Answer:
The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

Fastest 6%
At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.




The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
The lengths of two sides is not enough information to determine a unique triangle. There are an infinite number of possible correct answers. If 'x' is the length of the third side, then its length can be anything between 3 and 13.
Let length of the hypotenuse = 3x and length of given leg be x feet.
then (3x)^2 = x^2 + 648
8x^2 = 648
x^2 = 81
so x = 9 and 3x = 27
Hypotenuse is 27 feet and the leg equals 9 feet.
Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair