we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number. this tells us that

Answer:

-8.5 and 11.5

Step-by-step explanation:

let 'n' and 'm' equal the two numbers

we can write this equation:  n + m = 3

we can also write 'n = m + 20'

now to solve we can substitute 'm+20' for 'n' in the first equation:

m+20 + m = 3

combine like terms:

2m + 20 = 3

2m = -17

m = -8.5

n = 11.5

There are a few statements that could be considered true of this probability, but the most accurate answer would depend on the specific details of the experiment. Here are some possibilities:

The experiment is designed to compare the gas mileage Polly gets when she uses the more expensive gasoline to the gas mileage she gets when she uses the cheaper gasoline.

The experiment is a randomized controlled trial, in which Polly randomly assigns herself to use one type of gasoline for 3 months and then the other type of gasoline for the next 3 months.

The experiment is an observational study, in which Polly simply observes how her gas mileage changes when she switches from one type of gasoline to the other, without any attempt to control other variables.

The experiment may not be able to provide a definitive answer to Polly's question, since there may be other factors that affect gas mileage that are not controlled for in the experiment (e.g. driving habits, weather conditions, etc.).

To know more about probability,

https://brainly.com/question/30034780

#SPJ11

Answer:

The answer is 576 seats

Step-by-step explanation:

3 rows x 12 seats = 36 seats in one section

36 seats in one section x 16 sections = 576 seats

The vertex of the quadratic function f(x) = 2x^2 + 4x - 3 is (-1, -5).To find the vertex of a quadratic function, calculate the x-coordinate using x = -b/2a and then substitute it back into the equation to find the y-coordinate. The resulting coordinates give you the vertex of the graph.

To determine the vertex of a quadratic function, we can use the formula x = -b/2a, where the quadratic function is in the form f(x) = ax^2 + bx + c.

The vertex of the quadratic function is the point (x, y) where the function reaches its minimum or maximum value, also known as the vertex.

In the equation f(x) = ax^2 + bx + c, we can see that a, b, and c are coefficients that determine the shape and position of the quadratic function.

To find the vertex, we need to determine the x-coordinate using the formula x = -b/2a. The x-coordinate gives us the location along the x-axis where the vertex is located.

Once we have the x-coordinate, we can substitute it back into the equation f(x) to find the corresponding y-coordinate.

Let's consider an example. Suppose we have the quadratic function f(x) = 2x^2 + 4x - 3.

Using the formula x = -b/2a, we can find the x-coordinate:

x = -(4) / 2(2)

x = -4 / 4

x = -1

Now, we substitute x = -1 back into the equation f(x) to find the y-coordinate:

f(-1) = 2(-1)^2 + 4(-1) - 3

f(-1) = 2(1) - 4 - 3

f(-1) = 2 - 4 - 3

f(-1) = -5

Therefore, the vertex of the quadratic function f(x) = 2x^2 + 4x - 3 is (-1, -5).

In general, to find the vertex of a quadratic function, calculate the x-coordinate using x = -b/2a and then substitute it back into the equation to find the y-coordinate. The resulting coordinates give you the vertex of the graph.

Learn more about Equation here,https://brainly.com/question/29174899

#SPJ11

Answer:

The theoretical probability of spinning a sum of 9 is 4/36 or 1/9.

Step-by-step explanation:

Answer: 0%

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

A trapezoid only has one pair and parallelogram need two pair.

Answer:

no

Step-by-step explanation:

no because a parallelogram must have at least two opposite parallel lines

A trapezoid only has one

Answer:

8 rides

Step-by-step explanation:

20 + .50x = 24

-20             -20

.50x = 4

/.50    /.50

x = 8

Answer:

8

Step-by-step explanation:

If you have $24 and you buy a $20 ticket to get in, you are left with four dollars.

Since each ride is $0.50 and that is half a dollar, you can multiply four times two. This gives you eight.

Therefore, you can ride 8 rides :)

\((\stackrel{x_1}{-10}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-10)}}} \implies \cfrac{-9}{2 +10} \implies \cfrac{ -9 }{ 12 }\implies -\cfrac{3}{4}\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{(-10)}) \implies y -4= -\cfrac{3}{4} (x +10) \\\\\\ y-4=-\cfrac{3}{4}x-\cfrac{15}{2}\implies y=-\cfrac{3}{4}x-\cfrac{15}{2}+4\implies {\Large \begin{array}{llll} y=-\cfrac{3}{4}x-\cfrac{7}{2} \end{array}}\)

The correct answer is

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

Given that,

Regarding the subsequent 3 inquiries: A study collected information on how much time 28 randomly chosen high school students and 31 randomly chosen college students spent each day on their cellphones. The researcher is interested in learning whether there is proof that students use their phones for varying amounts of time in high school and college.

Because the samples of college and high school students are independent, the independent samples t-test should be utilized.

The study's research (Claim) aims to ascertain whether students' cell phone usage patterns alter between high school and college.

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

H₀ : μh - μc = 0

H₀ : μh - μc ≠ 0

To learn more about hypotheses click here:

brainly.com/question/18064632

#SPJ4

The proper null and alternative hypotheses are

\(H_{0}\) : μh = μc

\(H_{A}\) : μh - μc

The study's research wants to ascertain whether difference between the time spent by high school students and college students.

The actual test begins by considering two hypothesis i.e. null hypothesis and alternative hypothesis.

Let, H= time spent on the phone by high school students;

C= Time spent on the phone by college students; and

d=H−C

For the independent samples t-test and the stated claim, the proper null and alternate hypotheses are,

\(H_{0} :\) μh = μc  (time spent by high school students is equal to college students)

\(H_{A} :\) μh - μc  (difference between the time spent by high school students and college students)

To learn more about hypotheses click here:

brainly.com/question/18064632

#AAA

Round the given number to the nearest thousand

the answer is 18,000

Answer:

there is 10 dimes and 9 nickles in the jar.

Step-by-step explanation:

Answer:

7 dimes and 15 nickels

Step-by-step explanation:

Let n = number of nickels

d = number of dimes

The value of all the nickels is .05n since each nickel is worth 5 cents and

the value of all the dimes is .10d since each dime is worth 10 cents

Now    n + d = 22    and .05n + .10d = 1.45

          d = 22 - n                  5n + 10d = 145

                                            5n + 10(22 - n) = 145

                                       5n + 220 - 10n = 145

                                               -5n = -75

                                                  n = 15 nickels

           d = 22 - 15 = 7 dimes

Check:  All the nickels are worth 75 cents and all the dimes are worth 70 cents.   75 + 70 = 145 cents or $1.45

Answer:

120

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

6x+18=0

Subtract 18

6x=18

Divide by 6

x=3

Hope I helped, have a nice day :)

The equation which represents total pay P and the number of copies sold N is P = 2300 + 90N and the total pay for 22 copies sells will be $4280.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Total pay = base salary + additional

Total pay = base salary + number of copies × per copy price

P = 2300 + N × 90

P = 2300 + 90N

Now for 22 copies

P = 2300 + 90(22) = $4280

Hence, the equation which represents total pay P and the number of copies sold N is P = 2300 + 90N and the total pay for 22 copies sells will be $4280.

To learn more about the form an equation visit,

https://brainly.com/question/10413253

#SPJ1

Answer:

.15¢

Step-by-step explanation:

1.20$ total divided by 8 and its .15¢

Answer:

1/625

Step-by-step explanation:

simply

(-1/5)^4

1/625

Answer:

The answer is 1/625

Step-by-step explanation:

hope this helps

The length of the third side is 4.

Given information:

A right-angled triangle is provided in the diagram.

So, as per the diagram,

The hypotenuse leg = √(97)

Opposite leg = 9

Let the length of the adjacent leg, which is the third side be x. By the Pythagorean theorem, we have:

x² + 9² = √(97)²

Simplifying the right side, we get:

x² + 81 = 97

Subtracting 81 from both sides, we get:

x² = 16

Apply square root property, we get,

x = +/- 4

Since the length of a side of a triangle must be positive, the length of the third side is 4.

To learn more about the Pythagoras theorem;

https://brainly.com/question/343682

#SPJ1

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

For more such questions on Logarithm:

https://brainly.com/question/31117877

#SPJ8

Answer: All real numbers

Step-by-step explanation:

Edge

To answer this question, we can use the standard normal distribution to find the probability for x > 120. We can proceed as follows:

1. We need to find the z-score for the given raw value of 120.

2. We know that the z-score is given by:

Where

• x is the raw value (x = 120).

• μ is the population's mean. In this case, μ = 109.

• σ is the population standard deviation. In this case, σ = 11.

Therefore, we have that the z-score is:

We can see that the value for z = 1. It means that the value is one standard deviation above the mean of the population.

If we use a cumulative standard normal distribution table, and we find the value for z = 1, we will have a cumulative probability of:

However, we are looking for P(z > 1). Therefore, to find this value, we can proceed as follows:

Therefore:

We need to remember that this value of z is a "transformation" of the value 120 into the standard normal distribution.

In summary, we can say that:

In the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

The domain refers to the set of possible inputs or variables in a given context. In this case, the scatterplot is being created based on the relationship between the time students spent studying and their corresponding test grades. Therefore, the domain in this context would be the number of minutes the students studied (option D).

The domain represents the independent variable, which is the variable that is controlled or manipulated in the analysis. In this scenario, the math teacher wants to analyze the relationship between studying time and test grades, so the number of minutes studied would be the independent variable. The teacher surveys the students to collect data on the time spent studying, and this variable becomes the domain of the scatterplot.

The range, on the other hand, represents the dependent variable, which is the variable that is measured or observed as an outcome or response. In this case, the dependent variable would be the students' test grades. The scatterplot will show how the test grades correspond to the amount of time students studied.

To summarize, in the context of analyzing the relationship between studying time and test grades, the domain of the scatterplot would be the number of minutes the students studied (option D).

For more questions on domain

https://brainly.com/question/13400513

#SPJ8

The calculated profit after 6 years since 2010 is 6.54 million dollars

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

P(t) = 2.1 + 0.5t + 0.04t^2

To calculate P(6), we substitite 6 for t in the function

So, we have

P(6) = 2.1 + 0.5(6) + 0.04(6)^2

Evaluating the expression

So, we have

P(6) = 6.54

Hence, the value of P(6) is 6.54 million dollars

Read mroe about functions at

https://brainly.com/question/10837575

#SPJ1

x times y plus x is equal to

xy + x

= x(y + 1)

Answer:

x (y + 1)

Step-by-step explanation:

x times y plus x

= x × y + x

= xy + x

= x (y + 1)

Hope it helps ⚜

The industry Lerner index is approximately 0.8113. This indicates that the industry has a moderate level of market power in setting prices for its goods.

The industry Lerner index measures the degree of market power that a firm has in setting prices for its goods. It is calculated as the difference between the price a firm charges and the marginal cost of producing an additional unit of output, divided by the price. The formula for the Lerner index is:
Lerner Index = (P - MC) / P

To find the industry Lerner index, we need to know the markup factor used to price goods. In this case, the industry suggests using a markup factor of 5.3.
Let's assume the marginal cost (MC) of producing a good is $10. Using the markup factor, we can calculate the price (P) as:
P = MC * Markup factor
P = $10 * 5.3
P = $53
Substituting these values into the Lerner index formula, we have:
Lerner Index = ($53 - $10) / $53
Lerner Index = $43 / $53
Lerner Index ≈ 0.8113

To know more about Lerner index refer to:

https://brainly.com/question/19091231

#SPJ11

Answer:

a). 3a² + 17a - 1

b). 4y (7y-6)

Step-by-step explanation:

in the second question, we find a number that can divide 28 and 24 without a remainder, which is 4

When the root locus crosses the imaginary axis, it means that the poles of the transfer function have become purely imaginary, and this point represents a change in the stability of the system.

Root locus is a graphical representation of the behavior of the poles of a transfer function in the complex plane as a certain parameter is varied.

The root locus is symmetric about the real axis and the imaginary axis, and it starts at the poles of the open-loop transfer function and ends at the zeros of the open-loop transfer function.

When the root locus crosses the imaginary axis, it means that the poles of the transfer function have zero real part and only an imaginary part. This is an important point in the root locus plot because it signifies a change in the stability of the system.

If the root locus crosses the imaginary axis on the right-hand side, then the system is unstable. On the other hand, if it crosses the imaginary axis on the left-hand side, then the system is stable.

To know more about axis here.

https://brainly.com/question/11957817

#SPJ4

Answer:

$267.7

Step-by-step explanation:

In a case whereby sheri’s cab fare was $32, with a 20% gratuity and no taxes. sheri's write a check to the cab driver for $40, this can be considered as being reasonable amount because it is  $1.60 more to the cab driver.

A gratuity is a sum of money that customers typically give to specific service sector employees, including those in the hotel industry, in addition to the service's base charge for the work they have completed.

Given ; Sheri’s cab fare was $32 and the percentage of gratuity is 20%

amount of gratuity = 20% 0f 32 = 6.40

The fare of the cab  + gratuity = 32 + 6.40 = 38.40

Check to the cab driver for $40 ,  implies ($40 - $38.40)= $1.60 more to the cab driver.

Hence, it is reasonable.

Learn more about amount at;

https://brainly.com/question/11158699

#SPJ1

The researcher should sample approximately 409 students in order to be 98% confident that the true mean GPA is within 0.1 of the sample mean.

To estimate the average GPA of all UCF students with a 98% confidence level and a margin of error of 0.1, we can use the formula:
n = (Z * σ / E)^2
Where:
n = sample size
Z = Z-score for the desired confidence level (98% confidence level corresponds to a Z-score of 2.33)
σ = standard deviation
E = margin of error
Given that the margin of error (E) is 0.1 and the standard deviation (σ) is 0.85, we can substitute these values into the formula:
n = (2.33 * 0.85 / 0.1)^2
Calculating this expression gives us:
n ≈ 20.22^2
n ≈ 408.48

For more such questions approximately

https://brainly.com/question/29985480

#SPJ8