Neely has $1.73 in coins. He gives his friend 1 quarter and 3 nickels.
What is the value of the coins he has left?

At least 174 participants for the clinical trial, with half of them assigned to the current drug group and half assigned to the new drug group.

To answer this question, we need to consider some statistical concepts. The event rate, or the percentage of patients who progress to cancer, is a key factor in this scenario. The current drug has an event rate of 28%, while the new drug is expected to reduce this further to 23%. We want to detect a difference between these two rates, which is 5 percentage points.

The power of a statistical test is the probability of detecting a true difference between two groups, given that such a difference exists. In this case, we want the power to be at least 80%, which means that we want to have an 80% chance of detecting a true difference of 5 percentage points between the current and new drugs.

To calculate the sample size needed for the clinical trial, we need to consider the expected event rates, the desired power, and the level of statistical significance. The level of significance is typically set at 5%, which means that we are willing to accept a 5% chance of making a type I error (i.e., rejecting the null hypothesis when it is actually true).

Assuming a two-sided test (i.e., testing for a difference in both directions), we can use a formula or an online calculator to determine the sample size. The formula is:

n = (Zα/2 + Zβ)² [p₁(1-p₁) + p₂(1-p₂)] / (p₁ - p₂)²

where n is the sample size, Zα/2 is the critical value of the standard normal distribution at the 2.5% level (for a two-sided test), Zβ is the critical value of the standard normal distribution at the desired power (in this case, 80%), p₁ is the event rate for the current drug (28%), p₂ is the event rate for the new drug (23%), and (p₁ - p₂) is the expected difference in event rates.

Plugging in the values, we get:

n = (1.96 + 0.84)² [(0.28)(0.72) + (0.23)(0.77)] / (0.28 - 0.23)²

n = 173.2

Rounding up to the nearest whole number, we get a sample size of 174 participants.

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{-15}

1) Let's solve this expression:

Note that we multiplied by 2 and then by (x+5) so that we could get rid of the denominators.

2) Examining the options, we can state that:

The solution set is S={-15}

Since there's one solution for that.

Answer: 21 cups of sugar, 7 cakes

Solve the following proportion:

3/5=x/35

Cross multiply:

5x=35(3)

5x=105

x=21 cups of sugar

3 cups of sugar= 1 cake

21 cups of sugar= x cakes

Cross multiply:

3x=21

21/3

7 cakes

Answer:

28.26 u²

Step-by-step explanation:

What we know:

A circle has a circumference of 18.84 u.

That means the diameter is 6, and the radius is 3.

The area of a circle can be found with: πr²

3.14(3²)

3.14(9)

28.26 u²

The area of the circle is 28.26 square units when the circumference of circle is 18.84 units.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

The circumference of the circle is 18.84 units

We have to find the area of circle

To find area we need to know the radius

Circumference of circle = 2πr

18.84 = 2πr

18.84 = 2×3.14 r

18.84=6.28 r

Divide both sides by 6.28

r=18.84/6.28

r=3

Now let us find area

Area = πr²

=3.14×3²

=9×3.14

=28.26 square units

Hence, the area of the circle is 28.26 square units when the circumference of circle is 18.84 units.

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Answer:

6x^2 + 5x + 6

Step-by-step explanation:

Distributive property

Answer:

=6x^2+5x−6

Step-by-step explanation:

Using the foil method, 3x*2x+3x*3+-2*2x+-2*3

Answer:

10 cm

Step-by-step explanation:

Diameter= 2X radius

20/ 2 = radius

20/2 = 10 cm

Answer:

? i need help

Step-by-step explanation:

Really hope this helps you!

Answer: y^16/x^9

Step-by-step explanation:

 (x^-2(y^4))^3/x^3y^4

(x^-2y^4)^3/x^3 * y^4

x^-6y^12/x^3 * y^4

y^12/x^9 * y^4

y^16/x^9

Answer:

Rhombus

Step-by-step explanation:

Rhombus has all the properties of a parallelogram and has additional features : like -

- all sides r equal

- diagonals bisect each other at a right angle

I hope  im right

Sales in dollars made by a sales person are an example of quantitative data.

The correct answer choice is option B.

Quantitative data can be defined as data which measures of values or counts are expressed as numbers such as discreet and continuous data.

They help to measure types and are usually represented by symbol and numbers.

Hence, sales as well as revenue are qualitative data.

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Answer:

The answer is 3%

Step-by-step explanation:

1.) $160 divided by $164.80 = 1.03

2.) 1.03 x 100 = 103

3.) 103 - 100 = 3

4.) 164.80 - 160 = 4.80

5.) 4.80 divided by 160 = 0.03

6.) 0.03 x 100 = 3%

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

C The graph of g (x) is the graph of f(x) translated 10 units left

Step-by-step explanation:

Answer:

Step-by-step explanation:

QWEQEQWEQEQEQEQ

p=4n+2 equation describes the relationship between n and p

How to find a function?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

Here the coordinates are (1,6),(2,10),(3,14),(4,18)

take two coordinates arbitrarily

ie. (1,6) and (3,14)

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{14-6}{3-1}\\ = \frac{8}{2}\)

=4

we know the equation

\(y-y_{0} = m(x-x_{0} )\)

where \((x_{0},y_{0})= (1,6)\)

y-6 = 4(x-1)

y-6 = 4x-4

y = 4x-4+6

y = 4x+2

here y is the profit and x is the number of shirts

∴p=4n+2

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Given the following information: Five years ago, someone used her $40,000 saving to make a down payment for a townhouse in RTP. The house is a three-bedroom townhouse and sold for $200,000 when she bought it. After paying down payment, she financed the house by borrowing a 30-year mortgage.

Mortgage interest rate is 4.25%. Right after closing, she rent out the house for $1,800 per month. In addition to mortgage payment and rent revenue, she listed the following information so as to figure out investment return: 1. HOA fee is $75 per month and due at end of each year 2. Property tax and insurance together are 3% of house value 3. She has to pay 10% of rent revenue for an agent who manages her renting regularly 4. Her personal income tax rate is 20%. While rent revenue is taxable, the mortgage interest is tax deductible. She has to make the mortgage amortization table to figure out how much interest she paid each year 5. In the last five years, the market value of the house has increased by 4.8% per year 6.

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Answer:

817

Step-by-step explanation:

Answer:

x intercept = 26

y intercept = 6.5

Step-by-step explanation:

n/a

\(\\ \rm\longmapsto y-6=4(x+5)\)

\(\\ \rm\longmapsto y-6=4x+20\)

\(\\ \rm\longmapsto y=4x+20+6\)

\(\\ \rm\longmapsto y=4x+26\)

y intercept=26

x intercept=4

The MCVST or MCVSD admission test is an entrance exam for students who live in New Jersey and are seeking admission to the Morris County Vocational School District. This test is designed to assess the academic abilities and potential of students.

The MCVST admission test typically includes sections in math, reading comprehension, and language skills. The math section assesses the student's understanding of mathematical concepts and problem-solving skills. The reading comprehension section evaluates the student's ability to understand and analyze written passages. The language skills section tests the student's knowledge of grammar, vocabulary, and sentence structure.

To prepare for the MCVST admission test, there are several practice tests available online. Some websites offer free practice tests specifically designed for this exam. You can search for these practice tests by using keywords like "free MCVST admission test practice" or "MCVSD practice tests."

Remember to utilize these practice tests to familiarize yourself with the types of questions and format of the MCVST admission test. This will help you feel more confident and prepared on test day.

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Answer =2n^2+11n

you welcome:)

2n² + 11n

5(n² + n) – 3(n²2 – 2n) =

= 5n² + 5n - 3n² + 6n

= 2n² + 11n

The standard score (z-score) for a data value 0.6 standard deviations above the mean is z = 0.6. The corresponding percentile is approximately 72.57, which can be rounded to 72.57%. Therefore, the correct answer is option B) z = 0.6; percentile 72.57.

The standard score (z-score) measures the number of standard deviations a data value is away from the mean. It is calculated using the formula:

z = (x - μ) / σ

Where x is the data value, μ is the mean, and σ is the standard deviation.

In this case, we are given that the data value is 0.6 standard deviations above the mean. So, we can substitute the values into the formula:

z = (0.6 - 0) / 1 = 0.6

Thus, the standard score (z-score) for the given data value is z = 0.6.

To find the percentile, we can use a standard normal distribution table or a calculator. The percentile represents the percentage of data values that are below a given value.

Since the z-score is positive (0.6), the percentile corresponds to the area under the standard normal distribution curve to the left of the z-score. Using a standard normal distribution table or calculator, we find that the percentile corresponding to z = 0.6 is approximately 72.57%.

Therefore, the correct answer is option B) z = 0.6; percentile 72.57.

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It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a).

If two events "A" and "B" are such that the occurrence of either one of the two events before the occurrence of another event affects the event occurring later, the probability that event "A" will happen given that the event "B" has occurred is:

\($P(A \mid B)=\frac{P(A \cap B)}{P(B)}$$\)

a) The likelihood that the person bought a small cup, P(S) = 0.34

The likelihood that the person bought a cup of decaf coffee, P(D) = 0.40

b) If the selected individual purchased a small cup then the probability that he/she chose decaf coffee:

\($P(D \mid S) & =\frac{P(S \cap D)}{P(S)} \\\)

\($& =\frac{0.20}{0.34} \\\)

= 0.5882

If it is a tiny cup, the likelihood that someone bought a decaf coffee is 0.5882.

c) If we learn that the selected individual purchased decaf, the probability that small size was selected

\($P(S \mid D) & =\frac{P(S \cap D)}{P(D)} \\\)

= 0.20/0.40

= 0.5000

When compared to the equivalent unconditional probability of part(a),

It was likely that the person bought a tiny cup of coffee, which could have been regular or decaf, in section (a). If the coffee is decaf, there is a chance that the buyer only bought a little cup.

The complete question is:

The accompanying table gives information on the type of coffee selected by someone purchasing a single cup at a particular airport kiosk.

Consider randomly selecting such a coffee purchaser.

a. What is the probability that the individual purchased a small cup? A cup of decaf coffee?

b. We learn that the selected individual purchased a small cup. What now is the probability that he/she chose decaf coffee, and how would you interpret this probability?

c. If we learn that the selected individual purchased decaf, what now is the probability that a small size was selected, and how does this compare to the corresponding unconditional probability of (a)?

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Together, it will take the two machines 102 minutes to produce 5100 cans.

To solve this problem, we will use the work formula,

which is Work = Rate × Time.

1. First, let's find the rate of each machine.

New machine rate: 5100 cans / 170 minutes = 30 cans/minute

Old machine rate: 5100 cans / 255 minutes = 20 cans/minute

2. Now, let's find the combined rate of both machines. Combined rate: New machine rate + Old machine rate = 30 cans/minute + 20 cans/minute = 50 cans/minute

3. Finally, we will use the combined rate to find the time it takes for both machines to produce 5100 cans together.

Time = Work / Combined rate = 5100 cans / 50 cans/minute = 102 minutes

Together, it will take the two machines 102 minutes to produce 5100 cans.

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Answer:

35°

Step-by-step explanation:

set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180

x+x-15+95=180

2x+80=180

2x=100

x=50

now plug it in

50 - 15 = 35

answer

35°

Step-by-step explanation:

set it equal to 180 because the total sum of the interior angles of a triangle is equal to 180

x+x-15+95=180

2x+80=180

2x=100

x=50

now plug it in

50 - 15 = 35

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

If  the actual amount is 67 marbles.  the percent error is 37%.

Using this formula to find the percent error

Percent error =   Actual value -Estimated value/ Estimated value

Where:

Actual value = 67

Estimated value = 42

Let plug in the formula

Percent error = 67 - 42 /67

Percent error = 25/67 × 100

Percent error = 37%

Therefore the percent error is 37%.

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Answer:

8

Step-by-step explanation:

8-15=-7

-7/7=-1

Answer:

x = 2

Step-by-step explanation:

Step 1:

Simplify both sides of the equation.

Step 2:

Subtract 3x from both sides.

Step 3:

Add 2 to both sides.

Step 4:

Divide both sides by 5.

Answer:

2.1 cm

Step-by-step explanation:

Length of an Arc = θ × (π/180) × r, where θ is in degree.

Bottom Arc: 120 x (3.142/180) x 5 = 10.5

Top Arc = 120 x (3.142/180) x (5+1) = 12.6

Answer  = Top Arc - Bottom Arc

= 12.6 - 10.5

= 2.1cm

Answer:

2.1 cm

Step-by-step explanation:

If there are 2 arcs with the centre O, that means that O is the center of the "imaginary" circle.

So, we can use the regular arc length formula:
\(2\pi r(\frac{?}{360})\)

with the ? being the central angle.  The central angle in this case is 120 degrees.

So, first let's find the small arc length:

\(2\pi (5)(\frac{120}{360} )\\10\pi (\frac{1}{3} )\\10.5\)

Next, the larger arc:

\(2\pi (6)(\frac{1}{3} )\\12\pi (\frac{1}{3})\\ 4\pi \\12.6\)

Next, subtract the 2 lengths:

12.6-10.5

=2.1

So, the larger arc is 2.1 cm longer than the smaller arc.

Hope this helps! :)