Make a box-and-whisker plot of the data. 60,63,53,66,65,58,51,55,58,51,58,62,53,66,61,51,65,52,54,50

1) a. mean =  4.164 b. standard deviation = 0.7792
2) a. mean =  $20.82 b. standard deviation = $3.896

To calculate the mean of the number of hours, we multiply each possible value by its probability and then add them up,

Mean = (1)(0.229) + (2)(0.113) + (3)(0.114) + (4)(0.076) + (5)(0.052) + (6)(0.027) + (7)(0.031) + (8)(0.358) = 4.164

Therefore, the mean number of hours that cars are parked is approximately 4.164.

To calculate the standard deviation of the number of hours, we use the formula,

SD = sqrt[(1/n) * sum(p(x)*(x - mean)^2)]

where n is the sample size, p(x) is the probability of each possible value, mean is the mean of the distribution, and x is each possible value.

Plugging in the values,

SD = sqrt[(1/8) * ((1-4.164)^20.229 + (2-4.164)^20.113 + (3-4.164)^20.114 + (4-4.164)^20.076 + (5-4.164)^20.052 + (6-4.164)^20.027 + (7-4.164)^20.031 + (8-4.164)^20.358)]

SD = sqrt[(1/8) * (2.4212)]

SD = 0.7792

To calculate the mean and standard deviation of the revenue generated per car, we simply multiply the mean and standard deviation of the number of hours by the cost per hour:

Mean revenue per car = 4.164 * $5 = $20.82

Standard deviation of revenue per car = 0.7792 * $5 = $3.896

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In this case we want to show that the following quadrilaterals are equal:

because in this way we will prove that opposite angles are equal.

We first want to exchange A ⇄ C, which is a reflection across x-axis

Then, we exchange B ⇄ D, which is a reflection across y-axis.

Answer: C

Answer:

3/100

Step-by-step explanation:

1 m = 100 cm

Scale factor = 3/100

Hope it helps you

Answer:

the answer would be 3/100

Answer:

1) 126 ounces

2) 18 pounds and 7 ounces

3)6 tons

Step-by-step explanation:

The probability of choosing a 5 and then a 6 is 1/49

From the question, we have the following parameters that can be used in our computation:

The tiles

Where we have

Total = 7

The probability of choosing a 5 and then a 6 is

P = P(5) * P(6)

So, we have

P = 1/7 * 1/7

Evaluate

P = 1/49

Hence, the probability of choosing a 5 and then a 6 is 1/49

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Question

You randomly choose one of the tiles. Without replacing the first tile, you choose a second tile. Find the probability of the compound event. Write your answer as a fraction or percent rounded to the nearest tenth. The probability of choosing a 5 and then a 6

Answer: Y= -5x+4

Step-by-step explanation:

The number of basic operations and the theta and Big O of the given functions have been calculated.

The answer can be summarized as follows:

C(n) = ∑i=0 n-2(∑j=i+1n-11):

Number of basic operations = Σ(n-1-i)

\(\theta\) = Θ(n2)

Big O = O(n2)

C(n) = ∑i=0n-1∑j=0 n-1 ∑k=0 n-11:

Number of basic operations = n3

\(\theta\)  = Θ(n2)

Big O = O(n2)

C(n) = ∑i=0n-2(∑j=i+1n-11) can be solved as follows:

For i = 0: i+1 = 1, i ≤ n-1

Therefore, j ranges from 1 to n-1∑j=1n-11 = n-1

For i = 1: i+1 = 2, i ≤ n-1

Therefore, j ranges from 2 to n-1∑j=2n-11 = n-2

For i = 2: i+1 = 3, i ≤ n-1

Therefore, j ranges from 3 to n-1∑j=3n-11 = n-3.......

For i = n-2: i+1 = n-1, i ≤ n-1

Therefore, j ranges from n-1 to n-1∑j=n-1n-11 = 1

Therefore, C(n) can be calculated as:

C(n) = ∑i=0n-2(n-1-i)   --------------- (1)

Now, calculating the value of C(n) using the formula (1):

C(n) = (n-1) × (n-1)/2    -------------- (2)

C(n) = Θ(n2) and O(n2).

C(n) = ∑i=0n-1∑j=0n-1∑k=0

n-11 can be solved as follows: ∑k=0n-11 = n

For each value of k, there will be a different number of terms in the inner loop.

j can range from 0 to n-1.

Therefore, the inner loop will run n times for k = 0. n-1 times for k = 1 and so on.

So, the inner loop will run for a total of n times for k = 0 to n-1.

C(n) = ∑i=0n-1∑j=0n-1n = n2C(n) = Θ(n2) and O(n2).

Thus, the number of basic operations and the theta and Big O of the given functions have been calculated.

The answer can be summarized as follows:

C(n) = ∑i=0 n-2(∑j=i+1n-11):

Number of basic operations = Σ(n-1-i)

Theta = Θ(n2)

Big O = O(n2)

C(n) = ∑i=0n-1∑j=0 n-1 ∑k=0 n-11:

Number of basic operations = n3

Theta = Θ(n2)

Big O = O(n2)

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Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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The Practice Operations with radical expressions is simplified using the basic of the Algebra:

Algebraic expressions incorporating radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both). The root might be an nth root, a square root, or a cube root. Radical expressions can be made simpler by taking them down to their most basic form and, if feasible, getting rid of all of the radicals.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. An algebraic expression's numerator and denominator are multiplied by the appropriate radical expression if the denominator contains a radical expression.

Practice Operations with radical expressions are:

1) \(\sqrt{540}\) = \(\sqrt{36 * 15 }\)

= 6√15

2) \(\sqrt[3]{432}\) = \(\sqrt[3]{216*2}\)

= \(6\sqrt[3]{2}\)

3) \(\sqrt[3]{128}\) = \(\sqrt[3]{64*2}\)

= \(4\sqrt[3]{2}\)

4) \(-\sqrt[4]{405}\) = \(-\sqrt[4]{81*5}\)

= \(-3\sqrt[4]{5}\)

5) \(\sqrt[3]{-5000}\) = \(-\sqrt[3]{1000*5}\)

= \(-10\sqrt[3]{5}\)

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Answer:

There are five times as many saxophones than violins.

Step-by-step explanation:

times is another word indicating multiplication

Answer:

She did not subtract 10 and 9 correctly. she did not rename correctly.

Step-by-step explanation:

your welcome :) hehe

Answer:

Step-by-step explanation:

It's correct look at the pic

Thus, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%.

To calculate the confidence interval of the proportion smeared in 200 sheets of paper inspected for smeared ink, we can use the formula:

Confidence Interval = sample proportion ± (critical value) x (standard error)

The sample proportion is the number of sheets containing smeared ink divided by the total number of sheets inspected, which is 17/200 = 0.085.

The critical value for a 99% two-sided confidence interval with 200 observations can be found using a t-distribution table or calculator, and is approximately 2.576.

The standard error can be calculated as the square root of [(sample proportion) x (1 - sample proportion) / sample size], which is the square root of [(0.085) x (1 - 0.085) / 200] = 0.028.

Plugging in these values, we get:

Confidence Interval = 0.085 ± (2.576) x (0.028)
Confidence Interval = 0.085 ± 0.072
Confidence Interval = (0.013, 0.157)

Therefore, with 99% confidence, we can say that the proportion of smeared ink in the 200 sheets of paper inspected falls between 1.3% and 15.7%. This means that we are 99% confident that the true proportion of smeared ink in the population of printed sheets falls within this range.

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Answer:

6x-10

Step-by-step explanation:

2(3x-5)

6x-10

Answer:

-30

Step-by-step explanation: 2 threetimes takeawyfive

The average probability of error for each user in a direct sequence CDMA system with 63 users and a processing gain of 511 can be determined using the Gaussian approximation. Under the assumptions of perfect power control and orthogonal, independent users, the average probability of error can be calculated.

In a direct sequence CDMA system, the average probability of error for each user can be calculated using the formula:
Average Probability of Error = (1 / (2 * log2(1 + Signal-to-Interference Ratio)))
To calculate the Signal-to-Interference Ratio (SIR), we need to consider the number of users and the processing gain. In this case, there are 63 users and each user has a processing gain of 511.
The SIR is given by the formula:
SIR = (Number of Users * Processing Gain) / (1 + (Number of Users - 1) * Processing Gain)
Substituting the values, we get:
SIR = (63 * 511) / (1 + (63 - 1) * 511)
Calculating the SIR, we find:
SIR ≈ 511
Now, we can calculate the average probability of error using the SIR value:
Average Probability of Error = (1 / (2 * log2(1 + 511)))
Calculating the average probability of error, we find:
Average Probability of Error ≈ 0.00286
Therefore, under the given assumptions of perfect power control, orthogonal, independent users, and the Gaussian approximation being valid, each user in the system would have an average probability of error of approximately 0.00286.

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The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.

The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.

Given the production function q = 1000KL, we can differentiate it with respect to L:

d(q)/d(L) = 1000K

Therefore, the RTS of the isoquant for production level q is 1000K.

The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.

Labor cost = $20/hour

Capital cost = $40/machine/hour

Ratio of labor to capital cost = Labor cost / Capital cost

                              = $20/hour / $40/machine/hour

                              = 0.5

The ratio of labor to capital cost is 0.5.

To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.

Let C(K, L) be the total cost function.

The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:

C(K, L) = 40K + 20L

To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.

The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.

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Answer:

-5/8

Step-by-step explanation:

Convert standard form to slope-intercept form to find the slope.

5x + 8y = 50

8y = -5x + 50

y = -5/8x + 50/8

Slope: -5/8

Answer:

-5/8x

Step-by-step explanation:

First you need to find the slope of the given line.

Do this by converting it to slope intercept form (y=mx+b)

Divide the whole equation by 8 to isolate the y variable.

After dividing by 8 you should now have 5/8x + y = 6.25

Now you need to subtract y and 6.25 to isolate y

5/8x - 6.25 = -y

Now you have to divide the whole equation by negative 1 to make y positive. You end up with: y = -5/8 + 6.25

We know that the slopes of parallel lines are equal. Therefore the answer is -5/8x

Answer:

150

Step-by-step explanation:

P = total distance

find the remaining distance which is

9- 4 = 5cm

6-4 = 2cm

P= 4+9+6+4+2+5

P= 30cm

Actual Perimeter

1cm = 5m

30 cm=?

30*5 = 150m

Answer:115

Step-by-step explanation:

Answer:

y=60°

x=12°

Step-by-step explanation:

because the propertiy of parallelogram is the opposite side have equal measurement.

that is why y=60°

x+3=15 the paralla side are equal

x=15°-3°

x=12°

proof》》》》x+3=

12°+3°=15°

15°=15°

There will be $530.68 in the account at the end of 2 years, if Arianna deposits $500 in an account that pays 3% interest, compounded semiannually.

The formula accrued amount in a compounded interest is expressed as;

A = P( 1 + r/n )^( n × t )

Where A is accrued amount, P is principal, r is interest rate and t is time.

Given the data in the question;

Principal P = $500

Compounded semi annually n = 2

Time t = 2 years

Interest rate r = 3%

Accrued amount A = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 3/100

r = 0.03

Plug the values into the above formula:

A = P( 1 + r/n )^( n × t )

A = $500( 1 + 0.03/2 )^( 2 × 2 )

A = $500( 1 + 0.015 )^( 4 )

A = $530.68

Therefore, the accrued amount is $530.68.

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Answer:

y = 17.5

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 35 when x = 140, then

35 = 140k ( divide both sides by 140 )

0.25 = k

y = 0.25x ← equation of proportion

When x = 70, then

y = 0.25 × 70 = 17.5

Answer:

The answer is $2.14 per pound of apples.

Step-by-step explanation:

7.29/3.4= roughly 2.14.

Answer:

is 24.786

Step-by-step explanation:

multiply the numbers and that's how you get your answer and I use my calculator so I know the answer is 24.786

The soda left in the bottle is 0.4 liters in a 2-liter bottle.

Let’s understand this with the concept of Ratio.

How does ratio work?

When two objects are related using numbers or amounts, the relationship is known as a ratio.

Initially, we are given that the bottle is 2 liters. From that, Sergio poured ⅘ of the soda.

So, the soda left is the initial quantity- the final quantity

= 2(initial quantity) - ⅘*2(final quantity)

=2 - 1.6= 0.4 liter

So finally, the soda left in the 2-liter bottle is 0.4 liter.

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Answer: -87

Step-by-step explanation:  -(−5)² + 9(−5) − 17 =

-25 - 45 - 17  = -87

Answer:

f(x)= 3

Step-by-step explanation:

If f(x) is equal to -\(x^{2}\)+9x-17 and f(-5)

You will substitute -5 where you see all the x's

-(-5)\(^{2}\)+9(-5)-17

That will equal to

-25+45-17

Combine all the like terms

This will lead you to answer 3

So, f(x) =3

Answer

The answer is B

The outward flux of the vector field F across the boundary of the region D, which is the cube bounded by the planes x = ±1, y = ±1, and ±1, can be found using the divergence theorem.

The outward flux is the integral of the divergence of F over the volume enclosed by the boundary surface.The first step is to calculate the divergence of F. The divergence of a vector field F = P i + Q j + R k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, div(F) = ∂/∂x(5y - 4x) + ∂/∂y(-4z - 5y) + ∂/∂z(-3y - 2x). Simplifying these partial derivatives, we have div(F) = -4 - 2 - 3 = -9.

Applying the divergence theorem, we can relate the flux of F across the boundary surface to the triple integral of the divergence of F over the volume enclosed by the surface. Since D is a cube with sides of length 2, the volume enclosed by the surface is 2^3 = 8.

Therefore, the outward flux of F across the boundary of D is given by ∬S F · dS = ∭V div(F) dV = -9 * 8 = -72. The negative sign indicates that the flux is inward.

In summary, the outward flux of the vector field F across the boundary of the cube D, as described by the given vector components, is -72. This means that the vector field is predominantly flowing inward through the boundary of the cube.

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Answer:  $26.70 per hour

Step-by-step explanation:

Regular hours consists of 8 hrs

Overtime hours is 12 - 8 = 4 hours

Regular pay at "x" per hour = 5(8)(x) = 40x

Overtime pay at "2x" per hour = 5(4)(2x) = 40x

                                                  Total pay = 80x

Total Pay = $2136 = 80x

                     \(\dfrac{\$2136}{80}=x\)

                   $26.70 = x

Answer:

The value of the expression h-20 when h = 60 is 40.

Step-by-step explanation:

If we simply substitute h with 60 (h = 60) we get:

Hope this helps!!

\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{h - 20}}\\\\\huge\boxed{\mathsf{\rightarrow 60 - 20}}\\\\\huge\text{Start from 60 \& go DOWN -20 spaces to the}\\\huge\text{left.}\\\\\huge\boxed{\mathsf{\rightarrow 40}}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{40}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

x=-2

Step-by-step explanation:

−8x−10=4x+14

-8x-4x=14+10

-12x=24

\(\frac{-12x}{-12} = \frac{24}{-12}\)

x = -2