Answer:
The boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 450
Standard Deviation, σ = 50
We are given that the distribution of time for fitness test is a bell shaped distribution that is a normal distribution.
Formula:

We have to find the value of x such that the probability is 0.10
P(X<x) = 0.10

Calculation the value from standard normal z table, we have,


Hence, boys need to complete the run in 385.9 seconds or less in order to earn a certificate of recognition from the fitness association.




We clearly get the maximum at x=-3, in which case y=0
Answer: 0, last choice
Answer:
13balls
Step-by-step explanation:
2(7x+8)-14x+3=? distribute
14x+16-14x+3 do like terms
14x-14x cancel
16-3 =13
it may seem confusing in the explanation but i hope that helps.
The current when the resistance is 10 ohms is 24 amps
<h3>What are variations?</h3>
Variations are simply data that change in values (i.e. not constant)
<h3>Types of variation</h3>
The types of variations are:
- Direct variation
- Inverse variation
- Joint variation
- Combine variation
From the complete question (see attachment), we have the following highlights
- The variation is an inverse variation
- When current (I) is 30 amps, the resistance (R) is 8 ohms
An inverse variation is represented as:

Where k represents the constant of variation.
The above equation can be rewritten as:

So, we have:


When the resistance is 10 ohms, we have:

Divide both sides by 10

Rewrite the above equation as:

Hence, the current when the resistance is 10 ohms is 24 amps
Read more about inverse variation at:
brainly.com/question/1327394
9514 1404 393
Answer:
- kayak: 12 mph
- current: 2 mph
Step-by-step explanation:
Bunny's rate downstream is ...
(70 mi)/(5 h) = 14 mi/h = k + c
Bunny's rate upstream is ...
(70 mi)/(7 h) = 10 mi/h = k -c
The kayak speed is the average of these:
(14 mi/h +10 mi/h)/2 = ((k +c) +(k -c))/2
(24 mi/h)/2 = 2k/2
12 mi/h = k
Then the current speed is ...
c = k -10 = 12 -10 = 2 . . . . mi/h
The still-water speed of the kayak is 12 mi/h; the speed of the current is 2 mi/h.
_____
<em>Additional comment</em>
World-class kayak paddlers will not maintain a speed more than 8 mi/h for that distance and/or time (140 miles in 12 hours). Bunny is exceptional.