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jeka94
3 years ago
14

Which three-dimensional figure has half the number of vertices as the rectangular prism?

Mathematics
2 answers:
GuDViN [60]3 years ago
8 0
1. The rectangular prism is a right prism with rectangular bases (check the picture)

2. It has 8 vertices, so we are looking for 3d figures with 4 vertices.

3. A face can have at least 3 vertices, and the 4th must be outside of the plane determined by the first 3 vertices. This makes 4 vertices in total.

4. The 3d figure described in step 3 is a pyramid. 

svlad2 [7]3 years ago
4 0

The correct answer is:

D. Triangular pyramid.

The three-dimensional figure that has half the number of vertices as the rectangular prism is a triangular pyramid.

|Huntrw6|

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Step-by-step explanation:

Given the data in the question;

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here are the possible genotypes and corresponding phenotypes;

FF = Fluffy fur

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ff = Wiry fur

genotype of parents is Ff and Ff

and there cross will be; Ff x Ff

now Offspring will be;

                                   F                      f

F                                FF                    Ff

f                                 Ff                     ff

so the probability that the offspring will have fluffy fur = 3/4

and the probability that the offspring will have wiry fur = 1/4

The probability that the first 2 out of 4 offspring will have fluffy fur will be;

⇒ 3/4 × 3/4 × 1/4 × 1/4 =  0.03516

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6 0
3 years ago
In a sample of 400 voters, 360 indicated they favor the incumbent governor. The 95% confidence interval of voters not favoring t
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We use normal approximation, for this, we check that both np and n(1-p) >5.

Since n*p = 40 > 5 and n*(1-p) = 360 > 5, we can take binomial random variable as normally distributed, with mean = p = 0.1 and standard deviation  = root( p * (1-p) /n )

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For constructing Confidence interval,

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95% confidence interval is given by Sample Mean +/- (Margin of Error)

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Learn more about Margin of Error here brainly.com/question/15691460

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1 year ago
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Attached below is a detailed solution to your problem above

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Spiral Review:
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