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andre [41]
3 years ago
5

The base of a rectangular prism is 5 meters long and 4 meters wide. The prism is 6 meters high. A rectangular pyramid has the sa

me length, width, and height as the prism. What is the ratio of the volume of the rectangular pyramid to the rectangular prism?
Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Volume of prism: 5 x 4 x 6 = 120 cubic meters

Volume of pyramid: 5x4 x 6/3 = 40 cubic meters

Ratio: 40/120 = 1/3

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We can subtract from the number of strings of length 4 of lower case letters the number of string of length 4 of lower case letters other than x. Thus the answer is 264 − 254 = 66,<span>351</span>
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3 years ago
In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed. Use
Mademuasel [1]

Answer:

Claim is true that most medical malpractice lawsuits are dropped or dismissed.

Step-by-step explanation:

Given :In a study of 799 randomly selected medical malpractice​ lawsuits, it was found that 499 of them were dropped or dismissed.

To Find : Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Solution:

n =  799

x = 499

We will use one sample proportion test  

\widehat{p}=\frac{x}{n}\\\widehat{p}=\frac{499 }{ 799}\\\widehat{p}=0.6245

We are given that the claim is most medical malpractice lawsuits are dropped or dismissed.

Probability of dropped or dismissed is 1/2

 H_0:p=0.5\\H_a:p>0.5

Formula of test statistic = \frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

                                        =\frac{0.6245-0.5}{\sqrt{\frac{0.5(1-0.5)}{799}}}

                                       = 7.038

p value (z>7.038) is 0

α =0.05

So, p value < α

So, we reject the null hypothesis

So,claim is true

Hence most medical malpractice lawsuits are dropped or dismissed.

6 0
3 years ago
Miles has a square garden in his backyard. He decides to decrease the size of the garden by 1 foot on each side in order to make
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6 and 36

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2 years ago
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s344n2d4d5 [400]

Hey there! I'm happy to help!

The only thing we have to do is solve our inequality to find the answer!

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We subtract 30 from both sides.

15x ≥ 60

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x ≥ 4

Therefore, Deepak can only accept jobs that last 4 or more hours.

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