44.0 gallons to 3.785 liters.

Learn more about gallon here

https://brainly.com/question/28274339

#SPJ4

Answer:

it is 6.4*5.8 brainliest?

Step-by-step explanation:

For the bell-shaped graph of the normal distribution of weights of Hershey kisses, the area under the curve is 1, the value of the median and mode both is 4.5338 G and the value of variance is 0.0108.

In the given question,

The weight of the chocolate and Hershey Kisses are normally distributed with a mean of 4.5338 G and a standard deviation of 0.1039 G.

We have to find the answer of many question we solve the question one by one.

From the question;

Mean(μ) = 4.5338 G

Standard Deviation(σ) = 0.1039 G

(a) We have to find for the bell-shaped graph of the normal distribution of weights of Hershey kisses what is the area under the curve.

As we know that when the mean is 0 and a standard deviation is 1 then it is known as normal distribution.

So area under the bell shaped curve will be

\(\int\limits^{\infty}_{-\infty} {f(x)} \, dx\)= 1

This shows that that the total area of under the curve.

(b) We have to find the median.

In the normal distribution mean, median both are same. So the value of median equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of median is also 4.5338 G.

(c) We have to find the mode.

In the normal distribution mean, mode both are same. So the value of mode equal to the value of mean.

As we know that the value of mean is 4.5338 G.

So the value of mode is also 4.5338 G.

(d) we have to find the value of variance.

The value of variance is equal to the square of standard deviation.

So Variance = \((0.1039)^2\)

Variance = 0.0108

Hence, the value of variance is 0.0108.

To learn more about normally distribution link is here

https://brainly.com/question/15103234

#SPJ1

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

The slope of a beer's law plot represents that one can quantitatively determine the molar absorptivity of a substance, which is essential for accurately determining concentrations of unknown samples using spectrophotometric methods.

In Beer's law, the relationship between the concentration of a substance and its absorbance is described by the equation A = εbc, where A is the absorbance, ε is the molar absorptivity (also known as the molar absorptivity coefficient), b is the path length of the sample, and c is the concentration of the substance.

When plotting a graph of absorbance versus concentration, the slope of the line represents the molar absorptivity (ε). The molar absorptivity is a constant that reflects the substance's ability to absorb light at a specific wavelength. A higher molar absorptivity indicates that the substance has a greater tendency to absorb light and is more sensitive to changes in concentration.

Conversely, a lower molar absorptivity indicates weaker absorption characteristics.

In summary, by measuring the slope of the Beer's law plot, one can quantitatively determine the molar absorptivity of a substance.

To know more about Beer's law, refer here:

https://brainly.com/question/30762062#

#SPJ11

By utilizing a switchback ramp design, you can meet accessibility regulations within the space of 30 feet for the wheelchair-accessible ramp.

To build a wheelchair-accessible ramp within a space of 30 feet, you can consider using a switchback or zigzag ramp design. This design allows for a longer ramp within a limited space. Here's how you can construct the ramp:

1. Measure the vertical rise: In this case, the entrance is 6 feet above ground level.

2. Determine the slope ratio: To meet accessibility regulations, the slope ratio should be 1:12 or less. This means that for every 1 inch of rise, the ramp should extend 12 inches horizontally.

3. Calculate the ramp length:

Divide the vertical rise (6 feet or 72 inches) by the slope ratio (1:12).

The result is the minimum ramp length required, which is

72 inches x 12 = 864 inches.

4. Consider a switchback design: Since you have a limited space of 30 feet, a straight ramp may not fit. A switchback design allows for a longer ramp by changing direction.

This can be achieved by incorporating platforms or landings at regular intervals.

5. Design the switchback ramp: Divide the total ramp length (864 inches) by the available space (30 feet or 360 inches).

This will determine how many platforms or landings you can incorporate. Ensure that each section of the ramp remains within the slope ratio requirements.

6. Ensure safety and accessibility: Install handrails on both sides of the ramp, with a height of 34-38 inches, to provide support. Make sure the ramp is wide enough (at least 36 inches) to accommodate a wheelchair comfortably.

Know more about the vertical rise

https://brainly.com/question/1904673

#SPJ11

Answer:

$5820

Step-by-step explanation:

1500*6%=90 per month

90*(48months=4yrs)=4320

1500+4320=5820