Answer:
km
Step-by-step explanation:
The submarine's path from its base forms a right triangle when its final position is "connected" to the base. We know that the right triangle has legs of
km and
km, and we need to find the length of its hypotenuse. To do so, we can use the Pythagorean Theorem, which states that in a right triangle,
, where
and
are the lengths of the triangle's legs and
is the length of the triangle's hypotenuse. In this case, we know what
and
are, and we need to solve for c, so after substituting the given values of
and
into
to solve for c, we get:

(Substitute
and
into the equation)
(Evaluate the squares on the LHS)
(Simplify the LHS)
(Symmetric Property of Equality)
(Take the square root of both sides of the equation)
(Simplify)
is an extraneous solution because you can't have negative distance, if that makes sense, so therefore, the submarine is approximately
km away from its base. Hope this helps!
Answer:
The probability that a randomly selected woman has red/green color blindness is 0.9914
Step-by-step explanation:
Given that the proportion of women having red/green color blindness is 0.86%
Represent that with p

Convert proportion from percentage to decimal;


In probability; opposite probabilities add up to 1;
Let the probability that a woman selected have red/green color blindness be represented with q;

Subtract p from both sides


Substitute 0.0086 for p


<em>Hence, the probability that a randomly selected woman has red/green color blindness is 0.9914</em>