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klio [65]
3 years ago
10

Which of the following terms correctly describe the figure given below? Check all that apply.

Mathematics
2 answers:
ratelena [41]3 years ago
9 0

Answer:

Hence, the correct options are Polyhedron, Pyramid and Solid

Step-by-step explanation:

According to the options, we have,

1. Polyhedron is a solid figure in three dimensions having polygons as its faces along with sharp vertices and straight edges.

So, we can see that the given figure have polygonal faces with sharp vertices and straight edges.

Thus, it is a polyhedron.

2. Polygon is a closed two dimensional figure bounded by straight lines.

But, the given figure is not a 2-D figure and so is not a polygon.

3. Prism is a polyhedron with polygons as its faces along with a second base which is a translated copy of the first base.

Since, the given figure is a polyhedron but it does not have a second base which is a translated copy of the first base.

So, the given figure is not a prism.

4. Pyramid is 3-D figure having triangular outer surfaces converging to single point with polygonal base.

As, we can see that the given figure have polygonal base and triangular sides converging to a point.

So, the given figure is a pyramid.

5. Cube is a 3-D figure with all the six faces as squares.

But, the given figure does not have square faces and so is not a cube.

6. Solid is a figure having three dimensions.

Since, the given figure does have three dimensions.

So, it is a solid.

<h3>Hence, the correct options are Polyhedron, Pyramid and Solid.</h3>
Elis [28]3 years ago
6 0

I think its Polyhedron, pyramid, solid.

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Step-by-step explanation:

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Now p and q are the zeroes of the above function so

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Now p^2 + q^2 = (p + q)^2 - 2pq

= (7/3)^2 - 2* 3/2

=  49/9 - 3

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= 22/9.

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Yuri [45]

Answer:

90% confidence interval for the population mean test score is [95.40 , 106.59]

Step-by-step explanation:

We are given that the population mean score for mathematics test is 115. It is known that the population standard deviation of test scores is 17.

Also, a random sample of 25 students take the exam. The mean score for this group is 101.

The, pivotal quantity for 90% confidence interval for the population mean test score is given by;

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

where, X bar = sample mean = 101

              \sigma = population standard deviation

              n = sample size = 25

So, 90% confidence interval for the population mean test score, \mu is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90

P(-1.6449 < \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.6449) = 0.90

P(-1.6449 * \frac{\sigma}{\sqrt{n} } < {Xbar-\mu} < 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

P(X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } < \mu < X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ) = 0.90

90% confidence interval for \mu = [ X bar - 1.6449 * \frac{\sigma}{\sqrt{n} } , X bar + 1.6449 * \frac{\sigma}{\sqrt{n} } ]

                                                  = [ 101 - 1.6449 * \frac{17}{\sqrt{25} } , 10 + 1.6449 * \frac{17}{\sqrt{25} } ]

                                                  = [95.40 , 106.59]

Therefore, 90% confidence interval for the population mean test score is [95.40 , 106.59] .

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