the relationship between x and y is proportional. when x is 5 and y is 20. what is x when y is 80?

The total fare is $9.72

What is the cost?

A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost.

Here, We have

Given:

For first 1/4 mile = $1.25,

For each additional 1/4 mile = $0.35,

For each additional passenger = $1.25.

Now,

4 1/2 = 9/2 = 4.5 miles

Here, the price is different for the first 1/4 mile.

So,

4.5 – 0.25 = 4.25 miles

If it costs $0.35 for 0.25 miles then it will cost $1.4 for 1 mile.

0.35 × 4 = $1.4

Now, for 4.25 miles

1.4 + 1.4 + 1.4 + 1.4 + 0.35 = $5.95

Now, For the first 1/4 mile and for each additional passenger.

$5.95 + $1.25 + $1.25 = $8.45

Here, The total fare with a 15% tip

8.45 × 15 ÷ 100 = $1.2675

Now,

$8.45 + $1.2675 = $9.7175 ≈ $9.72

Hence, the total fare is $9.72

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Answer:

x represents the trip distance.

x = 300 miles

Rate of bus = 50 mph

Rate of train = 75 mph

Step-by-step explanation:

Let the trip distance be x miles.

\( \because \: speed = \frac{distance}{time} \\ time \: taken \: by \: bus \: to \: complete \: \\ the \: trip \: = 6 \: hours \\ \therefore \: speed \: of \: bus = \frac{x}{6} \: mph \\ \\ time \: taken \: by \: train \: to \: complete \: \\ the \: same \: trip \: = 4 \: hours \\ \therefore \: speed \: of \: train = \frac{x}{4} \: mph \\ \\ \because \: \: speed \: of \: train \\ =speed \: of \: bus \: + 25 \: mph \\ \therefore \: \frac{x}{4} = \frac{x}{6} + 25 \\ \\ \therefore \: \frac{x}{4} - \frac{x}{6} = 25 \\ \\ \therefore \: \frac{6x - 4x}{4 \times 6} = 25 \\ \\ \therefore \: \frac{2x}{24} = 25 \\ \\\therefore \: \frac{x}{12} = 25 \\ \\ \implies \: x = 25 \times 12 \\ \implies \: x =300 \: miles \\ \\ rate \: of \: bus = \frac{x}{6} = \frac{300}{6} = 50 \: mph\\ \\ rate \: of \: train = \frac{x}{4} = \frac{300}{4} = 75 \: mph\)

For any integers a>0,b>0, and n, (a) ⌊2n​⌋+⌈2n​⌉=n Given, a > 0, b > 0, and n ∈ N

To prove, ⌊2n⌋ + ⌈2n⌉ = n

Proof :Consider the number line as shown below:

Then for any integer n, n < n + ½ < n + 1

Also, 2n < 2n + 1 < 2n + 2

Now, as ⌊x⌋ represents the largest integer that is less than or equal to x and ⌈x⌉ represents the smallest integer that is greater than or equal to x

Using above inequalities:

⌊2n⌋ ≤ 2n < ⌊2n⌋ + 1

and ⌈2n⌉ - 1 < 2n < ⌈2n⌉ ⌊2n⌋ + ⌈2n⌉ - 1 < 4n < ⌊2n⌋ + ⌈2n⌉ + 1

Dividing by 4, we get

⌊2n⌋/4 + ⌈2n⌉/4 - 1/4 < n < ⌊2n⌋/4 + ⌈2n⌉/4 + 1/4

On adding ½ to each of the above, we get

⌊2n⌋/4 + ⌈2n⌉/4 + ½ - 1/4 < n + ½ < ⌊2n⌋/4 + ⌈2n⌉/4 + ½ + 1/4⌊2n⌋/2 + ⌈2n⌉/2 - 1/2 < 2n + ½ < ⌊2n⌋/2 + ⌈2n⌉/2 + 1/2⌊2n⌋ + ⌈2n⌉ - 1 < 2n + 1 < ⌊2n⌋ + ⌈2n⌉

On taking the floor and ceiling on both sides, we get:

⌊2n⌋ + ⌈2n⌉ - 1 ≤ 2n + 1 ≤ ⌊2n⌋ + ⌈2n⌉⌊2n⌋ + ⌈2n⌉ = 2n + 1

Hence, proved.

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The value of c that makes the estimator cW1 + (1 - c)W2 most efficient is c \(= \sigma_{22} / (\sigma_{21}+ \sigma_{22}).\)  

To find the value of c that makes the estimator cW1 + (1 - c)W2 most efficient, we need to consider the concept of efficiency in estimation.

Efficiency is a measure of how well an estimator utilizes the available information to estimate the parameter of interest.

In the case of unbiased estimators, efficiency is related to the variance of the estimator.

A more efficient estimator has a smaller variance, which means it provides more precise estimates.

The efficiency of the estimator cW1 + (1 - c)W2 can be determined by calculating its variance.

Since W1 and W2 are independent, the variance of their linear combination can be calculated as follows:

\(Var(cW1 + (1 - c)W2) = c^2 \times Var(W1) + (1 - c)^2 \timesVar(W2)\)

Given that Var(W1) \(= \sigma_{1^2}\) and Var(W2) \(= \sigma_{2^2,\)

where \(\sigma_{1^2} = \sigma_{21]\)  and\(\sigma_{2^2} = \sigma_{22},\) we can substitute these values into the variance equation:

\(Var(cW1 + (1 - c)W2) = c^2 \times \sigma_21 + (1 - c)^2 \times \sigma_{22\)

To find the value of c that minimizes the variance (i.e., maximizes efficiency), we can take the derivative of the variance equation with respect to c and set it equal to zero:

\(d/dc [c^2 \times \sigma_21 + (1 - c)^2 \times \sigma_22] = 2c \times \sigma_{21}- 2(1 - c) \times \sigma_{22} = 0\)

Simplifying the equation:

\(2c \times \sigma_{21} - 2\sigma_22 + 2c \times \sigma_{22} = 0\)

\(2c \times (\sigma_{21} + \sigma_{22}) = 2\sigma_{22}\)

\(c \times (\sigma_{21} + \sigma_{22}) = \sigma_{22}\)

\(c = \sigma_{22} / (\sigma_{21} + \sigma_{22})\)

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Answer:

\(\frac{3}{11}\)

Step-by-step explanation:

assuming the recurring digits are 0.272727.... , then

we require 2 equations with the repeating digits placed after the decimal point.

let x = 0.2727.... (1) ← multiply both sides by 100

100x = 27.2727... (2)

subtract (1) from (2) thus eliminating the repeating digits

99x = 27 ( divide both sides by 99 )

x = \(\frac{27}{99}\) = \(\frac{3}{11}\) ← in simplest form

Answer:

Jimrgrant1 has already answered this correctly, 3/11.

Step-by-step explanation:

I took 1.0 and divided it by 0.272727 to give 3.666666 . . .

I looked for value that would convert this into a whole number when multiplied.  3 times 3.666666 . . . is equal to 11.  

That would mean a fraction equal to 0.272727 . . . would be 3/11

Answer:

Scatter plot attached below.

Step-by-step explanation:

The correlation coefficient is a statistical degree that computes the strength of the linear relationship amid the relative movements of the two variables (i.e. dependent and independent).It ranges from -1 to +1.

If there is any alteration in the value of one variable, the value of the other variable is altered in a fixed proportion. The correlation amid them is known as perfect correlation.

In statistics, a perfect positive correlation is represented by +1 and -1 indicates a perfect negative correlation.

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.

The scatter plot for the correlation between x and y closest to −1 is attached below.

Answer:

No not at all

Step-by-step explanation:

Answer:

Nah

Step-by-step explanation:

I do too, I hate when fractions are included.

Answer:

suiuu

Step-by-step explanation:

2+(485+(8895)&74894

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Answer:

w=14

Step-by-step explanation:

753.95-123.95=630

630 divided by 45=14

So w=14

Lynn Ogen invested $400 at 7% interest rate. The correct choice is A. $400.00.

Let's assume Lynn Ogen invested x dollars at 9% interest rate. According to the given information, she invested $100 less than that at 7% interest rate. Therefore, her investment at 7% is (x - $100).

The interest earned from the investment at 9% is calculated as 0.09x, and the interest earned from the investment at 7% is calculated as 0.07(x - $100).

According to the problem, the total annual interest earned is $73. So we can set up the equation:

0.09x + 0.07(x - $100) = $73

Now we can solve for x:

0.09x + 0.07x - 0.07($100) = $73

0.16x - $7 = $73

0.16x = $73 + $7

0.16x = $80

x = $80 / 0.16

x = $500

Therefore, Lynn Ogen invested $500 at 9% interest rate. To find out how much she invested at 7%, we subtract $100 from that amount:

Investment at 7% = $500 - $100 = $400

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Answer:

5.525

Step-by-step explanation:

1. (7x^(2))/(2x + 6) -:(3x - 5) / (x + 3) Solve Bold

   (7x^(2)) / (2x + 6) -:(3x - 5) / (x + 3)

2. 49x / 8x - (-2x) / 3x Solve Bold

   49x/8x-(-2x)/3x

3. 6.125 - .6 Solve Bold

Answer: 5.525

The calculated length of the container is 70.11 inches

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

Shape = triangular prism

Height = 3 inches

Base = 8 inches

Surface area = 956 square inches

The slant lengths of the triangular sides are calculated using

a² = (8/2)² - 3²

a = √7

The surface area of a triangular prism is calculated as

SA = bh + (a + a + c) * l

So, we have

3 * 8 + (8 + √7 + √7) * l = 956

So, we have

(8 + √7 + √7) * l = 932

Divide

l = 70.11

Hence, the length of the container is 70.11 inches

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Answer:

Step-by-step explanation:

To find the length of the container, we need to determine the area of the two triangular bases.

The formula for the area of a triangle is: Area = (base * height) / 2.

Let's calculate the area of one triangular base:

Base = 8 inches

Height = 3 inches

Area of one triangular base = (8 * 3) / 2 = 12 square inches.

Since there are two triangular bases, the total area of the bases is 2 * 12 = 24 square inches.

We are given that the total area of the container is 956 square inches.

Total area of the container = 2 * Area of one triangular base + Lateral surface area

Lateral surface area = Total area of the container - 2 * Area of one triangular base

Lateral surface area = 956 - 24 = 932 square inches.

The lateral surface area of a triangular prism is given by the formula: Lateral surface area = perimeter of the base * height.

The perimeter of a triangular base is the sum of the lengths of its sides. Since it is an isosceles triangle with a base of 8 inches, the two equal sides will have a length of 8 inches as well.

Perimeter of the base = 8 + 8 + 8 = 24 inches.

Now, we can find the length of the container by rearranging the formula for the lateral surface area:

Lateral surface area = perimeter of the base * height

932 = 24 * length

length = 932 / 24

length ≈ 38.83 inches (rounded to two decimal places)

Therefore, the length of the container is approximately 38.83 inches.

The length of the radius is 5 cm.

The formula for the area of a circle is A = πr^2, where A is the area and r is the radius.

Substituting A = 78.93cm^2, we get:

78.93 = πr²

Solving for r, we get:

r² = 78.93/π

r = √(25)

r = 5 cm (rounded to 2 decimal places)

Therefore, the length of the radius is 5 cm.

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The P-value is 0.0764 and the conclusion is that Since P > α , reject H0.

From the question above, test statistic of Z = −1.42.

The P-value for a left-tailed hypothesis test is the probability that the test statistic will be less than the observed value of the test statistic.

Since it is left-tailed, we find the area to the left of Z. Using the Z-table, we find the probability associated with the test statistic as follows:

P-value = P(Z < −1.42) = 0.0764 (rounded to four decimal places)

If the level of significance is α = 0.10.

Since P-value (0.0764) is greater than the level of significance α (0.10), we fail to reject H0.

Therefore, the correct answer is:

Since P > α, fail to reject H0.

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The ratios that could be the lengths of the two legs in a 30-60-90 triangle are √3:3 (option E) and 12√3 (option D).

In a 30-60-90 triangle, the angles are in the ratio of 1:2:3. The sides of this triangle are in a specific ratio that is consistent for all triangles with these angles. Let's analyze the given options to determine which ones could be the ratio between the lengths of the two legs.

A. √2:√2

The ratio √2:√2 simplifies to 1:1, which is not the correct ratio for a 30-60-90 triangle. Therefore, option A is not applicable.

B. 15

This is a specific value and not a ratio. Therefore, option B is not applicable.

C. √√√√5

The expression √√√√5 is not a well-defined mathematical operation. Therefore, option C is not applicable.

D. 12√3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which simplifies to √3:3. Therefore, option D is applicable.

E. √3:3

This is the correct ratio for a 30-60-90 triangle. The ratio of the longer leg to the shorter leg is √3:1, which is equivalent to √3:3. Therefore, option E is applicable.

F. √2:√5

This ratio does not match the ratio of the sides in a 30-60-90 triangle. Therefore, option F is not applicable. So, the correct option is D. 1 √2.

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Answer:

(a) The inequality that represents the sentence "A number is not more than 21" is "n ≤ 21". This inequality uses the less than or equal to operator (≤) to indicate that the number is not greater than 21.

(b) The inequality that represents the sentence "A number is at least 5" is "n ≥ 5". This inequality uses the greater than or equal to operator (≥) to indicate that the number is 5 or greater.

(c) The inequality that represents the sentence "A number is more than 3/.5" is "n > 3/.5". This inequality uses the greater than operator (>) to indicate that the number is greater than 3/.5.

The total differential of the function \(\(Z = (2x_1 + 3)(x_2 + 9)\)\) is given by:

\(\[\mathrm{d}Z = \frac{\partial Z}{\partial x_1}\mathrm{d}x_1 + \frac{\partial Z}{\partial x_2}\mathrm{d}x_2\]\)

To calculate the total differential, we need to find the partial derivatives of Z with respect to \(\(x_1\)\) and \(\(x_2\)\). Taking the partial derivative of Z with respect to \(\(x_1\)\) while treating \(\(x_2\)\) as a constant, we get:

\(\[\frac{\partial Z}{\partial x_1} = 2(x_2 + 9)\]\)

Next, taking the partial derivative of Z with respect to \(\(x_2\)\) while treating \(\(x_1\)\) as a constant, we have:

\(\[\frac{\partial Z}{\partial x_2} = 2x_1 + 3\]\)

Substituting these partial derivatives into the total differential equation, we get:

\(\[\mathrm{d}Z = (2(x_2 + 9))\mathrm{d}x_1 + (2x_1 + 3)\mathrm{d}x_2\]\)

Therefore, the total differential of the function Z is:

\(\[\mathrm{d}Z = (2(x_2 + 9))\mathrm{d}x_1 + (2x_1 + 3)\mathrm{d}x_2\]\)

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

To use Weighted Least Squares (WLS) for estimating the Linear Probability Model (LPM) the steps are:

Step 1: Estimate the model using OLS and obtain the residuals, u_i.

Step 2: Determine whether all of the P(y|x1,x2) are inside the unit interval. If so, proceed to step 3. If not, adjust them so that all values fit inside the unit interval.

Step 3: Construct the estimated variance h_i = p(x_i) (1 - p(x_i)).

Step 4: Estimate the original model with weights equal to 1/ h_i.

Thus, the correct answer is True.

Suppose, for some i, y^i = −2.

Although WLS involves multiplying observation i by 1/ h_i, the WLS method will be viable without any further adjustments, this statement is True.

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Answer: 2

sqrt 41

Step-by-step explanation:

distance formula is just d=√((x2 – x1)² + (y2 – y1)²)

√(-2+8)^2+(-5-3)^2

√(-10)^2+(-8)^2

√100+64

2√41

Answer:

$1.25

Step-by-step explanation:

5 dollars for four pounds

one pound = $5 / 4 = $1.25

Answer: 80 cents

Step-by-step explanation: Divide 4 & 5 and get 0.8

To check your answer just multiply 0.8 and 5 which equals 4

So 1 lb cost 80 cents

Answer: A variable

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Answer:

Par value = 1000

Price of bond = 1000/(1+29%) =775.19

Expected Value of Bond = 50%*1000 +50%*0 = 500

The Expected yield = (500-775.19)/775.19 = -35.50%

Step-by-step explanation:

Answer:

Number line with open circle on 2 and shading to the right

Step-by-step explanation:

this is showing that it has to be greater than two and is going up on the number line

Answer:

CD = 5

Step-by-step explanation:

Using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = C (4, 7 ) and (x₂, y₂ ) = D (7, 11 )

CD = \(\sqrt{(7-4)^2+(11-7)^2}\)

     = \(\sqrt{3^2+4^2}\)

     = \(\sqrt{9+16}\)

     = \(\sqrt{25}\)

     = 5

The value of z-stat is -0.6721.

What is z stat?

The relationship between a value and the mean of a group of values is quantified by a Z-stat. The Z-stat is calculated using standard deviations from the mean. When a data point's Z-stat is 0, it means that it has the same score as the mean.

One standard deviation from the mean would be indicated by a Z-stat of 1.0. Z-stats can be positive or negative; a positive value means the score is above the mean, while a negative value means it is below the mean.

Solution Explained:

We use the formula,

\(z = \frac{P - \pi }{\sqrt{\frac{\pi (1-\pi )}{200} }}\), where P is the observed proportion, π is the hypothesized proportion

Therefore, P = 42/200 = 0.21 & π = 23/100 = 0.23

Putting the values in

\(z = \frac{0.21 - 0.23 }{\sqrt{\frac{0.23 (1-0.23)}{200} }}\)

After calculating, z-stat is therefore equal to -0.6721

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Answer:

1. geometric (common ratio is -1/4)

2. neither (no common ratio or common difference)

3. arithmetic (common difference is -13)

Answer:

x = 27

Step-by-step explanation:

The angle at any point on a straight line is 180 degrees.

The middle line over there is creating a right angle which is 90 degrees.

This must mean that both sides are 90 degrees.

3x+9 = 90

3x = 81

x = 27