Answer:
The domain in interval notation would be (−∞,3)∪(3,∞) In set builder notation it would be {x|x≠3}
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.
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
Line passes (-5, -1) and (10, -7)
Answer:
[tex]y=-\frac{2}{5}x-3[/tex]
Step-by-step explanation:
Write in slope-intercept form, y = m x +b .
Answer: m = -0.4
Step-by-step explanation: -7 - (-1) = -6 and 10 - (-5) =15, m=y/x so -6/15 equals -0.4.
Hope this helps!
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.
What is the slope of the line?
Answer:
3
Step-by-step explanation:
Because the slope line is ending on 3
The value of 8 in 8596 is blank the value of 8 in 985
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:
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
Please answer this correctly without making mistakes
Need help with 2 and 3 and express I’m radical form
Why u yelling I don’t know mannn
Answer:
Stop yellin
Step-by-step explanation:
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:
Joel used a half gallon of paint to cover 84 square feet of wall. He has 932 square feet of wall to paint. How many gallons of paint should he purchase?
I will give u a Brainly <33 :)
Answer:
6 Gallons of Paint
Step-by-step explanation:
If you use a half gallon of paint to cover 84 square feet, how much could you paint with a full gallon? Lets figure it out:
[tex]\frac{1}{2} = 84[/tex]
multiply both sides by 2 so that the 1/2 gallon is now 1 gallon:
[tex]\frac{1}{2} * 2 = 84 * 2[/tex]
1 gallon = 168 square feet
now, how many gallons does it take to paint 932 square feet?
Divide 932 by 168:
[tex]\frac{932}{168} = 5.548[/tex]
Just like you cant buy 2.374 cheeseburgers, you cant buy 5.548 gallons of something so we round up and will have some paint left over once the job is done. So 6 gallons is the answer
The amount of gallons needed is 5.55gallons approximately
If Joel used a half-gallon of paint to cover 84 square feet of wall, this can be expressed using the equality sign as:
1/2 gallons = 84 square feet
In order to find the number of gallons for 932 square feet of wall to paint, we will write:
x = 932 square feet
Divide both expressions
1/2x = 84/932
2x = 932/84
2x = 11.09
x = 11.09/2
x = 5.55 gallons
This shows that the amount of gallons needed is 5.55gallons approximately
Learn more here: https://brainly.com/question/3796978
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
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
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
Factor 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
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
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'
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
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
4log3 X + log7 help
help help
Answer:
log (567x 4)
The 4 is and exponent
Step-by-step explanation:
Round to the place valué of the under lined digit 641,267 the 4 Is under lined
answer:
640,000
step-by-step explanation:
to find the answer, we need to determine whether 41,267 is closer to 40,000 or 50,000.
looking at the numberline, we can conclude that the placement of 641,267 is closer to 640,000, not 650,000.
therefore, the answer is 640,000. (see image attached)
hope this helps :)
-audrey <3
GIVING BRAINLIST SO PLZZ HELP I REALLY NEED HELP
Which situation results in a final value of zero?
A. The temperature after a decrease of 5ºF from a temperature of -5ºF.
B. The height of an airplane after taking off from ground level and rising 1,000 feet.
C. The amount of money received in change after making a $10 purchase with a $20 bill.
D. The distance above sea level after increasing 24 meters from a depth of 24 meters below sea level.
Answer:
The answer is D.
Step-by-step explanation:
-24+24=0
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
Find the equation of the line using the given information.
(x, y) = (-3,0) and (x, y) = (-3, 5) are points on the line
Pls help
Answer:
x 1 = -3
x2 = -3
y1 = 0
y2 = 5
The slope of that equation is infinite and the equation is a perfectly vertical line at x = -3.
So, the equation is x = -3.
Step-by-step explanation:
Given parameters:
The coordinates of points on the line;
(x, y) = (-3,0) and (x, y) = (-3, 5)
Unknown;
The equation of the line = ?
The equation of a line is usually expressed in the form y = mx + c
Where;
y and x are the coordinates
m is the slope
c is the y-intercept
Now we need to first find the slope of the line.
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
(x₁, y₁) = (-3,0) and (x₂, y₂) = (-3, 5)
Input the parameters and solve;
Slope = [tex]\frac{5 - 0}{-3 -(-3)}[/tex] = infinity
The line has an infinite slope.
The equation of the line is therefore x = c
x = -3
Solve for x.
6x
(2x + 12)
15 POINTS TO THE FIRST TO ANSWER
Simplify the expression. SHOW ALL STEPS for full credit!
(x-2)(-2x^2 - 4x + 6)
21. CAREERS Many professions use deductive reasoning and paragraph proofs. For example, a police officer uses deductive reasoning investigating a traffic accident and then writes the findings in a report. List a profession, and describe how it can use paragraph proofs.
Answer:
don't know..I am not fully understand.
can u please bhut other example