a car manufacturer wants to learn more about the brand preferences of electric car owners. there are millions of electric car owners in the world. who should the company survey? 1 point the entire population of electric car owners a sample of car owners who have owned more than one electric car a sample of all electric car owners a sample of car owners who most recently bought an electric car

The dimensions of the rectangle are 10 feet (length) and 8 feet (width).

To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,

follow these steps:

1. Let the length of the rectangle be L feet and the width be W feet.

2. According to the given information, W = L - 2.

3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.

4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).

5. Solve the quadratic equation: 80 = L² - 2L.

6. Rearrange the equation: L² - 2L - 80 = 0.

7. Factor the equation: (L - 10)(L + 8) = 0.

8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).

9. Substitute L back into the equation for W: W = 10 - 2 = 8.

So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).

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Given that cos(t) = -6/13 and t is in the 4th quadrant, we can determine the values of sin(t), sec(t), csc(t), tan(t), and cot(t) using trigonometric identities. In the 4th quadrant, both sine and cosine are negative. Therefore, sin(t) will also be negative. Using the Pythagorean identity sin^2(t) + cos^2(t) = 1, we can solve for sin(t): sin^2(t) + (-6/13)^2 = 1 sin^2(t) = 1 - 36/169

sin(t) = -√(169/169 - 36/169) = -√(133/169) = -√133/13

Secant is the reciprocal of cosine, so sec(t) = 1/cos(t):

sec(t) = 1/(-6/13) = -13/6

Cosecant is the reciprocal of sine, so csc(t) = 1/sin(t):

csc(t) = 1/(-√133/13) = -13/√133

Tangent is the ratio of sine to cosine, so tan(t) = sin(t)/cos(t):

tan(t) = (-√133/13) / (-6/13) = √133/6

Cotangent is the reciprocal of tangent, so cot(t) = 1/tan(t):

cot(t) = 1 / (√133/6) = 6/√133

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The total recruiting cost is $135,492.35.

In order to get the total recruiting cost, we must  add up all the expenses incurred during the hiring process.

Expenses:

The advertising expense was $12,816.40

Moving expense was $15,419

Real estate broker's fee was $38,430 (7% of $549,000).

The total cost for these expenses is $66,665.40.

The agency fee, 25% of Henry Little's first-year salary will give us an agency fee of $63,690 (254,760 * 1/4).

We will add up the travel costs for the three candidates who were interviewed.

Hakeem Golden's travel cost was $1,948.75

Nancy Cooper's was $1,516.40

Henry Little's was $1,671.80.

The total travel cost is $5,136.95.

The total recruiting cost will be:

= $66,665.40 + $63,690 + $5,136.95.

= $135,492.35

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Answer: -3+x<2

Step-by-step explanation: can't be greater than 2.

Answer:

$43.77

Step-by-step explanation:

(58.36)(.75)

43.77

Answer:

$43.77

Step-by-step explanation:

Because 3/4 is just 3 divided by 4, we can divide 58.36 by 4 and multiply that by three.

We get: \(\frac{58.36}{4}\)×3, or 14.59×3

From this, we get $43.77

The nearest whole number after rounding is, 14

Rounding a number to the nearest tenth means finding the nearest multiple of 0.1.

To do this, you need to look at the digit in the hundredths place (the second digit after the decimal point) of the number you want to round.

If that digit is 5 or greater, you round the number up by adding 0.1 to the nearest whole number.

If that digit is 4 or less, you round the number down by leaving the nearest whole number unchanged.

For example, rounding 3.456 to the nearest tenth gives 3.5, while rounding 3.444 to the nearest tenth gives 3.4.

Given that,

The decimal number  13.5,

after using rules of rounding,

it can be rounded as 14

Hence, the nearest whole number is 14

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Answer:

5^8/5^6 = 5^(8-6) = 5^2 = 25. Therefore, 5^8/5^6 simplified to a single power of 5 is 25.

Step-by-step explanation:

Answer:

the answer for that is 5^6-3 = 5^3 = 125

Step-by-step explanation:

The population of student course evaluations has a mean that is not equal to 59.

State the null and alternative hypotheses:

Null Hypothesis: The population mean is equal to 59.

Alternative Hypothesis: The population mean is not equal to 59.

Now, we need to determine the test statistic and critical value.

Since our sample size is greater than 30,

we can use a Z-test.

The formula for the Z-score is:

⇒ Z = (x - μ) / (σ / √(n))

Where x is the sample mean,

μ is the hypothesized population mean,

σ is the population standard deviation (which we do not know),

And n is the sample size.

Since we do not know the population standard deviation,

Use the sample standard deviation as an estimate.

⇒ s = √(sum(xi - x) / (n - 1))

      = √((383-59) + ... ) / (99-1)

      = 18.97

⇒ Z = (x - μ) / (s / √(n))

       = (383 - 59) / (18.97 / √(99))

       = 20.22

The critical value for a two-tailed test at a 0.05 significance level is ±1.96. Since our test statistic (20.22) is outside the critical region,

we can reject the null hypothesis.

Therefore,

We can conclude that there is sufficient evidence to support the claim that the population of student course evaluations has a mean that is not equal to 59.

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The expected correlation between the supply of a commodity (x) and the price of a commodity (y) depends on the nature of the commodity and market dynamics. However, in general, we would expect a **negative correlation** between the supply of a commodity and its price. Correct option is C.

The law of supply states that as the supply of a commodity increases, assuming demand remains constant, the price tends to decrease. This is because an increase in supply leads to a higher quantity of the commodity available in the market, potentially causing an excess supply or surplus. In such situations, suppliers may lower prices to attract buyers and reduce their inventory.

Conversely, when the supply of a commodity decreases, assuming demand remains constant, the price tends to increase. A decrease in supply results in a lower quantity available in the market, potentially leading to a scarcity or shortage. In such scenarios, suppliers may increase prices to maximize their profits due to the limited availability of the commodity.

It's important to note that real-world markets can be influenced by various factors, including changes in demand, production costs, technological advancements, government policies, and market competition, which can complicate the relationship between supply and price. Nonetheless, the general expectation is that a decrease in supply tends to lead to an increase in price, and an increase in supply tends to lead to a decrease in price, indicating a negative correlation.

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The speed of the river is ...

.. (40 m/min)*(60 min/h)*((1 km)/(1000 m)) = 2.4 km/h

Here, we have,

speed = distance/time

Let d represent the distance between the ports. Let s represent the speed of the ship.

Downstream, we have

.. s +2.4 = d/4.5

.. s = d/4.5 -2.4

Upstream, we have

.. s -2.4 = d/6/3

.. s = d/6.3 +2.4

Now, we have the speed of the ship represented two ways. We assume the speed of the ship doesn't vary. so these are equal.

.. (d/6.3) +2.4 = (d/4.5) -2.4

.. 4.8 = d(1/4.5 -1/6.3) = d(4/63) . . . . . rearrange and simplify

.. 75.6 = d . . . . . . . . . . . . . . . . . . . . . . .multiply by 63/4

The distance between the two ports is 75.6 km.

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Answer:

y = 51.32º

Step-by-step explanation:

z = 180 - 47 - 90

z = 43º

sin43 = opp/hyp

sin43 = 35/y

y = 35/sin43

y = 51.32º

Answer:

B

Step-by-step explanation:

Moving it to the right one unit and down one unit, you would have the answer be (x + 1, y-1) because moving it to the right is moving it in the direction of the positive numbers and moving it down is moving it in the direction of the negative numbers.

The type of transformation in this problem is given as follows:

Vertical translation.

The four translation rules are defined as follows:

For this problem, we have a translation of 2 units up, which is called a vertical translation.

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Using the concepts of area of rectangle, we got that  72 feet  is the the least amount of fencing he can use to create the area for his sheep.

Lets, suppose that the length of rectangle as x feet,

and width of rectangle as y feet.

So perimeter of rectangle as 2×( length + breadth)

We are given perimeter of rectangle as 72 feet

So, length of two sides of rectangle + width of rectangle=72feet.

=>2x+y=72 feet----------(eq1)

Now, we know that area of rectangle is given by =(length × breadth),or

=>(x × y)=20000

Putting values of y from eq1,we get

=>x × (72-2x)=20000

=>72x-2x²=20000

We need to find the least amount of fencing, so we find the local minima by using the differentiation

=>d(72x)/dx-d(2x²)/dx=d(20000)/dx

=>72-4x=0

=>x=18feet

Therefore, y=72-2×18=72-36=36feet

Hence, length of rectangle is 18 feet, and width is 36 feet

Therefore, length of fencing is =2x+y=2×18+36=72 feet.

Hence, if a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. he wants the area to be 20,000 square feet, then the least amount of fencing he can use to create the area for his sheep is 72 feet.

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(Complete question) is:

a farmer is enclosing a rectangular area for his sheep to graze, where one side will be a wall that already exists. Perimeter of rectangle is given as 72 feet. He wants the area to be 20,000 square feet. what is the least amount of fencing he can use to create the area for his sheep?

Answer:

8, 4, 7

Step-by-step explanation:

The sequence is going backwards from 9 by adding and subtracting.

1, 10, 2, 9, 3, ___, ___, ___

11 - 10 = 1

1 + 9 = 10

10 - 8 = 2

2 + 7 = 9

9 - 6 = 3

3 + 5 = 8

8 - 4 = 4

4 + 3 = 7

Hope that helps.

Final Answer: \(1728\) inches

Steps/Reasons/Explanation:

Question: What is the given amount converted to the given units 144 ft; inches?

Formula to convert feet to inches: Multiply the length value by 12.

Steps: Multiply 144 by 12

\(144\) × \(12\) = \(1728\) inches

~I hope I helped you :)~

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

The proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips can be determined by finding the area under the normal distribution curve to the right of the mean.

To find this proportion, we can use the z-score formula:
z = (x - mean) / standard deviation

In this case, we want to find the proportion of bags that contain more than 12 ounces, so x = 12 ounces.

z = (12 - 12.5) / 0.2
z = -2.5 / 0.2
z = -12.5

Next, we need to find the cumulative probability associated with the z-score. We can use a standard normal distribution table or a calculator to find this probability.

Looking up the z-score of -12.5 in the table or using a calculator, we find that the cumulative probability is approximately 0.

Therefore, the proportion of 12-ounce bags that contain more than the advertised 12 ounces of chips is 0.

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Answer:

3

Step-by-step explanation:

Substitute 2 into to equation. 4 times 2 is 8 and 8 -5 =3.

Answer:

F(2)=3

Step-by-step explanation:

The covariance between the number of coins and the value of the coins is 240.

The covariance between the number of coins (N) and the value of the coins (V) can be calculated as

Cov(N, V) = Cov(n nickels + n dimes, 5n nickels + 10n dimes)

= 5 Cov(n nickels, n nickels) + 10 Cov(n nickels, n dimes) + 5 Cov(n dimes, n nickels) + 10 Cov(n dimes, n dimes)

= 5 * Var(n nickels) + 10 * Cov(n nickels, n dimes) + 5 * Cov(n dimes, n nickels) + 10 * Var(n dimes)

= 5 * 8 + 10 * 5 + 5 * 5 + 10 * 10

= 40 + 50 + 50 + 100

= 240

So the covariance between the number of coins and the value of the coins is 240.

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Answer:

Move all terms that don't contain  y  to the right side and solve.

y  =  3  +  4 x

Answer:

666666912101

Step-by-step explanation:

Add it

Answer:

6.666669121  x 10 to the 11th power

Step-by-step explanation:

The circumference of the circle with a radius of 18 inches is 36π inches.

To find the circumference of a circle, you can use the formula C = 2πr, where C represents the circumference and r is the radius. Given that the radius of the circle is 18 inches, we can substitute this value into the formula to calculate the circumference.

C = 2π(18)

C = 36π

This means that if you were to measure around the outer edge of the circle, it would be approximately 113.04 inches (since π is approximately 3.14159).

It's important to note that the value of π is an irrational number, meaning it cannot be expressed as a finite decimal or a fraction. Therefore, it is commonly represented by the Greek letter π.

In practical terms, when working with circles and calculations involving circumference, it is generally more accurate and precise to keep π in the formula rather than using an approximation.

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Answer:

Number 3 . 5x-8y=-4

Step-by-step explanation:

Answe

4h/5

Step-by-step explanation:

Answer:

\(\boxed{\tt{x=13}}\)

\(\boxed{\tt{x=1}}\)

Step-by-step explanation:

\(\textsf{We are asked to identify correct values for x.}\)

\(\textsf{We are given an equation and 4 values of x.}\)

\(\textsf{Let's start by Substituting.}\)

\(\textsf{Replace the value of x with a given value, or known value.}\)

\(\tt(x-7)^{2}=36\)

\(\Large\underline{\textsf{Substitute 13 into x:}}\)

\(\tt(13-7)^{2}=36\)

\(\tt6^{2}=36\)

\(\tt36=36 \ \checkmark\)

\(\Large\underline{\textsf{Substitute 1 into x:}}\)

\(\tt(1-7)^{2}=36\)

\(\tt-6^{2}=36\)

\(\textsf{Remember that -6 is being multiplied by itself. Hence, the product is positive.}\)

\(\tt36=36 \ \checkmark\)

\(\Large\underline{\textsf{Substitute -29 into x:}}\)

\(\tt(-29-7)^{2}=36\)

\(\tt(-36)^{2}=36\)

\(1296 \neq 36\)

\(\Large\underline{\textsf{Substitute 42 into x:}}\)

\(\tt(42-7)^{2}=36\)

\(\tt35^{2}=36\)

\(\tt1225 \neq 36\)

\(\large\underline{\textsf{The correct solutions are;}}\)

\(\boxed{\tt{x=13}}\)

\(\boxed{\tt{x=1}}\)

The equation to be solved on the interval [0, 2) is 2cos²(x) + 3cos(x) + 1 = 0. To solve this equation, we can substitute u = cos(x) and rewrite the equation as a quadratic equation in u.

Replacing cos²(x) with u², we have 2u² + 3u + 1 = 0.

Next, we can factorize the quadratic equation as (2u + 1)(u + 1) = 0.

Setting each factor equal to zero, we get two possible solutions: u = -1/2 and u = -1.

Now we substitute back u = cos(x) and solve for x.

For u = -1/2, we have cos(x) = -1/2. Taking the inverse cosine or arccosine function, we find x = π/3 and x = 5π/3.

For u = -1, we have cos(x) = -1. This occurs when x = π.

Therefore, the solutions on the interval [0, 2) are x = π/3, x = 5π/3, and x = π.

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Answer:

Step-by-step explanation:

Answer:

25°

Step-by-step explanation:

180-115 = 65=x

65+90 = 155

180-155 = 25

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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A Type II error in this setting is the mean amount of \(CO_2\) emitted by the new fuel is actually lower than 89 kg but they fail to conclude it is lower than 8.9 kg. Option B is right choice.

In hypothesis testing, a Type II error occurs when we fail to reject a false null hypothesis. In this case, the null hypothesis is that the mean amount of  \(CO_2\) emitted by the new gasoline is 8.9 kg, while the alternative hypothesis is that the mean is less than 8.9 kg.

Therefore, a Type II error would occur if the mean amount of \(CO_2\) emitted by the new fuel is actually lower than 8.9 kg, but the test fails to reject the null hypothesis that the mean is 8.9 kg.

This means that the test fails to detect the difference in CO2 emissions between the new fuel and the standard fuel, even though the new fuel has lower  \(CO_2\) emissions.

Option B is the correct answer because it describes this scenario - the mean amount of  \(CO_2\) emitted by the new fuel is actually lower than 8.9 kg but they fail to conclude it is lower than 8.9 kg. This is a Type II error because the test fails to detect a true difference between the mean    \(CO_2\) emissions of the new fuel and the standard fuel.

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The missing option are

a.The mean amount of CO2 emitted by the new fuel is actually 8.9 kg but they conclude it is lower than 8 9 kg

b. The mean amount of CO2 emitted by the new fuel is actually lower than 89 kg but they fail to conclude it is lower than 8.9 kg

c. The mean amount of CO2 emitted by the new fuel is actually 8.9 kg and they fail to conclude it is lower than 8.9 kg

d. The mean amount of CO2 emitted by the new fuel is actually lower than 8 9 kg and they conclude it is lower than 8 9 kg