Answer:
Mean = ∑x + standard deviation = 429.21
Step-by-step explanation:
Mean lifespan = 71.45 years
Standard deviation = 12.35 years
Standard deviation= ∂ = x-µ / N
∂ = standard deviation
µ= mean
x = size of year
By using formula of standard deviation:
= 70 – 71.45 / 12.53
Approximately equal to 64.21
Mean = ∑x + standard deviation
= 365 + 64.21
= 429.21
To answer this question, we need a strong understanding of what "contrapositive" means:
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick.
What would be the contrapositive in our conditional statement?
Conditional Statement: <span>If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90</span>°, then the angle is not a right angle.
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing.
Answer:
The answer is choice B: 22.52 units.
Step-by-step explanation:
We use the Pythagoras's theorem which says for a right triangle with sides
and hypotenuse
:

In our case


So we solve for 

Which is choice B.