the music department of a department store sold 12 just CDs last month jazz sells during the month we have 2% of the music departments total sales suppose that the store sells 14 sets jazz CDs during the next month and the percent of the sales from the jazz CDs is still 2% what is the total number of the CDs that the store will sell

The researcher can use certain formulas for finding confidence intervals and hypothesis testing in this scenario.

For confidence intervals, the formula for the mean difference would be used, which is the average of the weight changes in the sample.

This formula calculates the range within which the true population mean difference is likely to fall.

To conduct hypothesis testing, the researcher can use the formula for the t-test for a single sample.

This test compares the mean difference observed in the sample to a hypothesized value and determines whether there is enough evidence to support or reject the hypothesis.

To check the assumptions necessary for this test, the researcher would need additional information. The assumptions typically include:

1. Random sampling: It is important to ensure that the subjects were randomly selected from the population to generalize the results.

2. Normality: The weight changes should follow a normal distribution within the population.

The researcher would need to assess the normality assumption, such as by examining the distribution of weight changes or using statistical tests like the Shapiro-Wilk test.

3. Independence: The weight changes of one subject should not be influenced by the weight changes of another subject.

This assumption can be violated if the subjects are related or if there are repeated measurements on the same subjects.

By checking these assumptions and using the appropriate formulas, the researcher can make confidence intervals and perform hypothesis testing to draw conclusions about the effects of the drug on weight loss in the population.

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The function f(x) = -(x - 7)(x + 3)(x - 2) can be analyzed to determine its end behavior, X- and Y-intercepts, and then sketched accordingly. The end behavior shows that as x approaches positive or negative infinity, the function approaches negative infinity.

a) The end behavior of the function can be determined by looking at the leading term, which is -(x - 7)(x + 3)(x - 2). Since the leading term has a negative sign, the function approaches negative infinity as x approaches positive or negative infinity.

b) To find the X-intercepts, we set each factor equal to zero and solve for x:

(x - 7) = 0 => x = 7

(x + 3) = 0 => x = -3

(x - 2) = 0 => x = 2

So, the X-intercepts are x = 7, x = -3, and x = 2.

To find the Y-intercept, we evaluate f(0):

f(0) = -(0 - 7)(0 + 3)(0 - 2) = -(7)(3)(-2) = -42

Thus, the Y-intercept is at (0, -42).

c) With the X- and Y-intercepts determined, we can sketch the function on a graph. Starting from the Y-intercept (0, -42), we know the function decreases as x approaches negative infinity, reaches a local maximum at x = -3, decreases again, reaches a local minimum at x = 2, and then increases as x approaches positive infinity.

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Answer:

a) 5

b) 30

c) 40

Step-by-step explanation:

(no entiendo mucho espanol pero voy a ayudar...)

a) hay 10 que haces los dos, 30 que solo estudien, y 40 que solo trabajan. Con eso, 80-10-30-40 = 5, y asi tienes 5 personas que no estudian y no trabajan

b) las personas que estudian son 40, y 10 trabajan tambien, asi solo tienes 30 personas que unicamente se dedican a estudiar.

c) las personas que trabajan son 50, y 10 estudian tambien, asi solo tienes 40 personas que unicamente se dedican a estudiar.

Answer:

Step-by-step explanation:

hypotenuse is double the shorter length.

hypotenuse=2×7=14 in

Answer:h

Step-by-step explanation:

Answer:

This graph does represent a function because when you do the vertical line test, none of the x-values intercept more than once.

Step-by-step explanation:

Hope this helps!

Answer:

since the decay rate constant of0.0 250 min.

hence the time required for the sample to decay to one forth of it's initial value is

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

If there are 5 orange beads, and 3 purple beads, that means there is 8 beads that aren't pink in the bag.

If the rest are pink, and it's 3/5, that means 8 is 2/5. Divide by 2, and 4 is 1/5.

We can conclude that there are 12 pink beads, which is 3/5 of the total beads, by adding 2/5 and 1/5 (8 and 4)

The remaining 2/5 are the orange and purple beads.

Answer:

d

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

x + 2 * x + 5

x * x = x2

x * 5 = 5x

2 * x = 2x

2 * 5 = 10

x2 + 7x + 10

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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The sizes of angles x and y in the trapezium are:

x = 135°

y = 29°

A trapezium is a quadrilateral having two parallel sides and two non-parallel sides.

Since the sum of angle pairs between parallel line of the trapezium is 180°. Thus, we can say:

x + 45° = 180°

x = 180 - 45

x = 135°

Also:

y + 152° = 180°

y = 180 - 152

y = 29°

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Complete Question

Check attached image

Solution:

Note that:

Looking at the notes, we can conclude that ∠K measures 150° because of the equation (∠L = ∠K).

Hoped this helped!

Alternative angles have sum 180°

\(\\ \rm\hookrightarrow 150+x=180\)

\(\\ \rm\hookrightarrow x=180-150\)

\(\\ \rm\hookrightarrow x=30\)

Answer:

.p^2+b^2=h^2

.144+b^2=225

.b^2=81

. therefore b=9

again. to

volume =1/3πr^2

=1/3×22/7×81

=567/21

=27ft^2

The first derivative of the function `g(u) = u(2u - 3)^3` is `g'(u) = 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u) = 12(u - 1)(2u - 3)^2`.

Given function: `g(u)

= u(2u - 3)^3`

To find the first derivative of the given function, we use the product rule of differentiation.`g(u)

= u(2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g'(u)

= u * d/dx[(2u - 3)^3] + (2u - 3)^3 * d/dx[u]`

Using the chain rule of differentiation, we have:

`g'(u)

= u * 3(2u - 3)^2 * 2 + (2u - 3)^3 * 1`

Simplifying:

`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

To find the second derivative, we differentiate the obtained expression for

`g'(u)`:`g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`

Differentiating both sides with respect to u, we get:

`g''(u)

= d/dx[6u(2u - 3)^2] + d/dx[(2u - 3)^3]`

Using the product rule and chain rule of differentiation, we have:

`g''(u)

= 6[(2u - 3)^2] + 12u(2u - 3)(2) + 3[(2u - 3)^2]`

Simplifying:

`g''(u)

= 12(u - 1)(2u - 3)^2`.

The first derivative of the function `g(u)

= u(2u - 3)^3` is `g'(u)

= 6u(2u - 3)^2 + (2u - 3)^3`. The second derivative of the function is `g''(u)

= 12(u - 1)(2u - 3)^2`.

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The first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

First, let's find the first derivative:

g'(u) = (2u - 3)³ * d(u)/du + u * d/dx[(2u - 3)³]

Using the chain rule, we can differentiate (2u - 3)³ and u as follows:

d(u)/du = 1

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

Plugging these values back into the equation for g'(u), we have:

g'(u) = (2u - 3)² + u * 3(2u - 3)² * 2

= (2u - 3)³ + 6u(2u - 3)²

Simplifying the expression, we have:

g'(u) = (2u - 3)³ + 6u(2u - 3)²

Now, let's find the second derivative:

g''(u) = d/dx[(2u - 3)³ + 6u(2u - 3)²]

Using the chain rule and product rule, we can differentiate each term:

d/dx[(2u - 3)³] = 3(2u - 3)² * d(2u - 3)/du

= 3(2u - 3)² * 2

d/dx[6u(2u - 3)²] = 6(2u - 3)² + 6u * d/dx[(2u - 3)²]

= 6(2u - 3)² + 6u * 2(2u - 3)

Plugging these values back into the equation for g''(u), we have:

g''(u) = 3(2u - 3)² * 2 + 6(2u - 3)² + 6u * 2(2u - 3)

= 6(2u - 3)² + 6(2u - 3)² + 12u(2u - 3)

= 12(2u - 3)² + 12u(2u - 3)

Simplifying the expression further, we have:

g''(u) = 12(2u - 3)² + 12u(2u - 3)

Therefore, the first derivative of g(u) is g'(u) = (2u - 3)³ + 6u(2u - 3)², and the second derivative is g''(u) = 12(2u - 3)² + 12u(2u - 3).

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The critical value of t for testing the significance of each of the independent variable's coefficients will have 130 degrees of freedom.

This is because the degrees of freedom for a t-test in a regression model with 5 independent variables and 136 observations is calculated as (n - k - 1) where n is the number of observations and k is the number of independent variables.

Therefore, (136 - 5 - 1) = 130 degrees of freedom.

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Answer:

0.75

Step-by-step explanation:

You can do easy math:

6/8 = 0.75

Hope it helps. Brainliest?

The quadratic function with real coefficients and the given zeros of 5 and 4i is: f(x) = x^3 - 5x^2 + 16x - 80.

A quadratic function with real coefficients and the given zeros of 5 and 4i is:

f(x) = (x - 5)(x - 4i)(x + 4i)

Expanding this expression, we get:

f(x) = (x - 5)(x^2 - (4i)^2)

f(x) = (x - 5)(x^2 + 16)

f(x) = x^3 - 5x^2 + 16x - 80

Therefore, the quadratic function with real coefficients and the given zeros of 5 and 4i is:

f(x) = x^3 - 5x^2 + 16x - 80.
Hi! To write a quadratic function with real coefficients and the given zero 5 + 4i, you should also consider its complex conjugate, which is 5 - 4i. This is because complex roots of a quadratic equation with real coefficients always occur in conjugate pairs.

Let x = 5 + 4i and x = 5 - 4i be the zeros of the quadratic function. Using the factored form of a quadratic function, we can write it as:

f(x) = A(x - (5 + 4i))(x - (5 - 4i))

Now, expand the expression inside the parentheses:

f(x) = A((x - 5) - 4i)((x - 5) + 4i)

Multiply the two binomials using the difference of squares formula:

f(x) = A((x - 5)^2 - (4i)^2)

Simplify:

f(x) = A(x^2 - 10x + 25 + 16)

Combine the constant terms:

f(x) = A(x^2 - 10x + 41)

Since we want a quadratic function with real coefficients, A can be any real number. We can choose A = 1 to simplify the expression:

f(x) = x^2 - 10x + 41

So the quadratic function is f(x) = x^2 - 10x + 41.

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Answer: A viable point on the graph is ✔ (8, 3,200).

The values of w must be✔ any whole number.

Answer:

A viable point on the graph is

✔ (8, 3,200)

.

The values of w must be

✔ any whole number

.Step-by-step explanation:

I did it on Edge and got it right

The equation x" = 1 represents a second-order differential equation, where the solutions in C (the complex numbers) are denoted as x. To show that they form a multiplicative group, we need to demonstrate closure, associativity, identity, and inverses.

Closure: Given any two solutions x and y of x" = 1, their product xy is also a solution of the equation.

Associativity: The multiplication of complex numbers is associative, so the product of three solutions x, y, and z will be the same regardless of the grouping.

Identity: The identity element is 1, which corresponds to the constant solution of the equation x" = 1.

Inverses: For every solution x, there exists an inverse solution y such that xy =  This can be shown by solving the differential equation for x' and integrating twice to find the inverse solution.

Therefore, the solutions of the equation x" = 1 in C form a multiplicative group.

Given fi, a, b, c, and e, if a * b * c = e, we need to show that b * c * a = e.

Using the commutativity of multiplication in a group, we can rearrange the expression as b * (a * c) = e.

Now, we can use the associativity property of a group to rewrite it as (b * a) * c = e.

Finally, using the existence of inverses, we can multiply both sides by the inverse of (b * a) to obtain the equation c = (b * a)^-1.

Since e is the identity element of the group, (b * a)^-1 is the inverse of (b * a), and the equation simplifies to c = (b * a)^-1 = e.

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Answer:

A function is a relation where each input value is assigned to only one output value. The domain of a function is the set of all input values, or x-values, for which the function is defined. The range of a function is the set of all output values, or y-values, for which the function is defined. To write the equation y = ax + b in function notation, substitute f(x) for y.

Step-by-step explanation:

Brainlest, Please!

The value of x is 3 and solution is extraneous

Here, we have,

Solving equations

Given the equation below;

√8x+1 = 5

Square both sides to have;

8x+1 = 5^2

8x + 1 = 25

Subtract 1 from both sides

8x + 1 = 25 -1

8x = 24

x = 24/8

x = 3

Hence the value of x is 3

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a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer:

a= 0.5

Step-by-step explanation:

The probability that a standard normal random variable, Z, is between -1.65 and 1.82 can be found by subtracting the cumulative probability at -1.65 from the cumulative probability at 1.82.

To find the cumulative probability, you can use a standard normal distribution table or a calculator. The cumulative probability at -1.65 is 0.0495, and the cumulative probability at 1.82 is 0.9656.

So, the probability that Z is between -1.65 and 1.82 is 0.9656 - 0.0495 = 0.9161.

In other words, the probability of Z being between -1.65 and 1.82 is approximately 0.9161.

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Answer:

13

Step-by-step explanation:

because 3+9=12+1=13

The statement that shows equivalent measurements is "52 meters = 520 decimeters." Option C.

To determine the equivalent measurements, we need to understand the relationship between different metric units.

In the metric system, each unit is related to others by factors of 10, where prefixes indicate the magnitude. For example, "deci-" represents one-tenth (1/10), "centi-" represents one-hundredth (1/100), and "kilo-" represents one thousand (1,000).

Let's analyze each statement:

5.2 meters = 0.52 centimeters: This statement is incorrect. One meter is equal to 100 centimeters, so 5.2 meters would be equal to 520 centimeters, not 0.52 centimeters.

5.2 meters = 52 decameters: This statement is incorrect. "Deca-" represents ten, so 52 decameters would be equal to 520 meters, not 5.2 meters.

52 meters = 520 decimeters: This statement is correct. "Deci-" represents one-tenth, so 520 decimeters is equal to 52 meters.

5.2 meters = 5,200 kilometers: This statement is incorrect. "Kilo-" represents one thousand, so 5.2 kilometers would be equal to 5,200 meters, not 5.2 meters.

Based on the analysis, the statement "52 meters = 520 decimeters" shows equivalent measurements. So Option C is correct.

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Note the correct and the complete question is

Select the statement that shows equivalent measurements.

A.) 5.2 meters = 0.52 centimeters

B.) 5.2 meters = 52 decameters

C.) 52 meters = 520 decimeters

D.) 5.2 meters = 5,200 kilometers

Answer:

\(-2\sqrt{3} +2\sqrt{15}\)

Step-by-step explanation:

When we simplify this equation, we have to multiply the numbers outside the parenthesis with the the numbers inside the parenthesis. In this equation, we have to multiply \(\sqrt{12}\) by \(-1\) , getting the answer of \(-\sqrt{12}\), which can be further simplified into \(-2\sqrt{3}\). Next, looking at \(\sqrt{12}\) × \(\sqrt{5}\), we get \(\sqrt{60}\), which can also be simplified further into \(2\sqrt{15}\). Now, adding up these two numbers get \(-2\sqrt{3} +2\sqrt{15}\).

A box of chocolate on sale for 20% means that 80% of its original value remain.

Therefore, the sale price of the box of chocolate = $12 x 80% = $9.6

The sales price of box of chocolates is 9.6 dollars.

Given that, a $12 box of chocolate on sale for 20% off.

A sale price is the discounted price at which goods or services are being sold.

Here, sales price = Original price - 20% of Original price

= 12 - 20% of 12

= 12 - 20/100 ×12

= 12 - 0.2×12

= 12 - 2.4

= $9.6

Therefore, the sales price of box of chocolates is 9.6 dollars.

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