Angelique is buying towels for her apartment. She finds some green towels that cost $8 each and blue
towels that cost $10 each. She wants to buy at least 4 towels but doesn't want to spend more than $70. How
many of each towel can she purchase?

We cannot provide numerical estimations without specific values. To estimate ΔV/r using linear approximation, we can use the differential form of the volume formula:

dV = (∂V/∂r) dr + (∂V/∂h) dh

Here, (∂V/∂r) represents the partial derivative of V with respect to r, and (∂V/∂h) represents the partial derivative of V with respect to h.

Let's calculate these partial derivatives:

∂V/∂r = 2πrh
∂V/∂h = πr²

Now, we can estimate ΔV/r by substituting Δr = a and Δh = b:

ΔV/r = (∂V/∂r) Δr/V = (2πrh) a / (πr²h)
      = 2ah / r

Therefore, ΔV/r ≈ 2ah/r.

Next, let's estimate the percentage increase in V if both r and h are increased by 78. We'll denote the percentage increase as ΔV/V.

To estimate ΔV/V, we can use the formula:

ΔV/V = (∂V/∂r) (Δr/r) + (∂V/∂h) (Δh/h)

Substituting Δr = 78 and Δh = 78:

ΔV/V = (∂V/∂r) (78/r) + (∂V/∂h) (78/h)
      = (2πrh) (78/r) + (πr²) (78/h)
      = 156πh/r + 78πr/h

To calculate the percentage increase, we divide ΔV/V by the original volume V and multiply by 100:

Percentage Increase = (ΔV/V) * 100
                         = [(156πh/r + 78πr/h) / (πr²h)] * 100
                         = [(156h/r + 78r/h) / (r²h)] * 100

Simplifying further, we get:

Percentage Increase ≈ [(156h/r + 78r/h) / (r²h)] * 100

Note that in the given problem, the values of a, b, r, and h are not specified. Therefore, we cannot provide numerical estimations without specific values.

However, you can use the above symbolic expressions and substitute the corresponding values to obtain the numerical results.

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Answer:

\(\frac{-7}{10}\ or \ 0.7\)

Step-by-step explanation:

step 1.

\(\frac{1}{3} (\frac{-6}{4}-\frac{1}{2}(\frac{6}{5}))\)

step 2.

put it in a calculator

step 3

=\(\frac{-7}{10}\ or \ 0.7\)

Most data is likely to be skewed following a particular trait because when considering real life data, it is likely that it may concentrate on one end of the values on the real line as there is high uncertainty that exists with real life.

There is very little confidence that the population would behave in expected ways.

The skewed distribution implies the distribution that is not symmetrical. If a distribution is skewed it can be skewed to the left i.e. mean lies to the left of the center or skewed to the right i.e. mean lies to the right of the center of the distribution.

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Answer:

so then it to be 25000

Step-by-step explanation:

Answer:

where is the diagram dude

i think u wolud be having a digram of it

The correct answer is a) the probability of precipitation is 72%. and b)  the probability of precipitation is 2%.

The given formula to determine the probability of precipitation (PoP) is PoP = (C * A) * 100 percent where C represents the confidence that precipitation will occur somewhere in the forecasted area and A represents the percentage of the area that will receive measured precipitation if it occurs.

(a) If a forecaster expresses confidence that there is an 80% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 90% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 80%A = 90%PoP = (80% * 90%) * 100%

PoP = 72%.

Therefore, the probability of precipitation is 72%.

(b) If a forecaster expresses confidence that there is a 20% chance of precipitation in the forecasted area, and it is expected to produce measurable precipitation over 10% of the area, then the probability of precipitation is given as follows: PoP = (C * A) * 100 per cent C = 20%A = 10%PoP = (20% * 10%) * 100%PoP = 2%

Therefore, the probability of precipitation is 2%.

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Answer:

Step-by-step explanation:

a. 0.04... 4/100... 0.04

b. 4.25... 4 25/100... 4.25

c. 4... 4/100... 0.04

Answer:

1a)0.0004; 1/2500

1b)0.0425; 17/400

1c)0.04; 1/25

2a)0.5; 50%

2b)0.8; 80%

2c) 3; 300%

3a)68.2%; 5/8

3b)0.45%; 9/2000

3c)170%; 17/10 or 1 7/10

Step-by-step explanation:

Answer:

12:55

Step-by-step explanation:

12 + 8+ 9 + 10 + 16 = 55

good luck, i hope this helps :)

Answer:

12/55

Step-by-step explanation:

Answer:

its 4√2i i think

Step-by-step explanation:

Answer:

Answer:B

Step-by-step explanation:

Hello!

1/6 ≈ 0.167

the answer is 0.167

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

Answer:

34.00 $

Step-by-step explanation:

42.50:5= 8.50$ each

8.50*4= 34$

The volume of the rectangular box is given by using the Lagrangian multiplier theorem is 172.435 cubic units.

It states that any local maxima or any local minima of the function are calculated under the equality constraints.

The equation of ellipsoid is given as,

\(\frac{x^2}{4} +\frac{y^2}{64} +\frac{z^2}{49} =1\)

Let the edges of the required rectangular box be x, y, and z.

Then, the volume of the box in the first quadrant is V = xyz

Then we have,

\(\phi(x,y,z) = \frac{x^2}{4} +\frac{y^2}{64} +\frac{z^2}{49} -1\)  

By the Lagrange multiplier,

\((V_x,V_y,V_z) = \lambda (\phi_x, \phi_y,\phi_z)\\\\(yz,xz,xy)=\lambda(\frac{2x}{4},\frac{2y}{64},\frac{2z}{49} )\\\\xyz = \lambda\frac{x^2}{2},xyz =\lambda\frac{y^2}{32} ,xyz=\lambda\frac{2z^2}{49} \\\\x^2 = 2k, y^2=32k,z^2=49k/2\)

Solving for k we have the value of k as k = 2/3.

Put k=2/3 in equation 2, we have

x² = 2*2/3 , y² = 32*2/3, z² = 49/2*2/3

x =±2/√3 , y= ±8/√3 , z = ±7/√3

Then the volume of the rectangular box will be

Volume  = \(\frac{2}{\sqrt{3} } \frac{8}{\sqrt{3} } \frac{7}{\sqrt{3} }\)

Volume  = 172.435 cubic units.

Therefore, the value of  volume of the rectangular box is  172.435 cubic units.

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Answer:

\(3*(2x+3)*(x+1)\)

Step-by-step explanation:

pull like terms from the problem to re-arrange it into a product

\(\left(2x+3\right)\left(3x+3\right)\\3x + 3 = 3 \cdot (x + 1)\\3 \cdot (2x + 3) \cdot (x + 1)\\\)

The answer to the question is that the velocity of the particle at time t is given by v(t) = f'(t) = 9t^2 + 4.

we first need to understand that velocity is the rate of change of position with respect to time. In other words, it tells us how fast the particle is moving at any given moment.
To find the velocity, we need to take the derivative of the position function with respect to time. This gives us the rate of change of position, or the velocity function. In this case, the position function is f(t) = 3t^3 + 4t + 9, so we need to find its derivative.
The derivative of f(t) is f'(t) = 9t^2 + 4. This is the velocity function, which tells us the velocity of the particle at any given time. For example, if we want to know the velocity at time t = 2, we simply plug in 2 for t in the velocity function:
v(2) = 9(2)^2 + 4 = 40
Therefore, the particle has a velocity of 40 units per time at t = 2.

the question is that we need to take the derivative of the position function to find the velocity function. In this case, the velocity function is v(t) = f'(t) = 9t^2 + 4, which tells us the velocity of the particle at any given time.

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The cost of the apples is 2.9 dollars.

The cost of the bananas is 5.7 dollars.

The total cost is 6 dollars, each apple cost $1.50 each banana cost $.30 and there’s two more bananas then apples.

Therefore,

let

x = number of apples

y = 2x

where

Therefore, using equations,

1.5(x) + y(0.30) = 6

Hence,

where

y = 2x

1.5(x) + 2x(0.30) = 6

1.5x + 0.6x = 6

2.1x = 6

divide both sides by 2.1

x = 6 / 2.1

x = 2.9 dollars

y = 2(2.9) = 5.7 dollars

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To calculate the p-value, we need to use a one-tailed t-test since we're interested in the probability of getting a sample mean greater than 12.10 oz.

First, we need to calculate the t-statistic:

t = (sample mean - hypothesized mean) / (standard deviation / sqrt(sample size))

t = (12.15 - 12.10) / (0.05 / sqrt(25))

t = 3.1623

Next, we need to find the degrees of freedom, which is the sample size minus one:

df = 25 - 1 = 24

Using a t-distribution table with 24 degrees of freedom and a significance level of 0.01, we find that the critical value is 2.492.

Since the calculated t-value (3.1623) is greater than the critical value (2.492), we can reject the null hypothesis and conclude that there is evidence that the mean volume is greater than 12.10 oz.

To find the p-value, we need to calculate the probability of getting a t-value greater than 3.1623 with 24 degrees of freedom:

p-value = P(t > 3.1623) = 0.0028 (calculated using a t-distribution table or software)

Therefore, the p-value is 0.0028, which is less than the level of significance (0.01), indicating strong evidence against the null hypothesis.

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Answer:

Third Choice: a = 2, b = -3, c = -27

Step-by-step explanation:

The equation to be solved with the quadratic formula must be written in the form

ax^2 + bx + c = 0

2x^2 = 27 + 3x

Subtract 3x from both sides. Subtract 27 from both sides.

2x^2 - 3x - 27 = 0

Now we see we have

a = 2, b = -3, c = -27

Answer: Third Choice

To construct a confidence interval for the proportion of adults who believe that economic conditions are getting better, the pollster needs to consider the sample size and margin of error.

In part (a), the pollster has an estimate of the proportion (0.25) and wants a margin of error of 0.02 with a 95% confidence interval. To determine the sample size needed, the pollster can use the formula:

sample size = (Z^2 * p * q) / E^2

where Z is the z-score for the confidence level (1.96 for 95%), p is the estimated proportion (0.25), q is 1-p, and E is the margin of error (0.02).

Plugging in these values, we get:

sample size = (1.96^2 * 0.25 * 0.75) / 0.02^2
sample size = 861.3

Therefore, a sample size of 862 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, based on the estimate of 0.25.

In part (b), if no estimate of p is available, the pollster can use a conservative estimate of p = 0.5 to calculate the sample size needed. This is because a sample size calculated using p = 0.5 will be the largest sample size needed for any value of p.

Using the same formula as before, we get:

sample size = (1.96^2 * 0.5 * 0.5) / 0.02^2
sample size = 2401

Therefore, a sample size of 2401 adults is needed to obtain a 95% confidence interval with a margin of error of 0.02, without an estimate of p.

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Answer:

y = 2x - 8    OR     4 - 2x = -4 - y

Step-by-step explanation:

Use the point-slope form m(x₁-x₂) = (y₁-y₂); m means slope

plug in your numbers:

2(2-x₂) = (-4-y₂)

4 - 2x = -4 - y

or to put it into Y=mx + b:

y = 2x + 8

Answer:

8(x + 6) = 144

Step-by-step explanation:

We can start building this equation by making everything equal to 144 since the problem is representing the total number of apples:

? = 144

Next, we don't know how many apples are in each basket, so we can represent it with a variable, x.

Since 6 apples are added to each basket we will simply add 6 to the "x" amount of apples in each basket:

x + 6 = 144

Lastly, according to the scenario, we have 8 baskets, each holding "x" amount of apples plus the extra 6 that was added, so it will be multiplied:

8(x + 6) = 144

Answer:

214 feet

Step-by-step explanation:

2(48+3) + 2(53+3)

2x51 + 2x56

102 + 112 = 214 feet

The correct answer is option D. The probability that a randomly selected person from the survey is at least 175 centimeters tall is 0.656.

To calculate the probability that a randomly selected person from the survey is at least 175 centimeters tall, we need to consider the total number of people who are at least 175 centimeters tall and divide it by the total number of people surveyed.

Looking at the table, the number of people with a height of at least 175 centimeters is the sum of the values in the "175 to 180 cm" and "Above 180 cm" rows, which is 90 + 74 = 164.

The total number of people surveyed is given as 250.

Therefore, the probability of selecting a person who is at least 175 centimeters tall is 164/250.

Simplifying this fraction, we have:

164/250 = 0.656

So, the correct answer is option D. The probability that a randomly selected person from the survey is at least 175 centimeters tall is 0.656.

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Answer:

159.3 cm2

Step-by-step explanation:

The radius of this circle is half of 14, or 14/2 = 7.

area of circle= π x 7*2 = π x 49 = 153.938..... or 159.3 to 1 decimal place.

area of our circle C = 159.3 cm2.

The relationship between ∠8 and ∠4 include the following: A. corresponding angles.

In Mathematics, corresponding angles can be defined as a postulate (theorem) which states that corresponding angles are always congruent when the transversal intersects two (2) parallel lines. This ultimately implies that, the corresponding angles will be always equal (congruent) when a transversal intersects two (2) parallel lines.

By applying corresponding angles theorem to lines l and m, we have the following:

8 ≅ ∠4

3 ≅ ∠7

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Circle

The symbol used to represent the transformation process in a DFD (Data Flow Diagram) is a circle. Therefore, the option (c) is correct.The DFD is a graphical representation of the data flow through an information system. It is used to represent and design systems analysis and information systems architecture of an organization. A DFD consists of various symbols that are used to represent the components of the system, such as processes, data flows, and data stores. Below are the details of all the options given in the question:Option (a) shows a small shaded triangle. This symbol is used to represent the flow of data from one place to another in a single direction.Option (b) shows two small solid lines arranged one above the other. This symbol is used to represent a document or report in the data flow.Option (d) shows a square. This symbol is used to represent a data store or a database.In summary, a circle is used to represent the transformation process in a DFD.

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Answer:

yes they will be equal in 1.3 years

Step-by-step explanation:

Answer:

csc x = \(\frac{5}{2}\)

Step-by-step explanation:

using the identity

csc x = \(\frac{1}{sinx}\)

then

csc x = \(\frac{1}{\frac{2}{5} }\) = \(\frac{5}{2}\)