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4 years ago

Thank you, please show me the steps.

Mathematics

1 answer:

Lady bird [3.3K]4 years ago

7 0

V=(1/3)hpir^2
d/2=r
2.75/2=1.375
to make volume 4 times more
multiply height by 4 or multiply radius by 2
example
find current cup volume
V=(1/3)2.75pi1.375^2=2.2057291666666pi

if we times height by 4
3.5*4=14
V=(1/3)14pi1.375^2=8.822916666666666666pi

if we times radius by 2
1.375*2=5.5
V=(1/3)3.5pi5.5^2=8.822916666666666666pi

we can show it is 4 times by
8.822916666666666666pi/2.2057291666666pi= 3.99999 close enough
dimentions are

diameter of 2.75in and height of 11in or
diameter of 5.5in and height of 3.5 in

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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.

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3 years ago

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3 years ago

1) At a diner, the cost for a specialty waffle and a hashbrown is $9.50. The cost for 2 specialty

klemol [59]

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Answer:

waffle $8
hashbrowns $1.50

Step-by-step explanation:

Using w and h for the costs of a waffle and hashbrowns, respectively, we can write the equations for the purchase amounts as ...

w + h = 9.50

2w + 3h = 20.50

Subtracting twice the first equation from the second gives ...

(2w +3h) -2(w +h) = (20.50) -2(9.50)

h = 1.50 . . . . . . simplify

w = 9.50 -h = 8.00 . . . . . find w using the first equation

The cost of a waffle is $8.00; the cost of hashbrowns is $1.50.

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3 years ago