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Schach [20]
3 years ago
9

The figure shows the location of three points around a lake. The length of the lake, BC, is also shown.

Mathematics
2 answers:
Anastaziya [24]3 years ago
7 0
A right triangle ABC is formed when we join three points around a lake.
Length of the side AC = 6 miles.
Length of the side BC = 2 miles.
We have to find Length of side AB.
Using Pythagorean theorem for Right triangle ABC , Right angled at B
→AB² + BC²= AC²
→ AB² + 2²= 6²
→ AB² = 36 - 4
→ AB²= 32
→ AB = √ 32
→→AB = 5.66 (approx)
Option (B) AB = 5.66 is Right choice.
vfiekz [6]3 years ago
4 0
B 5.66 is the right answer
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A professor thinks that the students in her statistics class this term are less creative than most students at this university.
choli [55]

Answer:

It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.

Step-by-step explanation:

\mu=35\\n=23\\\=x=33\\s=5\\\alpha=0.1

1. Null and alternative hypothesis

H_{0}:\mu=35\\H_{1}:\mu

2. Significance level

\alpha=0.1\\1-\alpha=0.99

Freedom degrees is given by:

v=n-1\\v=23-1=22

For a sgnificance level of 0,01 and 22 freedom degrees,  t-student distribution value is:

t_{0.01;23}=-2. 5083

3. Test statistic

t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }

t=\frac{33-35}{\frac{5}{\sqrt{23} } }

t=-1,918

In this case, we have an one left tailed analysis, it means that null hypothesis is rejected if t

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Conclusion:

It is not enough evidence to reject null hypothesis. It is not enough evidence to say that mean score is not equal to 35.

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