A wilderness retail store asked a consulting company to do an analysis of their hiking shoe customers. The consulting company gathered data from each customer that purchased hiking shoes, and recorded the shoe brand and the customer's level of happiness. A Footlong shoe A Toes Knows shoe Displeased 4 3 Pleased 10 7 Very pleased 11 10 What is the probability that a randomly selected customer is pleased and purchased a Toes Knows shoe? Simplify any fractions.

Continuity is the formulation of a function that varies with no breaks or jumps. The concepts of limits and continuity have been used to show that the function is continuous at the number a below.

If a graph has no holes asymptotes or breaks at any point then the function is said to be continuous. Or if we can draw the function without lifting our pen then it is called continuous.

The conditions which it should satisfy are,

1)The limit must exist at that point.

2) The function must be defined at that point,  and

3)The limit and the function must have equal values at that point. So,

A function f(x) is said to be continuous at x=a if,

lim f(x) = f(a)

x→a

A function is said to be continuous on the interval [a,b] if it is continuous at each point in the interval.

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Answer:

x = 58-x-6

x = 58-6-x

x = 52-x

x+x = 52

2x = 52

x= 52/2

x = 26

58-26

= 32

Large number = 32

Small number = 26

I HOPE THIS HELPS YOU!!

Answer:

y - 7 = 1(x + 3)

Step-by-step explanation:

Point-Slope Form: \(y-y_1=m(x-x_1)\)

\({\large \textsf{where}\ m\ \textsf{is the slope}}\ \textsf{and}\ {\large{(x_1,y_1)\ \textsf{is the given coordinate.}}\)  

Given info:

A line with a slope of 1 and passes through the point (-3, 7).

Substitute the given values into the formula and simplify.

\(\implies y-7=1(x-(-3))\)

\(\implies y-7=1(x+3)\)

The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).

To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.

There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.

Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.

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Answer: No

To check if (-5,6) is a solution to the equation y=-7, we need to substitute -5 for x and 6 for y in the equation.

If the equation is true, then the ordered pair is a solution to the equation.

If we put (-5,6) into y=-7, we get 6=-7, which is not true.

So, (-5,6) is not a solution to the equation y=-7.

Answer:

17 7/12 gallons of gas.

Step-by-step explanation:

Set the fractions to like denominators. It'll make it a hell of a lot easier to add.

20 2/3rds = 20 8/12

9 1/4ths = 9 3/12

2 1/2 = 2 6/12

Adding those together gets you 31 17/12 which is 32 5/12 simplified.

Take that fraction and subtract it from your 50 gallons and it'll get you 17 7/12

Alex can buy at most 4 pounds of tomatoes

Let:

a represent pounds of tomatoes to buy

3a represent pounds of black beans to buy

Total cost of each ingredient that can be bought = number of pounds x price per pound

Tomatoes = a x $1.60 = 1.60a

Black beans = 3a x $1.70 = 5.1a

1.60a + 5.1a = 26.80

Add similar terms

6.7a = 26.80

Divide both sides of the equation by 6.7

a = 4 pounds

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Answer:

149 sq. ft

Step-by-step explanation:

For the triangle:

Base = 16-9 = 7 ft

Area of Triangle = 1/2 of  b.h

= 1/2 of 7 * 6

= 21 sq. ft

Area of Rectangle = l.b

= 5 * 16

= 128 sq. ft

Total Area = 149 sq. ft

To compare 6.209 and 6.29 you have to look at the hundredths place. Given that 0 is less than 9, then 6.209 is less than 6.29, or 6.209 < 6.29

To compare 71.6 and 71.63 you have to look at the hundredths place. Notice that 71.6 is equal to 71.60. Given that 0 is less than 3, then 71.6 < 71.63

To compare 0.842 and 0.824 you have to look at the hundredths place. Given that 4 is greater than 2, then 0.842 > 0.824

To compare 0.09 and 0.090, you have to represent 0.09 as 0.090. Then, both numbers are equal, that is, 0.09 = 0.090

To compare 5.31 and 5.13 you have to look at the tenths place. Given that 3 is greater than 1, then 5.31 > 5.13

Answer: k*6 and then you find the reciprocal of k*6 which is 1 over k*6

Step-by-step explanation:

Marcia's weekly journey to the office represents her commitment, resilience, and contribution to the supermarket. It symbolizes the bridge between her personal life and professional aspirations, allowing her to make a meaningful impact and find fulfillment in her work.

Each week, Marcia diligently travels to the office where she works at the supermarket. This routine has become a crucial part of her life, intertwining her personal and professional responsibilities.

The journey to the office signifies a transition from the comforts of her home to the bustling environment of the supermarket, where she fulfills her duties with dedication and commitment.

As Marcia embarks on her weekly commute, she prepares herself mentally for the day ahead. She envisions the tasks awaiting her, from assisting customers and stocking shelves to managing inventory and coordinating with colleagues.

The office represents not only a physical space but also a realm of productivity, growth, and camaraderie.

During her commute, Marcia often utilizes this time to gather her thoughts, listen to inspiring podcasts, or simply enjoy the scenery outside her window. The journey acts as a buffer zone, enabling her to transition from her personal life to her professional role effectively.

Arriving at the office, Marcia is greeted by the familiar faces of her colleagues, who have become her work family. Together, they create a supportive and collaborative atmosphere, sharing both successes and challenges. Marcia's dedication to her work is reciprocated by her team, fostering a sense of belonging and fulfillment.

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The number of freezers that can be shipped depends on the weight of an oven.

Total Weight: 42000 pounds

Weight of 90 ovens: 90w, where w is the weight of each oven.

Remaining weight to fill with freezers: 42000-90w

Weight of each freezer: 600 pounds

# of freezers that could be shipped: Remaining weight / freezer weight = (42000-90w)/600 = 70-3/20w

ANSWER: \(70-\frac{3}{20}w\), where \(w\) is the weight of each oven

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

The solution to the system of linear inequalities is the shaded region that satisfies both inequalities.

We have,

To find the solution to the system of linear inequalities:

2x - 3y < 12

y ≤ 2

We first graph the line 2x - 3y = 12:

To graph the line, we can find the x and y intercepts:

When x = 0, we have -3y = 12, then y = -4, so (0, -4) is a point on the line.

When y = 0, we have 2x = 12, then x = 6, so (6, 0) is a point on the line.

Plot these two points and draw the line passing through them:

Next, we shade the region that satisfies the inequality 2x - 3y < 12:

We can choose a test point not on the line, such as (0,0).

Substitute the coordinates into the inequality:

2(0) - 3(0) < 12, which is true.

Now,

We shade the region that satisfies the inequality y ≤ 2:

We shade the region below the horizontal line y = 2:

Therefore,

The solution to the system of linear inequalities is the shaded region that satisfies both inequalities.

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Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

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Answer:

x = 24 degrees

Step-by-step explanation:

A line is 180 degrees. If we are given that angle BOC is 156 degrees, we can subtract that from 180. 180 - 156 = 24.

Pls mark brainliest.

Answer:

-5

Step-by-step explanation:

think of it on a number line the number furthest to the left is always the smallest and the numbers to the right are bigger

Answer:

-5

Step-by-step explanation:

On a number line, there are negative and positive numbers.

The numbers -2, -4, and -5 are negative (see the little dash sign - ? that's negative).

2 is positive (you see no sign or a plus + before it).

The number line is a good way to learn negative and positive numbers.

go left, and the numbers go smaller

go right and they get bigger

-5 is the smallest since it is the most far left on the number line.

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

The (A ∪ B) ∩ (A ∪ C) ∩ (B ∪ C) ∩ (B ∩ C) ∩ C is an empty set {}.To find the sets A ∪ B, A ∩ B, A ∪ C, A ∩ C, B ∪ C, and B ∩ C, we can perform the following operations:

A ∪ B: The union of sets A and B includes all unique elements from both sets, resulting in {10, 11, 12, 13, 14, 16}.

A ∩ B: The intersection of sets A and B includes only the common elements between the two sets, which are {10, 12}.

A ∪ C: The union of sets A and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 13}.

A ∩ C: The intersection of sets A and C includes only the common elements, which is {10, 11}.

B ∪ C: The union of sets B and C combines all unique elements, resulting in {7, 8, 9, 10, 11, 12, 14, 16}.

B ∩ C: The intersection of sets B and C includes only the common elements, which is an empty set {} since there are no common elements.

Finally, performing the remaining operations:

(A ∪ B) ∩ (A ∪ C): This is the intersection of the union of sets A and B with the union of sets A and C. The result is {10, 11, 12, 13} since these elements are common to both unions.

(B ∪ C) ∩ (B ∩ C): This is the intersection of the union of sets B and C with the intersection of sets B and C. Since the intersection of B and C is an empty set {}, the result is also an empty set {}.

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Answer:

i hope this helps you

Step-by-step explanation:

A line graph is commonly used to display change over time as a series of data points connected by straight line segments on two axes. The line graph therefore helps to determine the relationship between two sets of values, with one data set always being dependent on the other set

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Answer:

So to do this you need a protactor and measure it with it, then add the total

Step-by-step explanation:

Answer:

Length: 23m

Width: 11

Step-by-step explanation:

68-24=44

44÷4=11

11+12=23

23+23=46+11=57+11=68

Answer: q -> p

Step-by-step explanation:

just took the test

Answer:

Step-by-step explanation:

Considering the store in your neighborhood, price per pound of chicken is $2.89. The cost of 3 pounds is

3 × 2.89 = $8.67

Distance = 2.1 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

2.1/22 = 0.095 gallons

Cost of gas = $1.98/gallon

Cost of 0.095 gallons =

1.98 × 0.095 = $0.1881

Total cost = 8.67 + 0.1881 = $8.86

Considering the store across town, price per pound of chicken is $1.59. The cost of 3 pounds is

3 × 1.59 = $4.77

Distance = 8.6 miles

The car averages about 22 miles per gallon in the city. It means that the number of gallons needed is

8.6/22 = 0.39 gallons

Cost of gas = $1.98/gallon

Cost of 0.39 gallons =

1.98 × 0.39 = $0.77

Total cost = 4.77 + 0.77 = $5.54

Therefore, it is cheaper going to the further store. The amount that the cheaper option saves is

8.86 - 5.54 = $3.32

The number of possible outcomes that can be illustrated in tree diagram is 9.

A new management planning tool called a tree diagram shows the hierarchy of activities and subtasks required to accomplish a target. A single item that branches into two or more, each of which branches into two or more, and so on, is the starting point of the tree diagram.

A tree diagram is a type of chart that starts with one main thing, branches out into others, and keeps spreading out until the main item's line of inquiry has been thoroughly explored. The tree diagram's branching steps encourage you to make a methodical transition from the broad to the specific.

As according to given data you can travel to New York San Francisco, or Miami during June July or August.

According to given information the calculation is as follows:

From NewYork = 3

From San Francisco = 3

From Miami = 3

Total = 9

Therefore, number of possible outcomes is 9.

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Answer:

f⁻¹(x) = 4x - 2

Step-by-step explanation:

To find the inverse of a function, switch the places of x and y (or f(x)).

f(x) = 1/4x + 1/2 → y = 1/4x + 1/2

Switch the variables.

x = 1/4y + 1/2

Now you want to convert the equation back into y = mx + b form.

x = 1/4y + 1/2

Subtract 1/2 from both sides.

x - 1/2 = 1/4y

Now, you want to isolate y further by dividing both sides by 1/4 (or multiplying by 4).

4(x - 1/2) = y

Distribute the 4.

4x - 2 = y → y = 4x - 2 → f⁻¹(x) = 4x - 2

This is the inverse of your given function.

Answer:

Option B, Area of pentagon = 58.5 Square feet

Step-by-step explanation:

The remaining part of the question is attached as image

Solution

Area of pentagon has a triangle and a trapezoid

Area of triangle = 0.5 *base *height = 0.5*9 *3 = 13.5  square feet

Area of trapezoid = Area of rectangle – 2* area of smaller triangles

= 9 ft * 6ft – ( 2 * 0.5 * 6 ft * (9 ft – 6ft) /2

= 54 – (1*6*1.5)

Area of pentagon = 13.5 + 45 = 58.5 Square feet

Hence, option B is correct