1.45 rounded to the nearest hundredth

Answer:

5.77in

Step-by-step explanation:

A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in

Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in

The Hutchins Commission, a learned group in the 1940s, recommended that journalists and media professionals prioritize responsible decision-making that serves society.

The Hutchins Commission, formally known as the Commission on Freedom of the Press, was a group of scholars and professionals established in the 1940s to examine and make recommendations regarding the role of the media in democratic societies.

Chaired by Robert M. Hutchins, the commission aimed to address concerns about the media's influence and responsibility.

The commission's key recommendation was that journalists and other media personnel should prioritize their decisions based on the responsible service to society.

They advocated for a media system that serves the public interest, encourages diversity of viewpoints, and promotes the democratic ideals of informed citizenry.

The commission recognized the significant impact of the media on shaping public opinion and believed that media professionals had a responsibility to use their power ethically and responsibly.

The Hutchins Commission's recommendations emphasized the importance of maintaining an informed and engaged citizenry by providing accurate, unbiased, and diverse information.

They called for media professionals to adhere to high ethical standards, ensure the fair representation of diverse perspectives, and avoid practices that could manipulate or exploit public opinion.

The commission's work contributed to ongoing discussions about media responsibility, freedom of the press, and the role of journalism in democratic societies.

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Answer:

the Answer is A

Step-by-step explanation:

(a) The 80% confidence interval for the average length of stay is [2.567, 3.833]. We are 80% confident that the true average falls within this range. (b) The 99% confidence interval is [1.860, 4.540]. We are 99% confident that the true average falls within this range. (c) To estimate the average within 0.2 with 90% confidence, a sample size of approximately 32 patients is needed.

(a) To calculate the 80% confidence interval, we use the formula

Confidence Interval = Sample Mean ± Margin of Error

The margin of error can be found using the formula:

Margin of Error = Critical Value * (Standard Deviation / sqrt(sample size))

For an 80% confidence level, the critical value (obtained from the t-distribution with 26 degrees of freedom) is approximately 1.318.

Plugging in the values

Margin of Error = 1.318 * (1.6 / √(27)) ≈ 0.633

So the 80% confidence interval is

3.2 ± 0.633 = [2.567, 3.833]

(b) For the 99% confidence interval, we use the same formula but with a different critical value. For a 99% confidence level, the critical value (from the t-distribution with 26 degrees of freedom) is approximately 2.787.

Margin of Error = 2.787 * (1.6 / √(27)) ≈ 1.340

Therefore, the 99% confidence interval is

3.2 ± 1.340 = [1.860, 4.540]

(c) To determine the required sample size to estimate the true average length of stay within 0.2 days with 90% confidence, we use the formula:

n = (Z * σ / E)²

Where Z is the critical value (1.645 for a 90% confidence level), σ is the standard deviation (1.6 days), and E is the desired margin of error (0.2 days).

Plugging in the values

n = (1.645 * 1.6 / 0.2)² ≈ 31.985

Therefore, we need a sample size of approximately 32 patients.

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If the distance is 45 miles and speed of both cyclist is 14 and 16 miles per hour then they will take time of 1.5 hour to meet.

Given First cyclist is riding at 14 miles per hour and second at 16 miles per hour. The distance is 45 miles.

We know that speed is the distance covered by an object in a particular period of time.

Speed=distance/time.

It is expressed as kilometers per hour or miles per hour, etc.

If both riders are riding towards each other then the speed will be 16+14 =30 miles per hour.

Distance=45 miles.

Time =distance/speed

=45/30

=1.5

Hence if first cyclist is riding at 14 miles per hour and second is riding at 14 miles per hour and the distance is 45 miles then they will meet after 1.5 hours.

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To find the average value of the function y = 9e^(-x) over the interval [0, 2], we need to evaluate the definite integral of the function over that interval and divide it by the length of the interval.

The average value represents the constant value that, if multiplied by the length of the interval, would yield the same area under the curve.

To find the average value, we calculate the definite integral of the function y = 9e^(-x) over the interval [0, 2]. The integral of the function is given by:

∫(0 to 2) 9e^(-x) dx.

Evaluating this definite integral gives us the area under the curve between x = 0 and x = 2. Dividing this area by the length of the interval (2 - 0 = 2) gives us the average value of the function over the interval [0, 2].

To calculate the integral and obtain the exact average value, we perform the integration and divide the result by 2:

(1/2) * ∫(0 to 2) 9e^(-x) dx.

The exact answer for the average value will be obtained by evaluating this integral and simplifying the expression.

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Hi!1200 centimetres are equal to 12 meters.

Answer:

1200cm

Step-by-step explanation:

1m = 100cm

12m = 1200cm

Answer:

c i think this is thew answer

Step-by-step explanation:

If the area of the square is 20 m² then the side length of the square is √20 m. Then the correct option is B.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

The area of a square is 20 m².

Then the area of the square s given as

Area = a²

where a is the side length of the square.

a² = 20

a = √20 m

The side length of the square is √20 m.

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The statement best describing is only statistics for the ten states are reported

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. Statistics can be used to make future predictions calculate the likelihood that a given event will occur, or provide information about a survey. It primarily serves to convey knowledge, compute probabilities, and store records. In essence, it improves our understanding of the world by using numbers and other quantitative data.

In the given case, a total of ten states were selected by Judy and then the statical analysis was made. As per the given options, the correct option is that only statistics for the ten states are reported. This is because the number of terms, which are the states is ten.

Complete Question

Judy selected ten states and then calculated statistics on them. Which statement best describes the resulting statistics?

Only statistics for the ten states are reported.

No statistics are reported.

Statistics for all fifty U.S. states are reported.

The number of states included in the report depends on whether an attribute, interactive or spatial query was used to make the selection.

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Answer:

θ = 67.4°

Step-by-step explanation:

using the SOHCAHTOA method,

Here opposite is 12 cm, hypotenuse is 13 cm, adjacent is 5 cm.

Using the formula:

\(sin(\beta ) = \frac{oppsoite }{hypotenuse}\)

\(sin(\beta ) = \frac{12}{13}\)

\(\beta = sin^{-1}(\frac{12}{13} )\)

β = 67.4°

Right angle triangle so apply trigonometric identies.

\(\\ \tt\hookrightarrow cos\theta=\dfrac{5}{13}\)

\(\\ \tt\hookrightarrow cos\theta=0.37\)

\(\\ \tt\hookrightarrow \theta=cos^{-1}(0.37)\)

\(\\ \tt\hookrightarrow \theta=68.3\)

Answer:

9 people liked neither rugby or football or cricket.

Answer:

−7m−2

Step-by-step explanation:

Combine Like Terms:

=m+−m+−7m+−2

=(m+−m+−7m)+(−2)

=−7m+−2

The expected number of tosses until either a head comes up or four tails are obtained is 7/4

Let X be the random variable representing the number of tosses until either a head comes up or four tails are obtained.

Let's consider the first toss. There are two possible outcomes: heads or tails. If a head comes up on the first toss, then we stop and X = 1. If a tail comes up, we need to continue tossing until we get four tails in a row or a head.

Let Y be the random variable representing the number of additional tosses needed if the first toss is a tail. There are two possible outcomes for the second toss: heads or tails. If a head comes up, we stop and X = 2. If a tail comes up, we need to continue tossing until we get three tails in a row or a head.

Similarly, we can define Z as the random variable representing the number of additional tosses needed if the first two tosses are tails. There are two possible outcomes for the third toss: heads or tails. If a head comes up, we stop and X = 3. If a tail comes up, we need to continue tossing until we get two tails in a row or a head.

Finally, let W be the random variable representing the number of additional tosses needed if the first three tosses are tails. There are two possible outcomes for the fourth toss: heads or tails. If a head comes up, we stop and X = 4. If a tail comes up, we need to continue tossing until we get four tails in a row.

We can write X in terms of Y, Z, and W as follows

X = 1 + Y if the first toss is heads

X = 1 + 1 + Z if the first two tosses are tails and the third toss is heads

X = 1 + 1 + 1 + W if the first three tosses are tails and the fourth toss is heads

X = 1 + 1 + 1 + 1 if the first four tosses are tails

Now, we need to compute the expected values of Y, Z, and W.

If the first toss is a tail, the probability of getting another tail on the second toss is 1/2, and the probability of getting a head is also 1/2. Therefore,

E[Y] = 1/2(1) + 1/2(1 + Z)

If the first two tosses are tails, the probability of getting another tail on the third toss is 1/2, and the probability of getting a head is also 1/2. Therefore,

E[Z] = 1/2(1) + 1/2(1 + W)

If the first three tosses are tails, the probability of getting another tail on the fourth toss is 1/2, and the probability of getting a head is also 1/2. Therefore,

E[W] = 1/2(1) + 1/2(4)

Note that the expected value of W is 2, not 3, because if we get three tails in a row, we stop and X = 4.

Putting it all together, we have:

E[X] = 1/2(1) + 1/2(1 + E[Z])

= 1/2(1) + 1/2(1 + 1/2(1) + 1/2(1 + E[W]))

= 1/2(1) + 1/2(1 + 1/2(1) + 1/2(1 + 2))

= 7/4

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Answer:

  A = (4π/3 -√3) m^2

Step-by-step explanation:

The area of a sector with a given radius and arc measure is given by ...

  A = (1/2)r^2(θ -sin(θ))

Filling in the given values, the area is ...

  A = (1/2)(2 m)^2(2π/3 -sin(2π/3)) = 2(2π/3 -√3/2) m^2

  A = (4π/3 -√3) m^2 . . . . . matches choice A

Answer:

That depends on how accurate you are with pen and paper.

You can tell it's a growing exponential, so the form is the traditional one. If you are particularly inclined in crunching numbers and working on a grid I would pick 0, 1 and -1, 1/2 and -1/2, a few positive integers, and that's it.

If not, i would be satisfied saying that when x = 0 (ie, the y intercept) y= 3, and that's all. Then, my drawing is made with paint, don't expect a masterpiece.

The determinant of 2A, denoted as |2A|, can be calculated based on the given information. The correct answer is D. 16.

The determinant of a 3x3 matrix A can be calculated using the following formula :|A| = a(ei - fh) - b(di - fg) + c(dh - eg). In this case, the matrix A has a size of 3x3 and its determinant |A| is given as 3.

So we know:

|A| = a(ei - fh) - b(di - fg) + c(dh - eg) = 3

Now we need to find the determinant of 2A, which can be obtained by multiplying each element of A by 2:

2A = |2a 2b 2c|

|2d 2e 2f|

|2g 2h 2i|

Using the determinant formula, we can calculate:

det|2A|= (2a)(2e)(2i) - (2b)(2d)(2i) + (2c)(2d)(2h) - (2c)(2e)(2g)

= 8(aei - bdi + cdh - ceg)

Since |A| = 3, we have:

3 = aei - bdi + cdh - ceg

Now, substituting this value into the equation for det(2A):

det|2A| = 8(3) = 24

Therefore, the determinant of 2A is 24, which corresponds to option D. 16

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The value of the composite function (f o g)(x) is 48

The functions are given as

f(x) = 3x²

g(x) = √2x

The composite function definition is given as

(f o g)(x)

This composite function is calculated using the following composite function formula

(f o g)(x) = f(g(x))

So, we have:

(f o g)(x) = 3(g(x))²

Substitute the known values in the above equation

So, we have the following equation

(f o g)(x) = 3(√2x)²

Set x = 8

So, we have

(f o g)(x) = 3(√(2 x 8))²

Evaluate the expression

(f o g)(x) = 48

Hence, the composite function (f o g)(x) is  48

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Answer:

n-16=29 doesn't belong

Step-by-step explanation:

When you solve all the equations, you get n=13, but n can't equal 13 when you plug it in the equation n-16=29. N would have to equal 45.

This shows that she covered 0.4 miles in 10mins

Speed is defined as the rate of change of distance.

If it takes 24 minutes for jana to walk one mile, the rate of Jana is expressed as;

Rate= 24/1 mile

Rate = 24min/mile

In order to determine the distance she walk in 10 minutes, we will have;

Distance in 10min = 10/24

Distance in 10 min = 0.4 miles

This shows that she covered 0.4 miles in 10mins

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this is so easy it's: 1015

your welcome

An expected 479,512 duplicates of the book have been offered to date. The principal month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date.

On the off chance that the quantity of duplicates sold in the main month of delivery is 38,900 and addresses 8.1% of the absolute number of duplicates offered to date, then, at that point, we can utilize this data to appraise the all out number of duplicates offered to date. To do as such, we partition the quantity of duplicates sold in the primary month by the rate portrayal:

38,900 ÷ 0.081 = 479,512

A book has sold 38,900 duplicates in its most memorable month of delivery. This is viewed as 8.1% of the absolute number of duplicates offered to date. To decide the absolute number of duplicates offered, we can utilize this data to appraise the quantity of duplicates offered to date. To do this, we take the quantity of duplicates sold in the main month and gap it by the rate portrayal of the primary month deals comparable to add up to deals. Partitioning 38,900 by 0.081 provides us with an expected absolute of 479,512 duplicates offered to date. This assessment expects that the pace of deals in the principal month is illustrative of the general deals pattern. In any case, minus any additional data about deals in ensuing months, this assessment ought to be taken with alert.

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Answer:

wheres the table?

i cant see the table

According to the given statement you can substitute 100,000 for y and solve for x to determine the predicted time when production will reach 100,000 metric tons.

To predict when production is likely to reach 100,000 metric tons using a linear model, you would need to have data points that represent the relationship between time and production.

By fitting a linear regression model to this data, you can estimate the time when production will reach 100,000 metric tons based on the trend of the data.

The linear model will provide an equation in the form of y = mx + b, where y represents production, x represents time, m represents the slope of the line, and b represents the y-intercept.

Once you have this equation, you can substitute 100,000 for y and solve for x to determine the predicted time when production will reach 100,000 metric tons.

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Answer:

Step-by-step explanation:

6/7 + 5/8

= 6*8 + 5*7 / 7*8

= 42 + 35 / 56

=77/56

=1.37

Answer:

Step-by-step explanation:

\(\frac{6}{7} +\frac{5}{8}\)

then  you have to multiply 6 by 8 and multiply 5 by 8 and divide by 7 times 8

\(\frac{6*8+7*5}{7*8}\)

= \(\frac{48+35}{56}\)

=\(\frac{83}{56}\)

=1.482≈1.48

hope it's helpful

THANK YOU.

Answer:

22 gallons

Step-by-step explanation:

First make the fractions match by finding a common denominator so they are easier to hand.  1/6 can be used as the common denominator so you'll have to convert 2/3.  Multiply the top and bottom by 2 and you'll have 4/6.

So now you know by adding 11 gallons, you ended up with a total of 4/6 of a full container.  If you subtract off what was in the tank originally ( 1/6 ), you'll know how much of the tank got filled with the 11 gallons.

4/6 - 1/6 = 3/6       3/6 is equal to 1/2

So now you know 11 gallons is equal to 1/2 of the container.

So the tank will hold twice as much as that or 22 gallons.

Answer:

$14,137.3

Step-by-step explanation:

21450*0.92^5

so put the og value, then the value its gonna have but in decimal form - so 92% would be 0.92 and make the amount of years the square

solve

$14,137.3

The value of the car after five years will be $14135.5.

Compound interest is defined as interest paid on the original principal and the interest earn on interest of principal.

The percentage is defined as the ratio expressed as a fraction of 100.

The percentage is denoted by sign of %.

For example, if XYZ scored 46% marks in his test, it means that he scored 46 marks out of 100. It is written as 46/100 in the fraction form and 46:100 in terms of ratio.

The initial value of car (P) = $21,450  

The rate of depreciation of car is 8% per year.

Time period (n) = 5 years  

The value of the car after five years

A = P ( 1 - r/100 )ⁿ  

Substitute the values of P, r and n in formula

A = 21450 ( 1 - 8/100 )⁵

A = 21450 ( 1 - 0.08 )⁵

A = 21450 ( 0.92 )⁵  

A = 21450 ( 0.659 )

A = 14135.5

Hence, the value of the car after five years will be $14135.5.

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