Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $157,581, what were the sales (in $) last month?

To solve questions 1 and 2, convert your weight of 130 pounds to 58.5 kilograms by multiplying by 0.45. Convert your height of 5'2" to 1.57 meters by converting feet to inches and then to meters using the provided conversion factor.

For question 1, convert your weight from pounds to kilograms by multiplying it by the conversion factor 0.45 kg/lb. In this case, 130 pounds would be equal to 58.5 kilograms (130 * 0.45).

For question 2, convert your height from feet and inches to meters. First, convert your height in feet to inches by multiplying it by 12 (since 1 foot = 12 inches). Then, add the inches to the total. Next, convert the total inches to meters by multiplying it by the conversion factor 0.0254 m/inch.

In this case, 5 feet and 2 inches would be equal to 1.57 meters ((5 * 12 + 2) * 0.0254).

By converting your weight to kilograms and your height to meters, you can now express your weight and height in metric units.

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The type of sampling being used when 5% of the registered voters from each county in a state are drawn at random separately is a stratified sampling.

Stratified sampling is the type of probability sampling that is used when the population being sampled has different groups or strata with varying characteristics. A sample is then drawn from each group to make sure that each stratum or group is represented.The samples can be of equal sizes or can be proportionate to the size of the group. The idea behind stratified sampling is to increase the representativeness of the sample by reducing the variability of the data obtained from the sample.

The advantages of using stratified sampling are that it reduces the variability of the data obtained and ensures that every group or stratum is represented. It also makes it possible to identify any differences between the groups and analyze them independently of the others.In summary, when 5% of the registered voters from each county in a state are drawn at random separately, it is an example of a stratified sampling.

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The most accurate statement is: "A statistic is a random variable whose value depends on a random sample chosen."

A statistic is a calculated value from a sample of data. It is a random variable as its value depends on the selected sample. For example, the sample mean is a statistic whose value depends on the specific value of each observation in the sample.

parameters are fixed values ​​that characterize the population. Usually unknown and estimated using sample data. For example, the population mean is a parameter that can be estimated using sample data.

In summary, a statistic is a value computed from sample data that is used to draw inferences about a population. Parameters are values ​​that characterize a population and are estimated from sample data.

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Answer:

Step-by-step explanation:

A. 1/3

Answer: 18.35%

Step-by-step explanation:

If we denote the probability of hitting a bullseye on a dartboard with radius 12 inches as a function of the size of the bullseye, we can refer to this function as PS.

The function PS represents the probability of hitting the bullseye and is dependent on the size of the bullseye. The larger the bullseye, the higher the probability of hitting it, and vice versa. By adjusting the size of the bullseye, we can determine the corresponding probability of hitting it using the function PS.

It's important to note that without specific information about the relationship between the bullseye size and the probability, it's not possible to provide a specific mathematical expression or further details about the PS function. The function would need to be defined or provided to calculate the probability accurately.

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The odds in favor of the event happening are 5 to 4.

We have,

To find the odds in favor of an event happening, we use the formula:

Odds in favor = Probability of the event happening / Probability of the event not happening

In this case,

The probability of the event happening is 5/9.

The probability of the event not happening is 1 - 5/9, which simplifies to 4/9. So the odds in favor of the event happening are:

Odds in favor

= 5/9 / 4/9

= 5/4

Therefore,

The odds in favor of the event happening are 5 to 4.

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Answer:

47°

Step-by-step explanation:

they are parallel to each other

Answer:

47

Step-by-step explanation:

47 and x are alternate interior angles

Answer:

d. 14 pieces

Step-by-step explanation:

3.5 ÷ 25 = 0.14 = 14

cuz the 0. doesn't have a value

After the EEOC completes its investigation in an employment discrimination case, the outcomes can include resolution attempts, lawsuits, or issuing a Notice of Right to Sue to the complainant.

After the Equal Employment Opportunity Commission (EEOC) completes its investigation in an employment discrimination case, several outcomes are possible:

The EEOC may find reasonable cause to believe that discrimination has occurred. In this case, they may attempt to resolve the matter through informal methods such as mediation or settlement negotiations. If these efforts fail, the EEOC may file a lawsuit against the employer on behalf of the aggrieved individual(s).

If the EEOC does not find reasonable cause, they will issue a Notice of Right to Sue to the individual who filed the complaint. This allows the individual to pursue a lawsuit against the employer independently.

In some cases, the EEOC may determine that further investigation is needed, and they may request additional information or evidence from both the complainant and the employer.

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Answer:

B. Fleur has enough boards but not enough nails. The given solution is not viable.

Step-by-step explanation:

Hope it helps on your assignment.

Answer:

T < E

E < M

M > E

Step-by-step explanation:

Answer:

Does the answer help you?

Answer: y = (1/8)x + 3.625

Step-by-step explanation:

slope: y = mx + b

change from 3 to 4 is 1, this is our rise

change from -5 to 3 is 8, this is our run

1/8 = m

this is a really bad explanation but I know that

1/8 is equal to 0.125.

since there are 5 spaces from (-5,3) to the y axis, and that the slope is 1/8, i can multiply 1/8 x 5 to get 5/8.

5/8 =.625

since the x intercept is in between 3 and 4, it is 3.625.

3.625 = b

Answer:

h = 5 feet

Step-by-step explanation:

V = lwh

40 = 4 x 2 x h

40 = 8h

h = 5

Answer:

3, 11, 32, 35, 38

Step-by-step explanation:

Ascending order means to place in order from smallest to largest.

Hope this helps!

If not, I am sorry.

Step-by-step explanation:

I hope this answer is helpful ):

Answer:the slope of a line it the angle/slope that that line is at

Step-by-step explanation: slope times width

Answer:

Step-by-step explanation:

Hello, please consider the following.

\(h(x)=5/2x+4 \\\\x=(h^{-1}o})(x)=(hoh^{-1})(x)=h(h^{-1}(x))=\dfrac{5}{2h^{-1}(x)+4}\\\\<=> 2h^{-1}(x)+4=\dfrac{5}{x}\\\\<=> h^{-1}=\dfrac{\dfrac{5}{x}-4}{2}\\\\<=>h^{-1}=\dfrac{5-4x}{2x}\)

Thank you.

Answer:

the answer would be 43 degrees.

Step-by-step explanation:

Answer:

Small cube: 4 feet

Large cube: 12 feet

Step-by-step explanation:

So, for the small cube, we know that side x side x side will equal 64, the volume.

4 x 4 x 4 = 64, so 4 is the side length for the small cube.

For the large cube, it is just the small side multiplied by 3.

So, 4 x 3 = 12, the length of the larger cube's side.

side of the small cube be x

Side of larger cube

For starters,

\(\cos(6t+\pi) = \cos(6t) \cos(\pi) - \sin(6t) \sin(\pi) = -\cos(6t)\)

Now by the fundamental theorem of calculus, integrating both sides gives

\(\displaystyle \frac{ds}{dt} = s'(0) + \int_0^t 36 \cos(6u) \, du = 100 + 6 \sin(6t)\)

Integrating again, we get

\(\displaystyle s(t) = s(0) + \int_0^t (100 + 6\sin(6u)) \, du = \boxed{100t - \cos(6t) + 1}\)

Alternatively, you can work with antiderivatives, then find the particular constants of integration later using the initial values.

\(\displaystyle \int \frac{d^2s}{dt^2} \, dt = \int 36\cos(6t) \, dt \implies \frac{ds}{dt} = 6\sin(6t) + C_1\)

\(\displaystyle \int \frac{ds}{dt} \, dt = \int (6\sin(6t) + C_1) \, dt \implies s(t) = -\cos(6t) + C_1t + C_2\)

Now,

\(s(0) = 0 \implies 0 = -1 + C_2 \implies C_2 = 1\)

and

\(s'(0) = 100 \implies 100 = 0 + C_1 \implies C_1 = 100\)

Then the particular solution to the IVP is

\(s(t) = -\cos(6t) + 100t + 1\)

just as before.

Answer:

6.7%

Step-by-step explanation:

cost: 75 cedis

sale price: 80 cedis

amount of profit: 80 cedis - 75 cedis = 5 cedis

Now we find what percent 5 cedis is of 75 cedis.

percent = part/whole * 100%

percent = 5/75 * 100%

percent = 0.06666 * 100%

percent = 6.6666%

percent = 6.7%

Answer:

7/10

Step-by-step explanation:

1/10 = 2/20

1/4 = 5/20

2/5 = 8/20

11/20 = 11/20

We can see that the next term is just 11/20 + 3/20, as 3/20  is added onto each of the next terms.

11/20 + 3/20 = 14/20, which can be simplified to 7/10.

Hope this helps!

The time required to fill 288 liters of water would be 288/6.4 = 45 minutes.Therefore, the time taken by the key to fill 288 liters of water is 45 minutes.

The given data in the problem is that a key delivers 32 liters of water in 5 minutes. We are required to calculate how much time it will take to fill 288 liters of water.So, let's proceed with the solution,Step 1: We need to find out how many liters of water is filled in one minute. We can use the unitary method to solve the problem. We know that 32 liters of water is filled in 5 minutes. Hence, in one minute, the amount of water filled would be32/5 = 6.4 litersStep 2: Now, we need to find the time required to fill 288 liters of water. Again, we can use the unitary method. We have found out that the amount of water filled in one minute is 6.4 liters. Therefore, the time required to fill 288 liters of water would be 288/6.4 = 45 minutes.Therefore, the time taken by the key to fill 288 liters of water is 45 minutes.

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Answer:

120x + 45y ≥ 2,500

The height of the right cone is \(7 \ units\).

To find the height of the right cone, we can use the formula for the volume of a cone:

Volume = \(\frac{1}{3} \times \pi \times r^{2} \times h\)

where \(\pi\) is the mathematical constant pi (approximately \(3.14159\)), r is the radius of the base of the cone, and h is the height of the cone.

Given that the volume is \(21 \ \pi\) units and the diameter is \(6\) units, we can find the radius:

Radius (r) =

\(\frac{diameter}{2} \\= \frac{6}{2} \\= 3\)

Substituting the known values into the formula, we have:

\(21 \pi = \frac{1}{3} \times \pi \times 3^{2} \times h\)

Simplifying the equation:

\(21 = (\frac{1}{3}) \times 9 \times h\)

Multiplying both sides by \(3\):

\(63 = 9h\)

Dividing both sides by \(9\\\):

\(h = \frac{63}{9} \\ = 7 units\)

Therefore, the height of the right cone is \(7 \ units\).

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Answer:

Step-by-step explanation:

a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.

Total surface area = 2πrh + 2πr²

Skateboarders use a half pipe structure which are not closed at the ends.

Therefore, curved surface of the half pipe = \(\frac{2\pi rh}{2}\)

                                                                      = πrh

b). If r = 2.5 m and h = 9 m,

Curved surface area of the half pipe = π(2.5)(9)

                                                             = 70.69 m²

                                                              ≈ 71 m²

The area of the walkway is 24π square meters.

To find the area of the walkway, we need to subtract the area of the inner circle from the area of the outer circle.

The inner circle has a radius of 5 meters, so its area can be calculated using the formula for the area of a circle: A_inner = π * \((r_inner)^{2}\).

A_inner = π * \(5^{2}\) = 25π square meters.

The outer circle has a radius equal to the sum of the inner radius and the width of the walkway. In this case, the outer radius is 5 + 2 = 7 meters.

The area of the outer circle can be calculated in the same way: A_outer = π * \((r_outer)^{2}\).

A_outer = π * \(7^{2}\) = 49π square meters.

Now, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: A_walkway = A_outer - A_inner.

A_walkway = 49π - 25π = 24π square meters.

The area of the walkway is 24π square meters, where π (pi) is a mathematical constant approximately equal to 3.14159.

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Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation: