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insens350 [35]
3 years ago
5

Find the z-score such as 88% of the area under the normal curve is to the left of the z-score

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
6 0
If you have a calculator with statistical functions, that's the way to go.

On my TI-83, I typed in  invNorm(0.88) and got the result z = 1.17.

88% of the area under the normal curve is to the left of z = 1.17.
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the volume of a prism with equilateral triangular cross-section is 270cm^3 . If the length if the prism is 10 root 3 cm, what is
stepan [7]

Given:

The volume of a prism with equilateral triangular cross-section is 270cm³.

Length of the prism = 10\sqrt{3} cm

To find:

The length of the side of the equilateral triangular cross-section.

Solution:

Formulae used:

Area of an equilateral triangle is

Area=\dfrac{\sqrt{3}}{4}a^2

Where a is the side length of equilateral triangle.

Volume of prism is

V=Bh

Where, B is base area and h is the height of the triangular prism.

Cross section of the prism is an equilateral triangular so the base area of the prism is  \dfrac{\sqrt{3}}{4}a^2 sq. cm.

The volume of the prism is

V=\dfrac{\sqrt{3}}{4}a^2\times 10\sqrt{3}

270=\dfrac{10(3)}{4}a^2

270=\dfrac{30}{4}a^2

270=7.5a^2

Divide both sides by 7.5.

\dfrac{270}{7.5}=a^2

36=a^2

\pm \sqrt{36}=a

6=a

It takes only positive value because the side cannot be negative.

Therefore, the length of the side of the equilateral triangular cross-section is 6 cm.

5 0
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Answer:

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Step-by-step explanation:

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