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Alex Ar [27]
3 years ago
9

Davis has 141 figures in his action figure collection. One-third of the figures are sports related. How many of the figures in D

avis’ collection are NOT sports related
Mathematics
1 answer:
Lelu [443]3 years ago
7 0

We have been given that Davis has 141 figures in his action figure collection. One-third of the figures are sports related.

To find the number of figures that are not sports related we will find 2/3 of 141 as 2/3 of the figures will be not related to sports.

\text{ Figures not related to sports}=141\times\frac{2}{3}

\text{ Figures not related to sports}=47\times2

\text{ Figures not related to sports}=94

Therefore, 94 figures in Davis’ collection are not sports related.

 

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vaieri [72.5K]
<h3>Answer: Choice C  \{x | x \in \mathbb{R}, \ x > 5 \}</h3>

The open circle means we do not include the endpoint, hence the use of a greater than symbol. If we were to include the endpoint, then we'd have greater than or equal to. We can rule out choice B due to this reasoning.

The ray pointing to the right indicates we are talking about x values larger than 5, so we can rule out choice A and conclude the answer is C.

Side note: The notation x \in \mathbb{R} is saying "x is a real number"

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3 years ago
A sculpture is in the shape of a square pyramid. The sculpture has a height of 36 feet and a volume of 19,200 cubic feet. Find t
lorasvet [3.4K]

Hello Human!

The answer to this is:

a = 40 feet

<h2><u>EXPLANATION:</u></h2><h2><u></u></h2>

<u></u>

Given:

V = 19,200 feet³  volume of the sculpture

H = 36 feet  height of the sculpture

a = ?  side length of the square base

The formula for calculating the volume of a pyramid is:

V = B H / 3  ⇒ B = 3 V / H

B = 3 · 19,200 / 36 = 19,200 / 12 = 1,600

B = a²

a² = 1,600  ⇒  a = √1,600 = 40 feet

a = 40 feet

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TanakaBro

7 0
3 years ago
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aniked [119]

Given Information:  

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Mean life of lithium batteries = μ = 645 hours

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Confidence level = 95%  

Required Information:  

Confidence Interval = ?

Answer:  

CI = 628.5 \: to \: 661.5 \: hours

Step-by-step explanation:  

The confidence interval is given by

CI = \mu \pm t_{\alpha/2} (\frac{\sigma}{\sqrt{n}})

Where μ is the mean life of lithium batteries, σ is the standard deviation, n is number of lithium batteries selected, and t is the critical value from the t-table with significance level of

tα/2 = (1 - 0.95) = 0.05/2 = 0.025

and the degree of freedom is

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The critical value (tα/2) at 15 DoF is equal to 2.131 (from the t-table)

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CI = 628.5 \: to \: 661.5 \: hours

Therefore, the 95% confidence interval is 628.5 to 661.5 hours

What does it mean?

It means that we are 95% confident that the mean life of 16 lithium batteries is within the interval of (628.5 to 661.5 hours)

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3 years ago
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Answer:

  1

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4 0
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Grace [21]

Answer:

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51.475\: cm^3

4 0
2 years ago
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