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3 years ago

The oblique prism below has an isosceles right triangle

Mathematics

1 answer:

Zarrin [17]3 years ago

7 0

The volume of the prism, in cubic units is V = 1/2*x³ + x²

The figure and options are in the figure attached

<h3>What is an Oblique Prism ?</h3>

An oblique prism is a polyhedron figure , with a rectangular base and triangular side faces .

It is given that

The oblique prism below has an isosceles right triangle base.

In the figure attached, the oblique prism is shown.

The volume of the prism is given by

V = b*h

h is the height and b is the Area of the base

It is given that the base is an isosceles right triangle, its area is:

Area of a Triangle = (1/2) base * height

here the base and height is x

b = 1/2*x²

The height of the prism is (x + 2).

Then, the volume is:

V = 1/2*x²*(x + 2)

V = 1/2*x³ + x² cu. units

To know more about Oblique Prism

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Determine the margin of error for a 90% confidence interval to estimate the population mean when s = 40 for the sample sizes bel

Ann [662]

Answer:

a) The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is 10.02.

Step-by-step explanation:

The t-distribution is used to solve this question:

a) n = 14

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 14 - 1 = 13

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.9}{2} = 0.95$ . So we have T = 1.7709

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93$

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for a 90% confidence interval when n = 14 is 18.93.

b) n = 28

27 df, T = 1.7033

$M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88$

The margin of error for a 90% confidence interval when n=28 is 12.88.

c) The margin of error for a 90% confidence interval when n = 45 is

44 df, T = 1.6802

$M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02$

The margin of error for a 90% confidence interval when n = 45 is 10.02.

3 0

3 years ago

HELP ASAP!!! 99 ASSIGNMENTS TO GO!!!! 25 POINTS!!!!

marin [14]

1: Ratio
2: Unit Rate
3: Scale Drawing
4: Similar Figures
5: US Customary System
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I hope this helps! :)

5 0

2 years ago

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Which elements in the same below are integers? -3,3.7,9,-7.34,2.83,5,56/7,-1

Bogdan [553]

Answer:

Integers -3, 9, 5, 56/7, -1

Step-by-step explanation:

Integers are whole numbers that can be positive or negative. They do not have decimals.

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4 years ago

What is the value of 3 in 743275

dusya [7]

The value of 3 would be 3,000.

Why thousands? Well because u have to count from the right, then back, so ones, tens, hundreds, then thousands lands on 3 so hope this helps.

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4 years ago

What is the equation of a line that goes through the point (0,2) and has a slope of -1 ?

OLEGan [10]

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3 years ago