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Papessa [141]
1 year ago
8

The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo

uld it be possible for the cross section be a non-rectangular parallelogram?

Mathematics
2 answers:
Keith_Richards [23]1 year ago
8 0
This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.

nata0808 [166]1 year ago
8 0

Answer:

It’s A

Step-by-step explanation:

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Devon wants to write an equation for a line that passes through 2 of the data points he has collected. The points are (8, 5) and
ser-zykov [4K]
For this case we have the following equation:
 7x - 10y = 3

 From here, we must substitute ordered pairs of the form:
 (x, y)
 If the ordered pair satisfies the equation, then it belongs to the line.
 We have then:

 For (8, 5):
 
We substitute the following values:
 x = 8

y = 5

7 (8) - 10 (5) = 3

56 - 50 = 3

6 = 3
 We observe that the equation is not satisfied and therefore, this point does not belong to the line.
 Since one of the points does not belong to the line, then the equation is not a good model.

 Answer:
 
It is not a good model. One of the points does not belong to the line.
4 0
1 year ago
Read 3 more answers
Which is the highest value 4.008,4.08,4.8 or 0.480?
Alex787 [66]

Answer:

4.8

Step-by-step explanation:

Let's see here we know the last one can't be the highest because there is no digit that is to the left of the decimal place, so that is a pure fraction, now we're all left with 4 in the left place, so we compare all the digits, and we find that the third option has 8 tenths, which is in fact greater than 8 hundredths or 8 thousandths.


Hit the Thank Button if this helps!

8 0
1 year ago
Read 2 more answers
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard dev
Vladimir [108]

Answer:

Probability that the average length of a sheet is between 30.25 and 30.35 inches long is 0.0214 .

Step-by-step explanation:

We are given that the population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.

Also, a sample of four metal sheets is randomly selected from a batch.

Let X bar = Average length of a sheet

The z score probability distribution for average length is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 30.05 inches

           \sigma   = standard deviation = 0.2 inches

             n = sample of sheets = 4

So, Probability that average length of a sheet is between 30.25 and 30.35 inches long is given by = P(30.25 inches < X bar < 30.35 inches)

P(30.25 inches < X bar < 30.35 inches)  = P(X bar < 30.35) - P(X bar <= 30.25)

P(X bar < 30.35) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{30.35-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z < 3) = 0.99865

 P(X bar <= 30.25) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } <= \frac{30.25-30.05}{\frac{0.2}{\sqrt{4} } } ) = P(Z <= 2) = 0.97725

Therefore, P(30.25 inches < X bar < 30.35 inches)  = 0.99865 - 0.97725

                                                                                       = 0.0214

                                       

7 0
1 year ago
Problem A fruit stand has to decide what to charge for their produce. They need \$10$10dollar sign, 10 for 444 apples and 444 or
andre [41]

Answer:

4a + 4b = 10

6a + 6b = 12

Step-by-step explanation:

Putting the equation in a system of linear equation :

We donate, apples and oranges using any preffered letter or alphabet

Let :

Apples = a ; oranges = b

4 apples and 4 oranges equals $10

4a + 4b = 10

6 Apples and 6 oranges equals $12

6a + 6b = 12

Hence, the system of linear equation :

4a + 4b = 10

6a + 6b = 12

5 0
1 year ago
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Past studies indicate that about 60 percent of the trees in a forested region are classified as softwood. A botanist studying th
alukav5142 [94]

Answer:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

Step-by-step explanation:

Hello!

The historical information indicates that 60% of the forest trees are classified as softwood.

A botanist thinks that the proportion might be greater than 60%, so he tested his belief obtaining:

H₀: p = 0.60

H₁: p > 0.60

p-value: 0.015

You need to interpret this p-value. Little reminder:

The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis. It represents the % of size n samples from a population with proportion p=p₀, which will produce a measure that provides evidence as (or stronger) than the current sample that p is not equal to p₀.

The correct answer is:

1. If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a population proportion greater than 0.6.

I hope this helps!

8 0
1 year ago
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