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Flauer [41]
3 years ago
10

The side length of the base of a square pyramid is 30 centimeters. The height of the pyramid is 45 centimeters.

Mathematics
1 answer:
puteri [66]3 years ago
6 0

Answer:

volume = 13500 cm^{3}

Step-by-step explanation:

For a given pyramid, its volume can be determined by:

volume of pyramid = \frac{lwh}{3}

Where: l is the base length, w is the base width and h id the height of the pyramid.

For the given question, l 30 cm, w = 30 cm and h = 45 cm.

So that,

volume = \frac{30*30*45}{3}

            = \frac{40500}{3}

            = 13500

volume = 13500 cm^{3}

The volume of the pyramid is 13500 cm^{3}.

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Arte-miy333 [17]

Answer: 505

Step-by-step explanation:

The formula to find the sample size n , if the prior estimate of the population proportion (p) is known:

n= p(1-p)(\dfrac{z}{E})^2 , where E=  margin of error and z = Critical z-value.

Let p be the population proportion of crashes.

Prior sample size = 250

No. of people experience computer crashes = 75

Prior proportion  of crashes p=\dfrac{75}{250}=0.3

E= 0.04

From z-table , the z-value corresponding to 95% confidence interval = z=1.96

Required sample size will be :

n=0.3(1-0.3)(\dfrac{1.96}{0.04})^2 (Substitute all the values in the above formula)

n= (0.21)(49)^2= 0.21\times2401

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3 years ago
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5 0
2 years ago
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Which statement best describes how to determine whether f(x) = 9 – 4x2 is an odd function?
Elza [17]

For this case we have the following definitions:


A function is even if, for each x in the domain of f, f (- x) = f (x). The even functions have reflective symmetry through the y-axis.


A function is odd if, for each x in the domain of f, f (- x) = - f (x). The odd functions have rotational symmetry of 180º with respect to the origin.


We then have the following function:

f (x) = 9 - 4x ^ 2


Applying the definitions we have:

f (-x) = 9 - 4 (-x) ^ 2\\f (-x) = 9 - 4 (x) ^ 2\\f (-x) = f (x)


Answer:

The function is not odd because it is fulfilled:

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Answer:

Step-by-step explanation:

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