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Black_prince [1.1K]
2 years ago
8

Logan caught 16 butterflies this morning by the evening 1 fourth of the butterflies had flown away how many butterflies remain?

Mathematics
1 answer:
sashaice [31]2 years ago
6 0
4 butterflies remain. 16 divided by 1/4 is 4
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t = \frac{1}{6ct}

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6crt = 1 ( divide both sides by 6ct to obtain r )

t = \frac{1}{6ct}


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85 of 40 emails I need more help is very stugle
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Simplify and determine the coefficient of (-2/5x) (5y) (-2x)
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According to a polling​ organization, 24% of adults in a large region consider themselves to be liberal. A survey asked 200 resp
Varvara68 [4.7K]

Answer:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

Step-by-step explanation:

Information given

n=200 represent the random sample taken

X=75 represent the number of people Liberal

\hat p=\frac{75}{200}=0.375 estimated proportion of people liberal

p_o=0.24 is the value that we want to test

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to verify if the true proportion of adults liberal is higher than 0.24:

Null hypothesis:p \leq 0.24  

Alternative hypothesis:p > 0.24  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.375 -0.24}{\sqrt{\frac{0.24(1-0.24)}{200}}}=4.47  

Now we can calculate the p value based on the alternative hypothesis with this probability:

p_v =P(z>4.47)=0.00000391  

The p value is very low compared to the significance level of \alpha=0.05 then we can reject the null hypothesis and we can conclude that the true proportion of people liberal is higher than 0.24

6 0
3 years ago
What times what is 216
ElenaW [278]
2 times 108 is 216
3 times 72 is 216
4 times 54 is 216 
6 times 36 is 216
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