Complete each proof by putting the steps in order

0.4

The probability that an undergraduate business major intends to attend classes full-time in pursuit of an MBA degree depends on the individual student's preferences and situation. Generally speaking, studies have shown that about 40% of undergraduate business majors choose to pursue an MBA degree full-time after graduating. Therefore, the probability of an undergraduate business major pursuing an MBA degree full-time can be estimated at 0.4.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Therefore, x = 8

The image above will help you better understand why.

Answer:

x=8

Step-by-step explanation:

It is really easy just try to multiply

Two ratios can be written to compare oranges to bunches of bananas in the given illustration: 3:1 and 12:4. In the first ratio, 3:1, the number of oranges is compared to the number of bananas.

1. Since there are 12 oranges and 4 bananas, the ratio can be simplified by dividing both numbers by 4, resulting in 3:1.

2. The second ratio, 12:4, compares the total quantity of oranges to the total quantity of bananas. This ratio represents the ratio of individual fruits rather than the ratio of bunches. Again, this ratio can be simplified by dividing both numbers by 4, resulting in 3:1.

3. Both ratios indicate that for every 3 oranges, there is 1 bunch of bananas. These ratios provide a numerical representation of the comparison between oranges and bunches of bananas in the given illustration.

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Answer:

Step-by-step explanation:

Translation vectors add, and the addition is commutative and associative.

__

The first translation adds (-1, 2) to the original coordinates. The second translation adds (2, -1) to the original coordinates. The two translations together add ...

  (-1, 2) +(2, -1) = (-1+2, 2-1) = (1, 1)

to the original coordinates.

The single rule representing this translation is ...

  (x, y) ⇒ (x +1, y +1)

Then the doubly-translated coordinates are ...

  A(-2, -3) ⇒ A"(-1, -2)

  B(5, -1) ⇒ B"(6, 0)

  C(2, 2) ⇒ C"(3, 3)

Answer:

No, your right it's y = mx + b form your right is - 2.  Did you tried putting -2

Step-by-step explanation:

When Mandy tossed a fistful of silver coins into the air, then picked up the 23 coins that landed heads up, this isn't a random sample of the coins.

In statistics, a simple random sample is a subset of individuals chosen at random from a larger set, with all individuals having the same probability. It is the process of selecting a sample at random.

A simple random sample is a subset of a population chosen at random. This sampling method gives each member of the population an exact equal chance of being chosen, reducing the risk of selection bias.

In this case, Mandy only picked heads, this isn't a random sample since it's biased.

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Answer:

400 guitars

Step-by-step explanation:

200+200=400

Answer:

Alright first It is called B.C. Rich and if they make 200 a day,They would make 400 guitars in 2 days

Step-by-step explanation:

Answer: 32.5

Step-by-step explanation: you divide it.

To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.

To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:

n = (Z^2 * p * (1-p)) / E^2

Where:

n is the sample size

Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)

p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)

E is the margin of error

Plugging in the values for this scenario, we get:

n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2

n ≈ 862

Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.

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Answer:

24 - 27 = -3

and if you meant 2/4 - 2/7 in scientic notation:

2/4 - 2/7 = 3/14

HOPE THIS HELPS

Therefore, the interest on the notes would be:(a) $70 (b) $45 (c) $92 (d) $70.

To determine the interest on the given notes, we can use the simple interest formula:

Interest = Principal * Rate * Time

(a) For $5,600 at 5% for 90 days:

Principal = $5,600, Rate = 5% (or 0.05), Time = 90 days/360 (converted to years)

Interest = $5,600 * 0.05 * (90/360) = $70

(b) For $1,280 at 9% for 5 months:

Principal = $1,280, Rate = 9% (or 0.09), Time = 5 months/12 (converted to years)

Interest = $1,280 * 0.09 * (5/12) = $45

(c) For $6,900 at 8% for 60 days:

Principal = $6,900, Rate = 8% (or 0.08), Time = 60 days/360 (converted to years)

Interest = $6,900 * 0.08 * (60/360) = $92

(d) For $2,000 at 7% for 6 months:

Principal = $2,000, Rate = 7% (or 0.07), Time = 6 months/12 (converted to years)

Interest = $2,000 * 0.07 * (6/12) = $70

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Answer:

It is not possible to conclude whether the population mean differs from the sample mean without additional information such as a confidence interval or hypothesis test. While the sample mean and standard deviation provide information about the central tendency and variability of the sample, it cannot be assumed to accurately reflect the population parameters. Since the population is not approximately normal, it is important to use appropriate methods for inference such as non-parametric tests or the Central Limit Theorem for large sample sizes.

Answer:

I. Not a function

II. Not a function

III. Yes, function

IIII. Yep!

(I messed up the numbering in the explanations, sorry 3 is 4 and 4 is 3)

Step-by-step explanation:

Hi!

For a function, every x value must have exactly 1 y value.

f(2) can't equal both 0 and 10. It can only equal 0 or 10. So, because of this, we have a test called the vertical line test. Basically, you drag a line through a graph, and if there is any x value that goes to two (or more) different y-values, then that graph is not the graph of the function.

Let me try to give a practical explanation.

I.

In this graph, everything looks fine until we reach x=6. (I'm assuming the graph goes by ones). Do you see the problem? Yep! x has two different y values.

y= 4 and y= 6.

So, this isn't a function. Why? Because there are two y values for each x value (aka, this doesn't pass the V.L.T)

II.

(1,2), (2,5) , (3,8) , (2,-5) (1,-2)

We have two groups of problem points.

(2,5) and (2,-5) and (1,2) and (1,-2)

Here, each x value goes to a different y value. Therefore, this isn't a function

III. y=x^2

This is your typical parabola. See the graph that I attached.

Notice that -2 and 2 both go to 4. Two different x-values going to the same y-value is fine, but one x can't go to to different y values.

IIII.

(-4,1) , (0,3) , (4,5) , (6,6)

Check 1: Does any x-value go to multiple y values? Nope! So, this is a function.

Answer:

3 is the missing value

Step-by-step explanation:

Given

\(24 + 12 = \_ * (8 + 4)\)

Required

Complete the blank

The model is not given; but the question can still be solved.

We have:

\(24 + 12 = \_ * (8 + 4)\)

Add 8 to 4

\(24 + 12 = \_ * 12\)

Add 24 to 12

\(36= \_ * 12\)

Divide both sides by 12

\(3= \_\)

Rewrite as:

\(\_ = 3\)

Hence, the blank will be completed with 3

Answer:

a

Step-by-step explanation:

edg 2021

Answer:

Just use a calcultor...

Step-by-step explanation:

Answer:

g(f(x))=6x-11

Step-by-step explanation:

g(f(x))=3(2x-5)+4

=(6x-15)+4

=6x-11

you substitute (2x-5) in for the x value in the function g(x)

a. Connect S to C and A.

b. The shoe store

c. If a book is a paperback, then it is on sale. If a book is on sale, then its sale price is 20% off the original price.

d. If a book is a paperback, then its sale price is 20% off the original price

Any diagram that conveys mathematical concepts is referred to as a math diagram. This includes both simple charts and graphs and complex logic and geometrical diagrams. A visual aid can help you understand math and science concepts.

Two parallel columns make up a mapping diagram. The first column represents a function's domain, and the second column its range. To represent the relationship between any two elements, lines or arrows are drawn from domain to range.

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50%

because a coin only has 2 sides, resulting with a 50/50 chance of either option

Answer:

15 and 4 1/4 pounds of meat to the female tiger

Step-by-step explanation:

The M.A.S motion for two different time periods {T} = 2s and

{T} = 2/3s is calculated above.

The general equation is -

y{t} = A sin(ωt + Ф)

Given is a body describes an M.A.S according to the function -

{x} = 2 cos{(π/2)T+ π)r

Now -

For {T} = 2, we can write -

{x} = 2 cos{(π/2) x 2+ π)r

{x} = 2 cos{2π}r

{x} = 2 x 1 x r

{x} = 2r

For {T} = 2/3, we can write -

{x} = 2 cos{(π/2) x 2/3+ π)r

{x} = 2 cos{π/3}r

{x} = 2 x -0.33 x r

{x} = - 0.66r

Therefore, the M.A.S motion for two different time periods {T} = 2s and

{T} = 2/3s is calculated above.

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{Question in english -

a body describes an M.A.S according to what is specified.

x= 2 cos (π/2 T+π) r

Find its elements in:

T= 2

T= 2/3 sec

K=f/x}

Answer:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Step-by-step explanation:

GGB

GGG

GBB

GBG

BGG

BGB

BBG

BBB

Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%

Answer:

517

Step-by-step explanation:

We can draw a Venn diagram to represent the data.

First, identify the groups.

Then draw the Venn diagram to represent the groups.

Given 73 students study all subjects:

E ∩ M ∩ S = 73   (add this to the middle section)

Next, add the numbers for the sections where the students study 2 topics.

E ∩ M but not S:  152 - 73 = 79

M ∩ S but not E:  79 - 73 = 6

S ∩ E but not M:  139 - 73 = 66

Now complete each circle by making sure that the values add up to the total value given.

Only E = 254 - S ∩ E - E ∩ M - E ∩ M ∩ S = 254 - 66 - 79 - 73 = 36

Only M = 280 - E ∩ M - M ∩ S - E ∩ M ∩ S = 280 - 79 - 6 - 73 = 122

Only S = 280 - M ∩ S - S ∩ E - E ∩ M ∩ S = 280 - 6 - 66 - 73 = 135

To find the total number of students in the school, add the numbers in each section of the Venn diagram:

73 + 79 + 6 + 66 + 36 + 122 + 135 = 517

Answer:

Kacey

4x+3y=12.35

Fernando

8x+1y=13.05

Given the position function r(t) = ti + (2t^2 + 7)j, we can find the velocity and acceleration vectors by taking the first and second derivatives of r(t) with respect to time t.

1. Find the velocity vector v(t) by taking the first derivative of r(t):

v(t) = dr(t)/dt

= (d(t)/dt)i + (d(2t^2 + 7)/dt)j v(t)

= (1)i + (4t)j

2. Find the acceleration vector a(t) by taking the second derivative of r(t):

a(t) = dv(t)/dt

= (d(1)/dt)i + (d(4t)/dt)j a(t)

= (0)i + (4)j

Now we can find the velocity and acceleration vectors at t = 0:

v(0) = (1)i + (4*0)j

= i a(0)

= (0)i + (4)j

= 4j

So the velocity vector at t = 0 is v(0) = i, and the acceleration vector at t = 0 is a(0) = 4j.

To sketch them as vectors on the curve, draw the parabola y = 2x^2 + 7. At the point (0,7), which corresponds to t = 0, draw the velocity vector as a horizontal arrow pointing to the right (since it is i), and draw the acceleration vector as a vertical arrow pointing upward (since it is 4j).

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The volume of the tank can be found using the given information as:\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

Assuming that the area bounded is given by a function f(x), the volume of the oil storage tank can be calculated using the formula for the volume of a solid of revolution:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

where a and b are the limits of integration. In this case, the axis of revolution is the x-axis, so we are revolving the area about the x-axis.

Therefore, the volume of the tank can be found using the given information as:

\(Volume=\int\limits^b_a {\pi f(x)^2} \, dx\)

We need more information about the function f(x) or a curve that bounds the area in order to find the limits of integration and calculate the volume.

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Answer:

C

Step-by-step explanation:

Since the reflection line is at y=1 then B is only one y value above that line. Therefore, B prime should be one y value below that line.

Answer: It means find the slope of each line.

Step-by-step explanation:

A is the line that runs from 0,-6 to 5,14 This is tricky because the scale of the y-axis is twice the value of the x-axis. So what looks like a slope (gradient) of +2 is actually +4. Figure the difference in y-values divided by the difference in x-values.

Same for line B.

I used 0 - 14 for the rise, and 4 -(-3) for the run. 7/-14 makes that slope a -2. That's negative two, not the apparent negative one!

She needs to locate the squares of the integers between 7.1 and 7.2 in order to estimate √51.

Finding an integer's square root is the inverse of squaring an integer. A number's square value is obtained by multiplying it by itself, whereas the square root of a number can be discovered by looking for a number that, when squared, produces the original value. It follows that a× a = b if "a" is the square root of "b." Every number has two square roots, one of a positive value and one of a negative value because the square of any number is always a positive number.

In the question given to us,

look at the table, we know

(7.1)² = 50.41 and (7.2)² = 51.84

So, (7.1) < √51 < 7.2 { estimate }

They should therefore determine the squares of the numbers between 7.1 and 7.2.

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The complete question is :

Meredith is trying to estimate √51 She uses this table of values:

What should she do next to find √51 to the nearest hundredth?

A. She should find the average of 7. 1 and 7. 2.

B. She should find the squares of numbers between 7. 2 and 7. 3.

C. She should find the squares of numbers between 7. 1 and 7. 2.

D. She should estimate that √51 is 7. 20.

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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