Please help ASAP if you know how. Thanks so much

Answer:

I am pretty sure the answer would be $107.31. Sorry if I'm wrong.

Step-by-step explanation:

First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.

45.99 / 3 = 15.33

15.33 x 7 = 107.31

Complete Question

A 95% confidence interval of 19.3 months to 47.5 months has been found for the mean duration of? imprisonment, ??,of political prisoners of a certain country with chronic PTSD.

a. Determine the margin of error, E.

b. Explain the meaning of E in this context in terms of the accuracy of the estimate.

c. Find the sample size required to have a margin of error of 13 months and a 99% confidence level.? (Use 38 months. for standard deviation )

d. Find a 99% confidence interval for the mean duration of? imprisonment, ??, if a sample of the size determined in part? (c) has a mean of 36.5 months.

Answer:

a

 \(E =  14.1 \)

b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

c

  \(n  =57 \)

d

   \( 23.514 < \mu < 49.486\)

Step-by-step explanation:

Considering question a

From the question we are told that

   The upper limit is  U =   47.5 months

    The lower limit is   L = 19.3 months

Generally the margin of error is mathematically represented as

       \(E = \frac{U - L }{2}\)

 =>  \(E = \frac{ 47.5 - 19.3 }{2}\)

 =>  \(E = 14.1 \)

Considering question b

In this context  E tell us that the true mean will lie within E = 14.1 of the sample mean

Considering question c

Generally the sample size is mathematically represented  as

        \(n = [ \frac{ Z_{\frac{\alpha }{2} * \sigma }}{ E} ]^2\)

Here  E is given as  E = 13

Given that the confidence level is  99% then the level of significance is  

      \(\alpha = (100 - 99 )\%\)

=>   \(\alpha = 0.01 \)

From the normal distribution table  the critical value  of  \(\frac{\alpha }{2}\)  is  

      \(Z_{\frac{\alpha }{2} } = Z_{\frac{0.01 }{2} } = 2.58\)

So

    \( n = [ \frac{2.58 *  38}{13}]^2\)

=>    \(n =57 \)

Considering question d

From the question

   The sample mean is   \(\= x = 36.5\)

Generally the margin of error is mathematically represented as  

         \(E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{n}\)

=>      \(E = 2.58 * \frac{38 }{57}\)

=>      \(E = 12.986 \)    

Generally the 99% confidence interval  for  mean distribution is  mathematically represented as

    \( 36.5 - 12.986 < \mu < 36.5 + 12.986\)

=>     \( 23.514 < \mu < 49.486\)

Answer:

0*3=0

1*3=3

2*3=6

3*3=9

Step-by-step explanation:

A.

\(y=\sin(x^2+3x-1)\)

\(\implies y'=\cos(x^2+3x-1)(x^2+3x-1)'=(2x+3)\cos(x^2+3x-1)\)

B.

\(y=x^3+\sin x\)

\(\implies y'=3x^2+\cos x\)

\(\implies y''=6x-\sin x\)

\(\implies y'''=6-\cos x\)

C.

\(y=\left(x+\dfrac1x\right)^2\)

\(\implies y'=2\left(x+\dfrac1x\right)\left(x+\dfrac1x\right)'=2\left(x+\dfrac1x\right)\left(1-\dfrac1{x^2}\right)=2\left(x-\dfrac1{x^3}\right)\)

D.

\(y=(5x-2)^{-2}\)

\(\implies y'=-2(5x-2)^{-3}(5x-2)'=-10(5x-2)^{-3}=\dfrac{10}{(2-5x)^3}\)

Answer:

omg what interesting i will see what i will come up with

Answer:Her friend is right Danielle needs to work for 5 hours

Step-by-step explanation:

hope this help

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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Answer:

Quantity = 5 grapes

Step-by-step explanation:

Given the following data;

Quantity of grapes = 20

Cost = 48

To find the cost of each grape;

Cost of each grape = total cost/quantity

Cost of each grape = 48/20

Cost of each grape = $2.4

Now, to find how many grapes $12 can buy;

Quantity = total cost/cost of each grapes

Quantity = 12/2.4

Quantity = 5 grapes

Therefore, $12 can buy 5 grapes.

Answer:

  b.  3 = 3/1

  c.  -4 = -4/1

Step-by-step explanation:

An integer can be written as a rational number with a denominator of 1. The denominator can be anything else, too, in which case the numerator must be multiplied by that same value.

__

b. 3 = 3/1 = 6/2 = 27/9

__

c. -4 = -4/1 = 8/-2 = -12/3

\(log_{4}(2) + log_{4}(3)+ log_{4}(5+2x)\) is the completely expanded logarithmic expression .

Logarithm, an exponent or power that must be raised to obtain a particular number. Mathematically, if bx = n then x = logb n then x is the logarithm of n to  base b. Example: 23 = 8; so 3 is the base 2 logarithm of 8, or 3 = log2 8.

The most common types of logarithms are  the base 10 common logarithm, the base 2 binary logarithm, and  the base  e ≈ 2.71828 natural logarithm.

the product rule for logarithms is

\(log_{b}(MN) = log_{b}(M) + log_{b}(N)\)  for b > 0

now ,

\(log_{4}(6(5 + 2x)) \\\\log_{4}(6) + log_{4}(5 + 2x)\\ \\ log_{4}(2.3) + log_{4}(5 + 2x) \\\\ log_{4}(2) + log_{4}(3)+ log_{4}(5 +2x)\)

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Answer:

Step-by-step explanation:

Three customers have accounts owing money. The table shows the account balances.

Which customer owes the least amount of money?

Customer Balance

M. Palmer –$56.72

B. Leftwich –$74.19

R. Jordan –$54.31

does anybody know

Answer:

Step-by-step explanation: m=s-c/c

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer: 9.2

Explanation: The value of the square root of 85 lies between the whole numbers 9 and 10.

The margin of error for 16 eggs with sample means 2 ounce and standard deviation as 42 ounces is   18.407   .

In the question ,

it is given that ,

the number of eggs = 16

the sample means weight is = 2 ounce .

the standard deviation is = 42 ounces .

we have to find the margin of error .

degree of freedom is 16 - 1 = 15 .

and the t score for the 90% confidence interval is

t₁₅,₀.₀₅ = 1.753

So , the margin of error is =  t₁₅,₀.₀₅×(standard deviation/√n)

Substituting the values ,

we get ,

= 1.753×(42/√16)

On simplifying further ,

we get ,

= 18.407

Therefore , the margin of error is = 18.407 .

The given question is incomplete , the complete question is

A sample of 16 eggs yields a sample mean weight of 2.00 ounces and a sample standard deviation = 42.0 ounces, find the margin of error in estimating a confidence interval estimate at the 90% level of confidence. Round your answer to three decimal places. You may assume that egg weights are normally distributed .

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We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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Option (C) is correct i.e., To determine the ratio of AB to DE and use SAS to conclude the triangle(s) are similar

A triangle is a polygon that has three(3) edges and three(3) vertices. It is one of the fundamental forms in geometry. Triangle DEF refers to a triangle with vertices D, E, and F. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.

Triangle ABC and Triangle DEF are similar if one of this property satisfy are , AAA, SAS, ASA and RHS.

It is Given that ∠B and ∠E are Similar and She determine ratio of BC to EF is 3/5.

Therefore, for similarity of two triangle she have to To determine the ratio of AB to DE and use SAS to conclude the triangles are similar.

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Complete Question:

When trying to determine whether triangles ABC and DEF are similar, Mae notices in the image that angles B and E are congruent. Next, she determines the ratio of BC to EF and obtains 3/5. What else does she need to do?

A. To determine the ratio of DE to AB and use SSS to conclude the triangles are similar

B. To determine the ratio of AB to DE and conclude the triangles are not similar

C. To determine the ratio of AB to DE and use SAS to conclude the triangles are similar

D. To determine the ratio of DE to AB and use AA to conclude the triangles are not similar.

Option (C) is correct i.e., To determine the ratio of AB to DE and use SAS to conclude the triangle(s) are similar

A triangle is a polygon that has three(3) edges and three(3) vertices. It is one of the fundamental forms in geometry. Triangle DEF refers to a triangle with vertices D, E, and F. In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time.

Triangle ABC and Triangle DEF are similar if one of this property satisfy are , AAA, SAS, ASA and RHS.

It is Given that ∠B and ∠E are Similar and She determine ratio of BC to EF is 3/5.

Therefore, for similarity of two triangle she have to To determine the ratio of AB to DE and use SAS to conclude the triangles are similar.

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Complete Question:

When trying to determine whether triangles ABC and DEF are similar, Mae notices in the image that angles B and E are congruent. Next, she determines the ratio of BC to EF and obtains 3/5. What else does she need to do?

A. To determine the ratio of DE to AB and use SSS to conclude the triangles are similar

B. To determine the ratio of AB to DE and conclude the triangles are not similar

C. To determine the ratio of AB to DE and use SAS to conclude the triangles are similar

D. To determine the ratio of DE to AB and use AA to conclude the triangles are not similar.

The equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

First, let us understand the slope intercept form of a line:

The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept.

We are given:

(0, −3), m = 12.

We need to determine the graph of the line with the given y-intercept and slope.

To find the value of b;

substitute the given values in the equation of the line, we will get;

y = mx + b

-3 = 12 *0  + b

b = -3

So, the equation of the line will be:

y = 12x -3

Thus, the equation of the line will be y = 12x -3 and the graph of the line with the given y-intercept and slope is shown below.

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a) The coefficient of variation (CV) for Brand A, is equals to the 2.8%.

b) The coefficient of variation (CV) for Brand B, is equals to the 2.0%.

c) Brand B, is more consistently produces tablets as advertised.

We have comparing data of consumer groups of vitamin C tablets of two brands. Tablets for each group were selected randomly. Data from above table, For brand A :

Tablets contains the quantity of vitamin C = 500 mg

Sample mean = 250

Standard deviation = 7

For brand B :

Tablets contains the quantity of vitamin C = 250 mg

Sample mean = 500

Standard deviations = 10

Cofficient of variation, CV is statistical parameter and it is the ratio of the standard deviation to the mean. Formula is, Coefficient of Variation (CV)

= (Standard Deviation/Mean) × 100.

a) To calculate the coefficient of variation (CV) for Brand A = (7/250 )×100

= 2.8%

b) To calculate the coefficient of variation (CV) for Brand B = (10/500 )×100

= 2.0%

c) As we see, Cofficient of variation of advertising for brand B is less than brand A. So, Brand B more consistently produces tablets as advertised.

Hence, required brand is brand B.

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Complete question:

consumer interest group is comparing two brands of vitamin C. One group advertises that its tablets contain 500 mg of vitamin C. The other advertises that its tablets contain 250 mg of vitamin C. Tablets for each group were selected randomly. The table above shows the results.Vitamin C Content (mg) Brand A (500 mg) x = 250s = 500Brand B (250 mg) x = 500s = 10

a) Calculate the coefficient of variation (CV) for Brand A (1point)

b) Calculate the coefficient of variation (CV) for Brand B (1 point)

c) Which brand more consistently produces tablets as advertised? (2 points) d) Explain your answer to c) above. (1 point)

Answer: 1.5/2 and backwards-1.5/-2

Step-by-step explanation: rise over run

\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Concept \: \: Using}}}}}\end{gathered}}\)

The angle sum property of a triangle:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

\( \underline {\mathcal {{{\color{orange}{\bf \large \rightarrow \: \angle \: 1 \: + \: \angle \: 2 \: + \: \angle \: 3 \: = \: 180 \degree}}}}} \)

\({\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Solution}}}}}\end{gathered}}\)

.

\(\bf \large\longrightarrow \: \: 50 \degree \: + \: 70 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \:120 \degree \: + \: x \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 60 \degree \: + \: 60 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: + \: 120 \degree \: = \: 180 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree\)

\(\bf \large\longrightarrow \: \: x \: = \: 60\degree\)

\(\theta = 0.1278\:\text{rad}\)

Step-by-step explanation:

The arc length S is related to the angle subtended by the is relation:

\(S = r\theta\)

where r is radius of the circular orbit. In this case the radius is

\(r = 3960\:\text{mi} + 500\:\text{mi} = 4460\:\text{mi}\)

and S = 570 mi so the angle \(\theta\) is

\(\theta = \dfrac{S}{r} = \dfrac{570\:\text{mi}}{4460\:\text{mi}}\)

\(\:\:\:\:\:= 0.1278\:\text{rad}\)

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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Answer:

original price is 48 dollars which is 100% cost. we know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.

Step-by-step explanation:

Cramer's rule states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix, which in this case is 4, and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This allows us to solve for the variable y.

Cramer's Rule is a method used to solve systems of linear equations. It states that the solution to a system of equations can be determined by taking the determinant of the coefficient matrix and then dividing each equation's determinant of the corresponding matrix by the determinant of the coefficient matrix. This gives us the solution for the variable y. To calculate the determinant of the coefficient matrix, we take the product of the diagonal elements and subtract the product of the elements that are not on the diagonal The determinant is calculated by taking the product of a and d, and then subtracting the product of b and c. Once we have the determinant of the coefficient matrix, we can calculate the determinants of each equation's corresponding matrix by replacing the y in the equation with 1 and the other coefficients with the original coefficients of the equation. We then divide each equation's determinant by the determinant of the coefficient matrix to solve for y. This method is useful as it allows us to solve a system of equations with multiple variables in a quick and efficient manner.

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The value of x is; x = 3.14

Here, we have,

from the given diagram, we get,

there is a right angle triangle.

we have to find the value of x.

we know that,

Let the angle be θ , such that

cos θ = base / hypotenuse

here, we get,

cos 17 = 3/x

so, we have,

0.956 = 3/x

so, x = 3.14

Hence, The value of x is;x = 3.14

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Answer:

22.41 hours

Step-by-step explanation:

Set up a proportion where x is the time to fly 174798 miles

\(\frac{118404}{15.18}\) = \(\frac{174798}{x}\)

Cross multiply and solve for x:

118404x = 2653433.64

x = 22.41

So, it would take 22.41 hours to fly 174798 miles

Answer:

The answer is 4 because the 2 over 3 is canceled out

Answer:

quotient = 7

Step-by-step explanation:

We are asked to evaluate the following expression:

\(4\frac{2}{3} \div \frac{2}{3}\)

• To solve this we can first convert the mixed number \(4\frac{2}{3}\)  into an improper fraction:

\(4\frac{2}{3}\)  ⇒  \(\frac{14}{3}\)

• Next, we know that dividing by a fraction is the same as multiplying by its reciprocal (the reciprocal of a fraction is what is you get by swapping the numerator and denominator):

reciprocal of \(\frac{2}{3}\) = \(\frac{3}{2}\).

• Therefore, the expression now becomes:

\(4\frac{2}{3} \div \frac{2}{3}\)

⇒ \(\frac {14}{3} \div \frac {2}{3}\)

⇒  \(\frac {14}{3} \times \frac {3}{2}\)

⇒ 7