Answer:
an obtuse angle
Step-by-step explanation:
A right triangle with legs of length 2 would have a hypotenuse of length ...
√(2² +2²) = √8 ≈ 2.828
The third side of this triangle is longer than that, so the opposite angle must be more than 90°. This triangle contains an obtuse angle.
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A triangle solver says the angles are about 41.4°, 41.4°, and 97.2°.
Answer:
We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find M as such
In which 
is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 1.87 - 0.07 = 1.80 children
The upper end of the interval is the sample mean added to M. So it is 1.87 + 0.07 = 1.94 children.
We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.
Answer:
True
Step-by-step explanation:
When two lines are parallel, the corresponding angles formed by the transversal (intersecting line) are congruent. This is called the corresponding angles postulate. It can be used in reverse: if two corresponding angles are congruent, then the non-transversal lines are parallel.
