An orchard has 28 apple trees and 12 pear trees. Select all the expressions that show the ratio of apple trees to pear trees.

In a multiple-choice test that has 5 questions, each with 5 possible answers, the probability of guessing all the questions correctly can be found using the formula:p = (1/5) × (1/5) × (1/5) × (1/5) × (1/5) = 1/3125.

The probability of guessing one question correctly is 1/5 since there are five possible answers. Since there are five questions, we multiply the probability by itself five times.

Therefore, the probability of guessing all the questions correctly is 1/3125, which is approximately 0.00032. This means that the chance of guessing all the questions correctly by random chance is very low.

This indicates that one should have studied for the test rather than relying solely on guesswork.

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Answer:

1/12

Step-by-step explanation:

The probality of getting a 3 on a die is ⅙ since they is only one 3 on the 6 sided die. So that will mean there is a 1 in 6 chance to get a 3.

Then the probability of getting tails on a coin is ½ because a coin on has 2 sides.

The probability of getting the 3 on the die and a tail on a coin will be the probability of getting the 3 on the die times the probability of getting the tails on the coin.

⅙×½=1/12

Answer:

Maggie is 13 years old.

Step-by-step explanation:

1M + 1B = 62

rearrange to get:

1B = 62 - 1M

4M - 3 = 1B

substitute B with 62 - 1M so there is only one variable. this gives:

4M - 3 = 62 - 1M

Get all the variables on one side:

4M + 1M - 3 = 62

Get all non variables on the other side:

4M + 1M = 62 + 3

simplify:

5M = 65

Divide both sides by 5 to get the M by itself:

M = 13.

BONUS:

M + B = 62

B = 49

So her brother is 49 years old.

Maggie is 13 years old.

Engineers can be held most morally blameworthy for foreseeable harms resulting from technological innovations, engineers have a responsibility to anticipate the potential consequences of their work,

and to take steps to mitigate those consequences. If they fail to do so, and their work results in harm, they can be held morally blameworthy. When engineers develop new technologies, they have a responsibility to consider the potential consequences of their work.

They need to think about how their technology could be used, and whether it could be used to harm people or the environment.

They also need to consider how their technology could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their work results in harm, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

For example, engineers who develop new weapons systems have a responsibility to consider the potential consequences of their work. They need to think about how their weapons could be used,

and whether they could be used to kill or injure innocent people. They also need to consider how their weapons could be misused, and what steps they can take to prevent misuse.

If engineers fail to consider the potential consequences of their work, and their weapons are used to kill or injure innocent people, they can be held morally blameworthy. This is because they have a duty to protect the public from harm, and they have failed to fulfill that duty.

It is important to note that engineers cannot be held morally blameworthy for unforeseeable harms. This is because they did not have the opportunity to anticipate the harm, and they could not have taken steps to prevent it.

For example, engineers who develop new medical treatments cannot be held morally blameworthy if the treatments have unforeseen side effects. This is because the engineers did not have the opportunity to anticipate the side effects, and they could not have taken steps to prevent them.

In conclusion, engineers can be held morally blameworthy for foreseeable harms resulting from technological innovations.

This is because they have a responsibility to anticipate the potential consequences of their work, and to take steps to mitigate those consequences.

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Answer:

The equation of the line that passes through (9,-2)&(4,2) is

y=-4/5x+26/5

Step-by-step explanation:

m=y²-y¹/x²-x¹

m=2-(-2)/4-9

m=4/-5

m=-4/5

y-y=m(x-x¹)

y-2=-4/5(x-4)

y-2=-4/5x+16/5

+2 +2

y=-4/5x+26/5

The given statements:

1) ΔQRS ≅ ΔSTU (according to the ASA axiom)

2) The congruent ∠S: ∠RSQ ≅ ∠UST (Vertical angles)

The ASA axiom states that "two triangles are said to be congruent if two pairs of corresponding angles and the sides between these angles are equal".

It is given that,

S is the midpoint of QT.

So, SQ ≅ ST <S>

Since ∠S is at the intersection of two transversal lines, ∠RSQ ≅ ∠UST <A>.  This is beacuse they are vertically opposite.

And QT is the transverse line for the parallel lines, QR║UT. So, the alternate angles(interior) are congruent. I.e., ∠SQR ≅ ∠UTS <A>.

From this, the given triangles have two equal corresponding angles and congruent sides in between them.

So, ΔQRS ≅ ΔSTU according to ASA axiom.

Therefore, ΔQRS ≅ ΔSTU and ∠RSQ ≅ ∠UST.

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Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

What is statistics?

Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of numerical data. It involves the use of methods and techniques to gather, summarize, and draw conclusions from data.

To find the sample size required for constructing a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, we can use the following formula:

n = [(z-score)² * p * (1-p)] / (margin of error)²

where:

n is the sample size

z-score is the critical value for a 95% confidence interval, which is 1.96

p is the prior estimate of the proportion, which is 0.15

margin of error is 0.02

Plugging in the values, we get:

n = [(1.96)² * 0.15 * (1-0.15)] / (0.02)²

n = 446.25

Rounding up to the nearest whole number, we get a required sample size of 447.

Therefore, Alan would need a sample size of at least 447 to construct a 95% confidence interval for the proportion of those testing positive for COVID-19 who require hospitalization with a margin of error no more than 2%, using a prior estimate of 15%.

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It takes 53 years until we run out of gas.

Given,

Reserves of natural gas = 6500 TCF

Consumption per year = 123 TCF

Therefore,

years left ( x )= Reserves of natural gas / Consumption per year  

                     = 6500/123

                     = 52.8 years

                  x = 53 years approximately

So, it takes 53 years until we run out of gas at this rate of consumption.

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If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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The equation which correctly models the situation in discuss is; P = 2.5(1.012)^y.

If follows from the task content that the situation given is that The number of people in the world was 2.5 billion in 1950.

Afterwards, The population has grown by 1.2% each year since then. Hence it follows that the function is an exponential one whose factor is; (100+1.2)%= 1.012.

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It can be concluded that both histograms display similar information.

Histograms with 8 and 16 bins for the data in exercise 6-32 are as follows:

8 bins histogram:

16 bins histogram:

Both histograms display similar information.

Both the histograms show the data is skewed to the right and most of the values are concentrated between 10 and 20.

Both of the histograms also display a similar range of data and similar frequency distribution.

Therefore, it can be concluded that both histograms display similar information.

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Answer:

it needed your to focus on school work , homework and work hard to make yourself feel ready

Answer: d.=28 The last one

Step-by-step explanation:

3.3=9 +5 =14 x 2 =28

Answer:

Step-by-step explanation:

= (3 + √3) (2 - √3)

= 6 - 3√3 + 2√3 - 3

= 3 - 3√3 + 2√3

= 3 - √3 (3 - 2)

= 3 - √3

= 3 - 1.732 ...... (√3 = 1.732)

= 1.268

1st 2nd and last

Step-by-step explanation:

simplify your inequality

6x >= 3 + 4(2x -1)

6x >= 3 + 8x - 4

2x >= 1

x >= 1/2

so indeed the

1st one , the 2nd and the last one

first, second, last

Hope it helps

There will be 6.3 pints of blue paint to paint her bedroom walls.

Calculation means when manipulating numbers in a certain way to get an answer.

This question can be solved using a system of equations.

x is the amount of white paint used.

y is the amount of blue paint used.

6.3 pints of blue paint and white paint to paint her bedroom walls.

x + y = 6.3

5 of this amount is white paint, and the rest is blue paint.

The rest is 1- 5 = 4

x + y = 6.3

y/4 + y = 6.3

y + 4y/4 = 6.3

4y = 4 x 6.3

y = 4 x 6.3 /4

y = 6.3

Thus, 6.3 pints of blue paint to paint her bedroom walls.

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Answer:

the answer is 7,184.47

Step-by-step explanation:

Answer:

-13.4+2.3c

Step-by-step explanation:

Add the like terms.

-6.5-5.1-1.8=-13.4

-13.4+2.3c

Hope this helps!

If not, I am sorry.

To match the capital budgeting method to its specific characteristic, we need to consider the characteristics of different capital budgeting methods.

Here are the commonly used capital budgeting methods and their characteristics:

Payback Period:

Characteristic: Measures the time required to recover the initial investment.

Description: The payback period method calculates the time it takes for a project to generate cash flows that equal or exceed the initial investment. It focuses on the time aspect and provides a quick assessment of liquidity and risk.

Net Present Value (NPV):

Characteristic: Incorporates the time value of money and provides an absolute dollar value.

Description: NPV calculates the present value of cash inflows and outflows over the project's life, taking into account the time value of money. It helps determine the project's profitability and indicates the amount of value created or lost.

Internal Rate of Return (IRR):

Characteristic: Considers the discount rate at which NPV equals zero.

Description: IRR is the discount rate that makes the NPV of a project equal to zero. It represents the project's expected rate of return and compares it to the required rate of return or the cost of capital. It helps determine the feasibility and attractiveness of the project.

Profitability Index (PI):

Characteristic: Measures the value created per unit of investment.

Description: The profitability index calculates the present value of future cash flows per unit of initial investment. It is obtained by dividing the present value of cash inflows by the initial investment. A profitability index greater than 1 indicates a positive net present value.

Accounting Rate of Return (ARR):

Characteristic: Focuses on the accounting profitability of the project.

Description: ARR measures the average annual profit generated by a project as a percentage of the initial investment or average investment. It assesses the project's profitability based on accounting figures such as net income or operating profit.

By matching the methods to their specific characteristics, we can summarize them as follows:

Payback Period: Measures the time required to recover the initial investment.

Net Present Value (NPV): Incorporates the time value of money and provides an absolute dollar value.

Internal Rate of Return (IRR): Considers the discount rate at which NPV equals zero.

Profitability Index (PI): Measures the value created per unit of investment.

Accounting Rate of Return (ARR): Focuses on the accounting profitability of the project.

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Hi there!

The next 2 terms are 250 and 1,250.

We have a geometric sequence, which means we use multiplication or division to get to the next term.

Here, we multiply by 5 to get to the next term.

So we multiply 50 by 5:

50*5=250

We multiply 250 by 5 to get to the next term:

250*5=1,250

And we're done!

Hope this helps!

~Just a felicitous girlie

#HaveASplendidDay

\(SilentNature :)\)

Answer:

250, 1250

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 5 gives the next term.

Hope that helps!

Answer:

5 ounces if you meant 2/5 of a serving is 2 ounces of pasta

Step-by-step explanation:

Answer:

2divided by 2/5 equals 1/5

Step-by-step explanation:

I'm not 100% positive 91%

The information about the metal object that would be most useful in determining if Vivienne's hypothesis is correct is its density. Therefore, the correct option is D.

This is because density is a measure of an object's mass relative to its volume. Since density is an intrinsic property of the material from which the object is made, it can help determine what type of metal the object is. Furthermore, since copper has a relatively high density, knowing the density of the metal object can help determine whether or not it is made of copper.

Density is a physical property that describes the mass per unit volume of a substance. The term density is used to describe the mass of an object per unit volume. The formula for calculating density is:

Density = mass/volume

Therefore, to determine whether the object is a copper penny that was run over by a train, we need to determine its density. Hence, the correct answer is option D.

Note: The question is incomplete. The complete question probably is: Vivienne noticed a metal object lying by the railroad tracks. She believes the object may have originally been a copper penny that was run over by a train. What information about the metal object would be most useful in determining if her hypothesis is correct? A. its mass B. its texture C. its volume D. its density.

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Fig. 2.6 alone does not provide sufficient information to calculate the percent elongation of materials. Percent elongation is a measure of the increase in length of a material after it has been subjected to a tensile load, and is calculated by dividing the increase in length by the original length and multiplying by 100.

Fig. 2.6 shows stress-strain curves for different materials, which provide information about the relationship between stress and strain for those materials. While the curve shape can provide some insight into the behavior of the material under load, it does not provide information about the original length or the change in length of the material, which are necessary to calculate percent elongation.

In order to calculate percent elongation, additional information about the material's original length and the change in length after a tensile load is required. This information can be obtained through laboratory testing or from material specifications provided by the manufacturer.

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Answer:

See below

Step-by-step explanation:

You can always plug in x's and solve for y.

Answer:

Step-by-step explanation:

Ok:

1. This is a percent problem!

45/100*15=

675/100=

6.75

2. Subtract:

15-6.75=

8.25$

Answer: 8.25$

Answer:

2048

Step-by-step explanation:

Formula for volume of a sphere is given:

V = 4/3πr^3

Where r = radius

The sphere shown has a given radius of 8

All we have to do to find the volume of the sphere is simply plug in the given value of the radius (8) into the volume of a sphere formula

(Note it says use 3 for π )

V = 4/3(3)r^3

Substitute 8 for r

V = 4/3(3)(8)^3

Plug this into a calculator and you get that the volume is 2048

Answer:

2,048in³

Step-by-step explanation:

The formula to find the volume of the sphere is already given to you in the problem. All we need to do is substitute and solve.

V = 4/3π(8)³

V = 4/3π(512)

V ≈ 682.67(3)

V ≈ 2,048

Best of Luck!

Answer:

x>3

Step-by-step explanation:

basically just divide that 4 joint to 12 which is 3