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3 years ago

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region. (to 2 decimals)

Mathematics

2 answers:

Fiesta28 [93]3 years ago

6 0

Answer:

The area to the right of 2.120 is 0.0250 rounded to 4 decimal places

Step-by-step explanation:

We are required to find $P(t>2.120)$

To find this area we have to use the t distribution. Also we can use technology like excel to find the area to the right of 2.120.

The excel function is:

=TDIST(2.120,16,1)=0.0250

Where:

2.120 is the value of the test statistic

16 is the degrees of freedom

1 denotes the one tailed.

Therefore, the area to the right of 2.120 is 0.0250

kirza4 [7]3 years ago

4 0

Answer:

0.03

Step-by-step explanation:

From t-table, at df=16 and t=2.120, probability is 0.025 or 0.03(to 2 decimals).

The probability refers to area to the right of 2.120

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Please solve these equations much appreciated

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Answer:

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Part d) $V=93,312\pi\ mm^3$ or $V=292,999.68\ mm^3$

Step-by-step explanation:

Part c) Find the volume of the inverted rectangular pyramid

The volume of the rectangular pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the rectangular base

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substitute

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we know that

The volume of cylinder (tea cup) is equal to

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we have

$r=36\ mm\\h=72\ mm$

substitute

$V=\pi (36)^{2}(72)$

$V=93,312\pi\ mm^3$ -----> exact value

<em>Find the approximate value</em>

assume

$\pi =3.14$

$V=93,312(3.14)=292,999.68\ mm^3$

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ivann1987 [24]

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