Frances can complete 91 oil changes in 7 days.

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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For the number of small aircraft that arrive during a 75-min period, the expected value if 10 and standard deviation is 3.17.

The expected value of the number of small aircraft that arrive during a 75-minute period is ⇒ E[X] = μ = 8t.

We need to convert the time period to hours,

So, t = 75/60 = 1.25 hours.

So, the expected number of small aircraft arrivals during a 75-minute period is ⇒ E[X] = μ = 8(1.25) = 10,

To find the standard deviation, we know that for a Poisson distribution, the standard deviation(σₓ) is the square root of mean.

So, σₓ = √μ = √8t,

Substituting t = 1.25,

We get,

⇒ σₓ = √8(1.25) = √10 ≈ 3.17,

Therefore, the expected value for number of aircraft is 10, and standard deviation is 3.17.

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The given question is incomplete, the complete question is

Suppose small aircraft arrive at a certain airport according to a Poisson process with rate α =8 per hour, so that the number of arrivals during a time period of t hours is a Poisson rv with parameter μ = 8t.

What are the expected value and standard deviation of the number of small aircraft that arrive during a 75-min period?

Yes, it is possible for 2 different quadratic functions to have the same axis of symmetry but different vertex points.

Since we know that,

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

The axis of symmetry of a quadratic function f(x) = ax² + b x + c is the line x = -b/2a.

The Vertex of the function is (-b/2a, f(-b/2a)).

Consider the quadratic function,

f(x) = x² + 2x - 24.

Axis of symmetry, x = -2 / (2 × 1) = -1

Vertex = (-1, f(-1)) = (-1, -25)

Consider a different quadratic function,

f(x) = x² + 2x - 15.

Axis of symmetry, x = -2 / (2 × 1) = -1

Vertex = (-1, f(-1)) = (-1, -16)

Here 2 different quadratic functions have the axis of symmetry at x = -1, but one of the functions has a vertex at (-1, -25) and the other has a vertex at (-1, -16).

Hence it is possible to have the same axis of symmetry but different vertex points for 2 different quadratic functions.

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The parts of the box - and - whisker plot when correctly labeled are :

A box and whisker plot, also known as a box plot, is a graphical representation of a set of data. The smallest data value in the set, represented by a line or point at the bottom of the plot which is 5.

The Median is represented by a line or point inside the box which is 35. The third quartile is represented by the top edge of the box which is 40. And the maximum is  represented by a line or point at the top of the plot which is 50.

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Answer:

you end up with 75 divided by 3.

Step-by-step explanation:

75 divided by 3 - 8 + 8

add 60 and 15

3 - 2(4) + 2^3

multiply -2 by 4

3 - 8 + 2^3

multiply 2 by itself 3 times

3 - 8 + 8 (which gives you 3 again)

and you get 75 divided by 3

Looking at the plot we could roughly draw a line between the points.

This would would have a positive slope. so the association would be linear and positive.

Answer:

x=3

Step-by-step explanation:

This is a proportional equation:

Given: x/9=9/27

Cross-multiply: 27x=81

Divide: x=3

So x=3

Answer:  

x=3

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

\(d ) (-3x^3) (4xy)(-2x^2y^2),\\3x^3\cdot \:4xy\cdot \:2x^2y^2,\\24x^3x^2xy^2y,\\24yx^6y^2,\\24x^6y^{1+2},\\\\Solution = 24x^6y^3\)

First I removed the ( ) off the " main expression. " Afterwards I multiplied the terms, and through the exponential rule, I added exponents of like terms, simplifying the expression to the solution 24x^6y^3. The rest of these questions are performed in a like manner, so I don't think I need to explain them.

\(e ) (-28a^6 / -7a^5),\\\frac{28a^6}{7a^5},\\\frac{4a^6}{a^5},\\\\4a^{6-5},\\4a,\\\\Solution = 4a\)

____________________________________________

For part f ) can you be a bit more clear on the exponent part. One could say that this expression is ( 8z^3 )( 7z^1 * 1 ) or  ( 8z^3 )( 7z^11 ). You never know, an exponent and a multiplied number can be confused considering that a number next to another is taken to be multiplied. After you confirm the expression I will be happy to change my response!

Answer:

88

Step-by-step explanation:

use pemdas

Answer:

88

Step-by-step explanation:

7+(12-3)²

Parentheses

7+9²

Exponents

7+81

Multiplication

Division

Addition

88

Subtraction

Answer:

No Solutions

Step-by-step explanation:

3(4x - 8) = -24 + 12x

12x - 24 = -24 + 12x

12x - 12x - 24 = -24

12x -12x = -24 +24

0 = 0

No Solutions

Answer:

4 meters per second

Step-by-step explanation:

200 ÷ 50 = 4

Answer:

i have this question on my test so this is a life saver

Step-by-step explanation:

thanks

the Degree of freedom is 9.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

We have given,

Sample size =n=10

Degree of freedom =n-1=10-1=9

Hence the Degree of freedom is 9

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Answer:

option d

Step-by-step explanation:

y=mx+c

6= -5*2+c

c=6+10

c=16

The confidence interval estimate of the population standard deviation is (8.34, 4.49).

The speeds measured from traffic on a busy highway, the sample data is:65, 63, 63, 57, 63, 55, 60, 59, 60, 69, 62, 66. We want to construct an 80% confidence interval estimate of the population standard deviation. The formula to compute the confidence interval is as follows:\[\text{Confidence Interval}=\left( \sqrt{\frac{(n-1)s^2}{\chi_{\frac{\alpha}{2},n-1}^2}}, \sqrt{\frac{(n-1)s^2}{\chi_{1-\frac{\alpha}{2},n-1}^2}}\right)\]Where,\[\text{s}= \text{sample standard deviation}\]n = sample size.\[\alpha= 1 - \text{confidence level}\]\[\chi^2= \text{critical value}\]From the given data, sample standard deviation can be computed as follows:$\text{sample standard deviation, s}= 4.60$.To find the critical values of Chi-Square distribution, $\alpha = 1-0.8 = 0.2$ and \[n-1 = 11\]Therefore, from the table of Chi-Square critical values, $\chi_{\frac{\alpha}{2},n-1}^2$ and $\chi_{1-\frac{\alpha}{2},n-1}^2$ can be computed as follows:$\chi_{\frac{\alpha}{2},n-1}^2=7.015$and $\chi_{1-\frac{\alpha}{2},n-1}^2=19.68$Putting all the computed values in the formula of the confidence interval, we have:Confidence Interval = $\left( \sqrt{\frac{(12-1)4.60^2}{7.015}}, \sqrt{\frac{(12-1)4.60^2}{19.68}}\right)$= (8.34, 4.49)Hence, the confidence interval estimate of the population standard deviation is (8.34, 4.49).

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when you are interrogating the external validity of a sample, option(b). how was the sample collected? is the most important question to ask.

What is External validity?

The concept of external validity is related to the concept of generalization. It's imperative to keep that in mind. It is important to remember that validity refers to the approximate truth of a proposition, an inference, or a conclusion. In other words, external validity refers to the relative truth of generalizations based on generalizations. The external validity of your study is the degree to which the conclusions are applicable to other people, places, and times.

An external validity threat is an explanation of how a generalization could be flawed. A study you conducted in a particular place, with certain types of people, at a particular time, can be generalized to another context (for instance, another place, with slightly different people, at a slightly different time). External validity can be compromised in three ways: people, places, and times.

Question

When you are interrogating the external validity of a sample, which is the most important question to ask?

a. how many people are in the sample?

b. how was the sample collected?

c. how were the participants measured?

d. how many people are in the population?

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The statement which best describes the value of the expression at; x = 1 is; Choice D; The result is a whole number that is neither prime nor composite.

It follows from the task content that the value of the expression be determined at; x = 1 and consequently, the result be classified as a whole number, prime number or composite number.

Hence, when x = 1;

5x - 4 = 5(1) - 4.

= 5 - 4

= 1.

Hence, the result is 1 which can be classified as a whole number (integer). However, it is not a prime number and neither is it a composite number.

Therefore, Choice D is correct.

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Answer:

\( \frac{2}{5} (d - 10) - \frac{2}{3} (d + 6) \\ = \frac{2d}{5} - \frac{20}{5} - \frac{2d}{3} - \frac{12}{3} \\ = \frac{2d}{5} - \frac{2d}{3} - \frac{20}{5} - \frac{12}{3} \\ = \frac{6d - 10d}{15} - 4 - 4 \\ = \frac{ - 4d}{15} - 8 \\ = \frac{ - 4d - 120}{15 } \\ = - ( \frac{4d + 120}{15} )\)

Thank you ☺️☺️

Answer: -25

Step-by-step explanation:

4 - 2(-3) - 5 (7)

4 + 6 - 35

10 - 35

The statement is false. Dietary fat, oils, fat-soluble vitamins, phospholipids, and cholesterol are not absorbed directly into the blood like amino acids and monosaccharides. Instead, they are absorbed into the lacteals of the lymphatic system.

When we consume dietary fat, it undergoes a different absorption process compared to amino acids and monosaccharides. The majority of fat digestion and absorption occurs in the small intestine. The small intestine contains specialized structures called villi, which are covered in tiny projections called microvilli. These structures greatly increase the surface area available for absorption.

During fat digestion, bile acids emulsify the dietary fat into smaller droplets, facilitating the action of pancreatic lipase, an enzyme that breaks down the fat molecules. Once broken down, the resulting fatty acids approach to combine with bile salts to form structures called micelles.

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Answer:

28.5 ft^3

58.3 m^3

Step-by-step explanation:

volume of a pyramid = 1/3 x length x width x height

Perimeter of a pyramid = 4 x length

10.1 = 4 x length

length = 10.1 / 4 = 2.525

1/3 x (2.525 x 2.525 x 13.4) = 28.5 ft^3

1/3 x (6.1 x 6.1 x 4.7) = 58.3 m^3

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

To write the equation of the line with an x-intercept at -6 and a y-intercept at 2, we can use the slope-intercept form of a line, y = mx + b, where m is the slope and b is the y-intercept.

In this case, the y-intercept is given as 2, so the equation becomes y = mx + 2. To find the slope, we can use the formula (y2 - y1) / (x2 - x1) with the given points (-6, 0) and (0, 2). We find that the slope is 1/3. Thus, the equation of the line is y = (1/3)x + 2.

For the polynomial f(x) = -3x² + 6x, the degree is 2 and the leading coefficient is -3. The end behavior of the graph is determined by the degree and leading coefficient. Since the leading coefficient is negative, the graph will be "downward" or "concave down" as x approaches positive or negative infinity.

To find the zeros, we set the polynomial equal to zero and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two solutions: x = 0 and x = 2.

The x-intercept is the point where the graph intersects the x-axis, and since it occurs when y = 0, we substitute y = 0 into the polynomial and solve for x. -3x² + 6x = 0. Factoring out x, we get x(-3x + 6) = 0. This gives us two x-intercepts: (0, 0) and (2, 0).

To determine if the polynomial is even, odd, or neither, we substitute -x for x in the polynomial and simplify. -3(-x)² + 6(-x) = -3x² - 6x. Since the polynomial is not equal to its negation, it is neither even nor odd.

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Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.

The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.

Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.

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Part (a)

Divide the total cost over the number of gallons to get the unit cost

(23.63)/(8.5) = 2.78

=======================================================

Part (b)

The result of the previous part indicates the gas costs $2.78 per gallon.

=======================================================

Part (c)

c = cost in dollars

g = number of gallons bought

cost/gallons = cost/gallons

c/g = (23.78)/(8.5)

c/g = 2.78

c = 2.78g

This fits with what part (b) mentioned. The 2.78g means "2.78 times g".

=======================================================

Part (d)

Plug g = 17 into the equation found in part (c)

c = 2.78g

c = 2.78*17

c = 47.26

Answer:

slope=2/3

y intercept=4

Step-by-step explanation:

Let's assume the average cost of a pack of cigarettes is $10.

To calculate the total amount spent on cigarettes, we need to determine the number of years the person smoked and the average number of packs smoked per day.

Given:

Age of starting smoking: 16

Age of quitting smoking: 55

Average cost per pack: $10

The person smokes for a total of 55 - 16 = 39 years.

Let's assume the person smokes an average of 1 pack per day.

To calculate the total amount spent on cigarettes, we multiply the number of years by the number of packs smoked per year and then multiply by the cost per pack:

Total amount spent = (Number of years) * (Packs per year) * (Cost per pack)

Total amount spent = 39 years * 365 days/year * 1 pack/day * $10/pack

Total amount spent = $142,350

Therefore, in this example, the person would spend approximately $142,350 on cigarettes from the age of 16 to 55, assuming an average cost of $10 per pack and smoking 1 pack per day.

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Answer:

$15.80

Step-by-step explanation:

First you multiply $1.40 times 3 to get $4.20 then you subtract the $4.20 from $20 to get $15.80

Answer:

8 & 4

Step-by-step explanation:

Answer:

1) x = 0

2) x = 2

Step-by-step explanation:

1)

12 = -4(-6x - 3)

First, we distribute.

12 = 24x + 12

Then, we combine like terms.

12 - 12 = 24x

0 = 24x

Finally, we divide 24 on both sides.

We got 0 = x, or x = 0

-

2)

-20 = -4x - 6x

First, we simplify.

-20 = -10x

Then, we divide -10 on both sides.

We got 2 = x, or x = 2

-

Hope this helps!

Answe quik tha 2nd one

Step-by-step explanation:

do it