gym offers multiple exercise classes per day. The number of people in an exercise class this week is represented in the list.

3, 6, 8, 7, 2, 4, 5, 10, 7, 14

What is the value of the mode for this data set?

14
8
7
3

2 is the value of C in the function by Rolle's theorem.

What is Rolle's Theorem ?

Rolle's theorem states that if f is a continuous function on the closed interval [a,b] differentiable on the open interval (a,b) and f(a)=f(b), then at least one number c is indicates that it exists. We get (a,b) such that f'(c) = 0. For Rolle's theorem to be true, all three of his conditions are important:

Condition 1:

f(x) is continuous on the closed interval [a,b]. Condition 2:

f(x) is differentiable on the open interval (a,b). Condition 3:

f(a) = f(b).  

F(x) = x² - 4x + 8  on the interval [0 , 4 ]

f(x) is continuous [0 , 4] & veriable on (0 , 4 )  (∵ f'(x) = 2x - 4 )

  f(0) = 8      f(4)  = 16 - 16 + 8   = 8

   ∴ f(0) = f(4)     hence  f(x) satisfies these conditions.

 ∴  F C ∈  (0 , 4)

     f'(c) = 2c - 4 = 0

            2c = 4

               c = 2

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To calculate SS E(Sum of Squared Error ) we use the formula of

SSE Total SS - Regression, SS but this answer does not make sense

because the SSE cannot be negative.

In statistics, the discrepancy between the observed and anticipated

values is known as the sum of squares error (SSE). Since it is the sum

of the squares of the residual or the difference between predicted

values and actual values, it is also known as the sum of squares

residual (SSR).

To calculate the Sum of Squared Error (SSE), we can use the formula:

SSE = Total SS - Regression SS

We are given the value of Regression SS as 3538.71 and the value of Total SS as 18. Therefore, we can calculate the value of SSE as:

SSE = Total SS - Regression SS

SSE [tex]= 18 - 3538.71[/tex]

SSE = [tex]-3520.71[/tex]

However, this answer does not make sense because the SSE cannot

be negative. This suggests that there may be an error in the given

information. Specifically, the value of Total SS should be greater than

or equal to the value of Regression SS. Without additional information

, we cannot provide a correct answer for this question.

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Kaya will pay $728 for skiing 2 regular-season weekdays, 8 regular-season weekend days, and 3 holiday-season days with the Flex Pass option.

Amount is a quantity or number that can be measured, counted, or compared. It is usually used to refer to a numerical value, such as a sum of money, an amount of time, a quantity of goods, or a measure of a person's height or weight. It is also used to refer to the total or aggregate of something, such as the amount of rainfall in a given year.

The total amount Kaya will pay for skiing 2 regular-season weekdays, 8 regular-season weekend days, and 3 holiday-season days with the Flex Pass option is $728. This is calculated as follows:

2 regular-season weekdays × $80/day = $160
8 regular-season weekend days × $90/day = $720
3 holiday-season days × $95/day = $285
Total = $160 + $720 + $285 = $1,165
Flex Pass discount = $1,165 × 0.37 = $432
Total amount Kaya will pay = $1,165 − $432 = $728.

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A. He earned GH¢12035.77 in interest over 7 years.

B. He received a total of GH¢26135.77 at the end of 7 years.

Compound interest is a type of interest where the interest earned is added to the principal amount and then the interest is calculated on the new total. In other words, it is interest earned on both the initial principal and the interest accumulated on that principal over time.

A man deposited GH¢14100.00 at 8% per annum compound interest. If at the end of 4

years he transfers the total amount to another bank offering 12% compound interest per

annum.

a. How much interest did he get at the end of 7 years?

b. Calculate the total amount he received at the end of seven years.

To solve this problem, we can use the compound interest formula:

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

where:

A = final amount

P = principal amount (initial deposit)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

Using this formula, we can solve the problem as follows:

a. First, we need to find the amount of money he will have after 4 years of compound interest at 8% per annum:

P = GH¢14100.00

r = 8% = 0.08

n = 1 (compounded annually)

t = 4 years

A =  P[tex](1 + r/n)^{(nt)}[/tex]

A = GH¢14100.00(1 + 0.08/1)^(1*4)

A = GH¢18285.12

So after 4 years, he will have GH¢18285.12. Now we need to find out how much interest he will earn over the next 3 years, when he transfers the money to another bank offering 12% compound interest per annum:

P = GH¢18285.12

r = 12% = 0.12

n = 1 (compounded annually)

t = 3 years

A =  P[tex](1 + r/n)^{(nt)}[/tex]

A = GH¢18285.12(1 + 0.12/1)^(1*3)

A = GH¢26135.77

So after 7 years, he will have GH¢26135.77. To find out how much interest he earned, we can subtract the initial deposit:

Interest = A - P

Interest = GH¢26135.77 - GH¢14100.00

Interest = GH¢12035.77

Therefore, he earned GH¢12035.77 in interest over 7 years.

b. Calculate the total amount he received at the end of seven years.

To calculate the total amount he received at the end of 7 years, we simply add the initial deposit to the interest earned:

Total amount = P + Interest

Total amount = GH¢14100.00 + GH¢12035.77

Total amount = GH¢26135.77

Therefore, he received a total of GH¢26135.77 at the end of 7 years.

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Answer

approximately 0.0067

Step-by-step explanation:

If you multiply 0.0067 with 16,500 you get about 110.55 and the more you keep going with the 6, the closer it gets to 110$.

Step-by-step explanation:

Angle DFE is  360 - 256 = 104 degrees

 the area of this is   104 /360 the of the entire circle area ( pi r^2)

  Total Area = pi (14)^2  = 196 pi

104 / 360    *   196 pi = 177.9 cm^2

We may infer after addressing the stated question that As a result, the vertices of triangle A'B'C' are as follows: A'(-2, -4) (-2, -4); B'(-7, -6) (-7, -6); C'(-1, -13) (-1, -13)

A triangle is a polygon since it has three sides and three vertices. It is a basic geometric shape. Triangle ABC refers to a triangle with the vertices A, B, and C. In Euclidean geometry, a single plane and triangle are obtained when the three points are not collinear. If a triangle has three sides and three corners, it is a polygon. The triangle's corners are the spots where the three sides meet. The sum of three triangle angles equals 180 degrees.

To reflect a point (x,y) over the line y=-x, we first swap its x and y coordinates, then negate both:

The inverse of point (x,y) is (-y, -x).

Hence, by reflecting each of A, B, and C over the line y=-x, we can obtain the vertices of triangle A'B'C':

Vertex A' is the mirrored image of A. (-2, -4)

Vertex B' is a mirror of Vertex B. (-7, -6)

Vertex C' is the mirrored image of C. (-1, -13)

As a result, the vertices of triangle A'B'C' are as follows:

A'(-2, -4) (-2, -4)

B'(-7, -6) (-7, -6)

C'(-1, -13) (-1, -13)

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Part A: The total surface area of the bench is 134.8 square feet. Part B: It will cost $103.90 to cover the bench in ceramic tiles.

Surface area is a measurement of the overall space occupied by an object's surface. It is the total area of a three-dimensional object faces or surfaces. Square units like square inches, square feet, or square metres are commonly used to express surface area.

Calculating the surface area of a cube, for instance, requires multiplying the area of one face (length x width) by the number of faces (6 in the case of a cube).

For the given dimensions of the rectangular prism we have:

Part A: The surface area is:

Front and back faces: 6 ft x 5 ft = 30 sq ft x 2 = 60 sq ft

Top and bottom faces: 6 ft x 3.4 ft = 20.4 sq ft x 2 = 40.8 sq ft

Side faces: 5 ft x 3.4 ft = 17 sq ft x 2 = 34 sq ft

Total surface area = 60 + 40.8 + 34 = 134.8 sq ft

Therefore, the total surface area of the bench is 134.8 square feet.

Part B:

The cost of covering in tiles is:

Cost of tiles = Total surface area x Cost per square foot

Cost of tiles = 134.8 sq ft x $0.77/sq ft

Cost of tiles = $103.90

Therefore, it will cost $103.90 to cover the bench in ceramic tiles.

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The equation sin²a / (1 + cos a) simplifies to 1 - cos a.

Trigonometry is one of the most significant branches of mathematics, with numerous applications in a wide range of fields. The study of the relationship between the sides and angles of a right-angle triangle is the focus of the "Trigonometry" branch.

To simplify sin²a / (1 + cos a), we can first use the identity:

sin²a + cos²a = 1

Rearranging this identity, we get:

sin²a = 1 - cos²a

Substituting this expression into the numerator of the fraction, we get:

sin²a / (1 + cos a) = (1 - cos²a) / (1 + cos a)

Now, we can use the identity:

a² - b² = (a + b) (a - b)

to factor the numerator:

(1 - cos²a) = (1 + cos a) (1 - cos a)

Substituting this expression back into the fraction, we get:

sin²a / (1 + cos a) = [(1 + cos a) (1 - cos a)] / (1 + cos a)

Simplifying the fraction, we get:

sin²a / (1 + cos a) = 1 - cos a

Therefore, sin²a / (1 + cos a) simplifies to 1 - cos a.

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Answer:

9b ≤ 15

Step-by-step explanation:

The inequality that represents the given sentence is:

9b ≤ 15

Here, "9b" represents the product of b and 9, and "≤" represents "less than or equal to".

The sample space is (R, G, P, Y).(OB)

What is sample space?

A sample space is a collection  of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”.  A sample space may contain a  finite number of outcomes which depends on the experiment.

You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1

yellow (Y).

So here is 4 sections

Red(R), Green (G), Purple (P), Yellow(Y)

So there are 4 sections in sample space

The sample space for one spin of the spinner is  (R, G, P, Y).

Hence, the sample space is (R, G, P, Y).

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Jessica used 22 pounds of type-A coffee in the blend rather than the

type-B coffee.

A blend is a mixture of two or more different things, typically substances or products. For example, a coffee blend is a mixture of two or more types of coffee beans that are combined to create a specific flavor profile. In the context of the problem given earlier, the blend refers to a mixture of two types of coffee that Jessica's Coffee Shop creates by combining specific amounts of each type.

Let's use variables to represent the unknown quantities in the problem:

Let x be the number of pounds of type A coffee used.

Then, the number of pounds of type B coffee used is 2x (since twice as many pounds of type B coffee were used).

The total cost of the blend is $302.50. We can use this information to set up an equation:

5.55x + 4.10(2x) = 302.50

Simplifying and solving for x:

5.55x + 8.20x = 302.50

13.75x = 302.50

x = 22

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Let R be the total number of stickers Ronald had at first, and let B be the number of stickers he gave to Bryan.

According to the problem, he gave 10 stickers to Haziq, so he has R - 10 stickers left.

He gave 4 stickers of the number he had at first to someone (which is not mentioned in the problem). Therefore, he gave 4 stickers from R, so he has R - 4 stickers left.

We know that the number of stickers he gave to Haziq plus the number of stickers he gave to Bryan is equal to the total number of stickers he gave away. Therefore, we can write:

10 + B = R - 4

Solving for B, we get:

B = R - 14

Also, we know that he has half of the stickers he had at first after giving some away. Therefore:

(R - 10 - B) = 1/2 * R

Substituting B = R - 14 in the above equation, we get:

(R - 10 - R + 14) = 1/2 * R

4 = 1/2 * R

R = 8

So Ronald had 8 stickers at first.

Substituting R = 8 in the above equations, we get:

B = R - 14 = -6

This means that Ronald didn't give any stickers to Bryan, and he has negative stickers left. Therefore, the problem seems to have an error. Please check if the problem is correct or if there is any missing information.

294 number of burgers, the food truck will be able to sell on the basis of the data given and probability of a person selected at random out of 900 will buy a burger is option C, 294 burgers.

What is probability?

It is a field of mathematics that assesses the potential outcomes of a given sample space as well as the relative likelihoods and distributions of those possibilities. The term "probability" is frequently used to refer to the likelihood that a specific event (or group of events) will occur, either as a number between 0 and 100% or on a linear scale from 0 (impossibility) to 1. Statistics is the study of probability applied to possibilities.

Given that,

Number of burgers on 3 different day:

Day-1=35 burgers

Day-2=18 burgers

Day-3=45 burgers

Total burgers sold in all three days= 35+18+45

                                                         =98 burgers

Total samples collected on all three days=100+100+100

                                                                    =300 people

Probability that person chosen at random out of 300, purchases a burger= [tex]\frac{favourable outcomes}{total outcomes}[/tex]

          =[tex]\frac{98}{300}[/tex]

Probability that person chosen at random out of 900, purchases a burger= probability of people chosen out of 300 x 900

           =[tex]\frac{98}{300}[/tex] x 900

           =98 x 3

           =294 burgers.

The number of burgers that will be sold by food truck=294 burgers.

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Therefore, the number that makes the polynomial a perfect square quadratic is 100.[tex]g^{2}[/tex].

I believe you meant to ask about "binomial", which is a statistical term used to describe a type of probability distribution.

In probability theory and statistics, the binomial distribution is a discrete probability distribution that describes the number of successes in a fixed number of independent and identical Bernoulli trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant across all trials.

The binomial distribution is used in many fields, including biology, engineering, and finance, to model the occurrence of events with two possible outcomes, such as the success or failure of a new product launch or the presence or absence of a genetic trait in a population.

To see why, we can use the technique of completing the square.

Starting with g² - 20g, we want to add and subtract a constant term that will allow us to write the expression as a square of a binomial. To do this, we can take half of the coefficient of the linear term (-20g), square it, and add and subtract the result:

[tex]g^2-20g + (-20/2)^2 - (-20/2)^2[/tex]

Simplifying this expression, we get:

[tex](g - 10)^2 - 100[/tex]

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Therefore, it will cost $8400 to build a floor in the storage house with dimensions 12 feet wide, 10 feet long, and 8 feet high.

Square feet (often abbreviated as sq ft or ft²) is a unit of area commonly used in the United States and other countries that measures the area of a two-dimensional space. One square foot is equal to the area of a square with sides that are each one foot long. For example, a room that measures 10 feet by 12 feet has an area of 120 square feet (10 x 12 = 120). Square feet are commonly used to measure the size of houses, apartments, and commercial spaces, as well as outdoor areas such as yards or gardens.

To calculate the cost of building a floor in the storage house, we need to first determine the area of the floor.

The area of the floor is simply the product of the length and width of the storage house. Therefore:

[tex]Area of floor = Length * Width = 12 ft *10 ft = 120 sq ft[/tex]

To calculate the cost of building the floor, we can multiply the area of the floor by the cost per square foot:

Cost of building floor = Area of floor × Cost per square foot

[tex]Cost of building floor = 120 sq ft * $70/sq ft = $8400[/tex]

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The completed sentence is "The path in step 4 is perpendicular to the path in step 5, and the path in step 3 is parallel to the path in step 6."

Step 1: Start at the big tree in the backyard.

Step 2: Walk 9 paces south - This means walking straight down or vertically down on a grid.

Step 3: Walk 6 paces northeast - This is a diagonal path at a 45-degree angle between east and north directions.

Step 4: Walk 10 paces north - This means walking straight up or vertically up on a grid.

Step 5: Walk 4 paces west - This means walking straight to the left or horizontally left on a grid.

Step 6: Walk 3 paces southwest - This is a diagonal path at a 45-degree angle between the south and west directions.

Step 7: Look under the rock for your next clue.

The path in step 4 is perpendicular to the path in step 5 because the north direction is vertically up, and the west direction is horizontally left. These directions form a 90-degree angle or are perpendicular to each other.

The path in step 3 is parallel to the path in step 6 because both are diagonal paths at 45-degree angles. Step 3 goes northeast, while step 6 goes southwest. These paths are parallel because they both have the same angle, even though they move in opposite directions.

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Answer:

A.

Step-by-step explanation:

I had this question before but instead of finding the equation, it gave me THE equation to solve.

The answer of given equation is = 1 { [tex]( a)^0[/tex] that means the value is 1}

An exponent and a power both refer to the same concept, which is a way to represent repeated multiplication of a number or a variable by itself. The exponent or power is usually represented as a superscript to the right of the base number or variable.There are 10 basic rule

For example, in the expression 2³, the base number is 2, and the exponent or power is 3. This means that 2 is being multiplied by itself three times. So, 2³ is equal to 2 x 2 x 2, which equals 8.

Similarly, in the expression[tex]x^4[/tex], the base is x, and the exponent or power is 4. This means that x is being multiplied by itself four times. So,[tex]x^4[/tex] is equal to x x x x, which can be written as x multiplied by itself four times.

Any number or variable raised to the power of 0 is equal to 1. Therefore,

[tex](x^36y^18z^12)^0[/tex] = 1  ( According to this rule, when the power of any integer is zero, then its value is equal to 1, such as;

[tex]a^0[/tex]= 1

where ‘a’ is any non-zero term.

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Answer:

The center of the circle is given as (-3, 4) and the radius is given as the square root of 5 (√5).

The standard form equation of a circle is:

(x - h)^2 + (y - k)^2 = r^2

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

Substituting the given values, we get:

(x - (-3))^2 + (y - 4)^2 = (√5)^2

Simplifying and squaring the radius, we get:

(x + 3)^2 + (y - 4)^2 = 5

Therefore, the equation of the circle is (x + 3)^2 + (y - 4)^2 = 5.


since there isn't much to it this is the best I can do, sorry if this wasn't what you are looking for

Thus, the base area of the rectangular prism is found as:  1542 sq. m.

In terms of geometry, the rectangular prism is a solid 3-dimensional object having six faces and a rectangular base. Right and non-right (lateral) rectangular prisms are the two varieties of rectangular prisms that are available.

A somewhat common kind of prism is the rectangular prism. One definition of a rectangular prism is a prism with rectangle-shaped bases. Its other faces are indeed rectangles because the bases are rectangles. These are a rectangular prism's characteristics:

Volume of rectangular prism = 26,214 cu. m.

Height = 17 m,

Formula:

Volume of rectangular prism  = Base area * height

Base area = Volume of rectangular prism / Height

Base area = 26,214 / 17

Base area = 1542 sq. m

Thus, the base area of the rectangular prism is found as:  1542 sq. m.

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The shortest side is the middle side minus 14. The length of the shortest side is x=-12.

Length is the measurement of something. It is measured n meters and kilometers.

Since the triangle is a right triangle you can use the Pythagorean theorem to find the lengths of each side

a² + b² = c²

The longest side of every right triangle is the hypotenuse so right away we know that 26 m.

One side is a = x and the other is b = 14 + a. This is because it says "One of the shorter sides is 7 m longer than the other" which can be translated into the equation 7 + x which leaves the remaining side as simply x.

Put these equations into the Pythagorean Theorem.

c = 26

a = x

b = 7 + x

a² + b² = c²

x² + (14 + x)² = 26²

Distribute then solve for x to find the shortest side.

x² + x² + 26x + 196  = 676

2x² + 26x - 480 = 0

x² + 13x - 240 = 0

x + -12

x=-12 x=5

Thus, the shortest length is x = 12.

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The answer is (x, y) → (0.75x, 0.75y). This is because the dilation is using the origin (0, 0) as the center of the dilation.

A type of transformation where a figure is enlarged or reduced, while its shape is preserved. It is also known as scaling, enlargement, or contraction.

In a dilation centered at the origin, the coordinates of the dilated point are multiplied by a scale factor.

The scale factor for this dilation is 0.75, meaning that all x-coordinates and all y-coordinates are multiplied by 0.75. This is represented mathematically as (x, y) → (0.75x, 0.75y).

The other equations are not correct because they do not represent a dilation centered at the origin.

The first equation, (x, y) → (1.25x, 1.25y), is a dilation with a scale factor of 1.25, meaning that the coordinates are multiplied by 1.25. This would cause the hexagon to become larger, not smaller.

The second equation, (x, y) → (x - 1.25, y - 1.25), is a translation, not a dilation. This equation would move the coordinates 1.25 units to the left and 1.25 units down, but would not change the size.

The third equation, (x, y) → (x - 0.75, y - 0.75), is also a translation, not a dilation. This equation would move the coordinates 0.75 units to the left and 0.75 units down, but would not change the size.

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Among the given options expressions that will be equivalent to given expression is that of first and second option.

A mathematical expression having one or more variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division is known as an algebraic expression. Algebraic expressions are used to depict connections and describe mathematical situations in which the variables' values are unknown or change.

On simplifying given expression, we get

[tex]\frac{2}{3} (12-x)+6(\frac{1}{3} x-1)=8-\frac{2x}{3} +2x-6=2+\frac{4x}{3}[/tex]

Now, checking given options,

A. [tex]2+\frac{4x}{3}[/tex] is equivalent.

B. [tex]8-\frac{2x}{3} +2x-6[/tex] is equivalent.

C. [tex]\frac{x}{3} +2[/tex] in not equivalent.

D. [tex]6-\frac{2x}{3} +3x-6[/tex] is not equivalent.

Hence, only expressions in first and second option are Equivalent to given expression.

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The appropriate type of F-test for this scenario would be a repeated measures ANOVA.

An F-test is a statistical test used to compare the variances of two or more populations. Specifically, an F-test compares the ratio of the variances of the populations to determine whether they are significantly different from each other.

(a) The appropriate type of F-test for this scenario would be a repeated measures ANOVA, which is used when the same group of subjects is tested multiple times under different conditions.

(b) The appropriate type of F-test for this scenario would be an independent samples t-test or a two-way ANOVA with one factor being gender and the other being the speaker's gender.

(c) The appropriate type of F-test for this scenario would be a matched pairs t-test or a repeated measures ANOVA with the factor being the gender of the speaker. The requirement that each man has a woman of the same age implies that the two groups are matched on a demographic variable (age) that could potentially affect the outcome of the study.

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Answer:

Step-by-step explanation:

To find the possible coordinates of the library, we need to determine the line of points that are equidistant from the school and the bank, since the distance from the library to the school is the same as the distance from the bank to the school. This line will be the perpendicular bisector of the segment connecting the school and the bank.

First, we can find the midpoint of the segment connecting the school and the bank:

Midpoint = ((x1 + x2)/2, (y1 + y2)/2) = ((5 + 1)/2, (4 + 3)/2) = (3, 3.5)

Next, we can find the slope of the segment connecting the school and the bank:

Slope = (y2 - y1)/(x2 - x1) = (3 - 4)/(1 - 5) = -1/4

The slope of the perpendicular bisector will be the negative reciprocal of the slope of the segment connecting the school and the bank:

Slope of perpendicular bisector = -1/(-1/4) = 4

Now we have the midpoint and the slope of the perpendicular bisector, so we can use the point-slope form of the equation of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

y - 3.5 = 4(x - 3)

y - 3.5 = 4x - 12

y = 4x - 8.5

Therefore, the possible coordinates of the library must lie on the line y = 4x - 8.5. We can check each of the answer choices to see which one lies on this line:

   (1, 0): y = 4x - 8.5 = 4(1) - 8.5 = -4.5 (does not lie on the line)

   (2, 2): y = 4x - 8.5 = 4(2) - 8.5 = -0.5 (does not lie on the line)

   (4, 4): y = 4x - 8.5 = 4(4) - 8.5 = 7.5 (does not lie on the line)

   (5, 5): y = 4x - 8.5 = 4(5) - 8.5 = 11.5 (does not lie on the line)

   (6, 6): y = 4x - 8.5 = 4(6) - 8.5 = 15.5 (does not lie on the line)

   (7, 7): y = 4x - 8.5 = 4(7) - 8.5 = 19.5 (does not lie on the line)

Answer:

Step-by-step explanation:

   To find the daily expense for food and lodging for the family, we can use the formula:

   z = (x - μ) / σ

   where z is the z-score, x is the daily expense for food and lodging, μ is the mean daily expense, and σ is the standard deviation. Rearranging this formula to solve for x, we get:

   x = z * σ + μ

Substituting z = 1.5, σ = $60, and μ = $247, we get:

x = 1.5 * $60 + $247 = $337

Therefore, the daily expense for food and lodging for the family was $337.

   To find the percentage of families who spent less than $367 per day, we can standardize the value using the same formula as above:

   z = (x - μ) / σ

   Substituting x = $367, μ = $247, and σ = $60, we get:

   z = ($367 - $247) / $60 = 2

Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score less than 2, which is approximately 97.72%. Therefore, approximately 97.72% of families spent less than $367 per day.

   To find the percentage of families who spent more than $247 per day, we can use the same formula and standardize the value:

   z = (x - μ) / σ

   Substituting x = $247, μ = $247, and σ = $60, we get:

   z = ($247 - $247) / $60 = 0

Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score greater than 0, which is 50%. Therefore, 50% of families spent more than $247 per day.

   To find the percentage of families who spent more than $350 per day, we can standardize the value:

   z = (x - μ) / σ

   Substituting x = $350, μ = $247, and σ = $60, we get:

   z = ($350 - $247) / $60 = 1.72

Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score greater than 1.72, which is approximately 4.35%. Therefore, approximately 4.35% of families spent more than $350 per day.

   To find the percentage of families who spent less than $67 per day, we can standardize the value:

   z = (x - μ) / σ

   Substituting x = $67, μ = $247, and σ = $60, we get:

   z = ($67 - $247) / $60 = -3.00

Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score less than -3.00, which is approximately 0.13%. Therefore, approximately 0.13% of families spent less than $67 per day.

   To find the percentage of families who spent between $200 and $300 per day, we need to standardize both values and find the area between them. Using the same formula as above:

   z1 = ($200 - $247) / $60 = -0.78

   z2 = ($300 - $247) / $60 = 0.78

Using a standard normal distribution table or calculator, we can find the percentage of families with a z-score between -0.78 and 0.78, which is approximately 53.91%. Therefore, approximately 53.91% of families spent between

According to the information, the combined total profit TechWiz made from selling both MP3 and DVD players would be: 35x + 18(128 - x)

Let x be the number of MP3 players sold. Then the number of DVD players sold would be 128 - x (since the total number of players sold is 128).

The profit made from selling x MP3 players would be $35 times x, which is 35x.

Similarly, the profit made from selling (128 - x) DVD players would be $18 times (128 - x), which is 18(128 - x).

Therefore, the combined total profit TechWiz made from selling both MP3 and DVD players would be:

35x + 18(128 - x)

Learn more about expressions in: https://brainly.com/question/14083225

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Answer: a1/3=a((sub)1/3-1)x1/3

Step-by-step explanation: The recursive rule for geometric sequence should be a(sub)n =a(sub)n-1 times the ratio. Given the sequence your ratio should be 1/3.