Answer:
The figure above is congruent by SSS axiom.
AB=DE (S)
AC=EF(S)
BC=DF(S)
Hence the given triangle are congrent.SSS axiom is Side.Side.Side axiom.
I think it will help you.
Answer:
<u>Type I error: </u>D. Reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually true.
<u>Type II error: </u>A. Fail to reject the null hypothesis that the percentage of adults who retire at age 65 is less than or equal to 62 % when it is actually false.
Step-by-step explanation:
A type I error happens when a true null hypothesis is rejected.
A type II error happens when a false null hypothesis is failed to be rejected.
In this case, where the alternative hypothesis is that "the percentage of adults who retire at age 65 is greater than 62%", the null hypothesis will state that this percentage is not significantly greater than 62%.
A type I error would happen when the conclusion is that the percentage is greater than 62%, when in fact it is not.
A type II error would happen when there is no enough evidence to claim that the percentage is greater than 62%, even when the percentage is in fact greater than 62% (but we still don't have evidence to prove it).
You will need to use the Pythagorean Theorem and plug in the varibles. The rope is the hypotenuse of the right triangle formed, and the 40ft water is the vertical leg, which leaves the ocean floor to be the horizontal leg.[a^{2}+b^{2}=c^{2}\] \[a^{2}+40^{2}=140^{2}\] Then solve for a. \[a^{2}=18000\] \[a=134.164\]
First, we need to find 1/4 of 2000 in order to find how many blocks he gave away. To do this, we need to do 1/4*2000 to get 2000/4. This can be simplified to 500 by dividing the numerator and denominator by 4.
Then, we can do 2000-500 to find that he must have had 1500 blocks left.
Hope this helps.
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