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horsena [70]
2 years ago
9

Fifteen percent of the cars in a parking lot are green. If there are 45 green cars, how many cars are there in the parking lot?

Mathematics
1 answer:
Olegator [25]2 years ago
7 0
45/x =15/100
Cross multiply
15x=4500
Divide both sides by 15
X=300
300 total cars on parking lot
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Step-by-step explanation:

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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
Kathy starts with a number she adds 3 touring numbers then doubles the results finally she subtract 7 if she ended with nine wha
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she ends up getting 5

8 0
3 years ago
A castle has to be guarded 24 hours a day five knights are ordered to split each day's guard duty equally how long will each kni
disa [49]

Answer:

Each knight will 4.8 hrs spend on guard in one day

Step-by-step explanation:

A castle has to be guarded 24 hours a day 5 knights are ordered to split each day's guard duty equally

Each knights has to guard equally l.e for equal time .

That means 24 hours time has to be equally divided among the 5 knights

= 24 / 5 = 4.8

Each knight will spend on guard in one day = 4.8 hrs

4 0
2 years ago
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