Every school day, Mr. Kelley asks a randomly selected student to complete a homework
problem on the board. If the selected student received a "B" or higher on the last test, the
student may use a "pass," and a different student will be selected instead. Suppose that on
one particular day, the following is true of Mr. Kelley's students:
18 of 32 students have completed the homework assignment;
8 students have a pass they can use; and
6 students have a pass and have completed the assignment.
What is the probability that the first student Mr. Kelley selects has a pass or has completed
the homework assignment?

Answer: Incorrect

Step-by-step explanation:

Your friend Frans' claim is incorrect. A row of zeros in the reduced matrix means that the corresponding equation in the system is redundant and does not provide any additional information. This does not necessarily mean that the system does not have a unique solution. In fact, a row of zeros in the reduced matrix is common when solving systems of linear equations using Gaussian elimination, and it can still lead to a unique solution or even an infinite number of solutions. Therefore, Frans' claim is wrong.

Visualizing and distributing data can be used to describe the objective being measured in several ways, including histograms, box plots, and density plots, among others. These visualizations provide a clear picture of the distribution of the data and help in identifying trends, outliers, and the spread of the data.

In some cases, the data may not be centered around the average, or the average may not be the best representation of the data collected. This can occur when the data is not symmetrical or has a skewed distribution. In a skewed distribution, the data may be skewed to the left or to the right, and the mean, median, and mode can be different from each other. In such cases, it is more appropriate to use the median as a measure of central tendency, as it provides a more accurate representation of the data.

A scenario that may result in having data that is skewed either positively or negatively is when there are outliers present in the data. Outliers are extreme values that are significantly higher or lower than the rest of the data. For example, in a positively skewed data set, the outliers are significantly higher than the majority of the data, which pulls the mean in the positive direction. Similarly, in a negatively skewed data set, the outliers are significantly lower than the majority of the data, which pulls the mean in the negative direction. Outliers can significantly affect the mean and result in a skewed distribution.

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Answer:j=39/28 or 1.392857 or 1 11/28

Step-by-step explanation:

I assume that you are looking for j

1⁄7 + 1⁄2 + 3⁄4=j

9/14+3/4

39/28

The ratio of nonfiction to fiction books is 49 : 2.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

Given, The number of fiction books is 2/7 times the number of nonfiction books.

So, If we have 7 nonfiction books then we have 2/7 fiction books.

Therefore, The ratio Nonfiction : Fiction = 7 : 2/7.

Nonfiction : Fiction = 49 : 2.

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Answer:

I'm pretty sure its a 35° angle

hope it helps

The angle is measuring 35° on the tool.

Sentence Set A: Argument with conclusion "Have you no common decency?" Sentence Set B: Not an argument. Sentence Set C: Argument with conclusion "Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?" Sentence Set D: Not an argument.

Sentence Set A is an argument because it presents a series of statements aimed at persuading or challenging someone's behavior. The first two sentences express the speaker's emotional response to the way they are being spoken to and the potential hurt caused by it.

The final sentence, "Have you no common decency?" serves as the conclusion of the argument, implying that the person being addressed should consider their actions and exhibit basic manners.

Sentence Set B, on the other hand, does not form an argument.

While it discusses the speaker's frustration with outdated reference materials at the library and proposes an alternative solution of doing research online, it lacks a clear claim or conclusion that presents a logical appeal or challenge to persuade others.

In Sentence Set C, an argument is made against Dr. Sullivan's suggestion of a painful cancer treatment for the speaker's husband. The statements express concerns about the potential lack of success of the treatment and the additional suffering it may cause during the final two weeks of the husband's life.

The conclusion is formed by the initial question: "Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?"

Sentence Set D does not constitute an argument as it involves an expression of surprise and disappointment regarding someone's math skills, but it lacks a clear claim or conclusion that presents a logical challenge or persuasive appeal.

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The complete question is:

Sentence Set A:

S1: Don't ever speak to me like that again.

S2: Don't you know how much it hurts my feelings when you talk to me like that?

S3: Have you no common decency?

Sentence Set B:

S1: I'm so tired of having to go to the library to do my research.

S2: Can you believe that half of the reference materials I found there last time were outdated?S3: Let's just tear down the library and do our research online from now on.

Sentence Set C:

S1: Dr. Sullivan, how could you possibly suggest giving my husband a painful cancer treatment when he has only two weeks to live?

S2: What if the treatment isn't successful?

S3: Would you want your spouse to suffer even more during her final two weeks?

Sentence Set D:

S1: How could you possibly have got x = 5 as your answer?

S2: Didn't you see that y = 47?

S3: I have never seen such sloppy math in my entire life.

Which of the sentence sets are arguments? If applicable, what is the conclusion of each argument?

The general solution of the differential equation y"-8y+15y=0 is \(y(t) = C_{1}sinh(\sqrt{3}t) + C_{2}sinh(\sqrt{5}t)\), where \(C_{1}\) and \(C_{2}\) are constants of integration

The characteristic equation for this differential equation is r^2 - 8r + 15 = 0, which factors as (r-3)(r-5) = 0. Therefore, the roots are r=3 and r=5.

The general solution of the differential equation is \(y(t)= C_{1}e^{3t}+C_{2}e^{5t}\), where \(C_{1}\)  and \(C_{2}\) are constants of integration.

we can write this as: \(y(t)= C_{1}sinh(at)+  C_{2} sinh(bt)\), where a and b are the square roots of the roots of the characteristic equation, i.e. \(a=\sqrt{3}\) and \(b=\sqrt{5}\).

Therefore, the general solution of the differential equation y"-8y+15y=0 is \(y(t) = C_{1}sinh(\sqrt{3}t) + C_{2}sinh(\sqrt{5}t)\), where \(C_{1}\) and \(C_{2\) are constants of integration.

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Answer:

what do you need help with

Step-by-step explanation:

Step-by-step explanation:

the general equation of a parabola in a "y = ..." orientation is

y = a(x – h)² + k

where (h, k) is the vertex.

the axis of symmetry is

x = h

and for the form

y = ax²+ bx + c

this means

x = - b/(2a)

we have here

y = 3x² + 6x - 2

so we get the axis of symmetry directly :

x = -6/(2×3) = -6/6 = -1

x = -1

and we know x = h.

so we have

y = 3(x + 1)² + k = 3(x² + 2x + 1) + k =

= 3x² + 6x + 3 + k

comparing it to our original equation we see

3 + k = -2

k = -5

so, the vertex is

(-1, -5)

The height of the tree and its shadow, and the height of the person and its shadow, at the same time of the day, form two similar right triangles:

Since both triangles are similar, then the corresponding sides are at the same ratio so that:

From this expression, you can determine the height of the tree, just multiply both sides of the equal sign by 5:

The height of the tree is 15 feet.

The study is most likely attempting to establish is Criterion validity and the study featured a(n) scale of measurement is Ordinal scale.

10). The study is most likely attempting to establish is: By criterion validity.

Criterion validity measures how well one measure predicts the outcome for another measure.

Here, we are judging how well the scores on the employment test predict the performance of the person.

Nominal Scale: This scale is used to assign labels to variables that have no numerical values.

For eg : Gender (male and female) , colour (brown blue black white)

Ordinal scale: It matters how the values are arranged, but it makes no difference how much they differ.

For eg: 1: Food applications rated from 1 to 5, 5 being the best. If a app is rated as 2 and other is rated as 4 does not mean the later is twice as good as the first.

Interval scale: An interval scale is a numerical scale where the order and size of the difference between the numbers are known. Absolute zero does not indicate absence in an interval scale, it only means there is no value.

For eg: Temperature in degree Celsius. If T1=5o Celsius  and T2=15o Celsius this means is a temperature difference of 10o , but with T3=0o does not mean there is no temperature.

Ratio scale: The ratio scale is another numerical scale where the order and size of the difference between the values are known, and where absolute zero denotes the absence of values.

For eg: Salary of people

11). The study featured a(n)scale of measurement is: By ordinal scale

We will rank the chairs on a scale where order counts and the size of the difference is not particularly significant.

Hence, for 10th the option A is correct and for 11th the option B is correct.

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In order to have negative correlation between two variables the covariance must be negative.

What is correlation?

The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.

The correlation between two variables x and y is,

\(r = \frac{Cov(x, y)}{S_x*S_y}\)

where,

Cov(x, y) is the covariance between x and y.

\(S_x\) and \(S_y\) respectively denotes the standard deviation of x and y.

If the correlation is negative then  r < 0.

Now r < 0

\(\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0\)

If r < 0 the Cov(x, y) < 0.

In order to have negative correlation between two variables the covariance must be negative.

Hence, in order to have negative correlation between two variables the covariance must be negative.

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Answer:

Step-by-step explanation:

{0, -8, -16, -24,...} here you add -8 each time so the rule is

\(a_{1} = 0, a_{n} = a_{n-1} -8\)

the 71 term is

\(a_{71} = 0 + (71 - 1) * (-8) = 70 * (-8) = -560\)

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

To find out how much of each leftover paint Josh should mix to achieve a medium pink color (50% red), we can set up a system of equations based on the percentages of red in the paints.

Let's assume that Josh needs x gallons of dark pink paint and y gallons of light pink paint to achieve the desired color.

The total amount of paint needed is 3 gallons, so we have the equation:

x + y = 3

The percentage of red in the dark pink paint is 80%, which means 80% of x gallons is red. Similarly, the percentage of red in the light pink paint is 30%, which means 30% of y gallons is red. Since Josh wants a 50% red mixture, we have the equation:

(80/100)x + (30/100)y = (50/100)(x + y)

Simplifying this equation, we get:

0.8x + 0.3y = 0.5(x + y)

Now, we can solve this system of equations to find the values of x and y.

Let's multiply both sides of the first equation by 0.3 to eliminate decimals:

0.3x + 0.3y = 0.3(3)

0.3x + 0.3y = 0.9

Now we can subtract the second equation from this equation:

(0.3x + 0.3y) - (0.8x + 0.3y) = 0.9 - 0.5(x + y)

-0.5x = 0.9 - 0.5x - 0.5y

Simplifying further, we have:

-0.5x = 0.9 - 0.5x - 0.5y

Now, rearrange the equation to isolate y:

0.5x - 0.5y = 0.9 - 0.5x

Next, divide through by -0.5:

x - y = -1.8 + x

Canceling out the x terms, we get:

-y = -1.8

Finally, solve for y:

y = 1.8

Substitute this value of y back into the first equation to solve for x:

x + 1.8 = 3

x = 3 - 1.8

x = 1.2

Therefore, Josh should mix 1.2 gallons of dark pink paint and 1.8 gallons of light pink paint to achieve the desired medium pink color.

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Answer:

90

Step-by-step explanation:

54/9= 6 doses per oz

15*6= 90 doses

hope this is correct

Answer:

x=4

y=-6

Step-by-step explanation:

y+2x=(-4x+10)+2x=2

-2x=-8

x=4

y=-6

The product of two integers is always positive is not true.

What is product?

One of the four fundamental operations of arithmetic is multiplication. The other three are addition, subtraction, and division. A product is what is produced when you multiply two numbers.

Consider the given statement

The product of two integers is always positive.

The given statement is not always true.

Example:

Consider, the product of integers 2 and 5

2 x 5 = 10 it is true.

Counterexample:

Consider, the product of integers 3 and -4

3 x (-4) = -12

-12 is not a positive number.

Hence, the product of two integers is always positive is not true.

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Answer: True: The graph of y=3x²-3 opens up

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex: (0,−3)(0,-3)

Focus: (0,−35/12)

Axis of Symmetry: x=0

Directrix: y=−37/12

X={-2, -1, 0, 1, 2}

Y={9, 0, -3, 0, 9

Step-by-step explanation:

Using function concepts, it is found that the correct options are:

The parent exponential function is defined by:

\(y = e^x\)

In this problem:

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If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.

This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.

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Answer:

x^2 -1x-20 +((-54)/(x-3))

Step-by-step explanation:

Let's do long division. I've uploaded the file for the work.

Answer:6.2 x 10 to the 5 power

Step-by-step explanation:

Answer:

Vertical Angles

Step-by-step explanation:

Answer:

\(vertical \: angles\)

Answer:

Assuming the weight of the object on Earth is 100 pounds, its weight on Mars would be:

(50 / 100) x 100 = 50 pounds

So the weight of the object on Mars is 50% of its weight on Earth.

Similarly, the weight of the object on the moon would be:

(24 / 100) x 100 = 24 pounds

So the weight of the object on the moon is 24% of its weight on Earth.

The correct answer is a. x and y are not linearly related.
The correlation coefficient, also known as the Pearson correlation coefficient, is a measure of the strength and direction of the linear relationship between two variables. It is denoted by the symbol r and ranges from -1 to 1. If r = 0, it indicates that there is no linear relationship between the two variables. This means that changes in one variable do not correspond to changes in the other variable in a linear way.

In contrast, if r = 1, it indicates a perfect positive linear relationship, meaning that as one variable increases, the other variable also increases at a constant rate. If r = -1, it indicates a perfect negative linear relationship, meaning that as one variable increases, the other variable decreases at a constant rate.

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Square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Net of a square pyramid consist of triangles and square.

The net of a pentagonal prism consists of two pentagons and five rectangles.

The net of a triangular prism consists of nine triangles

The net of a triangular pyramid consists of four triangles

Hence, square pyramid has triangles and square, pentagonal prism has two pentagons and five rectangles,  triangular prism has nine triangles and  triangular pyramid has triangles

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To find h′(−5), the derivative of h(x) = f(x)/g(x), we can use the quotient rule. Given the values of f′(−5), g(−5), and g′(−5), we can determine the value of h′(−5).

Using the quotient rule, the derivative of h(x) = f(x)/g(x) is given by h′(x) = (f′(x)g(x) - f(x)g′(x)) / (g(x))^2.

Substituting the given values, at x = -5, we have:

f′(−5) = -10,

g(−5) = 1,

g′(−5) = -1/5.

Plugging these values into the derivative formula, we get:

h′(−5) = (-10 * 1 - 0 * (-1/5)) / (1)^2 = -10.

Therefore, h′(−5) = -10, which corresponds to option C.

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