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Marrrta [24]
3 years ago
9

What is 54 is 75% of

Mathematics
2 answers:
lukranit [14]3 years ago
8 0
First put 54 over X in a fraction. 54/x 
<span>Then put 75 over 100. 75/100 </span>
<span>Then you cross multiply. 75(x)= 54(100) </span>
<span>Simplify. 75x = 5400 </span>
<span>Divide. x=72 </span>
<span>Your answer is 72 

</span>
sweet-ann [11.9K]3 years ago
5 0
We set up a proportion: 54/?= 75/100

Cross multiply: 75*?= 54*100
⇒ ?= 54*100/75= 72

54 is 75% of 72.
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Y=kx+b
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So your answer is option A

8 0
3 years ago
A tobacco company claims that its best-selling cigarettes contain at most 40 mg of nicotine. The average nicotine content from a
tatuchka [14]

Answer:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

df=n-1=15-1=14  

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

Step-by-step explanation:

Information provided

\bar X=42.6 represent the average nicotine content

s=3.7 represent the sample standard deviation

n=15 sample size  

\mu_o =40 represent the value to check

\alpha=0.01 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:  

Null hypothesis:\mu \leq 40  

Alternative hypothesis:\mu > 40  

The statistic for this case would be:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

And replcing we got:

t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722    

The degrees of freedom are:

df=n-1=15-1=14  

The p value would be:

p_v =P(t_{(14)}>2.722)=0.0083  

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

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Multiply by 1 minute/60 seconds

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you then multiply by 1000 grams/1 kilogram

the kilograms cancel out and youre left with 650 grams per second
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What is the measure of a base angle of an isosceles triangle if its vertex angle measures 30 degrees?
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180 - 30 = 150or triangle is isoscele so each base angle is 150 / 2 = 75

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