A skier can purchase a daily or season pass.


The daily pass costs $48 per day and included


the price of ski rentals. The season pass costs


$190 plus a daily fee of $10 to rent the skis.


How many days would a skier have to go skiing


in order for both options to cost the same?


A.


5 days


C. 240 days


D. 10 days


B.


3 days

True, The given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

The process range chart (R-chart) is a type of statistical control chart used to determine if a process is under statistical control. It's used to keep track of the changes in the variation in the process over time. It illustrates the amount of dispersion within the samples.

Therefore, we can conclude that the given statement is true, i.e., a process range chart (R-chart) illustrates the amount of dispersion within the samples.

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No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

What is Dilation transformation?

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is a picture with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation. The phrase "scale factor" describes this transition.

Enlargement is the term used when a dilatation results in a bigger picture.

Reduction occurs when a dilatation results in a smaller picture.

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

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Answer:

2.5 inches

Step-by-step explanation:

Divide 5 by 2

Answer:

C 4 loaves

Step-by-step explanation:

The transformation of AB that results in A'B' is a reflection across the line y = x.

transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure

There are five different transformations in math:

Dilation - The image is a larger or smaller version of the preimage; "shrinking" or "enlarging."

Reflection - The image is a mirrored preimage; "a flip."

Rotation - The image is the preimage rotated around a fixed point; "a turn."

Shear - All the points along one side of a preimage remain fixed while all other points of the preimage move parallel to that side in proportion to the distance from the given side; "a skew.,"

Translation - The image is offset by a constant value from the preimage; "a slide."

This is because the coordinates of point A (6, 2) become A'(2, 6) and the coordinates of point B (2, 6) become B'(6, 2).

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Given statement solution is :- The t-statistic associated with the test is approximately -0.28.

The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesised value relative to its standard error. Through the Student's t-test, it is utilised in hypothesis testing. In a t-test, the t-statistic is used to decide whether to accept or reject the null hypothesis.

To find the t-statistic associated with the test, we need to calculate the test statistic using the estimated slope coefficient, the null hypothesis, and the standard error.

The estimated slope coefficient is 4.93.

The null hypothesis is H₀: β₁ ≥ 5.14 (stating that the true slope coefficient is greater than or equal to 5.14).

The predicted slope's standard error is 0.74.

The formula to calculate the t-statistic is:

t = (estimated slope - hypothesized slope) / standard error

Plugging in the values:

t = (4.93 - 5.14) / 0.74

t = -0.21 / 0.74

t ≈ -0.28 (rounded to two decimal places)

Therefore, the t-statistic associated with the test is approximately -0.28.

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Answer:19.625in

Step-by-step explanation:

Answer: 19.625 inches is the answer

Step-by-step explanation:

⇛3(3+4)

⇛9 + 12

To answer this question, we need to consider the area under the graph of the function f for different intervals. Let's look at each interval separately:

a) ∫0 to 8 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 8. From the graph, we can see that the area under the curve for this interval is negative, since the curve is below the x-axis. Therefore, the value of this integral is negative.

b) ∫5 to 8 f(x) dx: This integral represents the area under the graph of f from x = 5 to x = 8. From the graph, we can see that the area under the curve for this interval is positive, since the curve is above the x-axis. Therefore, the value of this integral is positive.

c) ∫4 to 8 f(x) dx: This integral represents the area under the graph of f from x = 4 to x = 8. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval b, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral b.

d) ∫0 to 4 f(x) dx: This integral represents the area under the graph of f from x = 0 to x = 4. From the graph, we can see that the area under the curve for this interval is greater than the area under the curve for interval a, since the curve is higher above the x-axis. Therefore, the value of this integral is greater than the value of integral a.

Therefore, the quantities listed in increasing order from smallest to largest are:

a) ∫0 to 8 f(x) dx (negative)
b) ∫5 to 8 f(x) dx (positive)
c) ∫4 to 8 f(x) dx (greater than b)
d) ∫0 to 4 f(x) dx (greater than a)

In summary, the area under the graph of a function can be used to compare integrals for different intervals. By analyzing the graph and determining the sign and magnitude of the area under the curve for each interval, we can list the integrals in increasing or decreasing order.

a)  \(\int\limits^8_0 {f(x)} \, dx\), the value of this integral is negative.

b)  \(\int\limits^8_5 {f(x)} \, dx\), the value of this integral is positive.

c) ) \(\int\limits^8_5 {f(x)} \, dx\) , the value of this integral is greater than the value of integral b.

d)   \(\int\limits^4_0 {f(x)} \, dx\), the value of this integral is greater than the value of integral a.

What is the function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.

Here, we have
Given:  the area under the graph of the function f for different intervals.

a) \(\int\limits^8_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 8.

We can see that the area under the curve for this interval is negative since the curve is below the x-axis.

Hence, the value of this integral is negative.

b) \(\int\limits^8_5 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 5 to x = 8.

We can see that the area under the curve for this interval is positive since the curve is above the x-axis.

Hence, the value of this integral is positive.

c) \(\int\limits^8_4 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 4 to x = 8.

We can see that the area under the curve for this interval is greater than the area under the curve for interval b since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral b.

d) \(\int\limits^4_0 {f(x)} \, dx\): This integral represents the area under the graph of f from x = 0 to x = 4.

We can see that the area under the curve for this interval is greater than the area under the curve for interval a since the curve is higher above the x-axis.

Hence, the value of this integral is greater than the value of integral a.

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Answer:

D and B

Step-by-step explanation:

Because D is saying the negative number is less than, we know it is true.

Because B states that -7.1 is more, it is correct. -7.1 is closer to zero than -7.8, making it a larger number.

Answer:

B. -7.1 > -7.8

D. -6\(\frac{3}{5}\) < 6\(\frac{2}{5}\)

both B. and D. are correct!

Answer:

slope=43, y-intercept= (0,-1)

Step-by-step explanation:

y+1=43x, the slope is 43

y=43x-1, y-int means when x=0, which would mean it would equal to b in a y=mx+b, which is -1 in this case

Answer:

2pi(3x + 7)

Step-by-step explanation:

In order to solve for the circumference, consider the area and circumference formulas. What is common among them? The radius. Take a look at their formulas below;

\(Circumference = 2\pi r,\\Area = \pi r^2,\\\\Where, r = radius\)

Now if the area of this circle is given to be π ( 9x^2 + 42x + 49 ) we can plug it into the area formula as " Area " and solve for r ( radius );

\(\pi * ( 9x^2 + 42x + 49 ) = \pi r^2,\\( 9x^2 + 42x + 49 ) = r^2\)

As you can see, π was eliminated on either side of the equation, leaving us with the simplified equation ( 9x^2 + 42x + 49 ). This expression is a perfect square. How so? Well you can rewrite the expression as ( 3x )^2 + 2 * ( 3x ) * ( 7 ) + ( 7 )^2, or ( 3x + 7 )^2;

\(( 3x + 7 )^2 = r^2,\\r = | 3x + 7 |,\\r = 3x + 7, r = - 3x - 7\\\\Solution, r = 3x + 7\)

If r = 3x + 7, let us plug it into the circumference formula as to solve for the circumference;

\(Circumference = 2\pi r,\\Circumference = 2\pi * ( 3x + 7 )\)

Solution = 2pi(3x + 7)

Answer:

Monthly pay = int. rate / 12 months * cost of car after downpayment / (1-(1+ int. rate/12 months)^( - term length of loan )

Step-by-step explanation:

Just plug in your numbers:

M = 0.0375/12 * 30000/(1-(1+.0375/12)^60)

since 5 years is 60 months

It will take Daquin 63min to finish rest of his homework which is 70% of the total homework, if 30% is done in 27 minutes.

Daquin has completed 30% of his work.

Remaining work will be 100-30 = 70%

Means 70% of the total work is remaining to do by Daquin.

By applying unitary method:

Since, to do 30% of the homework it take 27 minutes.

Therefore, To do 1% of the homework it will take 27/30 minutes.

So, To do 70% of the homework it will take (27/30)×70 min

= 63 min

Hence, It will take him 63min to finish rest of his homework.

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The annual profits of the company Eve works for will increase by 25% every year. The annual profits in 3 years will be approximately $709,555.52.

The annual profits of the company Eve works for will increase by 25% every year. If the company makes $363,200 this year, we can calculate the annual profits in 3 years by applying the 25% growth rate.

To find the annual profits in 3 years, we need to multiply the current year's profits by \((1 + \text{growth rate})^{\text {number of years}\).

In this case, the growth rate is 25% or 0.25, and the number of years is 3.

So, the calculation would be:

Annual profits in 3 years = $363,200 * (1 + 0.25)³

To simplify the calculation, let's break it down step by step:

Step 1: Calculate the growth rate by adding 1 to the percentage growth rate: 1 + 0.25 = 1.25

Step 2: Raise the growth rate to the power of the number of years: 1.25³ ≈ 1.9531

Step 3: Multiply the current year's profits by the result of step 2: $363,200 * 1.9531 ≈ $709,555.52

Therefore, the annual profits in 3 years will be approximately $709,555.52.

Please note that rounding the answer to the nearest cent gives $709,555.52.

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True ,A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations.

How do nominal and ordinal differ?

What in statistics is a ratio variable?

Multiplicity of ratio variables (statistics) a variable with interval characteristics as well as meaningful ratios between any two of its values, which makes multiplication and division operations comprehensible.

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Answer:

y = 5 x = 4

Step-by-step explanation:

System of equations.

Answer:

x = 4

y = 5

Step-by-step explanation:

A)

5x - 2y = 10

x - y = -1             (Multpliy this by -2)

-2x + 2y = 2

5x - 2y = 10

3x = 12

x = 4

x - y = -1

4 - y = -1

-y = -5

y = 5

B)

Yes, the prices satisfy both equations

Answer:

Step-by-step explanation:

Since the swimming pool is cylindrical, we would find its volume by applying the formula for determining the volume of a cylinder which is expressed as

Volume = πr²h

Where

r represents radius of the cylinder

h represents height

π = constant = 3.14

From the information given,

Diameter = 12 feet

Radius, r = diameter/2 = 12/2 = 6 feet

h = 4 feet

Volume = 3.14 × 6² × 4 = 452.16ft³

Since 1 cubic foot is approximately 7.48 gallons, the number of gallons of water that the swimming pool can contain is

452.16 × 7.48 = 3382.16 gallons

The conclusion is that the bag filling machine appears to be working correctly at this setting.

Based on the information provided, the manufacturer conducted a hypothesis test to determine if the bags are underfilled at the 420 gram setting. The null hypothesis (H0) is that the bags are not underfilled, while the alternative hypothesis (H1) is that the bags are underfilled.

Since the manufacturer failed to reject the null hypothesis at the 0.01 level of significance, this means that there is not enough evidence to support the claim that the bags are underfilled at the 420 gram setting. In other words, the bag filling machine appears to be working correctly at this setting.

It's important to note that the conclusion may change if the sample size or the level of significance is different. Additionally, other factors such as the accuracy of the measuring device used or the consistency of the banana chips themselves may also impact the results.

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Answer:

Step-by-step explanation: I think it's D

Binding constraints directly influence the optimal solution in a linear Programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution.

binding constraints and positive slack in the context of linear programming. In a linear programming problem, we aim to find the optimal solution for an objective function, given a set of constraints. The terms "binding constraints" and "positive slack" are related to these constraints.

1. Binding constraints: These are constraints that directly impact the optimal solution of the problem. In other words, they "bind" the feasible region (the area where all the constraints are satisfied) and affect the maximum or minimum value of the objective function. Binding constraints are active constraints, as they influence the final solution.

2. Positive slack: Slack is the difference between the left-hand side and right-hand side of a constraint when the constraint is satisfied. If this difference is positive, it means that there is some "extra" or "unused" resource in that constraint. Positive slack indicates that the constraint is non-binding, meaning it does not directly impact the optimal solution. It shows that there is some room for the constraint to be further tightened without affecting the final outcome.

In summary, binding constraints directly influence the optimal solution in a linear programming problem, whereas constraints with positive slack are non-binding and do not directly impact the solution. Knowing the difference between these terms can help you better understand and analyze linear programming problems.

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The value of x from the equation is -1/ 5

An algebraic equation can be defined is any mathematical statement with two expressions set equal to each other.

The equation usually consists of a variable, coefficients and constants.

From the information given, we have;

8 - 5x - 5 - 10x = 6

collect like terms

- 5x - 10x = 6 - 8 + 5

Add like terms

- 15x = 3

Make 'x' the subject

x = 3/ -15

x = - 1/ 5

Thus, the value of x from the equation is -1/ 5

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Answer:

c

Step-by-step explanation:

it dose not have a set pattern

Answer:

a

Step-by-step explanation:

each input has to have exactly one output

In answer a the input 2 has 5 outputs

Answer:

➜ ∠4 = ∠2

➜ ∠2 + ∠3 = 180°

➜ ∠1 = ∠3

Step-by-step explanation:

     We can use vertical angles to prove the first statement true, ∠4 = ∠2.

     Next, ∠2 and ∠3 are supplementary angles, so if you add them together you will get 180 degrees. This statement is also true.

       Then, ∠1 and ∠2 are not complimentary angles. This statement is false.

       Lastly, we can use the same reasoning of the first one to prove this statement true as well. They are vertical angles, ∠1 = ∠3.

Answer: With 5 quarts of cleaning solution she would be able to clean 15 square yards of carpet.

Step-by-step explanation: Although substituting an equation might work if she is able to clean 12 square yards of carpet with 4 quarts then all you have to do is divide 12 by 4 to get the value of how many square yard can be cleaned with 1 quart from there you can take that value 5 times to find your answer, I hope this helps. Have a wonderful day ^^

What is remainder R when the polynomial p(x) is divided by (2x - 1)? is (2x - 1) factor of p(x)?

p(x) = 2x² + 3x + 1

Answer :

R = 3

and (2x - 1) not factor of p(x) because, if (2x - 1) factor of p(x) remainder R when the polynomial p(x) divided by (2x - 1) is R = 0

∴ so the answer is option A

« Attached »

we have that

the radius is

r=12.1 in

the volume of a sphere is

substitute the given values

Part 2

In this problem we have the diameter of the sphere

D=13.6 mm

so

r=D/2=13.6/2=6.8 in

substitute in the formula