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3 years ago

6

A scientist is studying the average speed and fastest recorded speed of four creatures. His results, in miles per hour, are show

n in the table below.
For which creature is the difference between average speed and fastest speed the greatest?

Werewolf
Phoenix
Mermaid
Centaur
They are all the same.

1 answer:

MakcuM [25]3 years ago

3 0

Where are the results?

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Maybe some kind of math class :)

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3 years ago

philly and boston were working on a project in carpentry class. they needed to cut 5 lengths of 234 feet from a board. how long

ss7ja [257]

or 5 lengths of 234 feet to be cut from a board, the board must have a length of at least 1170 feet.

Let x represent the total length of the board so as to allow for the cutting of 5 lengths.

Since each length needed to be cut is 234 feet, hence:

x = number of lengths × feet per board

x = 5 lengths × 234 feet

x = 1170 feet

Hence for 5 lengths of 234 feet to be cut from a board, the board must have a length of at least 1170 feet.

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3 years ago

company manufactured six television sets on a given day, and these TV sets were inspected for being good or defective. The resul

lana [24]

Sampling distribution involves the proportions of a data element in a given sample.

<em>The proportion of Good TV set is 0.67</em>
<em>The number of ways of selecting 5 from 6 TV sets is 6</em>
<em>The number of ways of selecting 4 from 6 TV sets is 15</em>

<em />

Given

$n = 6$

Sample Space = Good, Good, Defective, Defective, Good, Good

<u>(a) Proportion that are good</u>

From the sample space, we have:

$Good = 4$

So, the proportion (p) that are good are:

$p = \frac{Good}{n}$

$p = \frac{4}{6}$

$p = 0.67$

<u>(b) Ways to select 5 samples (without replacement)</u>

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$r = 5$

So, we have:

$^6C_5 = \frac{6!}{(6 - 5)!5!}$

$^6C_5 = \frac{6!}{1!5!}$

$^6C_5 = \frac{6 \times 5!}{1 \times 5!}$

$^6C_5 = \frac{6}{1}$

$^6C_5 = 6$

Hence, there are 6 ways

<u>(c) All possible sample space of 4</u>

First, we calculate the number of ways to select 4.

This is calculated using:

$^nC_r = \frac{n!}{(n - r)!r!}$

Where

$r = 4$

So, we have:

$^6C_4 = \frac{6!}{(6 - 4)!4!}$

$^6C_4 = \frac{6!}{2!4!}$

$^6C_4 = \frac{6 \times 5 \times 4}{2 \times 1 \times 4!}$

$^6C_4 = \frac{30}{2}$

$^6C_4 = 15$

So, the table is as follows:

$\left[\begin{array}{ccc}TV&Good&Proportion\\1,2,3,4&2&0.5&2,3,4,5&2&0.5&3,4,5,6&2&0.5\\4,5,6,1&3&0.75&5,6,1,2&4&1&6,1,2,3&3&0.75\\1,2,3,5&3&0.75&3,5,6,2&3&0.75&1,3,4,5&2&0.5\\1,3,4,6&2&0.5&1,4,5,2&3&0.75&2,4,6,1&3&0.75\\2,4,6,3&2&0.5&2,4,6,5&3&0.75&3,5,6,1&3&0.75\end{array}\right]$

The proportion column is calculated by dividing the number of Good TVs by the total selected (4) i.e.

$p = \frac{Good}{n}$

<u>(d) The sampling distribution</u>

In (a), we have:

$p = 0.67$ --- proportion of Good TV

The sampling error is calculated as follows:

$SE_n = |p - p_n|$

So, we have:

$\left[\begin{array}{ccc}TV&Good&SE\\1,2,3,4&2&0.17&2,3,4,5&2&0.17&3,4,5,6&2&0.17\\4,5,6,1&3&0.08&5,6,1,2&4&0.33&6,1,2,3&3&0.08\\1,2,3,5&3&0.08&3,5,6,2&3&0.08&1,3,4,5&2&0.17\\1,3,4,6&2&0.17&1,4,5,2&3&0.08&2,4,6,1&3&0.08\\2,4,6,3&2&0.17&2,4,6,5&3&0.08&3,5,6,1&3&0.08\end{array}\right]$

Read more about sampling distributions at:

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3 years ago

What are life experiences and what are examples of life experiences considered in the eyes of colleges and universities. Especia

Gennadij [26K]

Life experiences are things you go through that are unforgettable. In the eyes of colleges and universities, life experiences shape who you are and what you might want to do with your life.

It teaches you something, whether it be about yourself, or about something you already knew, but there was more to it.

Hope this helps you!!^_^

8 0

3 years ago

How do you solve this without using a calculator

My name is Ann [436]

Answer:

A

Explanation:

You must know the basics of Trigonometry to solve this.

First, you must know that

$\frac{3\pi}{4}$

lies in the second quadrant, so sin is negative.

Next, since

pi/4, is the reference angle of 3 pi/4, this means that we can set up a right triangle with pi/4 as an angle, we get

$\cos( \frac{3\pi}{4} ) = \frac{ \sqrt{2} }{2}$

$\sin( \frac{\pi}{4} ) = - \frac{ \sqrt{2} }{2}$

So the answer is A

8 0

2 years ago