Javier and tommy have money in their wallets. The sum of their money is $43. Javier has $11 more than Tommy. How much money do t
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Complete Question
A population has a mean of 25, a median of 24, and a mode of 26. The standard deviation is 5. The value of the 16th percentile is _______. The range for the middle 3 standard deviation is _______.
Answer:
The value of the 16th percentile is
The range for the middle 3 standard deviation is
Step-by-step explanation:
From the question we are told that
The mean is
The median is
The mode is
The standard deviation is
Generally the 16th percentile is mathematically represented as
So
Now from the normal distribution table the z-score of 0.16 is
z = -1
=>
=>
=>
=>
The range for the middle 3 standard deviation is mathematically represented
Applying the required <em>rule </em>or <em>theorem</em>, it can be concluded that the second biker is <u>farther</u> from the <em>parking lot</em>. The distance of the bikers to the <em>parking lot</em> are:
i. First biker = 17.0 km
ii. Second biker = 20.22 km
The <u>path</u> of travel of both bikers would form a triangle. Applying the <u>Pythagoras</u> theorem to the path of the <em>first</em> biker would give his <u>distance</u> from the starting point. While applying the <u>cosine</u> rule to the path of <em>second</em> rider would gives his <u>distance</u> to the starting point.
Thus,
a. <u>To determine the distance of the first biker from the parking lot.</u>
Let the required <em>distance </em>be represented by x. Applying the Pythagoras theorem, we have:
=
+
=
+
= 64 + 225
= 289
x =
= 17
x = 17 km
Thus, the <u>first</u> biker is 17.0 km from the <em>starting</em> point.
b. <u>To determine the distance of the second biker from the parking lot.</u>
Let the required <em>distance</em> be represented by x. So that applying the cosine rule, we have:
=
+
- 2ab Cos θ
=
+
- 2(15*8) Cos (180 - 20)
= 64 + 225 - 240 Cos 160
= 289 - 240 * -0.5
= 289 + 120
= 409
x =
= 20.2237
x = 20.22 km
Thus, the <u>second</u> biker is 20.22 km from the <em>starting</em> point.
Therefore, the second biker is <u>farther</u> from the <em>parking lot</em>.
A sketch of the path of travel for the two bikers is attached for more clarifications.
Visit: brainly.com/question/22699651
