1. Make a box plot of the ticket prices shown and identify the median price.
$25.50 $45.00
$24.00
$32.50 $32.00 $20.00
$38.50 $50.00 $45.00

Answer:

Step-by-step explanation:

We can start by simplifying the expression using the laws of exponents:

343^(2x) * 49^(-x/2) = 49^(x/2)

We can then simplify further by expressing everything in terms of 7 (since 7 is the common factor of both 343 and 49):

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

Applying the laws of exponents again, we get:

7^(6x) * 7^(-x) = 7^x

7^(6x - x) = 7^x

7^(5x) = 7^x

Now we can solve for x by equating the exponents on both sides:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

Answer:

x = 0

Step-by-step explanation:

343^(2x) * 49^(-x/2) = 49^(x/2)

(7^3)^(2x) * (7^2)^(-x/2) = (7^2)^(x/2)

7^(6x) * 7^(-x) = 7^(x)

Now, we can simplify the equation further by combining the like terms on both sides:

7^(6x - x) = 7^(x)

7^(5x) = 7^(x)

We can solve for x by equating the exponents on both sides of the equation:

5x = x

4x = 0

x = 0

Therefore, the solution to the equation is x = 0.

The standard deviation of the number of defective bulbs in a sample of 11 light bulbs, where 60% are defective, is 1.53, rounded to two decimal places.

The number of defective bulbs in a sample of 11 light bulbs follows a binomial distribution with parameters n = 11 and p = 0.6, where n is the sample size and p is the probability of a defective bulb.

The standard deviation of the binomial distribution is given by the formula:

σ = sqrt(np(1-p))

where σ is the standard deviation, n is the sample size, p is the probability of success (defective bulb), and (1-p) is the probability of failure (non-defective bulb).

Substituting the values into the formula, we get:

σ = sqrt(11 * 0.6 * 0.4) = 1.53

Therefore, the standard deviation of the number of defective bulbs in the sample is 1.53, rounded to two decimal places.

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Answer:

Step-by-step explanation:

The solution (16, 2) means 16 small gloves and 2 large gloves can be made in less than or equal to 16 hours and cost less than or equal to $40 in materials to make.

Answer:

Step-by-step explanation:

If a water bottle contains 375 ml, So the volume in quarts is 0.396 qt.

       The volume of a water bottle containing 375 ml can be converted into a quart using the conversion formula.

          One can use the following conversion formula to convert a given volume in ml to quarts.

          The conversion formula for ml to quarts is given as;

                      1 ml = 0.00105669 quarts

Volume in quarts = Volume in ml × 0.00105669

     Now, to calculate the volume of 375 ml of the water bottle in quarts,

     We will substitute the given volume in the above conversion formula as follows,

      Volume in quarts = 375 ml × 0.00105669

                                    = 0.396 qt

       Hence, the volume of the water bottle containing 375 ml is 0.396 qt.

      Therefore, the correct option is C. 0.396 qt.

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The missing length n on the projection is  y.

The original triangle and its projection are similar if the three angles are the same. In this case, the missing length n on the projection can be determined by applying the concept of similarity. First, we need to find out the ratio between the lengths of the original triangle and its projection. For example, if the length of the side of the original triangle is x, and the length of its projection is y, the ratio between them is x/y.

Then, using the similar triangles theorem, we can state that the ratio between the other lengths of the original triangle and its projection is the same. This means that if we know one of the lengths, we can calculate the other one. Therefore, if the length of the side of the original triangle is x, and the ratio is x/y, then the length of the projection must be y.

Finally, we can calculate the missing length n on the projection. We know that the length of the projection is y, and we can use the ratio x/y to calculate n. Therefore, n = x*y/x, which is equal to y.

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Answer:the jimboluis

Step-by-step explanation:

that’s it

Answer:

Sure, I can help you solve these problems using substitution. Let's start with problem 1:1. y=x+4 y=3x To solve this system of equations, we need to substitute one of the variables from one equation into the other equation. We can solve the second equation for y:y=3x Now we can substitute this expression for y into the first equation:y=x+4 3x=x+42x=4x=2 Now we can substitute this value for x into either equation to solve for y:y=x+4 y=2+4y=6 So the solution to this system of equations is x=2, y=6. You can follow the same procedure to solve the rest of the problems. 2. x=-2y+1 x-y=-53. y=x-7 2x+y=84. y=3x-6 -3x+y=-65. x+2y=200 x=y+506. 4x+3y=1 x=1-y Let me know if you need any further assistance.

Answer:

0.01 cm/min

Step-by-step explanation:

The volume of oil in the tank is given by the formula:

V = l × w × h

where l, w, and h are the length, width, and height of the tank respectively.

Substituting the given values, we get:

V = 60 cm × 100 cm × 100 cm = 600,000 cm³

The rate at which the oil is being lost is given as 3.6 litres per hour. Since 1 litre = 1000 cm³, we can convert this to cubic centimeters per hour as follows:

3.6 litres/hour × 1000 cm³/litre = 3600 cm³/hour

To find the rate at which the oil level is falling, we need to divide the rate of oil loss by the surface area of the oil in the tank. Since the tank is rectangular and has a flat bottom, the surface area of the oil is simply the area of the top of the tank, which is:

A = l × w = 60 cm × 100 cm = 6000 cm²

Now, we can calculate the rate at which the oil level is falling as follows:

rate of oil loss ÷ surface area of oil = (3600 cm³/hour) ÷ (6000 cm²)

= 0.6 cm/hour

To convert this to cm/min, we simply divide by 60:

0.6 cm/hour ÷ 60 min/hour = 0.01 cm/min

Therefore, the rate at which the oil level is falling is 0.01 cm/min

Robin can go to the movies a maximum of 5 times this month.

Let's start by defining a variable to represent the number of times Robin goes to the movies. Let's call this variable "x".

We know that each movie ticket costs $5, and Robin wants to have at least $12.50 left at the end of the month. This means that the total amount of money she can spend on movies is:

40 - 12.50 = $27.50

We can set up an inequality to represent this:

5x ≤ 27.50

To solve for x, we can divide both sides of the inequality by 5:

x ≤ 5.5

Since we can't go to the movies a fractional number of times, we round down to the nearest whole number.

Therefore, Robin can go to the movies a maximum of 5 times this month.

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The probability of the spinner landing on the letter C is 1/4

To understand the probability of the spinner landing on the letter C, we need to start by looking at the total number of possible outcomes. In this case, there are four possible outcomes, corresponding to the four letters A, B, C, and D.

Since each of the four quadrants on the spinner is equal in size, each of the four letters has an equal chance of being landed on. Therefore, the probability of the spinner landing on the letter C is the number of ways that the spinner can land on C, divided by the total number of possible outcomes.

Since there is only one way for the spinner to land on C, and there are four possible outcomes in total, the probability of the spinner landing on the letter C is 1/4

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The given question is incomplete, the complete question is:

A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner landing on the letter C

There is a 2.28% likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised.

Assume that the advertised weight is equivalent to the typical weight of one bag, which is 30 grammes. A pack of nine bags would therefore weigh 9 x 30 = 270 grammes.

Let's now assume that each bag actually weighs 30 grammes on average, with a 2 gramme standard deviation, according to a normal distribution (which represents the variability in the weight of the bags).

We need to apply the central limit theorem to determine the probability that the average weight of the bags in a randomly selected pack is 2 or more grammes less than stated. According to this theorem, the mean of a sufficiently large sample (in this case, nine bags) will have a sampling distribution that is roughly normal, with a mean of 30 grammes and a standard deviation of 2 grammes divided by the square root of the sample size (9 = 0.67 grammes). The mean will also be equal to the population's standard deviation.

We can determine the likelihood that the sample mean of a pack of 9 bags weighs less than 28 grammes using a normal distribution table or calculator (which is 2 grammes less than the advertised weight of 30 grams). This likelihood is roughly 0.0228, or 2.28%.

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Thus, the function for the total amount paid by the manager is: t = 7 +28s.

a mathematical phrase, rule, or legislation that establishes the link between an independent variable and a dependant variable (the dependent variable).

Given data:

Let the number of bags ordered be 's'.

The total amount paid 't'.

Thus, the function for the total amount paid by the manager is:

t = 7 + 28s.

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1.  Exponential decay 2. Josh's function represents the situation correctly 3. V(x) = 1275(0.835)ˣ,  V(x) = 1275(1-0.165)ˣ

An exponential decay function is a mathematical function that describes the decrease in value of a quantity over time or through a series of events. It is often used to model natural phenomena such as radioactive decay or the spread of diseases.

In an exponential decay function, the value of the quantity decreases exponentially over time. This means that the rate of decrease is proportional to the value of the quantity at any given time.

The exponential decay function is characterized by a decreasing graph that approaches zero but never touches the x-axis. The rate of decay slows down over time, but the quantity never completely disappears. The function is used in various fields such as physics, chemistry, biology, finance, and economics, to name a few.

1. This situation represents exponential decay because the value of the computer decreases by 16.5% each year.

2. Josh's function represents the situation correctly because it involves the decay factor (0.835) which is less than 1, reflecting the decrease in value each year. Eve's function represents exponential growth which is not consistent with the situation where the value of the computer decreases each year.

3. V(x) = 1275(0.835)ˣ represents the function using the form V(x) = a(b)ˣ where a = 1275 and b = 0.835.

Alternatively, V(x) = 1275(1-0.165)ˣ represents the function using the form V(x) = a(1-r)ˣ where a = 1275 and r = 0.165.

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Answer:

x² +4x + 3

Step-by-step explanation:

Area = length x width

Area = (x + 3)( x + 1)

Area = x² + X + 3x +3

Area = x² + 4x +3

One of the advantages of buying a franchise is that the purchaser has access to a proven business system is true.

Explanation:

A franchise is a company's business model and brand name that it allows to be used by third parties in exchange for a fee. The individual or entity who pays the fee is referred to as the franchisee. The purchaser of the franchise receives a licence to use the franchisor's trade name, business systems, operational procedures, goods, and other intellectual property, among other things. The franchisee is also required to follow certain operational protocols and sales/marketing strategies, as well as purchase products from the franchisor. For various reasons, a franchise is often viewed as a low-risk business opportunity for a potential business owner. Among the numerous advantages of buying a franchise, the ability to access a proven business system is one of the most important.

                         A proven business system is a set of guidelines, operational procedures, marketing and sales strategies, and other tools that have been shown to be effective for a particular franchise. By using a proven business system, the franchisee is less likely to fail and more likely to succeed. As a result, a franchisee's revenue stream will be more stable, allowing for long-term growth and success.

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To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9

The approximate diameter of the largest pillow Sarita can use is 12 inches.

Sarita has 38 inches of fringe to sew around a circular pillow.

To calculate the approximate diameter of the largest pillow she can use, we can use the formula 2 × (fringe length ÷ 3.14) = diameter. In this case, the diameter would be approximately 12 inches (38 ÷ 3.14 = 12.1).

To solve this problem, we need to divide the length of the fringe (38 inches) by the value of pi (3.14). Dividing 38 by 3.14 gives us 12.1. Since we are looking for the approximate diameter, we can round this number down to 12 inches.

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There are 105 ways to select a sample of 5 keyboards from a set of 10 keyboards such that exactly 2 of the keyboards have an electrical defect.

To find the number of ways to select a sample of 5 keyboards so that exactly 2 have an electrical defect, we can use the combination formula:

 C(n,k) = n! / (k! * (n-k)!)

where n is the total number of keyboards, k is the number of defective keyboards, and C(n,k) is the number of ways to choose k defective keyboards from a total of n keyboards. Here, n = 10 (assuming there are 10 keyboards in the sample), and k = 2.

We can choose 2 defective keyboards from the total of 3 defective keyboards in C(3,2) = 3 ways. We can also choose 3 non-defective keyboards from the total of 7 non-defective keyboards in C(7,3) = 35 ways. Therefore, the total number of ways to select a sample of 5 keyboards so that exactly 2 have an electrical defect is:

C(3,2) * C(7,3) = 3 * 35 = 105

So there are 105 ways to select a sample of 5 keyboards from a set of 10 keyboards such that exactly 2 of the keyboards have an electrical defect.

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The circumference of a gazebo is 47.1 ft

To calculate the circumference, you can use the formula C=2πr. This formula states that the circumference of a circle is equal to two times the constant π (approximated as 6.28) multiplied by the radius of the circle. The radius of a circle is equal to half of the diameter, so in this case the radius would be 7.5 ft (half of 15 ft).

Therefore, to calculate the circumference of a gazebo with a diameter of 15 ft, you can use the formula C=2πr. Plugging in the radius of 7.5 ft, the equation would become C=2π(7.5) which results in a circumference of 47.12 ft. To round this answer to one decimal place, the final answer is 47.1 ft

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The equation of the circle with center at (8, 2) that passes through (17, 14) in standard form is (x - 8)² + (y - 2)² = 225

In your problem, we are given that the center of the circle is located at (8, 2) and that the circle passes through the point (17, 14). To find the equation of this circle, we need to use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius of the circle.

To find the radius of the circle, we can use the distance formula between the center of the circle and the point on the circle that is given to us. The distance formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) is the center of the circle and (x₂, y₂) is the point on the circle that is given to us.

Plugging in the values we have, we get:

d = √((17 - 8)² + (14 - 2)²) = √(81 + 144) = √(225) = 15

So the radius of the circle is 15.

Now we can plug in the values we have into the standard form of the equation of a circle:

(x - 8)² + (y - 2)² = 15²

which simplifies to:

(x - 8)² + (y - 2)² = 225

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The volume of the cone in terms of π is option (c) 100π in^3

The formula for the volume of a cone is given by:

V = (1/3)πr^2h

where r is the radius of the base of the cone, h is the height of the cone.

In this case, we are given that the radius of the cone is 5 in and the slant height is 13 in. We can use the Pythagorean theorem to find the height of the cone:

h^2 = y^2 - r^2

h^2 = 13^2 - 5^2

h^2 = 144

h = 12 in

Therefore, the volume of the cone is:

V = (1/3)πr^2h

V = (1/3)π(5^2)(12)

V = (1/3)π(25)(12)

V = (1/3)(300π)

V = 100π cubic inches

Therefore, the correct option is (c) 100π in^3

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Answer: 100π in3

Step-by-step explanation:

Answer:

If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.

To find the expected number of times a two is rolled in 250 rolls:

Expected value = (probability of an event occurring) x (number of trials)

Expected number of twos = 0.1 x 250 = 25

To find the expected number of times a number other than two is rolled in 250 rolls:

Expected number of non-twos = 0.9 x 250 = 225

Therefore, we would expect to roll a two 25 times and a number other than two 225 times in 250 rolls of this biased dice.

Answer:

0.790, or 79%.

Step-by-step explanation:

If the probability of getting a two on a biased dice is 0.1, then the probability of not getting a two is 0.9.

We can use the binomial distribution to calculate the probability of getting a certain number of twos in 250 rolls of the dice. The formula for the binomial distribution is:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k twos

n is the number of trials (250 rolls)

k is the number of successes (getting a two)

p is the probability of success (0.1)

(1-p) is the probability of failure (0.9)

C(n, k) is the number of ways to choose k successes from n trials (n choose k)

To calculate the probability of getting exactly k twos in 250 rolls, we plug in the values for n, k, p, and (1-p) into the formula:

P(X = k) = C(250, k) * 0.1^k * 0.9^(250-k)

We can use a calculator or a software program to find the probabilities for different values of k. Here are some examples:

The probability of getting no twos (k = 0) is P(X = 0) = C(250, 0) * 0.1^0 * 0.9^250 = 0.057

The probability of getting exactly one two (k = 1) is P(X = 1) = C(250, 1) * 0.1^1 * 0.9^249 = 0.153

The probability of getting at least two twos (k >= 2) is the complement of the probability of getting zero or one two:

P(X >= 2) = 1 - P(X = 0) - P(X = 1)

= 1 - 0.057 - 0.153

= 0.790

Therefore, the probability of getting at least two twos in 250 rolls of the biased dice is approximately 0.790, or 79%.

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Answer:

A = 196 units²

Step-by-step explanation:

the area (A) of a regular polygon is

A = [tex]\frac{1}{2}[/tex] perimeter × apothem

here perimeter = 56 and apothem = 7 , then

A = [tex]\frac{1}{2}[/tex] × 56 × 7 = 28 × 7 = 196 units²

The machine part's maximum possible size is 13.5 + 0.07, or 13.57 millimeters.

Two mathematical expressions are shown to be equal in an equation, which is a declaration that is frequently denoted by the equals symbol (=). It implies that the amounts or values represented by both formulations are the same. Equations are a useful tool for representing the relationships between variables and for problem-solving because they allow you to identify the values of the unknown variables that the equation requires. They are frequently applied in the domains of math, physics, engineering, and other sciences as well as in daily activities like budgeting, time management, and cooking.

given

The following absolute value equation could be used to calculate the machine part's height's maximum and minimum values:

0.07 for |height - 13.5|

The machine part's minimum possible size is 13.5 minus 0.07, or 13.43 millimeters.

The machine part's maximum possible size is 13.5 + 0.07, or 13.57 millimeters.

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To balance the equation, the right side of the equation must also change by 4%.

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equals sign (=)

To balance the exchange equation, the percentage change on the left side of the equation [tex](\% \triangle M + \% \triangle V)[/tex] must equal the percentage change on the right side of the equation [tex](\% \triangle P + \% \triangle Q)[/tex].

Given that there has been a 3% change in the money supply [tex](\% \triangle M)[/tex] and a 1% change in velocity [tex](\% \triangle V)[/tex], the left side of the equation can be written as:

[tex]\%\triangle M + \%\triangle V = 3\% + 1\% = 4\%[/tex]

To balance the equation, the right side of the equation must also change by 4%. Therefore, the correct answer is:

B. 4%

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The given statement " the null hypothesis predicts there is a relationship between the variable and a significant difference between the groups." is False because the null hypothesis predicts that there is no relationship between the variables and no significant difference between the groups.

A null hypothesis is a statement that suggests that no relationship exists between two variables. It serves as the baseline assumption and a starting point for researchers to test their alternative hypothesis.

Null hypothesis testing is a statistical method used to compare two mutually exclusive propositions: the null hypothesis and the alternative hypothesis.

In hypothesis testing, the null hypothesis states that there is no significant difference between two groups, while the alternative hypothesis suggests that there is a significant difference between the two groups.

If the observed data deviates significantly from what we would expect under the null hypothesis, we reject it in favor of the alternative hypothesis.

If the observed data does not significantly deviate from what we would expect under the null hypothesis, we fail to reject it.

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Answer:

y = -3x + 3

Step-by-step explanation:

Knowing that;

Slope Intercept form : y = mx + b

To Find the Slope:

Used any given ordered pair given and use- m =  [tex]\frac{y_2-y_1}{x_2- x_1}[/tex]

Given Table:

X                  Y

1                   0

2                  -3

3                  -6

4                  -9

Solve:

I will use the ordered pair:

(1,0)

(2, -3)

1 and 2 are "x"

0 and -3 are "y"

m [tex]=\frac{-3-0}{2- 1}[/tex]

m [tex]=\frac{-3}{1}[/tex]

m [tex]=[/tex] -3

Now putting the value of m in equation

y = -3x + b

To find the y intercept (b) in the slope intercept formula:

Choose any ordered pair and substitute it in the slope intercept.

Let's choose the first point, (1,0) for calculating y-intercept.

Now plug it in the slope intercept formula:

y = mx + b

y = -3x + 3

Hence, the slope intercept form for that table is:

y = -3x + 3.

RevyBreeze

After answering the prοvided questiοn, we can cοnclude that As a result, expressiοn the pizza place is abοut a mile away frοm the schοοl.

In mathematics, an expressiοn is a grοup οf representatiοns, digits, and cοnglοmerates that resemble a statistical cοrrelatiοn οr regimen. An expressiοn can be a real number, a mutable, οr a cοmbinatiοn οf the twο. Additiοn, subtractiοn, rapid spread, divisiοn, and expοnentiatiοn are examples οf mathematical οperatοrs.

Arithmetic, mathematics, and shape all make extensive use οf expressiοns. They are used in mathematical fοrmula representatiοn, equatiοn sοlutiοn, and mathematical relatiοnship simplificatiοn.  

If the pizza place is 7 miles frοm yοur friend's hοuse and her hοuse is 8 miles frοm schοοl, the distance between the twο can be calculated as fοllοws:

distance frοm pizza shοp tο schοοl = distance frοm friend's hοuse tο schοοl - distance frοm friend's hοuse tο pizza shοp

8 miles minus 7 miles = distance frοm pizza place tο schοοl

1 mile frοm the pizza place tο the schοοl

As a result, the pizza place is abοut a mile away frοm the schοοl.

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