A software company is interested in improving customer satisfaction rate from the 51% currently claimed. the company sponsored a survey of 163 customers and found that 94 customers were satisfied. what is the test statistic z?

The probability that two randomly selected trailers, one produced by each company, will combine to less than three minutes is;

P(z < (180 - 270)/70)

Mean of company 1; μ_x = 150

Mean of company 2; μ_y = 120

Standard deviation of company 1; σ_x = 40 seconds

Standard deviation of company 2; σ_y = 30 seconds

Total combined mean; μ_x+y = 150 + 120 = 270

Total combined standard deviation; σ_x+y = 40 + 30 = 70 seconds

Now, the formula for z-score is;

z = (x' - μ)/σ

Since we want to find the probability that two randomly selected trailers, one produced by each company, will combine to less than three minutes. Then; x' = 3 minutes = 180 seconds. Thus, the probability is expressed as; P(z < (180 - 270)/70)

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Answer:

The claim cannot be true because any probability is between 0 and 1

Step-by-step explanation:

Probability is a concept used to mathematically provide a measure or determine the possibility that an event will occur. However, due to the nature of upcoming events, it is almost impossible to predict some events with absolute certainty, therefore, the chance of an event can be predicted based on the likelihood of the event occurring with probability values ranging from 0 to 1 or 0% to 100%. Where a value of 0 or 0% shows that it is certain that the event will not occur, while 1 or 100% indicates that it absolutely certain that an event will occur.

Answer:

12

Step-by-step explanation:

12 is the right answeerrrrrrreedd

The surface can be visualized as a twisted, curved shape that varies with changes in θ and z.

In cylindrical coordinates, a point P is located by its distance r from the origin, its angle θ measured from the positive x-axis in the xy-plane, and its height z above the xy-plane.

The surface 2z = -8x + 9y in cylindrical coordinates needs to express the equation in terms of cylindrical variables r, θ, and z.
To express the equation 2z = -8x + 9y in cylindrical coordinates, we need to eliminate x and y in favor of r and θ. We can do this by using the conversion formulas:
x = r cos(θ)
y = r sin(θ)
Substituting these equations into the original equation gives:
2z = -8(r cos(θ)) + 9(r sin(θ))
Simplifying and rearranging, we get:
r = (2z)/(9sin(θ)-8cos(θ))
This is the desired form for r as a function of θ and z.

Therefore, we can describe the surface 2z = -8x + 9y in cylindrical coordinates as:
r = (2z)/(9sin(θ)-8cos(θ))
It's important to note that this equation defines a surface rather than a curve, since there are multiple values of r for each pair of (θ, z) that satisfy the equation.

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To describe the surface 2z = -8x + 9y in cylindrical coordinates in the form r=f(θ,z), we first need to convert the equation from Cartesian coordinates to cylindrical coordinates.

We know that x = r cosθ and y = r sinθ, so substituting these into the equation, we get 2z = -8r cosθ + 9r sinθ. We can simplify this to z = (-4/9)r cosθ + (9/2)r sinθ. This equation shows that the surface can be described as a function of r, θ, and z, where r is the cylindrical radius, θ is the cylindrical angle, and z is the cylindrical height. Therefore, the equation in cylindrical coordinates would be r = f(θ,z) = (-4/9)z cosθ + (9/2)z sinθ.  we need to convert the Cartesian coordinates (x, y, z) into cylindrical coordinates (r, θ, z). Here's a step-by-step explanation:

1. Recall the conversion equations: x = r*cos(θ), y = r*sin(θ), and z = z.
2. Substitute these equations into the given surface equation: 2z = -8(r*cos(θ)) + 9(r*sin(θ)).
3. Rearrange the equation to express r as a function of θ and z: r = (2z)/(9*sin(θ) - 8*cos(θ)).
Now, the surface 2z = -8x + 9y has been successfully converted into cylindrical coordinates as r = f(θ, z) = (2z)/(9*sin(θ) - 8*cos(θ)).

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To determine the rate at which the car dealership sold cars, we need to divide the total number of cars sold by the number of months. In this case, the dealership sold 216 cars in four months.

To calculate the rate, we divide the total number of cars sold (216) by the number of months (4). The formula for calculating rate is:
Rate = Total quantity / Time
Substituting the given values, we have: Rate = 216 cars / 4 months
Simplifying this expression, we find: Rate = 54 cars per month
Therefore, the car dealership sold cars at a rate of 54 cars per month.

To find the rate at which the dealership sold cars, we divide the total quantity (216 cars) by the time period (4 months). This calculation gives us the average number of cars sold per month. By performing the division, we find that the dealership sold cars at a rate of 54 cars per month. This means that, on average, the dealership sold 54 cars each month over the four-month period.

The rate provides information about the speed or frequency at which the cars were being sold, giving us an understanding of the dealership's sales performance over time.

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The rule of inference being used here is Modus Tollens. Modus Tollens is a valid deductive argument form that states if a conditional statement "If P, then Q" is true and the consequent Q is false, then the antecedent P must also be false.

In the given scenario, the conditional statement is "If the guard dog doesn't know a person, then it barks."

The observation that the dog didn't bark (Q is false) leads to the conclusion that the dog must have known the person (the antecedent P is false).

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Answer: 7%

(Hope this is right.)

Step-by-step explanation:

Let's solve this using the information we have and an equation.

Shane: $32,000 - (Given)

Theresa: 18,000+14x, if x=1,160 - (Given)

---------------------------------------------------------------

Step two: (Theresa) 14(1,160) =16,240 (Algebra)

Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.

---------------------------------------------------------------

Finally,

They're asking for how much more she paid for her car as a percentage of what Shane paid.

34,240-32,000=2,240 and

2,240/32,000=0.07

0.07x100=7

Answer 7% more than what Shane paid.

Given, m<7 = 108°

To find, m<3

Since both the given angles are on the same side of transversal, thus there sum is 180°

Thus, m<7 + m<3 = 180°

108° + m<3 = 180°

m<3 = 180° - 108°

m<3 = 72°

Hope this helps :)

The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .

The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .

In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse

Cos ( angle ) = 17 / 27

Angle = Cos ⁻ ¹ ( 17 / 27 )

Angle = 50. 98 degrees

Angle = 51 degrees

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Answer:

60 miles

Step-by-step explanation:

There are two ways to solve this:

1. They tell you that you drive at 60 miles an hour, so , in an hour, you drive 60 miles.

2. Is the way you should use in the future:

Distance = speed * time

Substitute the speed and times.

Distance = 60 * 1

Thus, you drive 60 miles in one hour

The distance that should be traveled be 60 miles

As we know that

\(Speed = \frac{distance}{time}\)

Here

speed be 60 miles per hour

And, the time should be one hour

So, the distance should be

\(= 60\ miles\ per hour \times one\ hour\)

= 60 miles

Therefore the distance that should be traveled be 60 miles

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Answer:

1. yes

Step-by-step explanation:

2. no or not enough

3.no.

4.no or not enough

5. yes

6. no or not enough...

I hope this helps. (I'm not sure what nit enough info means.)

Answer:

1. No

2. No

3. Yes

4. Not enough info

5. No enough info

6. Yes

I really hope this helps! Good luck!

If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

Let P represent the center point

First step is to calculate or to determine the central angle

Central angle=360°/6

Central angle=60°

Second step is to calculate the degree that hexagon rotate if it  rotate counterclockwise about its center

Hence,

∠KPO=2×60°

∠KPO=120°

Therefore If  the hexagon is rotated counterclockwise about its center so that the vertex at O is moved to K. The amount of  degrees that the hexagon rotate is: 120°.

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A function \(P(t) = 170.(1.30)^t\)  that gives the deer population P(t) on the reservation t years from now

We were told there were 170 stags on reservation. The number of deer is increasing at a rate of 30% per year.

We could see the deer population grow exponentially since each year there will be 30% more than last year.

Since we know that an exponential growth function is in form:

\(f(x) = a*(1+r)^x\)

where a= initial value, r= growth rate in decimal form.

It is given that a= 170 and r= 30%.    

Let us convert our given growth rate in decimal form.

\(30 percent = \frac{30}{100} = 0.30\)

Upon substituting our given values in exponential function form we will get,

    \(P(t) = 170.(1+0.30)^t\)

⇒ \(P(t)= 170.(1.30)^t\)

Therefore, the function \(P(t) = 170.(1.30)^t\) will give the deer population P(t) on the reservation t years from now.

Complete Question:

There are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year. Write a function that gives the deer population P(t) on the reservation t years from now.

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Answer:

I would say yes they are

Step-by-step explanation:

because you multiply the small one's numbers by 2 and get the big triangle

Answer:

they are similar! :)

Step-by-step explanation:

the best way to figure this out is just by looking to see if they have anything in common. in this case, the larger figure is just two times more on each side than the smaller figure.

The possible values are -

(a²,b²) = p

(a²,b) = p if p|-r and (a²,b) = p² if p|r

(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r

What is gcd?

The greatest common factor (GCF) that divides two or more numbers is known as the greatest common divisor (GCD). The highest common factor is another name for it (HCF).

Since (a, b) = p it can be written a = pr and b = ps where r and s are integers such that (r, s) = 1.

Then a² = p²r².

Then by Theorem 1.7, (a²,b) = (p²r²,ps) = p(pr²,s).

By Theorem 1.8, (r²,s) = 1 .

Thus, there are two cases to consider: if p|s then, (a²,b) = p², and if p|-s then (pr²,s) = 1 (Again by Theorem 1.8)  so that (a²,b) = p in that case.

Thus, there are two cases for (a²,b): namely p or p².

The same analysis shows that (a³,b) must be either p, p² or p³ depending on the power of p that divides b.

Analyze (a²,b³) as follows.

Using the notation already introduced, and

Theorem 1.7, it is obtained that (a²,b³) = (p²r²,p³s³) = p²(r²,ps³).

Since, (r, s) = 1, Theorem 1.8 shows that (r²,s³) = 1.

Therefore, there are two possibilities for (a²,b³) -

(a²,b³) = p² if p|-r and (a²,b³) = p³ if p|r.

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When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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ANSWER

I believe that the amount of the instant rebate is $30.  X represents the price of the bike, and 0.09 is the sales tax.

So if the bike cost $100:

0.09(100) + (100-30) = 9 + 70 = $79

Although I think I would want them to tax the bike after the instant rebate and not on the original price.

If I'm wrong about the instant rebate then it would be 1.09x-30.  Hope this helps.

The answer of word problem using equation is the number of Nickel =  20 and number of Quarters = 7

A word problem is a type of mathematics exercise where the majority of the issue's context is supplied in spoken language as opposed to mathematical notation.

A math word problem is a question that is phrased as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world."

In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

The total amount $2.75  = 2.75*100 = 275 cents is there in Kiran's Pocket.

Total number of coins in total = 27

1 nickel = 5 cents

1 quarter = 25 cents

The number of nickel is n and number of Quarters is q.

So, 5n + 25q = 275

The equation of the number of coins in the pocket is

n + q = 27

solving the two equations

5n + 25q - 5n - 5q = 275 - 135

20q = 140

q = 7

The number of Nickel = 27 - q = 27 - 7 = 20

The number of Quarters = 7

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90 mm Hg is Zigg's mean arterial pressure.

Here's the formula for calculating MAP: MAP = (CO x SVR) + CVPR

where:

CO stands for cardiac output (measured in liters per minute).

SVR stands for systemic vascular resistance (measured in mm Hg/L/min).

CVPR stands for central venous pressure (measured in mm Hg).

Now, let's get started with the calculation of MAP.

First, let's calculate CO (cardiac output): CO = HR x SV

where:

HR is heart rate (measured in beats per minute).

SV is stroke volume (measured in milliliters per beat).

CO = 140 bpm x 95 mlCO = 13300 ml/minCO = 13.3 L/min

Next, we need to calculate SVR (systemic vascular resistance).

The formula for calculating SVR is: SVR = (MAP - CVP) / CO

where:

MAP is mean arterial pressure (measured in mm Hg).

CVP is central venous pressure (measured in mm Hg).

CO is cardiac output (measured in liters per minute).

Since we don't have CVP in this question, let's assume it to be zero.

SVR = (MAP - 0) / 13.3 L/minSVR = MAP / 13.3 L/min

Now, we can rearrange the above equation to calculate

MAP:

MAP = SVR x 13.3 L/minMAP = 60 mm Hg (diastolic pressure) + 1/3 (systolic pressure - diastolic pressure)MAP = 60 mm Hg + 1/3 (150 mm Hg - 60 mm Hg)MAP = 60 mm Hg + 30 mm HgMAP = 90 mm Hg

Therefore, Ziggy's mean arterial pressure (MAP) is 90 mm Hg.

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Answer:

True

Step-by-step explanation:

The left side  22  is equal to the right side  22 , which means that the given statement is always true.

Step-by-step explanation:

If we want to prove that x is equal to seven, we should first solve the equation for x so:

2x + 8 = 5x - 13

We should first add 13 on both sides and subtract 2x from both sides:

2x + 8 + 13 - 2x = 5x - 13 + 13 - 2x

21 = 3x

We can then divide both sides by 3 to get:

x = 7

The best description of the passenger's linear and angular velocity while passing point A is option d) Linear Velocity Constant, Angular Velocity Constant.

When the passenger is at point A, which is the highest point of the ride, the seat exerts a normal force with a magnitude of 0.8F, where F represents the person's weight. This normal force provides the necessary centripetal force to keep the person moving in a circular path. At this point, the passenger's linear velocity remains constant, as there is no change in speed.

Since the passenger releases a small rock without hitting anything, there are no external torques acting on the system. Therefore, according to the law of conservation of angular momentum, the passenger's angular velocity remains constant as well. The angular velocity is determined by the rotational motion of the wheel and does not change as the passenger passes point A.

Therefore, the passenger's linear velocity is constant, and their angular velocity is also constant while passing point A, resulting in the most accurate description being d) Linear Velocity Constant, Angular Velocity Constant.

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The surface area of the new single-serving soup can, with a volume ratio of 24:8, will be approximately 11.164 square inches.

To determine the surface area of the new single-serving soup can, we can use the concept of ratios and proportions.

Let's assume the radius of the large can is represented by R and the radius of the single-serving can is represented by r.

The volume of a cylinder can be calculated using the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.

We know that the large can has a volume of 24oz, so we have:

24 = πR^2h

Now, we need to find the height of the single-serving can. Since the large can and the single-serving can have the same height (we assume), we can set up a ratio of their volumes:

24/8 = πR^2h / πr^2h

Simplifying the equation, we have:

3 = (R^2h) / (r^2h)

Since the height cancels out, we can rewrite the equation as:

3 = R^2 / r^2

To find the ratio of the surface areas, we square both sides of the equation:

9 = (R^2 / r^2)^2

Now, we can find the surface area ratio:

100.48 / A = 9

Solving for A (the surface area of the single-serving can), we have:

A = 100.48 / 9

Calculating the value, we find that the new single-serving surface area will be approximately 11.164 in².

Therefore, the new single-serving soup can will have a surface area of approximately 11.164 square inches.

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Square is consider as the king of all the quadrilaterals.

Explanation:

Square is consider as the king of all the quadrilaterals:

Therefore, square shape is consider as the king of all the quadrilaterals.

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The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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Answer:

When x = 0, then y = -2

When y = 0, then x = 4

Step-by-step explanation:

We are given with the following equation;

x - 2y = 4

Now, we have to find the respective values of x and y for each value of x = 0 and y = 0.

Firstly, putting the value of x = 0;

x - 2y = 4

0 - 2y = 4

-2y = 4

y = \(\frac{4}{-2}\)  = -2

This means that when x = 0, then y = -2.

Similarly, putting the value of y = 0;

x - 2y = 4

\(x-(2\times 0)=4\)

x - 0 = 4

x = 4

This means that when y = 0, then x = 4.