An instrument vendor wants to sell new violin
bows and guitar picks. The vendor has
7 boxes of bows holding 45 bows in each
box. Boxes of picks contain 15 packages
with 60 picks in each package. If the vendor
wants to equally distribute all the bows and
picks to 5 local stores, how many of each
item will the stores receive?

The experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To find the experimental probability of landing on A or C, we need to add up the number of times the spinner landed on A and C, and then divide that by the total number of spins.

From the table, we can see that the spinner landed on A 30 times and on C 40 times. Therefore, the total number of times the spinner landed on either A or C is:

30 + 40 = 70

So the experimental probability of landing on A or C is:

70/100 = 0.7

However, we need to find the experimental probability of landing on A or C separately. To do that, we need to divide the number of times the spinner landed on A or C individually by the total number of spins:

Experimental probability of landing on A = 30/100 = 0.3

Experimental probability of landing on C = 40/100 = 0.4

Therefore, the experimental probability of landing on A is 0.3 and the experimental probability of landing on C is 0.4.

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13π/12 radians

1) We can convert this from degrees to radians following this formula, since 1º

2) So, we can plug into that the given measure in degrees:

Note that we rounded off to the nearest hundredth the value of pi.

3) Hence, the answer is approximately 3.40 radians or exactly 13/12

π

Answer: The expression that represents the amount of money John has collected is:

5 * m

This expression calculates the amount of money John collects by multiplying the number of members (m) by the amount of money collected per member ($5).

Step-by-step explanation:

Answer:

B, 13.5

Step-by-step explanation:

Formula used is SA=4s^2

726= 4s^2

181.5= s^2

13.47=s

13.5~ s

Answer:

3. 50.27 inches squared

4. 113.1 km squared

Step-by-step explanation:

3. A=πr^2

π*16

4. A=πr^2

π*36

Have a good day :)

Answer:

1)50.3

2) 113

Step-by-step explanation:

I hope this helps!

The upper control limit of the three-sigma process is approximately 3.807 defective units per sample.

To calculate the upper control limit (UCL) of the three-sigma (z) process, we first need to find the average number of defective units per sample and the standard deviation.
1. Calculate the average number of defective units per sample (p-bar):

Divide the total number of defective units (150) by the number of samples (40).
p-bar = 150 / 40 = 3.75 defective units per sample
2. Calculate the proportion of defective units (p) in each sample:

Divide the average number of defective units (3.75) by the sample size (100).
p = 3.75 / 100 = 0.0375
3. Calculate the standard deviation (σ) of the process using the formula:

σ = √(p * (1 - p) / n),

where n is the sample size.
σ = √(0.0375 * (1 - 0.0375) / 100)

= √(0.03609375 / 100) ≈ 0.0190
4. Calculate the three-sigma upper control limit (UCL) using the formula:

UCL = p-bar + 3 * σ
UCL = 3.75 + 3 * 0.0190 ≈ 3.75 + 0.057 ≈ 3.807.

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Answer:

2/5 bucket

Step-by-step explanation:

1/2 and 3/4 are equal. So 2/5 is wrong.

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According to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

According to the liquidity preference hypothesis, the interest rate for a long-term investment is expected to be equal to the average short-term interest rate over the investment period. In this case, the expected forward rate for the third year is stated as 4.28%.

To calculate the expected forward rate for the third year, we first need to calculate the prices of zero-coupon bonds for each year. Let's start by calculating the price of a four-year zero-coupon bond, which is determined to be $731.74.

The rate of return on a four-year zero-coupon bond is then calculated as follows:

Rate of return = (1000 - 731.74) / 731.74 = 0.3661 = 36.61%.

Next, we use the yield of the four-year zero-coupon bond to calculate the price of a three-year zero-coupon bond, which is found to be $526.64.

The expected rate in the third year can be calculated using the formula:

Expected forward rate for year 3 = (Price of 1-year bond) / (Price of 2-year bond) - 1

By substituting the values, we find:

Expected forward rate for year 3 = ($959.63 / $865.20) - 1 = 0.1088 or 10.88%

If ∆ (delta) is 1%, we can calculate the expected forward rate in the third year as follows:

Expected forward rate for year 3 = (1 + 0.1088) × (1 + 0.01) - 1 = 0.1218 or 12.18%

Therefore, according to the liquidity preference hypothesis, the expected forward rate in the third year, when ∆ is 1%, is 12.18%.

Additionally, the yield to maturity on a three-year zero-coupon bond can be calculated using the formula:

Yield to maturity = (1000 / Price of bond)^(1/n) - 1

Substituting the values, we find:

Yield to maturity = (1000 / $526.64)^(1/3) - 1 = 0.1035 or 10.35%

Hence, the yield to maturity on a three-year zero-coupon bond is 10.35%.

In conclusion, according to the liquidity preference hypothesis, the expected forward rate in the third year when ∆ is 1% is 12.18%, and the yield to maturity on a three-year zero-coupon bond is 10.35%.

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Answer:

\( = - 3\)

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I have follow me

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x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

\( \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } \)

Solving for x

\(x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m\)

Answer:

\(V=4480\pi \text{ units}^3\)

Step-by-step explanation:

Rewrite the region in terms of x

\(\displaystyle x=\frac{y}{6},\,x=y,\,y=24\)

Identify inner and outer radii

The inner radius is \(\displaystyle r=\frac{y}{6}\) and the outer radius is \(R=y\) because as \(y\) goes from 0 to 24, \(x\) goes from \(\displaystyle x=\frac{y}{6}\) to \(x=y\) in that direction.

Perform Washer Method

\(\displaystyle V=\pi\int\limits^b_a {(R^2-r^2)} \, dy\\ \\V=\pi\int\limits^{24}_0 {\biggr(y^2-\biggr(\frac{y}{6}\biggr)^2\biggr)} \, dy\\\\V=\pi\int\limits^{24}_0 {\biggr(y^2-\frac{y^2}{36}\biggr)\biggr)} \, dy\\\\V=\pi\biggr(\frac{y^3}{3}-\frac{y^3}{108}\biggr)\biggr|_0^{24}\\\\V=\pi\biggr(\frac{24^3}{3}-\frac{24^3}{108}\biggr)\\ \\V=4480\pi \text{ units}^3\)

I've attached a visual to help better understand this problem!

The element that orients readers by previewing the structure of the report is "Organization."

Organizing a report effectively helps readers understand the flow of information and the logical structure of the content. By providing an overview of the organization, readers can anticipate the main sections, their sequence, and the connections between them.

The organization element typically includes headings, subheadings, and a clear hierarchy of information. It outlines the main sections and subsections of the report, indicating how they are related and how they contribute to the overall message or argument.

In addition to the organization element, the other options listed—Definitions of key terms and Sources and methods—also play important roles in a report. Definitions of key terms clarify terminology and provide a common understanding, while Sources and methods explain the sources of information and the methods used in the report's research or analysis. However, in the context of previewing the structure, the Organization element specifically serves this purpose.

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An inequality for the graph above is y ≤ -3x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-3 - 6)/(3 - 0)

Slope (m) = -9/3

Slope (m) = -3

At data point (0, 6) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -3(x - 0)  

y = -3x + 6

y ≤ -3x + 6 (since the solid line is shaded below).

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Answer:

Please see below.

Step-by-step explanation:

Original equation:

2x - y = 5

If you were to move the 2x to the other side of the equation, y would still be negative.

-y = -2x + 5

Now, if you wanted y to be positive, you would divide both sides by -1.

y = 2x - 5

Please let me know if I'm incorrect and I'll edit the question :)

Answer:

1/2

Step-by-step explanation:

If you convert all the fractions to having 16 at the bottom, you will get 12/16,

11/16,10/16,9/16...

Notice that the top is decreasing by 1 every time so the next number will be 8/16

8/16 is not in simplest form so convert that to 1/2

Answer:

p(3) = 25

Step-by-step explanation:

p(3) = 2(3 - 12)2+5

p(3) = 6 - 24 + 2 + 5

p(3) = 25

The set of parametric equations for the rectangular equation y = x^2 that satisfies the condition t = 6 at the point (6, 36) is x = t and y = t^2.

To find a set of parametric equations for the rectangular equation y = x^2 that satisfies the condition t = 6 at the point (6, 36), we can use the following steps:

Start with the equation y = x^2.

Introduce a parameter, let's say t, to represent the x-coordinate.

Express x and y in terms of t. Since y = x^2, we substitute x with t to get y = t^2.

Now, we need to find the values of t that correspond to the given condition t = 6 at the point (6, 36). To do this, we set t = 6 and find the corresponding value of y.

When t = 6, y = (6)^2 = 36. So, the point (6, 36) satisfies the equation y = x^2 with t = 6.

Finally, we can write the set of parametric equations as follows:

x = t

y = t^2

Therefore, the set of parametric equations for the rectangular equation y = x^2 that satisfies the condition t = 6 at the point (6, 36) is x = t and y = t^2.

These parametric equations allow us to represent the relationship between x and y in terms of the parameter t. By varying the value of t, we can generate different points on the curve y = x^2. In this case, when t = 6, we obtain the point (6, 36) on the curve.

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Answer:

133

Step-by-step explanation:

180-47=133

Answer: if the shape is a triangle, 180-47=133

if it is any other shape, 360-47=313

Step-by-step explanation:

Step-by-step explanation:

very difficult............

Volume of the solid obtained by rotating the region is 67π/6 .

Given,

Curves:

y=x², y=0, x=1, and x=2 .

The arc of the parabola runs from (1,1) to (2,4) with vertical lines from those points to the x-axis. Rotated around x=4 gives a solid with a missing circular center.

The height of the rectangle is determined by the function, which is x² . The base of the rectangle is the circumference of the circular object that it was wrapped around.

Circumference = 2πr

At first, the distance is from x=1 to x=4, so r=3.

It will diminish until x=2, when r=2.

For any given value of x from 1 to 2, the radius will be 4-x

The circumference at any given value of x,

= 2 * π * (4-x)

The area of the rectangular region is base x height,

= \(\int _1^22\pi \left(4-x\right)x^2dx\)

= \(2\pi \cdot \int _1^2\left(4-x\right)x^2dx\)

= \(2\pi \left(\int _1^24x^2dx-\int _1^2x^3dx\right)\)

= \(2\pi \left(\frac{28}{3}-\frac{15}{4}\right)\)

Therefore volume of the solid is,

= 67π/6

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Answer:

160 650.88 ( rounds to 160 651)

Step-by-step explanation:

Let n be the total amount of registered doctors that year. Then:

0.338n=54300

n=54300/0.338= 160 650.88 ( rounds to 160 651)

Answer:

2.4 %

Step-by-step explanation:

magic *poof*

The equation is a shorthand method for writing a mathematical rule.

The answer to your question is b.equation. An equation is a shorthand method for writing a mathematical rule. It represents a relationship between two or more variables using mathematical symbols and operations. Equations are commonly used in algebra, calculus, and other areas of mathematics to solve problems and make predictions. They are written using an equal sign (=) to show that the expression on the left is equal to the expression on the right. Equations are an important tool in mathematics because they allow us to express complex ideas in a concise and precise way. By using equations, we can simplify calculations and solve problems more efficiently.
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Answer:

-14/11

Step-by-step explanation:

when dividing a fraction, you flip the second fraction and turn the division sign into multiplication

so now you have -4/11 x 7/2

4 is divisible by 2 so you have: -2/11 x 7/1

now multiply -2 with 7 and 11 with 1: -14/11

Answer:

7x-7 ;x=4

we will just substitute for the values

=7(4)-7

=28-7

=21

Step-by-step explanation:

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Answer C

Step-by-step explanation:.

Answer:

b = 17.318    height = 23.318 ft

Step-by-step explanation:

This IS very similar to the other one, Emily..... Have you tried to solve it the same way?

b =   152 tan 6.5  = 17.318 ft      (using a calculator)

    add the height of the victim's head (6 ft)

17.318 + 6 = 23.318 ft

The graph has an asymptote at y = 0.

Option (A) is correct.

What is the asymptote of the graph?

An asymptote is a straight line that constantly approaches a given curve but does not meet at an infinite distance. In other words, an Asymptote is a line that a curve approaches as it moves toward infinity.

The given function is:

                                \(y = 12.(\frac{1}{2})^x\)

Now let's draw the graph for this given function,

By observing the graph we can conclude that the graph has an asymptote at y = 0 cause it is not meeting to the x-axis when it is approaching infinity.

Hence, the graph has an asymptote at y = 0.

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The correct number sentence is d. |12| > |-48|. This means that the absolute value of 12 is greater than the absolute value of -48.

Absolute value represents the distance of a number from zero on the number line. In option a, 12 is less than the absolute value of -12, which is 12. This is not true because 12 is not less than 12. In option b, the absolute value of -12 is 12, and it is indeed less than the absolute value of -48, which is 48. Therefore, option b is also false.

Moving on to option c, the absolute value of -48 is 48, and it is not less than the absolute value of 48, which is also 48. This means that option c is false as well.

Finally, in option d, the absolute value of 12 is 12, and it is greater than the absolute value of -48, which is 48. Hence, option d is the only true statement among the given options.

To summarize, the correct number sentence is d. |12| > |-48|, as the absolute value of 12 is greater than the absolute value of -48.

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