Twenty distinct cars park in the same parking lot every day. Ten of these cars are USmade while the other ten are foreign-made. The parking lot has exactly twenty spaces all in a row so the cars park side by side. However, the drivers have varying schedules so the position any car might take on a certain day is random. What is the probability that on a given day, the cars will park in such a way that they alternate (i.e., no two US-made cars are adjacent and no two foreign-made cars are adjacent)?
Answer:
The probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
Step-by-step explanation:
It is provided that the cars will be parked in such a way that they will be alternating: US made, foreign made, US made, foreign made, etc.
First park all the US cars. This can be done in 10! ways, since the cars are distinct.
Now park the foreign cars between the US cars. This can also be done in 10! ways.
Since the sequence could begin either with a US car or with a foreign car, the possible number of ways to park alternating cars is
Favorable Outcomes = 2 × 10! × 10!
The total number of ways to park the 20 distinct cars is,
Total Outcomes = 20!
Compute the probability that on a given day, the cars will park in such a way that they alternate as follows:
[tex]P(\text{Alternate Parking})=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]
[tex]=\frac{2\times 10!\times 10!}{20!}\\\\=\frac{2\times 10!\times 10!}{20\times 19\times 18\times ...10!}\\\\=\frac{2\times 10!}{20\times 19\times 18\times ...11}\\\\=1.0825\times 10^{-5}[/tex]
Thus, the probability that on a given day, the cars will park in such a way that they alternate is 1.0825 × 10⁻⁵.
Please answer this correctly without making mistakes
2/3 x-4 = -2
A -3
B -4
C -9
D 3
Answer:
i think its d
Step-by-step explanation:
cause i solved it and got the same answer
The value of 8 in 8596 is blank the value of 8 in 985
pls help asap :(
solve for h
Convert the following 450 seconds to minutes. Use common ratios for help
Step-by-step explanation:
1 minute has 60 seconds
what about 450 seconds
so
450/60=7.5
so 450 seconds are 7.5 minutes.
Without using a calculator, order the following expressions from least to greatest.
Here we want to order from least to greatest the following expressions:
7.12 = 7.121212...
√75
√45
We will find that the order is: √45 < 7.12 < √75
remember that:
√x = y
such that:
y*y = x
From this, is easy to see that:
√45 < √75
Now to see where 7.1212... enters, we need to compute:
(7.1212...)*(7.1212...) = (7 + 0.1212...)*(7 + 0.1212...)
= 7*7 + 2*7*0.121212... + 0.1212...*0.1212...
= 49 + 2*7*0.121212... + 0.1212...*0.1212... > 45
So we know for sure that:
7.12 > √45
And 8*8 = 64 < 75
then:
7.12 < 8 = √64 < √75
For transitivity, we have:
7.12< √75
Then the order, from least to greatest, is:
√45 < 7.12 < √75
If you want to learn more, you can read:
https://brainly.com/question/21548193
I need help! This is 8 points!
Boxing Chocolates
The chocoholic Chocolate Company wants to create three different boxes of chocolates for Valentine’s Day with 20, 32, and 36 chocolates in a box. The chocolates will be arranged in a rectangle, with the space needed for each chocolate is one square inch. The company would like to order ribbon to go all the way around the slides of each box, and the managers are wondering whether they can order the same length of ribbon for all three boxes. Is this possible?
Rewording:
3 rectangular boxes with 20, 32, and 36 sqin (square inches). Can the perimeter of all of them be the same?
Please help this is due on Sunday
Answer:
nope
Step-by-step explanation:
there are same sizes fine but the breadth isn't the same
Solve for x.
6x
(2x + 12)
Need help with 2 and 3 and express I’m radical form
Paulo has $12 and wants to buy grapes from the fruit vendor. they cost 2.59 per pound . what is the maximum number of grapes he can buy
write the inequality and solve it
The sum of the measures of the angles of any triangle is 180 degrees. In triangle ABC, angles A and B have the same measure, while the measure of angle C is 90
degrees larger than each of A and B. What are the measures of the three angles?
Step-by-step explanation:
A
is 45
B
is 45
C
is 90
hence
A+B+C=180
=45+45+90 =180
-
-4x3 + 2x2 + 8x – 4 = 0
Answer:
Step-by-step explanation:
x=
2
4−
24
=2−
6
=−0.449
x=
2
4+
24
=2+
6
=4.449
5/6 divided by _____=5/36
6 divided by 1.
Step-by-step explanation:
5/6 divided by 6/1 will give 5/6* 1/6 = 5/36
what is the length of YZ?
What is the slope of the line?
Answer:
3
Step-by-step explanation:
Because the slope line is ending on 3
A group of 5 scuba divers started a journey at 1:00 at sea level . The descended steadily 12 feet per minute and observed 3 schools of fish and 2 coral reefs. What is the initial value ? What is the rate of change?
Answer:
7.20
Step-by-step explanation:
Choose the more precise measurement A 5.7 yd B) 5.89 yd
When the unit digits are the same , we have to look at the decimal places . Since the unit digits in 5.7 and 5.89 are same , which is 5 , let us look at the decimals . As 5.89 has more decimal digits when compared with 5.7 , we say that the measurement 5.89 has more precision .
Therefore , 5.89 us has more precision .
Solve for x 3x+wx=20
Answer:
X=[tex]\frac{20}{3+w}[/tex]
Step-by-step explanation:
We are to solve for x by factorizing the given expression
The value of x is [tex] \frac{20}{ 3 + w} [/tex]
Given:
3x + wx = 20
factorize
3x + wx = 20
x(3 + w) = 20
Divide both sides by 3+w
x = [tex] \frac{20}{ 3 + w} [/tex]
Read more:
https://brainly.com/question/16504783
4log3 X + log7 help
help help
Answer:
log (567x 4)
The 4 is and exponent
Step-by-step explanation:
X-6y-7=0. What is equation in general form.
Answer:
y=1/6x-7/6
Step-by-step explanation:
-6y = -x + 7
y = x/6 - 7/6
This is assuming you mean in standard form.
Also, you may have to write it as 'y=1/6x-7/6'
I’m just testing to see how long it takes for someone to answer. Please answer!!!
Answer:
Um, hi...do you have a question at all??
Step-by-step explanation:
Lake Superior, along the us Canada border, has a maximum depth of 1333 feet. There are 5280 feet in one mile. How deep is lake Superior in miles ? Round to the nearest hundredth if necessary. PLEASE HELP PLEASE
Answer:
= 0.2525 miles
Step-by-step explanation:
Jody and Mark are using the spinner shown for a probability experiments they spend the spinner on the left if they spin A2 or A3 then they spin the spinner on the right which organized list showing all the possible outcomes for
Answer:
2 and 4
3 and 4
2 and 5
3 and 5
2 and 6
3 and 6
The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y=1760m. Find measurements in yards and miles for distances by filling in the table. What value goes into cell A?
Answer:
вы молодец и уже всё верно
Margie is offered two different jobs. The first is as a
cashier at a grocery store where she'd work for 22
weeks and earn $350.00 per week. The second is as a
dog walker where she'd work for 8 months and would
earn $1375.00 per month with monthly raises of 5%
of the previous months salary. How much more does
Margie earn if she takes the dog walking job?
Answer:
$424552300
Step-by-step explanation:
Why u yelling I don’t know mannn
Answer:
Stop yellin
Step-by-step explanation:
Exponential Function:
Activity: Bacterial population
A population of bacterium in laboratory conditions grows every 20 minutes in 10% the number of specimens. At the beginning of the observation, at 8:00 AM, the population had approximately 3,000,000 individuals:
1. Complete the following attached table (table below) as requested by completing each of the blank boxes.
2. What is the approximate population of bacterium at 10:00 AM?
3. Write the function in power form, indicating which is the dependent and independent variable.
4. Using the function found, determine the bacterial population five hours after the start of the observation.
Answer:
See below
Step-by-step explanation:
GivenInitial population at 8:00 AM3000000Growth rate = 10% = 1.1 times per 20 minSolution1. Table
Note. I am not sure what are the last 3 rows. Just added next 3 terms.
8:00 ≡ G(0) ≡ 3000000 ≡ 30000008:20 ≡ G(1) ≡ 3000000 *1.1 ≡ 33000008:40 ≡ G(2) ≡ 3000000 *1.1^2 ≡ 36300009:00 ≡ G(3) ≡ 3000000 *1.1^3 ≡ 39930009:20 ≡ G(4) ≡ 3000000 *1.1^4 ≡ 43923002. Population at 10:00
Time passed since 8:00 is 2 hours = 2*3*20 min = 6* 20 minPopulation = 3000000*1.1^6 = 53146833. Function to reflect the population growth
G(x) = 3000000*1.1^xG(x) - is dependent variable, population of bacteriax - is independent variable, time increment of 20 min4. Population after 5 hours
5 hours = 5*3*20 min = 15*20 minG(15) = 3000000*1.1^15 ≈ 12531745Factor 6(x − 4)2 − (x − 4) − 2 completely.
Answer:
11x - 46
I hope this helps!
Answer:
12(x-4)-x+4-2
12x-48-x+4-2
11x-46
What is 6P3? A) 20 B) 18 C) 630 D) 120
Answer:
120
Step-by-step explanation:
Use the permutation and combination formulas to evaluate.
Answer:
20
Step-by-step explanation:
just took the test