If a game consists of picking a number from a bag of beans numbered 2, 3, 3, 4, and 5 and flipping a coin, which probabilities are equivalent?


I.
II.
III.
A. I and II
B. I and III
C. II and III
D. none of the above

(its not c because i got it wrong so its either a,b, or d)

Answer:

C

Step-by-step explanation:

You can use the formula y=mx+b

f(x) is the same as y

m=slope

b=y intercept

We know that the slope is -2 so which answer has -2 as b? (Which one has a -2 before the x?)

Y Intercept is where the line crosses though the y axis. The point of the y intercept will ALWAYS have 0 as x. So (0,4) is the y intercept. You could also say 4 is the y intercept. Which one has 4 as b? (Which one says +4 after -2x)

The only answer that matches is C.

I hope thay made sense.

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

Explanation:

You have the right idea to multiply everything by 10 to clear out the fractions.

You did the (1/10x)*10 part correctly. That evaluates to 1x or simply x.

However, the part with (1/5)10 is not correct. The result for this piece isn't 50. Instead, it should be 2. You can think of it as 10/5 = 2.

Also, the (1/2x)10 should evaluate to 5x. You can think of it like 10x/2 = 5x.

Lastly, the (3/10)10 part should result in 3. The 10s cancel leaving just the 3.

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

This is what your steps could look like.

(1/10x + 1/5 = 1/2x + 3/10)*10

(1/10x)*10 + (1/5)*10 = (1/2x)*10 + (3/10)*10

x + 2 = 5x + 3

2-3 = 5x-x

-1 = 4x

4x = -1

x = -1/4

The results obtained by central limit theorem are given below-

μ = 170 customers per day

σ = 45 customers per day

n = 31

\(\begin{aligned}&\mu_{x}=170 \\&\sigma_{x}=8\end{aligned}\)

The Central Limit Theorem proves that the distribution of a sample means of size n can be estimated to the normal distribution with mean  (μ) and standard deviation (σ) for one random normally distributed variable X, with mean (μ) and standard deviation (σ);

\(s=\frac{\sigma}{\sqrt{n}}\)

This Central Limit Theorem may also be applied to skewed variables if n is at least 30.

She observes that the rival business averages 170 clients per day, with a standard deviation of 45 clients.

Thus, \(\mu=170, \sigma=45\)

Let's say she selects a random sampling of 31 days.

So, n = 31

Now, the mean is according to the Central Limit Theorem is

\(\mu_{x}=170\), and

standard deviation = \(\sigma_{x}=\frac{45}{\sqrt{31}}=8\)

Therefore, by using central limit theorem the data is obtained as,

μ = 170 customers per day

σ = 45 customers per day

n = 31

\(\begin{aligned}&\mu_{x}=170 \\&\sigma_{x}=8\end{aligned}\)

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The complete question is-

A business woman wants to open a coffee stand across the street from a competing coffee company. She notices that the competing company has an average of 170 customers each day, with a standard deviation of 45 customers. Suppose she takes a random sample of 31 days. Identify the following to help her decide whether to open her coffee stand, rounding to the nearest whole number when necessary:

μ = _____customers per day

σ = _____customers per day

n = ____

\(\mu_{x}\) =____

\(\sigma_{x}\) = ____

Answer:

3.76. Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

The radius of convergence of the series ∑(cn + dn)Xⁿ  is at least 5.

Thus, we can say that both series converge absolutely for |x| < 5 and |x| < 6, respectively.The radius of convergence of a series is defined as the distance from the center of the series to the closest point where the series converges.

The radius of convergence for the series

∑(cn + dn)Xⁿ

can be determined using the following formula:

R = \(\frac{1}{\lim\limits_{n\to\infty} \sup \sqrt[n]{|c_n + d_n|}}\)

Here, cn and dn are the nth terms of the respective series. The limit superior is taken as n approaches infinity.To simplify the calculation, we can take the larger of the two radii of convergence.

∑(cn + dn)Xⁿ

is at least 5 since it is less than or equal to the radius of convergence of the series ∑dn^xⁿ .

Therefore, we can say that the radius of convergence of the series ∑(cn + dn)Xⁿ is at least 5.

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Answer:

13

Step-by-step explanation:

i think 13

Answer:

13

Step-by-step explanation:

v + 6 =19

subtract 6 from both sides to get v by itself

then solve

v = 13

The formula or equation used to determine the slope of a straight line is as follows:

m = (Y₂-Y₁)/(X₂-X₁)

An equation is about two expressions, either arithmetic or algebraic, that are related with a "=" sign that indicates equality of expressions.

Equations can be graphed, they are used to model many problems and theories.

The straight lines are characterized by a finite succession of points, when they have an inclination they adopt a slope value different from 0, and to determine that slope it is necessary to know two points of the line and use the following equation:

m = (Y₂-Y₁)/(X₂-X₁)

Where the points are:

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Answer:

x^2 + 2

Step-by-step explanation:

can't have negative powers

Answer:

I think it's 7x7 - 2x-4 + 3

The value of the postfix expression 6 3 2 4 + - * is 18, which falls between 15 and 100. Therefore, the correct answer is d) Something between 15 and 100.

Here is the step-by-step  of how to evaluate the postfix expression:

1. Start with the first two numbers, 6 and 3, and the first operator, *. Multiply 6 and 3 to get 18.
2. Move on to the next two numbers, 2 and 4, and the next operator, +. Add 2 and 4 to get 6.
3. Now you have 18 and 6, and the last operator, -. Subtract 6 from 18 to get 12.
4. The final result is 12.

Therefore, the value of the postfix expression 6 3 2 4 + - * is 12, which falls between 15 and 100. The correct answer is d) Something between 15 and 100.

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Answer:

It depends.

Step-by-step explanation:

If it is two straight lines, then no, there is no way for the lines to intersect in more than one place. If the line is a parabola, then the lines would intersect in 2 places. It depends on what type of line you have.  

Answer:

30

Step-by-step explanation:

2(a + 8)

Let a = 7

2(7 + 8)

Using PEMDAS, lets add first because this is inside the parentheses.

2(15)

Now multiply,

30

Answer:

You replace the a with 7.

2(a + 8)

We solve the brackets (according to the BODMAS rule) and simplify.

The 3.51% compounded quarterly investment is the better investment in terms of higher returns.

We need to compare the effective rates of return for both options in order to determine which investment is superior.

A) For the 3.38% accumulated semiannually, we can work out the successful rate utilizing the equation:

The effective rate is as follows: Effective Rate = (1 + (Annual Interest Rate / Number of Compounding Periods))  Number of Compounding Periods - 1 Annual Interest Rate = 3.38 percent Number of Compounding Periods = 2 (since it is compounded semiannually) Effective Rate = (1 + (0.0338 / 2)) 2 - 1

The 3.38% compounded semiannual investment has an effective rate of approximately 3.59%, which is calculated as follows: Effective Rate = (1 + 0.0169)2 - 1 Effective Rate  0.0359385 or 3.59% (rounded to two decimal places).

B) We can use the same formula to determine the effective rate for the quarterly compound interest rate of 3.51 percent:

Since it is compounded quarterly, there are four compounding periods, and the annual interest rate is 3.51 percent. The effective rate is equal to (1 + (0.0351 / 4))4 - 1.

The compounded quarterly investment at 3.51% has an effective rate of approximately 3.53%, which is calculated as follows: Effective Rate = (1 + 0.008775)4 - 1 Effective Rate  0.0353157 or 3.53% (rounded to two decimal places).

When we look at the effective rates, we can see that the compounded quarterly investment with a rate of 3.51 percent has a slightly higher effective rate (3.53%) than the compounded semiannual investment with a rate of 3.38 percent (3.59%). Consequently, the higher-return investment at 3.51 percent compounded quarterly is superior.

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Answer:

Step-by-step explanation:

let marked price 100%

100%=$900

1%=9

so,35%=$315

1 month pays $60

so 12 month pays 12*60=720

total pays 720+315=$1035

more pays =$1030-900=$130

Answer:

WARNING! THE PERSON ABOVE ME IS WRONG.

The correct answer is 3. (C)

ED2021

Telling the managers in each of the 5 departments to randomly select 10 people to take the survey.

An unprejudiced portion of a population is chosen in a simple random sampling. With this sampling technique, the possibility of selection bias is reduced because every person of the population has an exact equal probability of being chosen.

A simple random sample is a group of people chosen at random, all with the same probability, from a larger group of people in statistics. It involves a method of randomly choosing a sample.

Random sampling assures that the results of sample should be close to those that would have been found if the complete population had been measured. With the simplest random sample, each unit in the population has an equal probability of being chosen.

Therefore, Option B is correct.

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Answer: D. This relation is not a function because the input 18 has two different outputs, 9 and 24.

Step-by-step explanation: Remember that in order for it to be a function, each input has one output. There can't be 2 x-values because it would immediately cause it to not be a function.

Using indirect reasoning, the unit cost for one person was more than 250 dollars.

Indirect reasoning involves using logical deductive reasoning to establish a contradiction because we progress from a general idea to reach a specific conclusion.

The total cost of a cruise between Ally and Tavia >$500

The unit cost per person >$250 ($500/2)

Thus, using logical deductive reasoning since the two friends paid more than $500 for the cruise, the unit cost per person will be more than $250.

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The 20th percentile is 20,

The 25th percentile is 22.50.

The 65th percentile is 28.

The 75th percentile is 29.

Given values:

27, 25, 20, 15, 30, 34, 28, and 25.

n = 8

sorting the data gives:

15, 20, 25, 25, 27, 28, 30, and 34.

= 20/100 * 8

= 1.6 ≈ 2

1.6 is rounded to 2, the second value is in the sorted data set is 20 hence the 20th percentile is 20

= 25/100 * 8

= 2

Since 2 is an integer, the mean of the 2nd and the 3rd values in the sorted data set gives the 25th percentile.

( 20 + 25 ) / 2 = 22.5

hence the 25th percentile is 22.50

= 65/100 * 8

= 5.2 ≈ 6

5.6 is rounded to 6, the sixth value is in the sorted data set is 28 hence the 65th percentile is 28

= 75/100 * 8

= 6

Since 6 is an integer, the mean of the 6th and the 7th values in the sorted data set gives the 75th percentile.

( 28 + 30 ) / 2 = 29

hence the 75th percentile is 29

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Answer:

A - True
B - False
C - True

Step-by-step explanation:

A:
Parallel lines never intersect each other because in order for them to be classified as parallel, they must have the same slope, which will never cross over each other at any point; True
B:
A transversal does intersect two or more parallel lines, but crossing two parallel lines at three distinct points is not possible; False
C:
Perpendicular distance between parallel lines is always the same because they have the same slope and therefore are always the same distance away from each other; True

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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The probability that the chicken hatches at least two eggs is 0.406.

The problem states that the number of eggs a chicken hatches is a Poisson random variable. Let λ be the expected number of eggs hatched. Since the probability of hatching no eggs is 0.10, we can set up an equation:

P(X = 0) = e^(-λ) * λ^0 / 0! = 0.10

Solving for λ, we get λ ≈ 2.303. Therefore, the probability of hatching exactly k eggs is:

P(X = k) = e^(-λ) * λ^k / k!

Using this formula, we can calculate the probability of hatching at least two eggs:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

Plugging in the values, we get:

P(X ≥ 2) = 1 - e^(-λ) * λ^0 / 0! - e^(-λ) * λ^1 / 1! = 0.406

Therefore, the probability that the chicken hatches at least two eggs is 0.406

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(x-12)(x-1) is the answer.

Answer:

(x+1)(x+12)

Step-by-step explanation:

Answer:

No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.

Step-by-step explanation:

We have a set of ordered pairs of the form (x, y)

If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.

This means that:

\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b

This is: y_2=by_1y2=by1

Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}

Observe that:

\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31

Then the values of y are not multiplied by a constant amount "b"

Answer:

3/4

Step-by-step explanation:

Answer:

It changes 3 inches

Step-by-step explanation:

Because every time she takes a sip it goes down, I can’t really explain it good but it changes 3 inches as she took 3 sips of water.

Answer:

Step-by-step explanation: 1 sip = 2 in

                                           3 sips = 6 in so 3 sips x 2 inches =  6 inches

Answer:

20 : 50

Step-by-step explanation:

sum the parts of the ratio , 2 + 5 = 7 parts

divide 70 by 7 to find the value of one part of the ratio

70 ÷ 7 = 10 ← value of 1 part of the ratio , then

2 parts = 2 × 10 = 20

5 parts = 5 × 10 = 50

then

50 divided in the ratio 2 : 5 is 20 : 50

Answer:

2340.

Step-by-step explanation:

Using decimal equivalents of the fractions:

Volume of the Shipping box = 3.25 * 3*3,75 = 36.5625 f^3.

Volume of 1 box of fish food = (0.25)^3 = 0.015625

So the answer is 36.5625/ 0.015625

= 2340.

Based on the figure, the statements that are true are

That is, the first, second and fifth statements.

From the image, we will determine the statements that are true based on the figure.

For the first statement -  SV is perpendicular to TP

From the figure,

SV is a line intersecting plane A at point P, at right angle. That is, SV is perpendicular to point P. Then, SV is perpendicular to plane A since point P lies on the plane.

Also, P lies on the plane (plane A); then we can infer that TP is parallel to plane A since point T also lie on the plane (plane A).

Since, SV is perpendicular to the plane, then SV is also perpendicular to TP.

∴ The statement (SV is perpendicular to TP) is true

For the second statement - SV is perpendicular to plane A

As stated above, SV is perpendicular to point P. Since point P lies on the plane (plane A), then SV is perpendicular to plane A.

∴ The statement (SV is perpendicular to plane A) is true

For the third statement - points S, P and Q are collinear

Collinear points are points that lie on the same line.

Points S, P and Q are not collinear because, a single line cannot pass through the three points, that is, the points (S, P, and Q) do not lie on a single line.

∴ The statement (points S, P and Q are collinear) is NOT true

(From the image, an example of points that are collinear are points S, P, and V)

For the fourth statement - points R, T, and U are collinear

As explained above, points R, T, and U are not collinear because, a single line cannot pass through the three points, that is, the points (R, T, and U) do not lie on a single line.

∴ The statement (points R, T and U are collinear) is NOT true

NOTE: (The points only lie in the same plane (plane A), that is, they are coplanar)

For the fifth statement - point P lies on SV and in plane A

Since line SV intersects plane A at point P, that means point P lies in plane A. Also point P lies on line SV since it is on the line as shown in the image.

∴ The statement (point P lies on SV and in plane A) is true

For the sixth statement - points U, S, V, and Q are coplanar

Points or lines are said to be coplanar if they lie in the same plane.

Of the given points, only point U lies in plane A. Points S, V, and Q do not lie in the same plane and as well do not lie in the same plane as point U.

∴ The statement (points U, S, V, and Q are coplanar) is NOT true.

(From the image, an example of points that are coplanar are points U,P,R, and T because they lie on the same plane).

Hence, based on the figure, the statements that are true are the first, second and fifth statements. that is

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The probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be 93%.

For two subsets A and B of the universal set U, we have:

\(\rm n(A \cup B) = n(A) + n(B) - n(A \cap B)\)

A survey was given to adult residents in a particular city.

It found that 22% of the residents regularly use public transportation, and 85% of the residents have the ability to drive.

14% of the residents regularly use public transportation AND have the ability to drive.

Let P(A) be the probability of the adults that uses public transportation regularly and P(B) be the probability of the adults that has the ability to derive.

Then the probability that an adult resident in this city regularly uses public transportation, given that he or she has the ability to drive will be

n(A) = 0.22

n(B) = 0.80

n(A∪B) = 0.14

Then we have

\(n(A \cap B) = 0.22 + 0.85 - 0.14\\\\n(A \cap B) = 0.93\\\\n(A \cap B) = 93\%\)

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The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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