The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
<h3>What is normally distributed data?</h3>
Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.
The standard deviation of the data is the half of the difference of the highest value and mean of the data set.
The times of the runners in a marathon are normally distributed, with
- Mean of 3 hours and 50 minutes
- Standard deviation of 30 minutes.
Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.
The probability of runner selected with time less than or equal to 3 hours and 20 minutes,
Thus, the probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.
Learn more about the normally distributed data here;
brainly.com/question/6587992
Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:
Solving for x:
x = 30.2 units
Answer:
hope this helps...
Step-by-step explanation:
If this helped you please comment me...
Answer:
m∠NSR = 113°
m∠RSP = 67°
Step-by-step explanation:
Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.
m∠NSR = ![\frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%7D%28NR%29%2B%5Ctext%7Barc%7D%28PQ%29%5D)
= 
= 113°
Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]
113° + m∠RSP = 180°
m∠RSP = 180° - 113°
= 67°
