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:
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
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:
![\mu = 141, \sigma = 7](https://tex.z-dn.net/?f=%5Cmu%20%3D%20141%2C%20%5Csigma%20%3D%207)
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.
![Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)
![-1.555 = \frac{X - 141}{7}](https://tex.z-dn.net/?f=-1.555%20%3D%20%5Cfrac%7BX%20-%20141%7D%7B7%7D)
![X - 141 = -1.555*7](https://tex.z-dn.net/?f=X%20-%20141%20%3D%20-1.555%2A7)
![X = 130](https://tex.z-dn.net/?f=X%20%3D%20130)
The swimmer must complete the 200-meter backstroke in no more than 130 seconds.
LCM the last common multiple. the greatest common factor is the biggest number that will go into the 2 numbers so it can be no bigger than the 2 numbers. the LCM is larger than at least one of them
Answer:
the answer is 36 gallon
Step-by-step explanation:
Answer:
8^-3 I think (i'm too lazy to simplify)
Step-by-step explanation:
3 - 9 * 2 ÷ 3 = ?
3 - 18 ÷ 3 = ?
3 - 6 = -3
8 to the power of -3
hmmmm i dont think im right tell me if im not
Based on the calculations, the measures of angles 1 and 2 are 50° and 135° respectively.
<h3>What is the theorem of intersecting chord?</h3>
The theorem of intersecting chord states that when two (2) chords intersect inside a circle, the measure of the angle formed by these chords is equal to one-half (½) of the sum of the two (2) arcs it intercepts.
By applying the theorem of intersecting chord to circle U shown in the image attached below, we can infer and logically deduce that angle 1 will be given by this formula:
m∠1 = ½(53 + 47)
m∠1 = ½(100)
m∠1 = 50°.
Since angles 1 and 2 are linear pair, they are supplementary angles. Thus, we have:
m∠1 + m∠2 = 180°
m∠2 = 180 - m∠1
m∠2 = 180 - 50
m∠2 = 130°.
Read more on intersecting chords here: brainly.com/question/27251228
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