What is the taxi distance from point C(2,4) to point D(1,7)

Suppose that six guests check their hats when they arrive at the Cigar Parlor and that these hats are returned randomly when the

marissa [1.9K]

Answer:

0.1667

Step-by-step explanation:

There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

$P=\frac{5!}{6!}=0.1667$

The probability is 0.1667.

4 0

3 years ago

PLEASE HELP WILL GIVE BRAINLEST PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

VLD [36.1K]

Step-by-step explanation: 29-8=21 so im guessing just subtract bc from Ac and that's your evidence maybe?

7 0

3 years ago

Read 2 more answers

a leaky faucet is losing water and it is filling a 5 gallon bucket every 12 hours. At the rate, how many gallons of water will t

Alina [70]

Answer:

20 gallons

Step-by-step explanation:

First start off by dividing 48 by 12 to see how many times 12 goes into 48.

48 / 12 = 4

now that you know that 12 goes into 48 4 times, multiply 4 by 5 to see how many gallons the leaky faucet will fill in 48 hours.

4 x 5 = 20

therefore the answer is 20 gallons

I hope this helps ^^

3 0

3 years ago

Indicate the equation of the line, in standard form, that is the perpendicular bisector of the segment with endpoints (4, 1) and

jenyasd209 [6]

Equation of a line is $x+3y =-3$ .

<h3>What is a perpendicular bisector of the line segment?</h3>

A perpendicular bisector is a line that cuts a line segment connecting two points exactly in half at a 90 degree angle. To find the perpendicular bisector of two points, all you need to do is find their midpoint and negative reciprocal, and plug these answers into the equation for a line in slope-intercept form.

Given that,

Endpoints of the line segment are ( $x_{1},y_{1}$ ) = (4, 1) and ( $x_{2},y_{2}$ ) = (2, -5).

First find the midpoints of the given line segment.

M = $\left(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2}\Right)$

= $\left(\frac{4+2 }{2},\frac{1-5 }{2}\Right)$

M = $(3,-2)$

Now, Find the slope of the line :

It is perpendicular to the line with (4,1) and (2,-5)

Slope between ( $x_{1},y_{1}$ ) and ( $x_{2},y_{2}$ ) = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

so,

the slope between (4,1) and (2,-5) = $\frac{-5-1 }{2-4 }$

= 3

perpendicular lines have slopes the multiply to get -1

3 times m=-1

m= $\frac{-1}{3}$

The equation of a line that has a slope of m and passes through the midpoints M(3,-2) is

$y-y_{1} =m(x-x_{1} )$

$y-(-2) =\frac{-1}{3} (x-3 )$

$(y+2) =\frac{-1}{3} (x-3 )$

if we want slope intercept form

$(y+2) =\frac{-1}{3} x+1$

$y= \frac{-1}{3} x-1$

If we want standard form

$\frac{1}{3} x+y = -1$

$x+3y =-3$

Hence, Equation of a line is $x+3y =-3$ .

To learn more about perpendicular bisector of the line segment from the given link:

brainly.com/question/4428422

#SPJ4

7 0

1 year ago

One number is 18 more than another number. The sum of the numbers is 36. find the numbers

tatuchka [14]

We can use a system of equations in order to solve for both of the numbers. Let's start off by assigning variables to each number. The bigger number can be 'x', and the smaller number can be 'y'.

We can make two equations from the given:

x = 18 + y

("One number is 18 more than another number")

x + y = 36

("The sum of the numbers is 36")

If you look at the first equation, the variable 'x' already has a value (18 + y). We can input its value into the second equation in order to solve for y:

x + y = 36

(18 + y) + y = 36

18 + 2y = 36

2y = 18

y = 9

Input the value of 'y' into the first equation:

x = 18 + y

x = 18 + 9

x = 27

<u>One number is 27 and the other number number is 9.</u>

<u></u>

Let me know if you'd like me to explain anything I did here.

- breezyツ

7 0

3 years ago