Question 1-3
Noa is making lanterns by covering cylindrical glasses with colored paper. Each glass has a radius of 3.2 inches and a height of 7 inches. What is the approximate surface area of each cylindrical glass? Use 3.14 for pi

Use the formula for the surface area of a cylinder SA = 2h + 2² Round to the nearest whole number

141 in²
64 in²
205 in²
105 in²

Answer: 0.335

Step-by-step explanation:

exponents come first in the order of operation; 10^2=100

now 33.5/100=0.335

Answer: False

Step-by-step explanation:

A cup with a hole in it loses 2 ounces of water in the first minute. This mathematically means

Add -2 (loses ⇒ means getting less)

Then the cup loses 2 ounces of water in the second minute. This mathematically means

Add -2 (loses ⇒ means getting less)

In total,  and means loses 4 ounces in two minutes.

Thus, the statement below does not describe a situation in which opposite quantities combine to make zero, so this statement is false

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

1.70

Step-by-step explanation:

The median formula is :

\(p=\frac{n+1}{2}\)

Answer:

=35

Step-by-step explanation:

5d - 25/5

5(8) -25/5

40 - 5

=35

Answer:

the answer is 35

Step-by-step explanation:

d=8, therefore plug 8 into the equation

5d - \(\frac{25}{5}\)

5(8)-  \(\frac{25}{5}\)

40-5

35

The approximated possible propagated error in computing the volume of the cube is 20.25 .

The approximated possible propagated error in computing the surface area of the cube is 5.4.

The formula's for volume and surface area of cube is as follows,

\(V=a^3\\S=6a^2\)

Where a is the side of the cube.

When you utilize those questionable measurements to calculate something else, error propagation (or uncertainty propagation) occurs to measurement mistakes.

The error in the edge of the cube is 0.03 inch, so

\(a=15\pm0.03\)

Δa=0.03 inches

Now, differentiating the volume function of cube,

\(\frac{dV}{da} =3a^2\\dV=3a^2da\)

Putting the values,

Δ\(dV=3(15)^2\times0.03\\dV=20.25\)

Now, differentiating the surface area function of cube,

\(\frac{dS}{da}=12a\)

Putting the values,

\(dS=12\times15\times da\\dS=12\times15\times 0.03\\dS=5.4\)

Therefore, The approximated possible propagated error in computing the volume of the cube is 20.25 and The approximated possible propagated error in computing the surface area of the cube is 5.4.

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Answer:

1. R

2.I

3. I

4.R

Step-by-step explanation:

Answer:

,

Step-by-step explanation:

answer. is in the image

Answer:

i genuinlly dont know what you mean

Step-by-step explanation:

The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4

If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).

However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.

Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).

Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).

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The distance between the third traffic light from the second traffic light is 35 yards.

Three traffic lights on a street span 120 yards.

If the second traffic light is 85 yards away from the first.

Therefore, the third traffic light is 120 - 85 =35 yards away from the second traffic light.

This means that the third traffic light is directly adjacent to the first traffic light. The third traffic light from the second traffic light is at the same location as the first traffic light.

Thus, the distance between the third traffic light from the second traffic light is 35 yards.

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Answer: You need more information to solve this.

Step-by-step explanation:

a= how many cards you have overall

B= how many blue cards there are

C= how many blue cards you have after you took one out

D= how many cards you have overall after you took one out

B/a*C/D= your answer

The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

The 10 digits are 0, 1, 2, 3, 4, 5, 6,7, 8, 9. From these 10 digits 3 digits are selected.

Total number of ways of selecting a three-digit number = Number of ways of selecting a digit from 10 digits for each place(one's, ten's and hundred's place)

Thus a three-digit number can be selected in 10 x 10 x 10 = 1000 ways.

So there are 1000 possibilities for a three digit number.

From this only one choice matches exactly with the winning number.

So the number of favorable outcome = 1

Hence, The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

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Based on the given clues, we can determine the person, drink, and price paid for each individual:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

From clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.

From clue 2, Kelli paid $6.99.

From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.

From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.

Therefore, the final assignments are:

Calvin: Root Beer, $4.99

Dean: Lemonade, $7.99

Kelli: Water, $6.99

Lee: Iced Tea, $5.99

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The least positive integer that will be divisible by both 15 and 35 will be 105.

The given integers are 15 and 35.
As we know that the least positive integer will be divisible by both 15 and 35 will be LCM ( least common factor) of 15 and 35.
The least common multiple of LCM of two integers is the common multiple of two numbers such that it is the least among all common multiples.
For example, LCM of 3 and 5 will be 15 because among all common multiples of 3 and 5, 15 will be least common multiple.
For LCM of 15 and 35, let's write multiples of both the numbers.
Multiples of 15 = 15,30,45,60,75,90,105,120,135,150,165,180,195,210,....
Multiples of 35= 35,70,105,140,175,210,...
We can see that 105 and 210 are two common multiples out of which 105 is the least multiple.
Therefore, the least positive integer that will be divisible by both 15 and 35 will be 105.

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answer:

d). Restaurant 2, because the range of Restaurant 2 is greater

Work Shown:

C = 2*pi*r

C = 2*(22/7)*28

C = 176

The circumference is about 176 feet. It is the approximate distance around the circle's edge, aka the perimeter. It is approximate since pi = 22/7 is approximate.

Answer:

10

Step-by-step explanation:

2 legs because you walked into the room and 4 legs of the bed and 4 legs of the chair.

The answer will be either 8 or 4 or 0.

What is a riddle?

A riddle is an intentionally framed ambiguous question or statement that requires ingenuity and critical thinking to solve or understand.

In the given riddle, all the two dogs, four horses, one giraffe and a duck are lying on the bed. Three chickens are flying over a chair.

Assumptions:

1) Bed is placed on the ground.

2) Bed and chair considered are of standard type.

case1:

If we consider the legs of only living organisms, the number of legs on the ground at the given instant will be 0.

case2:

If that's not the case, then a typical chair will have four legs, and a standard bed will also have four legs. So a total of 8 legs will be on the ground or floor of the room.

case3:

And if we consider the possibility of the chair being placed on the bed, then the legs of the chair will not touch the ground. So a total of 4 legs will be on the ground or floor of the room.

∴ From different perspectives, the number of legs on the ground will be either 8 or 4 or 0.

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Data are collected about a population. Thus, the correct option is D.

Because it is sometimes difficult, if not impossible, to gather data on every member of a community, experiments and observational studies frequently collect data from a sample of the population. As a result, to conduct a study, researchers usually choose a sample of the population.

Both experiments and observational studies involve gathering data and analyzing it to draw conclusions about the population from which the sample was taken, so the other characteristics mentioned in the question are shared by both types of studies.

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Answer:

\((-1.3,-3.69)\)

Step-by-step explanation:

Take the derivative of the function and set it equal to 0.

\(f(x)=x^2+2.6x-2\)

\(f'(x)=2x+2.6 = 0\)

Solve for x.

\(2x+2.6=0\\2x=-2.6\\x=-1.3\)

Find \(f(-1.3)\)

\(f(-1.3)=(-1.3)^2+2.6(-1.3)-2\)

\(f(-1.3)=-3.69\)

Answer:

I believe it would be $31.39

Step-by-step explanation:

Original Price - $45

Price With Sale And Tax $31.39

Hope that helps!

Answer:

A = 7 * ( T * 0.15 )

Step-by-step explanation:

In this question, since the actual square footage of the rooms is not provided we can instead create the following formula which will help you calculate the total amount that you will spend on flooring these rooms.

A = 7 * ( T * 0.15 )

In this formula, variable A represents the total dollar amount that will be spent on flooring while T represents the total square footage of the entire home. T is multiplied by 0.15 which is the 15% of the home that makes up the living and dining rooms and then this square footage is multiplied by the cost of the flooring per square footage. Ultimately providing you with the total cost.

The reported rate of return is not reasonable i.e. the rate of return on the investment is  -0.20% .

What is Return ?

The annual return on an investment, expressed as a percentage of the initial investment.an investment of $200 earns $12 for a year, so the Rate of Return is 12/200 = 0.06 = 6%.

Given, for an investment of $26,245, a quarterly statement reports that the account balance is $26,192 and rate of return for the same quarter was -0.02 %.

Here, we'll calculate the rate of return as follows:

Rate of return = (change in investment/ Initial investment) × 100

                        = ($26,192 - $26,245)/$26,245 × 100

                        = -53/26245 × 100

                        = - 0.20 %

Hence, The correct rate f return will be -0.20 %, not -0.02%.

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Answer:

Muercury 3

Venus 6

Mars 2

pluto 5

Jupiter 1

Nucleus4

Step-by-step explanation:

To find the work done by the material, we can use the equation for work in terms of pressure and volume:

Work = -pΔV

However, in this case, the pressure remains constant, so the equation simplifies to:

Work = -p(V2 - V1)

Given:

Temperature T1 = 272 K

Temperature T2 = 300 K

Pressure p = constant

To find the work done, we need to evaluate the change in volume (ΔV) between the initial and final states. To do this, we can rearrange the equation given to solve for ΔV:

p = A / (V1 * T1) - B / (V1 * T1^2)

Simplifying, we have:

(V2 - V1) = A / (p * T2) - B / (p * T2^2)

Now, we can substitute the given values into the equation and calculate the work done:

Work = -p(V2 - V1)

Remember that pressure (p) is constant, so we can substitute it directly into the equation.

Make sure to provide the appropriate units for pressure, volume, and work in order to obtain the correct numerical value.

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The expression is equivalent to 45m^-6p^2v^12/15m^-2p^8v^-4 is Option b 3v^16/m^4p^6 .

Given :

expression is equivalent to for all values of m , p , and v where the expression is defined

= ( 45m^-6 ) * p^2 * v^12 / 15m^-2 * p^8 * v^-4

= ( 45 / 15 ) ( m^-6 / m^-2 ) ( p^2 / p^8 ) ( v^12 / v^-4 )

= 3 ( m^-6 - ( -2 ) ( p^2 - 8 ) ( v^12 - ( - 4 )

= 3 ( m^-6 + 2 ) ( p^-6 ) ( v^12 + 4 )

= 3 ( m^-4 ) ( p^-6 ) ( v^16)

= 3 * v^16 / m^4 * p^6

= 3v^16 / m^4p^6

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The total area of the composite figure is 258 squared centimeters.

The figure in the diagram is composed of two triangle and a rectangle?

The area of a triangle = 1/2 × base × height

Area of a rectangle = length × width

From the diagram;

Triangle 1

Triangle 2

Rectangle

To find the area of the composite figure, we find the area of the two triangle and rectangle and add.

Area = area of triangle 1 + area of triangle 2 + area of rectangle.

Area = ( 1/2 × base × height ) + ( 1/2 × base × height ) + ( length × width )

Area = ( 1/2 × 4 × 12 ) + ( 1/2 × 12 × 3 ) + ( 18 × 12 )

Area = ( 2 × 12 ) + ( 6 × 3 ) + ( 18 × 12 )

Area = 24 + 18 + 216

Area = 258cm²

Therefore, the area is 258 squared centimeters.

Option C) 258cm² is the correct answer.

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Answer:

258cm^2

Step-by-step explanation: