The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. (1 point)
Function 1
graph of function f of x equals negative x squared plus 8 multiplied by x minus 15
Function 2
f(x) = −x2 + 2x − 3
Function 1 has the larger maximum at (1, 4).
Function 1 has the larger maximum at (4, 1).
Function 2 has the larger maximum at (1, −2).
Function 2 has the larger maximum at (−2, 1).
Answers
Finding the vertex of the quadratic functions, the correct statement is:
Function 1 has the larger maximum at (4, 1).
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.For function 1, we have that:
f(x) = -x² + 8x - 15.
Hence the coefficients are a = -1, b = 8, c = -15, and the vertex is:
[tex]x_v = -\frac{8}{2(-1)} = 4[/tex][tex]y_v = -\frac{8^2 - 4(-1)(-15)}{4(-1)} = 1[/tex]For function 2, we have that:
f(x) = -x² + 2x - 3.
Hence the coefficients are a = -1, b = 2, c = -3, and the vertex is:
[tex]x_v = -\frac{2}{2(-1)} = 1[/tex][tex]y_v = -\frac{2^2 - 4(-1)(-3)}{4(-1)} = -2[/tex]1 > -2, hence the correct statement is:
Function 1 has the larger maximum at (4, 1).
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
#SPJ1
Related Questions
Select all the correct answers.
A survey found that 50% of teenagers prefer to watch a movie at a theater over other viewing options. You want to know the estimated probability that three out of four randomly chosen teenagers do not prefer watching a movie at a theater. How could you design a simulation for this situation?
Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
Pick a card from a deck of standard playing cards four times, with red suits representing those who prefer watching a movie at a theater and black suits representing those who do not.
Spin a spinner with four equal sections three times, with one section representing each person.
Roll a six-sided die four times, with even numbers representing those who prefer watching a movie at a theater and odd numbers representing those who do not.
Generate a set of four numbers using a number generator, with numbers 0 to 5 representing those who prefer watching a movie at a theater and 6 to 9 representing those who do not.
Answers
An equivalent situation, in which the binomial distribution could be used, is given by:
Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.For this problem, the parameters are:
p = 0.5, n = 4;
The other situation that would represent a binomial distribution with the same parameters is given by:
Flip a fair coin four times, with heads representing teenagers who prefer watching a movie at a theater and tails representing those who do not.
The other situations have different values of p, hence they are not equivalent.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
#SPJ1
The table shows coffee preferences from a survey.
Coffe Type Plain Sugar Creamer
Regular 0.27 0.19 0.32
Decaf 0.05 0.08 0.09
If a person is chosen at random in this survey, what is the P(decaf or sugar)?
0.54
0.41
0.22
0.08
Answers
Using it's concept, the desired probability is given as follows:
P(decaf or sugar) = 0.41.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes. A probability can also be represented as a proportion.
From the table, we have that:
P(decaf) = 0.05 + 0.08 + 0.09 = 0.22.P(sugar - decaf) = 0.19.Hence:
P(decaf or sugar) = 0.22 + 0.19 = 0.41.
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
Which relation is a function of x?
O
X
y
-1 7
223
X y
-8 -9
-8
2
1
1
X
-5
-5
-5
-5
8
-4
X
-9
2
y
1
7
-9
2
y
Answers
Answer: Option 4
Step-by-step explanation:
Each value of x maps onto only one value of y.
I can't seem to figure this out
Answers
Answer:
50
Step-by-step explanation:
→ Evaluate n as 1, 2, 3 and 4 in 5n
5, 10, 15 and 20
→ Find the sum of these numbers
5 + 10 + 15 + 20 = 50
Which values of m and b will create a system of equations with no solution? Select two options.
y = mx + b
y = –2x + A system of equations. y equals m x plus b. y equals negative 2 x plus StartFraction 3 over 2 EndFraction.
Answers
Using linear function concepts, a system of equations with no solutions is created when:
[tex]m = -2, b \neq \frac{3}{2}[/tex]
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The intersection of two lines is the solution of a system of equations. If two lines have the same slope and different intercepts, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
y = mx + b.y = -2x + 3/2.Hence, for a system with no solution, we need that:
[tex]m = -2, b \neq \frac{3}{2}[/tex]
More can be learned about linear function concepts at https://brainly.com/question/24808124
#SPJ1
Name each angle pair
Answers
The angle pairs that we can observe from the figure are
1 and 5 3 and 4Straight angle pairs, often referred to as linear pairs, are formed when two lines cross, creating two side-by-side angles that sum to 180 degrees. The requirement that the two angles in a straight angle or linear pair be adjacent is crucial. The two angles cannot form a linear pair if they are not side-by-side (share the same side) (even if they add to 180 degrees). Check out the depiction of straight angle/linear pairings in the picture below.
The angle pairs that we can observe from the figure are
1 and 5 3 and 4As we can see in the following figure that supplementary angles are called angle pairs.
Learn more about angle pairs here-
brainly.com/question/13045673
#SPJ10
Graph the line with the equation
Answers
The graph of the linear equation can be seen in the image below.
How to graph the linear equation?Here we have the linear equation:
y = (2/5)*x - 6
To graph it, we just need to find two points on the line, and then connect them with a line.
To find the points we just evaluate in two values of x.
if x = 0.
y = (2/5)*0 - 6 = -6
Then we have the point (0, -6)
If x = 5.
y = (2/5)*5 - 6 = 2 - 6 = -4
Then we have the point (5, - 4)
Now we can graph these two points and connect them with a line. The graph of the line can be seen below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
how to show that two triangles are congruent
Answers
Answer:
To show that 2 triangles are congruent, both triangles must have the same the same size and shape. Basically both triangles must have the same 3 angles and 3 sides.
Step-by-step explanation:
This means that the corresponding sides are equal and the corresponding angles are equal. We can tell whether two triangles are congruent without testing all the sides and all the angles of the two triangles.
Hope this helped! :D
Answer:
Step-by-step explanation:
Follow this rules
SSS (Side-Side-Side) SAS (Side-Angle-Side) ASA (Angle-Side-Angle) AAS (Angle-Angle-Side)The average adult in Bell Town makes $40,000
a year. The average female adult there makes
$50,000 a year. If Bell Town has a total of
6,000 adults, 4,000 of whom are female, how
much does an average male adult in Bell Town
make?
A. $20,000
B. $30,000
C. $40,000
D. $60,000
Answers
Consider the equality xy=k. Write the following inverse proportion: y is inversely proportional to x. When y = 3, x = 7.
1/7 = k/3
3/1 = k/7
Answers
The correct expression for the inverse proportion is k/7 = 3/1
Inverse proportionsGiven the inequality xy = k
If y is inversely proportional to x, then;
y = k/x
Given that y = 3, and x = 7, then;
3 = k/7
Swap
k/7 = 3
k/7 = 3/1
Hence the correct expression for the inverse proportion is k/7 = 3/1
Learn more on inverse proportion here: https://brainly.com/question/1266676
#SPJ1
What is the probability of getting an even number on the spinner? A. 5/6 B. 4/6 C. 3/6 D. 1/3
Answers
What property is (3x+7)+(2x+8)=3x+7+2x+8
Answers
Answer:
distributive property
Step-by-step explanation:
(3x + 7) + (2x + 8)
each of the parenthesis has a multiplier of 1 , placed outside the parenthesis.
then multiplying the terms inside the parenthesis by 1 gives
3x + 7 + 2x + 8
I need help please and thank you!!
Answers
Hello and Good Morning/Afternoon
Let's take this problem step-by-step
The Line DF is '5x + 7' cm long
The Line DF is made up of two lines DE and EF
⇒ therefore
[tex]DE + EF = \\ 7 + 4x + 3 = 5x + 7\\10+4x=5x+7\\5x-4x=10-7\\x=3[/tex]
Let's plug x's value into '5x + 7'
[tex]\hookrightarrow DF = 5(3) +7=22[/tex]
Answer: 22cm
Hope that helps!
#LearnwithBrainly
A spinning wheel has the following numbers.
(There are 1-8 numbers in the wheel)
Cathy spins the wheel and tosses a coin simultaneously.
Find the following probabilities:
Getting a 7 and tails.
Getting a prime number and heads.
Getting a number greater than 5 and tails.
Answers
Answer:
[tex]\frac{1}{16}, \frac{1}{4}, \frac{3}{16}[/tex]
Step-by-step explanation:
Recall a probability: [tex]P=\frac{F}{T}[/tex] , where F is a number of favorable outcomes and T is a number of total outcomes.
The probability to get tail is [tex]\frac{1}{2}[/tex] as well as probability to get head.
The probability to choose number 7 of 8 numbers at total is equal to [tex]\frac{1}{8}[/tex].
Therefore, the probability to get number 7 and a tail is:
[tex]\frac{1}{8}\cdot \frac{1}{2}=\frac{1}{16}[/tex]
Prime numbers from 1 to 8 are: 2, 3, 5 and 7, so there are 4 numbers of 8 numbers in total, so the probability to get a prime number is [tex]\frac{4}{8}=\frac{1}{2}[/tex].
The second probability is equal to [tex]\frac{1}{2}\cdot \frac{1}{2}=\frac{1}{4}[/tex].
The numbers greater than 5 are: 6,7,8, so there are 3 numbers of 8 in total, so the probability to get a number greater than 5 is [tex]\frac{3}{8}[/tex].
The third probability is equal to: [tex]\frac{3}{8}\cdot \frac{1}{2}=\frac{3}{16}[/tex].
If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is ______ probability.
Answers
If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is Empirical probability.
If the events are mutually exclusive, special additional rules can be applied. -Additional general rules can be used if the events are not mutually exclusive. Events A and B must be mutually exclusive.
If the occurrence of one event is not completely affected by the occurrence of another event, such an event is probabilistically called an independent event, and the event affected by another event is a dependent event. Is called dependent events.
Learn more about fractions here: https://brainly.com/question/78672
#SPJ4
Researchers conducted a study to find out if there is a difference in the use of ereaders by different age groups. randomly selected participants were divided into two age groupsin the to 29year-old group7% of the 628 surveyed use ereaders, while 11of the 2,309 participants 30 years old and older use ereaders(use subscripts let 1 16- to 29-year-old users , and 230 years old and
Answers
No, there is significant difference in the use of e readers by different age groups.
Given sample 1 ( 29 years old) [tex]n_{1}[/tex]=628, [tex]p_{1}[/tex]=7%, sample 2( 30 years old)[tex]n_{2}[/tex]=2309, [tex]p_{2}[/tex]=0.11.
We have to first form hypothesis one null hypothesis and other alternate hypothesis.
[tex]H_{0}:[/tex]π1-π2=0
[tex]H_{1}:[/tex]π1-π2≠0
α=0.05
Difference between proportions [tex]p_{1}-p_{2} =-0.04[/tex]
[tex]p_{d}=0.07-0.11=-0.04[/tex]
The pooled proportion needed to calculate standard error is:
[tex]p=(X_{1} -X_{2} )/(n_{1} +n_{2} )[/tex]
=(44+254)/(628+2309)
=0.10146
The estimated standard error of difference between means is computed using the formula:
[tex]S_{p_{1} -p_{2} }=\sqrt{p(1-p)/m_{1}+p(1-p)/n_{2} }[/tex]
=[tex]\sqrt{0.101*0.899/628+0.101*0.899/2309}[/tex]
=[tex]\sqrt{0.000143+0.00003}[/tex]
=[tex]\sqrt{0.000173}[/tex]
=0.01315
Z= Pd-(π1-π2)/[tex]S_{p_{1} -p_{2} }[/tex]
=-0.04-0/0.013
=-3.0769
This test is a two tailed test so the p value for this test is calculated as (using z table)
p value:2 P(Z<-3.0769)
=2*0.002092
=0.004189
P value< significance level of 5%.
Hence there is enough evidence to show the claim that there is a significant difference in the use of e readers by different age groups.
Learn more about hypothesis at https://brainly.com/question/11555274
#SPJ4
Question is incomplete as it also includes:
Significance level of 5%.
Which polygon is a unit tile in this tessellation
Answers
Answer:
Option no. B is a unit tile in that tesselation
i.e rectangular shape
Step-by-step explanation:
Well, it's because we all know that tesselation
only use one shape and it's sum is always 360°
meanwhile sum of rectangle=360°
as each side of rectangle are 90°
90°*4=360°##
I hope it helped you to understand more clearly...
The athletic boosters club at Coral High plans a car wash to raise funds for the sports program. An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times. What is the utilization rate
Answers
The utilization rate is 83.33
The Poisson distribution is a discrete probability distribution that expresses the probability of a given number of events occurring in a fixed interval of time or space if these events occur with a known constant mean rate and independently of the time since the last event.
An average of 10 cars per hour are expected to arrive according to a Poisson distribution. They will be served at an average rate of 12 cars per hour, with exponential service times,
Then, the utilization rate is 83.33.
Learn more about poisson distribution here https://brainly.com/question/9123296
#SPJ4
What is the value of y in the triangle 35 POINTS
Answers
Answer: y=40
Step-by-step explanation:
because a triangle adds up to 180 degrees, and you subtract 180-15-26.5-90[the right angle]=40
Complete the statements below that show y = 8x2 32x 17 being converted to vertex form. factor out the leading coefficient. y = 8(x2 4x) 17 form a perfect-square trinomial. y = 8(x2 4x ) 17
Answers
Hence, the required algebraic expression is 8([tex]x^2[/tex]+4x+4) + 17 -32
What is an expression?expression is a combination of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.). This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)
How to solve?We were given y = 8[tex]x^2[/tex]+32x+17
To convert to vertex form, We factor out the leading coefficient which is 8.
Next, we form a perfect square by adding and subtracting 32 to get,
[tex]y=8(x^2+4x)+8(4)+17-8(4)[/tex]
We factor and combine the first two terms with a common factor of 8
This simplifies to,
8([tex]x^2[/tex]+4x+4) + 17 -32
to learn more about expressions: brainly.com/question/1859113
#SPJ4
Answer:
Answer is y = 8(x2 + 4x +
4
) + 17 +
-32
Step-by-step explanation:
Find the lateral area and total surface area of each of the following. GEOMETRY!!! HELP PLS
Answers
(a) The lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
(b) The lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.
(c) The lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.
Lateral surface area of the prism
L.S.A = Ph
where;
P is perimeter of the baseh is height of the prismh² = 17² - 8²
h² = 225
h = 15
L.S.A = (3 x 16) x 15 = 720 sq units
Total surface area of the prismT.S.A = PH + 2B
T.S.A = 720 + 2(16) = 752 sq units
Lateral surface area of the coneL.S.A = πrt
where;
t is the slant height = 17r² = 17² - 15²
r² = 64
r = 8
L.S.A = π(8)(17) = 136π sq units
Total surface area of the coneT.S.A = πrt + πr²
T.S.A = 136π sq units + π(8)²
T.S.A = 200π sq units
Lateral surface area of the cylinderL.S.A = 2πrh
where;
r is the radius of the cylinder = 11h is height of the cylinder = 11L.S.A = 2π(11 x 11) = 242π sq units
Total surface area of the cylinderT.S.A = 2πrh + 2πr² = 2πr(r + h)
T.S.A = 2π(11)(11 + 11)
T.S.A = 484π sq units.
Thus, the lateral surface area of the prism is 720 sq units and the total surface area is 752 sq units.
the lateral surface area of the cone is 136π sq units and the total surface area is 200π sq units.the lateral surface area of the cylinder is 242π sq units and the total surface area is 484π sq units.Learn more about surface area here: https://brainly.com/question/76387
#SPJ1
Every weekend me and my brother and my cousin go outside to play basketball and when i was the one who will shoot the ball to the ring i used the things i learned in math so I use SOH-CAH-TOA in measuring it. I want to measure the distance between me and the basketball ring. Supposed the height of the ring is 8ft from the ground and the distance between me and the basketball ring horizontally is 11.5 ft, and the angle of elevation from the ground is 50 degrees, now what is the distance of me and the ring?
Let x be the distance between me and the ring
need urgent answers with equation
by using SOH from SOHCAHTOA
Answers
Answer:
10 . 44 ft
Step-by-step explanation:
sin 50 = opposite leg / hypotenuse = 8 / x
8 / sin 50 = x = 10 .44 ft
Answer:
10.433cm
Step-by-step explanation:
Using SOH from TOACAHSOH,
[tex]sin50deg = \frac{opposite}{hypotenuse} [/tex]
From here we know there the opposite is 8ft (height of the ring) and hypotenuse is what we want to find, distance between you and the ring.
[tex]sin(50) = \frac{8}{x} \\ x \sin(50) = 8 \\ x = \frac{8}{ \sin(50) } \\ x = 10.443cm(rounded \: to \: 5sf)[/tex]
Which of the following functions best describes this graph?
Answers
Answer:
Option D
Step-by-step explanation:
Looking at the graph each jump is 2 units on the x-axis and y-axis :
We are looking for a quadratic with x values of 3 and 6 when y=0
Solving the last quadratic gives us :
(x-3)(x-6)=0
x = 3 , x = 6
Our answer will be Option D
Hope this helped and have a good day
Answer:
D: [tex]y=x^{2} -9x+18\\[/tex]
Step-by-step explanation:
x intercept of the curve is 3 and 6
meaning that when y=0, x is either 3 or 6
mathematically stated:
0 = (x - 3) (x - 6)
0=x(x-6)-3(x-6)
[tex]0=x^{2} -6x-3x+18\\therefore \ y=x^{2} -9x+18\\[/tex]
How many tonnes of wheat are there is in 1000 bushels if there are 39.368 bushels/tonne
Answers
Answer:
25.40134119
Step-by-step explanation:
1000/39.368
Smaller triangle L M N P is inside larger triangle L prime M prime N prime P. The length of L M is 4 and the length of M N is 6. The length of L prime M prime is 12.
Rectangle LMNP was dilated using the rule DP,3. Which statements are true? Check all that apply.
The length of line segment M'N' is 18 units.
The length of segment M'N' is 14 units.
The dilation is a reduction.
The dilation is an enlargement.
The scale factor is One-third.
The scale factor is 3.
Answers
The statement that are true about the dilation are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
What is Dilation?Given that rectangle LMNP is dilated using the rule Dp.3, it means that rectangle LMNN is enlarged times 3 to get rectangle L'M'N'P'.
This means that the scale factor is 3.
We would have the following:
M'N' = 6 × 3 = 18 units.
Therefore, the statements that are true are:
A. M'N' is 18 units.
D. The dilation is an enlargement.
F. Scale factor is 3.
Learn more about dilation on:
https://brainly.com/question/3457976
#SPJ1
Answer: A. The length of line segment M'N' is 18 units, D. The dilation is an enlargement, & F. The scale factor is 3.
Step-by-step explanation: TRUST ME!!! Answer is correct in Edge. :)
Answers: A, D & F.
Use the Law of Cosines to find the specified missing value. Approximate your answer to the nearest tenth.
If B = 150°, a = 150 ft, c = 30 ft, find b.
Answers
Work Shown:
[tex]b^2 = a^2 + c^2 - 2*a*c*\cos(B)\\\\b^2 = 150^2 + 30^2 - 2*150*30*\cos(150)\\\\b^2 \approx 31194.22863406\\\\b \approx \sqrt{31194.22863406}\\\\b \approx 176.618879608211\\\\b \approx 176.6\\\\[/tex]
Hurrry helpppp
Find the missing length for 2 of the pictures
Answers
Answer:
Step-by-step explanation:
So in this case you need to use the Pythagorean Theorem which states that: [tex]a^2+b^2=c^2[/tex] where c is the value of the hypotenuse, and a and b are the other two sides (the order in which you put them doesn't matter). So in this case I'll say a=8.4 (I could've also input it as b, doesn't matter) and c=10.5 (here it does matter, c is hypotenuse, it's not the other sides...)
So given this information we have the equation:
[tex](8.4 cm)^2 + b^2 = (10.5 cm)^2\\[/tex]
Square known values:
[tex]70.56 cm^2 + b^2 = 110.25 cm^2[/tex]
subtract 70.56 cm^2 from both sides
[tex]b^2 =39.69 cm^2[/tex]
Take the square root of both sides
[tex]b=6.3 cm[/tex]
x=6.3 cm
Problem 3: a = 9 cm, c=20 cm
Input known values
[tex](9 cm)^2 + b^2 = (20 cm)^2[/tex]
Square known values
[tex]81 cm^2 + b^2 = 400 cm^2[/tex]
Subtract 81 cm^2 from both sides
[tex]b^2 = 319cm^2[/tex]
take the square root of both sides
[tex]b\approx 17.86 cm[/tex]
so the side x is approximately 17.86 cm
90 more points to go!
Answers
Answer:
[tex](x+8)^2=y;\ x\ge -8[/tex]
Step-by-step explanation:
So the inverse is when the x and y are swapped
Original equation:
[tex]y=\sqrt{x}-8[/tex]
Swap x and y:
[tex]x=\sqrt{y}-8[/tex]
add 8 to both equations:
[tex]x+8=\sqrt{y}[/tex]
Square both sides
[tex](x+8)^2=y[/tex]
Now while this looks like a normal quadratic, it has to have the range restriction the original function had, but as it's domain restriction. So the range of the original function was y >= -8, because the smallest value you could input is 0, and the square root of that is 0, then subtract 8 and you get -8. So the domain is x >= -8
If AACB= ADCE, ZBAC = 3x-10,
ZECD = 45°, and ZEDC = 2x+10
D
C
(33
E
x= [?]
Answers
Answer: 20
Step-by-step explanation:
By CPCTC,
[tex]3x-10=2x+10\\\\x=20[/tex]
If you have 6 cars, but there is only room in your driveway for 3 cars, in how many ways can you arrange the cars in your driveway if: a. Order does not matter. b. Order of the cars matters. c. What is the probability that the three newest cars end up parked in the driveway
Answers
If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
1. If the order does not matter, combination is used
[tex]\left ({n} \atop {r}} \right.)=\frac{n!}{r!(n-r)!}[/tex]
Here, n=6 r=3
using formula,we get
[tex]\left ( {{6} \atop {3}} \right)=\frac{6!}{3!3!} =5*4=20[/tex]
2. If an order is important, Permutation will be applicable
[tex]^{n}P_{r} = \frac{n!}{(n-r)!} \\[/tex]
∴[tex]^{6} P_{3} =\frac{6!}{3!(6-3)!}=\frac{6!}{3!} =120[/tex]
3. the probability that the three newest cars end up parked in the driveway
P=[tex]\frac{No. of possible outcomes for 3 cars}{total possibilities}[/tex]
=[tex]\frac{6*4*5}{6!}[/tex]
=[tex]\frac{120}{720}[/tex]
=[tex]\frac{1}{6}[/tex] ≈ 0.167
Hence, If the order does not matter, cars can be arranged in 20 ways
If an order is important, cars can be arranged in 120 ways
The probability that the three newest cars end up parked in the driveway is 0.167
Learn more about probability here https://brainly.com/question/6077878
#SPJ4