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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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alexandr402 [8]
The answer to 29×97 would be 2813
6 0
3 years ago
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0?
s344n2d4d5 [400]

Answer:

2 units

Step-by-step explanation:

The given equation of the circle is:

x^{2} + y^{2}+8x-6y+21=0

The general equation of the circle is:

x^{2} + y^{2}+2gx+2fy+c=0

Comparing the given equation with the general equation we can say:

g = 4

f = -3

c = 21

The formula for radius of the circle is:

radius=\sqrt{g^{2} +f^{2} -c }

Using these values of the given circle, we get:

radius=\sqrt{(4)^{2}+(-3)^{2}-21}\\\\radius=\sqrt{4}\\\\radius=2

Therefore, the length of radius of the given circle is 2.

3 0
3 years ago
Write and solve a system of equations made up of Aiden's and Natalie's lines of best fit that they can use
dezoksy [38]

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Given the equations:

Aiden: y = 2.3x + 160.7

Natalie: y = 3.6x + 202.6

For their tennis balls to cover the same distance:

2.3x + 160.7 = 3.6x + 202.6

1.3x = -41.9

x = -32.3

The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.

Find out more on linear equation at: brainly.com/question/14323743

7 0
3 years ago
What is 8% of 75?.?.?
alisha [4.7K]

Answer:

6

Step-by-step explanation:

(8:100) * 75

(8*75) : 100

600:100 = 6

4 0
3 years ago
4/5 divided by -3/5 any answers because right now I’m really stuck
MatroZZZ [7]

Answer:

-1 1/3 as a mixed number (if they ask for it in simplest form, choose this one)

-4/3 as an improper fraction

Step-by-step explanation:

1. Keep, change, flip

4/5 x -5/3

2. Cross cancel the fives

4/1 x -1/3

3. Simplify

-4/3 or -1 1/3 (they're equivalent)

7 0
3 years ago
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