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sergiy2304 [10]
3 years ago
14

The measures of three parts of triangle ABC are given in the diagram. What is AC, correct to two decimal places? A. 2.55 B. 5.01

C. 5.11 D. 6.74

Mathematics
2 answers:
maksim [4K]3 years ago
8 0

Option B. 5.01 units

this is the right answer... got it on plato :)

ur welcome ;)

White raven [17]3 years ago
6 0

Answer:

Option B. 5.01 units

Step-by-step explanation:

we know that

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

we have

c=AB=3.61\ units\\C=41.82^o\\B=67.62^o\\b=AC

substitute the given values

\frac{3.61}{sin(41.82^o)}=\frac{AC}{sin(67.62^o)}

AC=\frac{3.61}{sin(41.82^o)}=sin(67.62^o)

AC=5.01\ units

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Suppose that we are testing a coin to see if it is fair, so our hypotheses are: H0: p = 0.5 vs Ha: p ≠ 0.5. In each of (a) and (
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refer the z table for p value

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a.  We get 560 heads out of 1000 tosses.

We will use one sample proportion test  

x = 560

n = 1000

\widehat{p}=\frac{x}{n}

\widehat{p}=\frac{560}{1000}

\widehat{p}=0.56

Formula of test statistic =\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

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refer the z table for p value

p value = .000148

p value of part B is less than Part A because part B have 10 times the number the tosses.

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Read 2 more answers
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