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stealth61 [152]
3 years ago
15

In the right triangle A=30 and BC=4 how long is AB? HELP ASAP!!!!!

Mathematics
2 answers:
kicyunya [14]3 years ago
5 0

Answer:

8

Step-by-step explanation:

using the formula,

sin A = opp/hyp

where opp = CB = 4

hyp = AB = x

and A = 30

sin 30 = 4/x

0.5 = 4/x

x = 4/ 0.5 = 8

Andre45 [30]3 years ago
3 0

sin(30°) = 4/x. Multiply both sides by x.

x * sin(30°) = 4. Divide each side by sin(30°).

x = 4/sin(30°). Solve for x.

x = 8.

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Step-by-step explanation:

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First, we need to find the number of events and the number of possible outcomes for each event.

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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
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