Question
In: Statistics and Probability
To qualify as a contestant in a race, a runner has to be in the fastest...
To qualify as a contestant in a race, a runner has to be in the fastest 16% of all applicants. The running times are normally distributed, with a mean of 58 min and a standard deviation of 5 min. To the nearest minute, what is the qualifying time for the race?
Solutions
orchestra answered 2 years agoRelated Solutions
In a relay race, runner A is carrying the baton and has a speed of 2.60...
In a relay race, runner A is carrying the baton and has a speed
of 2.60 m/s. When he is 25.0 m behind the starting line, runner B
starts from rest and accelerates at 0.0600 m/s2. How long
afterwards will A catch up with B to pass the baton to B?
At the end of a race a runner decelerates from a velocity of 9.40 m/s at...
At the end of a race a runner decelerates from a velocity of
9.40 m/s at a rate of 2.20 m/s2.
(a)
How far in meters does she travel in the next 5.10 s? (Assume
the deceleration of 2.20 m/s2 is constant over the full
5.10 s.)
m
(b)
What is her final velocity in m/s?
m/s
(c)
Evaluate the result. Does it make sense?
2. Speeds of the fastest cars at a race location are normally distributed with a mean...
2. Speeds of the fastest cars at a race location are normally
distributed with a mean of 64.8 mph, and standard deviation 8.9
mph. Find the speed that separates the slowest 6% of vehicles from
the rest. Round your answer to two decimal places.
3. Refrigerators of a certain type have lifetimes that are
normally distributed with mean 675 hours and standard deviation
44.5 hours. Find the lifetime (in hours) that would separate the
longest 1.5% from the rest. Round...
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
t (s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.2
10.8
14.9
18.1
19.4
20.2
Part 1 of 5
We will use either L6 or
R6 for the upper and lower estimates.
Since the runner's speed is...
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
ft (smaller value)
ft (larger value)
t
(s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.7
11.2
14.1
17.5
19.8
20
The speed of a runner increased steadily during the first three seconds of a race. Her...
The speed of a runner increased steadily during the first three
seconds of a race. Her speed at half-second intervals is given in
the table. Find lower and upper estimates for the distance that she
traveled during these three seconds.
t (s)
0
0.5
1.0
1.5
2.0
2.5
3.0
v
(ft/s)
0
6.2
10.8
14.9
18.1
19.4
20.2
On a game show, a contestant has to match a price with a prize they wish...
On a game show, a contestant has to match a price with a prize
they wish to win. The prizes are a sports car and a boat. Of the
four different price options, one is the price for the sports car,
one is the price for the boat and two prices are incorrect. The
contestant chooses one prize and matches it up with one price.
Create a probability tree that shows all possible selections the
contestant can make and calculate...
create an ontology for expressing relationships in the Blade Runner movie franchise (Blade Runner, Blade Runner...
create an ontology for expressing relationships in the Blade
Runner movie franchise (Blade Runner, Blade Runner 2049, and the
publicity short movies)
A game on The Price is Right has the contestant choose 12 tiles from a wall...
A game on The Price is Right has the contestant choose 12 tiles
from a wall containing 25 tiles. Of the 25 tiles, 12 have a dollar
sign on the back and the rest are blank. If all 12 of the tiles the
constestant picks have a dollar sign, the contestant wins
$100,000. However, if they pick just 10 tiles with the dollar
sign, they win $10,000. In how many ways could the contestant pick
exactly 10 of the 12...
A game show has three doors for a contestant to choose from. Behind one of the...
A game show has three doors for a contestant to choose
from. Behind one of the doors is a brand new car, and behind the
other two doors are a goat. The contestant randomly
picks a door (⅓ probability of each). The host opens one of the
other two doors and reveals a goat. The host then gives the
contestant the option of keeping their original
door, or switching to the other unopened door. If the contestant
switches, what is...
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