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Misha Larkins [42]
3 years ago
11

A presidential candidate plans to begin her campaign by visiting the capitals in 3 of 42 states. What is the probability that sh

e selects the route of three specific​ capitals?
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer as a fraction = 1/68880 which is exact

Answer in decimal form = 0.0000145 which is approximate

=======================================================

Explanation:

Let's call these three cities A, B, and C

There is only one order ABC out of 42*41*40 = 68,880 different possible three city routes to pick from.

So the probability is 1/68880

If you want the answer in decimal form, then use your calculator to find

1/68880 = 0.0000145 approximately

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3 years ago
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Which line is perpendicular to the line whose equation is 5y + 6 = -3x?
Lynna [10]

Answer: B

Step by Step

5y + 6 = -3X

5y = -3X - 6

Y = -3/5X -6/5

Perpedicular is the flip of your slope so -3/5 becomes 5/3X

6 0
3 years ago
A ball is launched at 30 meters per second (m/s) from a 20-meter tall platform. The equation for the object's height s at time t
Juliette [100K]

The maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

<h3>maximum height the ball reaches</h3>

The maximum height the ball reaches is calculated as follows;

s(t) = -4.9t² + 30t + 20

at maximum height, final velocity = 0

v = 0

ds/dt = -9.8t + 30 = 0

9.8t = 30

t = 30/9.8

t = 3.06 seconds

s(3.06) = -4.9(3.06)²  + 30(3.06)  + 20

s(3.06) = 65.92 m

Thus, the time taken for the ball to reach the maximum height is 3.06 seconds.

<h3>Time of flight of the ball</h3>

The time taken for the ball to hit is the total time of flight = 2 x 3.06 seconds = 6.12 seconds.

Thus, the maximum height the ball reaches is 65.92 m.

The time taken for the ball to reach the maximum height is 3.06 seconds.

The time taken for the ball to hit the ground is 6.12 seconds.

Learn more about maximum height here: brainly.com/question/12446886

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4 0
1 year ago
Help for 13-15 pls and explain for 15
Pani-rosa [81]
13. 1
14. 1
15. any number and 0 will have a quotient of 0.
for example 7/0=0 .     8/0=0 .    9/0=0
if you try and check your work using multiplication 7*0=0 .    8*0=0 .    9*0=0
then you will realize the rule is right
4 0
3 years ago
A bicycle is traveling at 22 miles per hour. How many feet will it cover in 45 seconds? Round your answer to the nearest tenth o
puteri [66]
  • Answer:

<em>1452 feet</em>

  • Step-by-step explanation:

<em>1 hour = 60min×60sec = 3600 sec</em>

<em>1 miles = 5280 feet</em>

<em>22 miles = 22×5280ft = 116160 ft</em>

<em />

<em>3600sec ................. 116160 ft</em>

<em>45sec ................................ x ft</em>

<em>x = 45×116160/3600</em>

<em>= 5227200/3600</em>

<em>= 1452 feet</em>

7 0
3 years ago
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