A box with an open top has vertical sides, a square bottom, and a volume of 32 cubic meters. If the box has the least possible surface area, find its dimensions. (In your answer leave a space between the number and the unit.)

Answers

Answer 1

Answer:

Its dimensions, Length = 3.1748 meters, Width = 3.1748 meters, Height = 3.1748 meters and Surface area = 50.397 meters²

What is dimension?

In mathematics, a dimension is the length or width of an area, region, or space in one direction.
It is just the measurement of an object's length, width, and height.
In general, dimensions are given as:
Length
Breadth
Width
Height or Depth
The measurement of an object's size, such as the length, width, and height of a box.
The idea of dimension in mathematics is an expansion of the concepts of one-dimensional lines, two-dimensional planes, and three-dimensional space.
Higher-dimensional spaces, such four-dimensional space-time, are also taken into account in mathematics and physics.
In this case, characterizing a point requires four numbers: three to fix a point in space and one to fix the time.
Since they were first investigated in the early 20th century, infinite-dimensional spaces have become more and more significant in mathematics as well as in areas of physics like quantum field theory.
Where they serve as a representation of the space of potential states for a quantum mechanical system.

To learn more about dimensions, refer to

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#SPJ2

Answer 2

Answer:

Answer:

128 cubic meters thats the area.

Step-by-step explanation:

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Hmm can you help me solve god bless you
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A study compared surgery and splinting for subjects suffering from carpal tunnel syndrome. It was found that among 73 patients treated with surgery,there was a 92% success rate. Among 83 patients treated with splints, there was a 72% success rate. Calculations using those results showed that ifthere really is no difference in success rates between surgery and splints, then there is about 1 chance in 1000 of getting success rates like the onesobtained in this study. Which statement cannot be said?The better treatment for carpal tunnel syndrome is surgery.The result has practical significance.The recommended treatment for carpal tunnel syndrome is splinting.The result has statistical significance.
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How many groups of 7 are in 21?

I need this FAST please help!!!

Answers

Answer:

the answer is 9.879

Describe the steps that transform the graph of the function y=x^2 to y=2(x+3)^2. Which attributes are not affected by the transformation?

Answers

Step-by-step explanation:

y=2(x+3)² y=x²

x²=2(x²+9+6x)

x²=2x²+18+12x

0=x²+18+12x

x²+18+12x=0

Answer:

Step-by-step explanation:

shift 3 units left then stretch vertically 2 times

Can someone pleaseeee help its urgent

Answers

Based on the given information, we can determine the characteristics of the polygon MNOP.

1. MN || OP and NO || PM:

- This means that the opposite sides MN and OP are parallel, and the opposite sides NO and PM are also parallel.

2. m/M = 93°, m/N = 87°, m/O = 93°, m/P = 87°:

- These angle measurements indicate that the opposite angles M and O are congruent, as well as the opposite angles N and P.

Based on these characteristics, we can conclude that the polygon MNOP is a parallelogram. A parallelogram is a quadrilateral with opposite sides that are parallel. In addition, opposite angles of a parallelogram are congruent.

However, we cannot determine from the given information whether the polygon MNOP is specifically a rectangle, rhombus, square, or trapezoid. These classifications require additional information, such as side lengths or angle measures, to be determined.

Therefore, the correct answers are:

- Parallelogram

- Quadrilateral

Please note that rectangle, rhombus, square, and trapezoid cannot be confirmed based on the given information.

the equation of line AB is y = -1/4 x - 2. write an equation of a line parallel to line AB in slope intercept form that contains point (-3,2)

Answers

The general equation of a straight line is in the form of;
Y=MX + c,
Where m is the gradient and
C the y-intersept.
Parallel line have the same gradient.
From the equation,
Y=-1/4X - 2,
Gradient = - 1/4.

Now assuming that the second line passes through (x,y) and (-3,2).
(Y-2)/(X--3) =-1/4
4(Y-2)=-1(X+3)
4Y-8 = -X-3
4Y = -X -3+8
4Y = -X +5
Y = -1/4X +5/4

Answer: y = -(1/4)x + 5/4

Explanation:

1) Parallel lines have equal slopes.

2) The slope-intercept form of the equation of the line is y = mx + b, where m is the slope and b is the y-intercept.

3) Hence, the slope of the given equation, i.e. y = (-1/4)x - 2 is m = -1/4

4) Therefore, that is the same slope of any line parallel to it, m = -1/4

5) The slope-point equation of the line is:

y - y₁ = m (x - x₁)

6) Now you replace -1/4 for m, and the point (-3,2)

⇒ y - 2 = [ -1/4) (x - (-3) ]

7) Expand the product and simplify:

y - 2 = -x/4 - 3/4
y = -x/4 -3/4 + 2
y = -x/4 + 5/4

And that is the equation requested

Which expression has a negative value?−3×3×−3×−3×−3

−3×−3×3

−3×3×−3×−3

−3×−3

Answers

Step-by-step explanation:

A - 3×3×-3×-3×-3 = 243

B - 3×-3×3 = 27

C - 3×3×-3×-3 = -81

D - 3×-3 = 9

The correct option is C

Answer: answer is c

Step-by-step explanation:

Throughout the US presidential election of 2012, polls gave regular updates on the sample proportion supporting each candidate and the margin of error for the estimates. This attempt to predict the outcome of an election is a common use of polls. In each case below, the proportion of voters who intend to vote for each candidate is given as well as a margin of error for the estimates. Indicate whether we can be relatively confident that candidate A would win if the election were held at the time of the poll. (Assume the candidate who gets more than of the vote wins.)

Answers

Answer:

1.) We cannot say for certain which candidate will win. But A has a statistical edge.

2.) We can say certainly that candidate A will win the election; albeit with a not so big margin.

3.) Candidate A will win this election based on the results of the final poll's before the election.

4.) We cannot say for certain which candidate will win. But A has a statistical edge.

The reasons are explained below.

Step-by-step explanation:

Confidence interval expresses a range of values in the distribution where the true proportion or mean can be found with some level of confidence.

Confidence Interval = (Sample Mean or Proportion) ± (Margin of error)

1. Candidate A: 54% & Candidate B:46% with Margin of error: + 5%

The confidence interval for candidate A

(54%) ± (5%) = (49%, 59%)

The confidence interval for candidate B

(46%) ± (5%) = (41%, 51%)

Since values greater than 50% occur in both intervals, we cannot say for certain that either of the two candidates will outrightly win the election. It just slightly favours candidate A who has A bigger range of confidence interval over 50% for the true sample proportion to exist in.

2. Candidate A: 52% & Candidate B:48% with Margin of error: + 1%

The confidence interval for candidate A

(52%) ± (1%) = (51%, 53%)

The confidence interval for candidate B

(48%) ± (1%) = (47%, 49%)

Here, it is outrightly evident that candidate A will win the elections based on the result of the final polls. The overall range of the confidence interval that contains the true sample proportion of voters that support candidate A is totally contained in a region that is above 50%. So, candidate A wins this one, easily; albeit with a close margin though.

3. Candidate A: 53% & Candidate B:47% with Margin of error: + 2%

The confidence interval for candidate A

(53%) ± (2%) = (51%, 55%)

The confidence interval for candidate B

(47%) ± (2%) = (45%, 49%)

Here too, it is outrightly evident that candidate A will win the elections based on the result of the final polls. The overall range of the confidence interval that contains the true sample proportion of voters that support candidate A is totally contained in a region that is above 50%. Hence, statistics predicts that candidate A wins this one.

4. Candidate A: 58% & Candidate B:42% with Margin of error: + 10%

The confidence interval for candidate A

(58%) ± (10%) = (48%, 68%)

The confidence interval for candidate B

(42%) ± (10%) = (32%, 52%)

Hope this Helps!!!

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Suppose that the US plans to send a shipment of "rovers" to Mars. These are mobile robots, programmed to collect rock and soil samples, and then return to the landing site. The rovers operate independently of each other. The mean weight a rover is programmed to collect is 50 pounds, and the standard deviation of weights is 5 pounds. Weights collected by rovers are approximately normally distributed. If the US sends 10 rovers, what is the probability that the average weight of rock and soil brought back by these rovers will be between 48 pounds and 52 pounds? What sampling distribution should we use to compute this probability?

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Solve the following problem: