Garrett had $6.20. He earned 7 dimes for doing his
chores. How much money does Garrett have now?
Skip count to find the answer.

the price per ticket that will give maximum revenue is $6.5, and the maximum revenue in dollars per ticket is $2.925.

As given,If club members charge $3 admission to a classic car show, 1000 people will attend, and for each $1 increase in price, 100 fewer people will attend.

We need to determine the price that will give the maximum revenue for the show and the maximum revenue in dollars per ticket.

Let the number of $1 increases in price be x. Then the number of people attending will be (1000 - 100x), and the price per ticket will be $(3 + x).The total revenue will be:

Revenue = Price × Quantity= $(3 + x) × (1000 - 100x)= $3000 - $100(x^2 + 7x)

The revenue function is quadratic, with the coefficient of the x^2 term being negative. Hence the graph of the function is a parabola which opens downwards, with a maximum at the vertex of the parabola.To find the value of x that will give maximum revenue, we first find the x-coordinate of the vertex.

For a quadratic function of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex is given by x = -b / (2a).In this case, a = -100, and b = -100(7) = -700. Therefore, the x-coordinate of the vertex is:x = -b / (2a)= 7/2= 3.5

Therefore, the value of x that will give maximum revenue is 3.5. Substituting this value of x in the revenue function, we get:Revenue = $3000 - $100(x^2 + 7x)= $3000 - $100(3.5^2 + 7(3.5))= $2925

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Answer:

0.5

Step-by-step explanation:

First we need to find the total number of hats 4 green hats + 3 blue hats + 1 orange hat = 8 hats P( green hat) = green / total      

                                            = 4 / 8                    

                                              = 1/2  

Answer:

Therefore, 95 cents is 42.22% of $2.25.

Step-by-step explanation:

To find the percentage of 95 cents in $2.25, we can use the following formula:

Percentage = (part / whole) x 100%

Here, the part is 95 cents and the whole is $2.25. We first need to convert 95 cents to dollars by dividing it by 100:

95 cents / 100 = $0.95

Now we can plug in the values into the formula and solve for the percentage:

Percentage = ($0.95 / $2.25) x 100%

Percentage = 42.22%

Answer:

I believe it will be 5 minutes for it to reach that.

When using a 95% confidence level, to achieve a 2% margin of error, If we are willing to increase the desired margin of error (to be larger than 2%), the sample size that we need will decrease.

The sample size required for a desired margin of error is inversely proportional to the square of the margin of error. This means that as the desired margin of error increases, the required sample size decreases.

In the given scenario, a 95% confidence level is used with a desired margin of error of 2%. This determines the initial sample size of 2,500.

If we are willing to accept a larger margin of error, let's say 3%, we can calculate the new sample size using the inverse square relationship. Since the desired margin of error is larger, the required sample size will be smaller.

To find the new sample size, we can set up the equation:

\((2,500)^2\) = (new sample size\()^2\) * (2%\()^2\) / (3%\()^2\)

Simplifying this equation, we find that the new sample size is approximately 1,111.

Therefore, if we are willing to increase the desired margin of error, the sample size that we need will decrease.

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Answer:

63

Step-by-step explanation:

7/8 x 72 = 63

Answer:

5^-4

Step-by-step explanation:

From the above evaluations, we can see that the absolute maximum value occurs at t = 3^(3/2) with f(3^(3/2)) = 1.4495, and the absolute minimum value occurs at t = -1 with f(-1) = 0.

To find the absolute maximum and absolute minimum values of the function f(t) = t - t^(1/3) on the interval [-1, 5], we need to evaluate the function at its critical points and endpoints within that interval.

Critical Points:

We find the critical points by taking the derivative of f(t) and setting it equal to zero:

f'(t) = 1 - (1/3)t^(-2/3)

Setting f'(t) = 0 and solving for t:

1 - (1/3)t^(-2/3) = 0

1 = (1/3)t^(-2/3)

3 = t^(-2/3)

3^(3/2) = t

t = 3^(3/2)

Endpoints:

We evaluate the function at the endpoints of the interval, t = -1 and t = 5.

Now, we compare the function values at these critical points and endpoints to determine the absolute maximum and minimum values.

Evaluate f(t) at t = -1:

f(-1) = -1 - (-1)^(1/3) = -1 - (-1) = -1 + 1 = 0

Evaluate f(t) at t = 3^(3/2):

f(3^(3/2)) = 3^(3/2) - (3^(3/2))^(1/3) = 3^(3/2) - 3 = 1.4495

Evaluate f(t) at t = 5:

f(5) = 5 - 5^(1/3)

Now, we compare the function values:

f(-1) = 0

f(3^(3/2)) = 1.4495

f(5) = 5 - 5^(1/3)

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Answer:

Let's call the number we're trying to find "x".

We know that 35% of x is 77, so we can set up the equation:

0.35x = 77

We also know that 90% of x is 198, so we can set up another equation:

0.9x = 198

We can use the first equation to find the value of x and then substitute that value into the second equation to find 55% of x.

To find x, we divide both sides of the first equation by 0.35:

x = 77 / 0.35 = 220

Now that we know x is 220, we can find 55% of x by multiplying 220 by 0.55:

0.55x = 220 * 0.55 = 121

So 55% of the number is 121.

Answer:

121

Step-by-step explanation:

Because one of the answers is already divisible by 10, allowing us to find 100% of the unknown number, we can first find 10% by dividing the 90% number by 9. 198/9 is 22, meaning 22 is 10% of the number. We can then multiply it by 10 to get 100%, 22(10)=220. Meaning our full number is 220

From here we can simply multiply by our desired percentage, which is 55%. In order to multiply by a percent, you have you divide the percent by 100 to get .55. From there you can do 220*.55= 121. Meaning our answer is 121.

Answer:

1

Step-by-step explanation:

x + 2y = 6, multiply by 2 = 2x + 4y = 12

2nd equation:                    2x - 3y = 26

It has one solution

Answer: One solution

Step-by-step explanation:

Convert both equations into slope-intercept form:

x+2y=6

2y=6-x

\(y=\frac{6-x}{2}\)

Slope = 6/2 = 3

2x-3y=26

y=2x-26/3

Slope = 2/3

Therefore, he system of equations have one solution because their slopes are not equal.  

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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Answer:

scale factor = \(\frac{1}{4}\)

Step-by-step explanation:

Given

A(4, - 2 ) → A'(1, - \(\frac{1}{2}\) )

To determine the scale factor compare the ratio of corresponding coordinates, image to original, that is

scale factor = \(\frac{1}{4}\) = \(\frac{-\frac{1}{2} }{-2}\) = \(\frac{1}{4}\)

Answer:

the answer was 9 (red)

Step-by-step explanation:

Answer:

Step-by-step explanation:

4

The most appropriate statement that expresses a possible relationship between the variables, rate of pedaling and speed of a bicycle, is option A: "As the rate of pedaling increases, the speed of a bicycle increases."

This statement suggests that there is a positive correlation between the rate of pedaling and the resulting speed of the bicycle. When a cyclist pedals faster, it generates more force and power, translating into increased speed. This relationship aligns with basic principles of physics, as a greater input of energy and effort through pedaling leads to a higher velocity or speed output.

Option B implies that decreasing bicycle speed necessitates an increase in the rate of pedaling, and option C indicates that increasing bicycle speed is associated with a decrease in the rate of pedaling.

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Since i bought 1 tray of chips, and a cake, the equation is:

\($9.25 + 24 = 33.25\)

Now for the pizza, since i bought 4 pizzas for 10.50 each, with 1/3 off. The equation is:

\(10.50 * 4 = 42\)

The special is 1/3 for the pizzas:

\(1/3 * 42 = 14\)

Now adding the prices its:

\(33.25 + 14 = 47.25\)

The total: $47.25

you're welcome :D

Answer:

g(x) = 5

Step-by-step explanation:

y and g(x) have many of the same properties. One of them is what is y when x = 4?

y = 2(4) - 3

y = 8 - 3

y = 5

f(x) = y = 5

f(x) = 5

f(4) = 5

The given statement of researchers pre-establish the rate of false rejection of the null hypothesis prior to conducting any testing for significance  is False.

The rate of false rejection of the null hypothesis prior to conducting any testing for significance is called the level of significance or alpha level.

Researchers typically establish the alpha level before conducting a significance test.

And it represents the probability of rejecting the null hypothesis when it is actually true.

The most commonly used alpha level is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is true.

However, the alpha level is not pre-established by researchers for all tests.

In some cases, researchers may use a different alpha level based on the nature of the study, the research question, or other factors.

Additionally, the alpha level can be adjusted during the analysis to control for the overall rate of false positives in a study.

Such as when conducting multiple hypothesis tests.

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1) 25%of50=$12.5. 50-12.5=37.5

2)20%of21=$4.2. 21-4.2=16.8

3)5%of12=$0.6.    12-0.6=11.4

HOPE THIS HELPED!!!

Answer:

1. $37.50

2.$16.80

3. 0.41

Step-by-step explanation:

Answer:

46$ in total

y=2r+20

If Isabella goes on 13 rides, she would have to pay a total of $46. If she rides 'r' times, the total cost would be expressed by the mathematical equation 20 + 2r.

This question relates to a linear relationship involving a fixed cost and a variable cost. In Isabella's case, the fixed cost is the admission fee, which is $20. The variable cost is the rides, where each ride costs $2.

So, if she goes on 13 rides, she will have to pay: $20 (for admission) + ($2 * 13 (rides)) = $20 + $26 = $46.

For r rides, the total cost would be: $20 (for admission) + ($2 * r (rides)). So the total cost for r rides can be expressed in a mathematical equation as: 20 + 2r.

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Answer:

its A

Step-by-step explanation: 16.95+6.95*9

The probability that a female college student from the group chose "housework" as their most likely activity on Saturday mornings cannot be determined without additional information.

The question states that the probability of a female college student choosing "housework" as their most likely activity on Saturday mornings needs to be determined. However, no information is given regarding the number of female college students in the group or the number of students who chose "housework" as their most likely activity.

Therefore, it is impossible to calculate the probability without any additional information. In order to calculate the probability, we would need to know the number of female college students in the group and the number of those students who chose "housework" as their most likely activity. Therefore, the probability cannot be determined without additional information.

Therefore, we can conclude that without additional information, the probability that a female college student from the group chose "housework" as their most likely activity on Saturday mornings cannot be calculated.

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To decide whether it is sensible for Stacy to utilize the ordinary show for the inspecting conveyance of the test extent, we got to check whether the conditions for utilizing the typical conveyance estimation are met. The conditions are:

The test estimate is expansive sufficient

The test information is autonomous

The populace is at slightest 10 times bigger than the test

The test estimate, in this case, is 50. To check whether it is expansive sufficient, ready to utilize the run the show of thumb that the test measure ought to be at the slightest 10% of the populace estimate.

Hence, based on these conditions, it is sensible for Stacy to utilize the ordinary demonstration for the inspecting conveyance of the test extent. She can accept that the testing dispersion is roughly typical with a cruel of p = 0.11 and a standard deviation of sqrt[(p(1-p))/n] = sqrt[(0.11(0.89))/50] = 0.05.

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Answer:

a. Let x = hours surfing and let y = hours lifting weights

b. x + y = 6

c. 100x + 75y = 500

By using the concept of relation, it can be proved that

If R is a Reflexive relation, then \(R^{-1}\) is a Reflexive relation

If R is a Symmetric relation, then \(R^{-1}\) is a Symmetric relation

If R is a Transitive relation, then \(R^{-1}\) is a Transitive relation

What is a relation?

Relation on a set \(X_1, X_2,....,X_n\) is the subset of the cartesian product

\(X_1 \times X_2 \times..... \times X_n\)

A)

Let R be a reflexive relation .

Let (x, x) ∈ R

Then (x, x) ∈ \(R^{-1}\)

So \(R^{-1}\) is reflexive

B)

Let R be a symmetric relation such that \(xR^{-1}y\) holds
so yRx holds

Since R is symmetric, xRy holds

\(yR^{-1}x\) hold

\(R^{-1}\) is symmetric

C)

Let R be a transitive relation such that \(xR^{-1} y\) and \(yR^{-1}z\) holds

Then yRx and zRy holds

Since R is transitive

zRx holds

\(xR^{-1}z\) holds

\(R^{-1}\) is transitive

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Complete Question

Let R Be A Relation On A Set A. Prove The Following: A) If R Is Reflexive, Then \(R^{-1}\) Is Reflexive. B) If R Is Symmetric, Then \(R^{-1}\)Is Symmetric. C) If R Is Transitive, Then \(R^{-1}\) Is Transitive.

By comparing the given series with (D) and taking the limit of their ratios as n approaches infinity, we can determine the convergence/divergence behavior of the given series.

To determine whether the series ∑ n=1 to ∞ (n^3 + 3n) / (25 + 2^n) converges or diverges using the limit comparison test, we need to compare it with a known series. The limit comparison test states that if the ratio of the terms of two series approaches a finite nonzero value as n approaches infinity, then both series either converge or diverge.

Let's examine the answer choices provided:

(A) ∑ n=1 to ∞ (n^1) / (B)

(B) ∑ n=1 to ∞ (n^2) / 1

(C) ∑ n=1 to ∞ (n^2) / 5

(D) ∑ n=1 to ∞ (n^3) / 1

Out of these choices, we can see that (D) ∑ n=1 to ∞ (n^3) / 1 has the same power of n in the numerator as the given series. Therefore, we can use the limit comparison test with this series to determine whether the given series converges or diverges.

By comparing the given series with (D) and taking the limit of their ratios as n approaches infinity, we can determine the convergence/divergence behavior of the given series.

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The data values that are outliers are 4 and 56.

An outlier is a number that is way smaller or way larger than that of other numbers in a data set. An outlier distorts the mean and median of the dataset.

In this data, 4 is smaller than the average of the data set and 56 is larger than the average numbers. They are the outliers.

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