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timurjin [86]
3 years ago
12

The diagram below represents the net of a triangular prism.

Mathematics
2 answers:
Sphinxa [80]3 years ago
6 0

Answer:

yes

Step-by-step explanation:

ExtremeBDS [4]3 years ago
6 0

Answer:

336cm2

Step-by-step explanation:

The diagram is divided ninto 5 parts that is rectangles ABCD, CHGD, GFEH and  triangles CIH and DGJ.

Area of rectangle ABCD= lxb

=12x6=72cm2

Area rectangle CDHG=lxb

12x8=96cm2

Area rectangle HGFE= lxb

=10x12=120cm2

Area of triangles CIH and DIG= 2x1/2xbxh

=6x8=48cm2

Surface area of the triangular prism=Area of rectangle ABCD+Area rectangle CDHG+Area rectangle HGFE+Area of triangles CIH and DIG

72+96+120+48=336cm2

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Step-by-step explanation:

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One angle of a regular hexagon = 120°.

One angle of a square = 90°

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Medical scientists study the effect of acute infection on tissue-specific immunity. In a collection of experiments under the sam
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Answer:

The 95% confidence interval  for the true proportion of mice that will test positive under similar conditions is (0.5291, 0.6429).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence interval 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

Z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

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In a collection of experiments under the same conditions, 44 of 75 mice test positive for lymphadenopathy. This means that n = 75 and \pi = \frac{44}{75} = 0.586.

Compute a 95% confidence interval for the true proportion of mice that will test positive under similar conditions.

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The upper limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.586 + 1.96\sqrt{\frac{0.586*0.414}{75}} = 0.6429

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