First, how many ways are there for the 1st poster?
It can be the first, the 2nd, the 3rd, the 4th, or the 5th.
How many ways are there for the 2nd poster?
there are 4 ways, because one of them is occupied by the first poster
There are 3 ways for the 3rd poster, 2 ways for the 4th poster and 1 way for the 5th poster.
Multiply the number of ways together : 120 ways
These are the ways we can arrange the 5 posters ↓
\(\boxed{\\\begin{minipage}{2 cm}poster~1 \\ \\ \end{minipage}}\) \(\boxed{\\\begin{minipage}{2cm}poster~2 \\ \\ \end{minipage}}\) \(\boxed{\\\begin{minipage}{2cm}poster~3 \\ \\ \end{minipage}}\) \(\boxed{\\\begin{minipage}{2cm}poster~4 \\ \\ \end{minipage}}\) \(\boxed{\\\begin{minipage}{2cm}poster~5 \\ \\ \end{minipage}}\)
We could replace P1 (Poster 1) with any of the 4 posters here, and do the same thing with the other posters...
Overall, believe it or not, there are 120 ways to arrange these 5 posters.
A quick way to calculate this is
5!=5*4*3*2*1
120
Number of ways ↓120
hope helpful ~
There are 120 different ways the posters can be arranged in a row
How many different ways can the posters be arranged in a row?from the question, we have the following parameters that can be used in our computation:
Number of posters = 5
This means that
n = 5
The different ways the posters can be arranged in a row is calculated as
Ways = n!
So, we have
Ways = 5!
Expand
Ways = 5 * 4 *3 * 2 * 1
Evaluate
Ways = 120
Hence, the number of ways is 120
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How can we find that when a system of two equations, two unknowns has Infinite Solutions. I want a solution with matrix. I know this method (which is not with matrix):
Step-by-step explanation:
To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.
In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.
The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour?
Answer:
B) -3 (Sorry if its overwhelming)
Explanation:
First, we have the given information of the weather over a 2 and 1/5 span
And we are asked to find the change per hour
We can first start by finding the change for 2 and 1/5 hours:
- Subtract the first amount by the second amount.
= (-6 3/5) - 0
= (-6 3/5) + 0
= -6 3/5
Now that we have the change for 2 and 1/5 hours we must find the change per hour:
- Divide the given dividend by the given divisor
= -6 3/5 ÷ 2 1/5
= -3
Hence, the temperature change per hour over a 2 1/5 hour span is -3° per hour
The temperature change per hour over a 2 1/5 hour span is -3° per hour.
What is a formula for Fahrenheit?The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;
°F = (9/5 × °C) + 32.
We can first start by finding the change for 2 and 1/5 hours:
Subtract the first amount by the second amount:
= (-6 3/5) - 0
= (-6 3/5) + 0
= -6 3/5
Divide the given dividend;
= -6 3/5 ÷ 2 1/5
= -3
Hence, the temperature change per hour over a 2 1/5 hour span is -3° per hour.
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ZOO ATTENDANCE
4. Once a year, the zoo hosts Grandparents' Day, where only senior citizens are allowed in the zoo. This
year, the zoo sold $768 worth of tickets on Grandparents' Day. How many visitors did the zoo have
that day?
The zoo had 85 visitors on Grandparents' Day.
How many visitors attended Grandparents' Day?To get the number of visitors that visited in the year, we have to divide the total amount of money earned from ticket sales by the cost of each ticket.
Given that:
Total ticket sales = $768
Cost of each ticket = $9
Number of visitors = Total ticket sales / Cost of each ticket
Number of visitors = $768 / $9
Number of visitors = 85.3333333
Number of visitors = 85.33.
Full question:
Once a year, the zoo hosts Grandparents' Day, where only senior citizens are allowed in the zoo. This year, the zoo sold $768 worth of tickets on Grandparents' Day. How many visitors did the zoo have that day? Assume the ticket cost $9 per person.
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A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 0 to 5 minutes. If it takes the elevator 30 seconds to go from floor to floor, find the probability that a hurried customer can reach the first floor in less than 1.25 minutes after pushing the elevator button on the second floor.
The correct probability is 0.6875
A manager of an apartment store reports that the time of a customer on the second floor must wait for the elevator has a uniform distribution ranging from 0 to 5 minutes. The elevator 30 seconds to go from floor to floor,
It is given that waiting time is uniformly distributed from 0 to 5.
It is given that it takes 30 seconds to go from floor to floor.
Convert 30 seconds into minutes: : 30/60 = 0.5. min
Time to reach first floor is uniformly distributed:
∪(0+0.50, 5 + 0.50)
∪(0.50,5.50)
We need to determine the probability that a hurried customer can reach the first floor in less than 1.25 minutes after pushing the elevator button on the second floor."
So we need to find P(Y < 1.25).
\(P(Y < 1.25)\frac{1.25 - 0.50}{5.50-0.50} = \frac{0.75}{5} =0.15\)
Therefore, the required probability is 0.15.
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Find the non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equals quantity x plus 3
The non-extraneous solutions of the square root of the quantity x plus 7 minus 4 equal quantity x plus 3 is: x = -7 and x =-6.
How do we find the non-extraneous solutions?
The non-extraneous solution can be found with this calculation:
\(\sqrt{x} + 7 - 4 = x + 3\\\\\sqrt{x} + 7 = x + 7\\\\\)
Now, we will square both sides:
\((x + 7) = (x + 7)^{2} \\\\(x + 7) = (x+7) (x+7)\\\\x + 7 = x^{2} + 14x + 49\\\\x = x^{2} + 13x + 42\\\\0 = (x + 7) (x+6)\\\)
Thus, we have; x = -7 and x = -6
Note that we collected like terms from the figures on the left-hand-side to the figures on the right-hand side. When the lowest common multiple betwen 14 and 42 was checked, figures 7 and 6 were gotten.
When we plug figure x into both equations, we get the same figures and this confirms the solution.
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Loren entered the triple jump and the hurdles.
She has a 65% chance of winning the triple jump and an 80% chance of winning the hurdles.
What is the probability that she will win at least one of the events?
Answer:
93%
Step-by-step explanation:
80% = 0.8
65% = 0.65
probability of losing triple jump: 1 - 0.8 = 0.2
probability of losing hurdles: 1 - 0.65 = 0.35
probability of losing both: 0.2 x 0.35 = 0.07
probability of winning at least one: 1 - 0.07 = 0.93 = 93%
Jessie runs 8 yards every 2 seconds. How many feet does Jessie run in 10 seconds?
Answer:
40 yard
Step-by-step explanation:
Answer:
120 feet
Step-by-step explanation:
8 yards in 2 seconds.
so we need to change the unit of yards into feet bcz all units should be same
now 1 yard=3 feet therefore 8 yards=24 feet
if he runs in 2 seconds =24 feet
he runs in 1 second =24/2 feet=12 feet
he runs in 10 seconds=12*10=120 feet
hope it will help.
Im stuck on this question, how do I find the uneven areas? Each unit is 1 sq unit. Please help! I am so worn out by this question!
Answer:
5.5 sq units
Step-by-step explanation:
Find the square around the red shape and subtract out the white parts.
Square = 4x4 = 16
Triangles subtracted -
1x1/2
1x1/2
3x4/2
3x1/2
Total subtracted = -8.5
Squares subtracted
1x1
1x1
Total subtracted = -2
16 - 10.5 = 5.5
In a mathematics test,Ayo scored 3marks less than Mohammed,who in turns scored 5marks less than Ahmed.If the total marks scored by the three boys is not less than 250.Find the minimum whole mark obtained by mohammed
Assume the three students will receive a minimum of 250 points overall. Ahmed received x + 5 points and Ayo received x - 3 points, respectively, if Mohammed received x points.
The marks Mohammed received are represented by the variable x, and we use this number to determine the marks Ahmed and Ayo received.
The formula for the three boys' combined marks is: x + (x + 5) + (x - 3) = 250.
Expanding and figuring out x
3x + 2 = 250
3x = 248
x = 82
Therefore, Mohammed received at least 82 points, Ahmed received 87 points, and Ayo received 79 points. If the final score is precisely 250, they might have obtained these minimal marks.
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(-2,5) and (5,-4)
What will be the slope of the line passing through these points?
Use the data in exercise 5.43 for this problem. Note: Your answers to each of these questions should not be the same.
a.) Find the probability that a randomly selected person did not have a child under 18 years old, given that they said no.
b.) Find the probability that a randomly selected person said No, given that the person did not have a child under 18 years old.
c.) Find the probability that a randomly selected person from the group did not have a child under 18 years old and said no.
Using probability,
a) 61/100
b) 61/210
c) 305/536
Define probability?The probability formula can be used to calculate the likelihood of an event by simply dividing the favourable number of possibilities by the total number of options.
The likelihood of an event occurring can range from 0 to 1, as there can never be more favourable outcomes than there are potential outcomes. Because of this, the percentage of effective outcomes cannot be 0.
Here in the question,
It has asked to find probability that a randomly selected person did not have a child under 18 years old, given that they said no is:
P = 305/500
= 61/100
It is asked to find probability that a randomly selected person said No, given that the person did not have a child under 18 years old is:
P = 305/1050
= 61/210
It is asked to find probability that a randomly selected person from the group did not have a child under 18 years old and said no is:
P = 305/536
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What is F(x)=4x-3()4^2?
Answer:f − 1 ( x ) = x/ 4+3/4
Step-by-step explanation:
this is an answer not a question btw if u have this same question
4 2/3 divided by 1/2 = 9 1/3
is abc =def ? if so name the congruence postulate that applies
We can see that the congruency of the triangle can be under ASA
What is congruency under ASA?
If two triangles meet the ASA (Angle-Side-Angle) condition, they are congruent. Two triangles must satisfy the conditions listed below in order to be congruent under ASA:
Angles in two different triangles are equal to each other by a factor of two.
The side that lies between the two equal angles of one triangle, known as the included side, also appears in the other triangle.
Thus the triangles that have been shown in the image are congruent under ASA.
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8x-4(x-3)-3(2x+5)-6
Answer:
8x - 4x + 12 - 6x - 15 - 6
Combine like terms
-2x - 9
If your equation is equal to zero then continue down.
-2x - 9 = 0
-2x = 9
x = -9/2
= -4 1/2
A line has ____ rotational symmetry
A. Four-fold
B. Six-fold
C. Seven-fold
D. Two-fold
Answer:
D-two -fold
Step-by-step explanation:
Can someone please help me!
would the sample size be large enough if the population is school-aged children and young adults in the united states? explain in 2-3 sentences.
Yes, the sample size would be large enough if the population is school-aged children and young adults in the United States as this is a simple random sampling.
Simple random sampling is used for randomly selecting the sample size for research. No member in the population has a higher chance in comparison to others for selection in sampling. Every individual has an equal chance to be a part of the sample for the study. This is a type of probability sampling method.
The probability sampling method states that every individual has a fair and equal chance to be selected as a research sample. It includes simple random sampling, stratified sampling, systematic sampling, and cluster sampling. Here the researchers have picked around 150 students and young adults which is an appropriate amount of simple random sample for the study.
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What is the volume of a cylinder, in cubic feet, with a height of 7 feet and a base diameter of 18 feet? Round to the nearest tenths place
Answer: 1,781.3
Step-by-step explanation:
h = 7
d = 18
r = 9
V = h x π x r^2
V =7 x π x r^2 = 1781.28
Rounded = 1781.3
In a _______ test, the null hypothesis should be rejected when the test value is in either of the two critical regionsYes, because the test valde 3.40 TAM No, because the test value-198 falls in the noncritical region. e Yes, because the test value-3.46 falls in the noncritical region. No, because the test value-1.98 falls in the critical region. DQuestion 10 10 pts In a(n) test, the null hypothesis should be rejected when the test value is in either of the two critical regions. right-tailed left-tailed no-tailed two-tailed
In a two-tailed test, the null hypothesis should be rejected when the test value is in either of the two critical regions.
What is a two-tailed test?
A two-tailed test is a statistical test that involves a null hypothesis and an alternative hypothesis. It is also known as a two-sided test. A two-tailed test occurs when the null hypothesis states that there is no significant difference between the population means or variances, while the alternative hypothesis states that there is a significant difference between the two populations.
A two-tailed test has two critical regions, one in the right tail and one in the left tail.
When the test statistic falls into one of these regions, the null hypothesis is rejected. If the test statistic falls in the non-critical region, the null hypothesis is accepted. Therefore, the answer to the question is: Yes, because the test value -3.46 falls in the noncritical region.
A two-tailed test is a statistical hypothesis test in which the alternative hypothesis can take one of two possible forms. Specifically, in a two-tailed test, the alternative hypothesis states that the true value of a population parameter is not equal to a hypothesized value, but does not specify whether it is greater than or less than that value. Instead, it allows for the possibility that the true value could be either higher or lower than the hypothesized value, and therefore examines the statistical significance of deviations in both directions.
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I need help with this story problem it very confusing can explain this step by step instructions so I understand. Huh, low battery again?! Samantha had just charged her phone up to 76%, and now it was already down to 16%. She had only streamed... oh... oops...three whole episodes of The Haunted Cave this morning (each episode is exactly thirty minutes). That afternoon, after having her phone plugged in for the past hour, she hopped on a bus to meet her friend Jorge at zoo. During the 24-minute ride, she listened to her favorite playlist, Top Pop, noticing her charge had only dropped from 63% to 59%. Not bad!At the edge of the monkey habitat, Samantha pulled out her phone to snap a photo. Suddenly, the monkeys started doing amazing flips and tricks. It was as if they were creating a distraction... "Wait! No!" One of those crafty monkeys swiped her phone right out of her hand! The other monkeys gathered around, guffawing, as the first monkey begin tapping the screen.When Samantha finally got her phone back, the monkey had drained the battery all the way to 31%, boo!On the bus home, Samantha turned on Top Pop to calm herself. " Too bad your battery's at 29% now. I'm still at 55%," Jorge said, while watching The Haunted Cave. Samantha eyed their phones thoughtfully.If Jorge's phone battery drains at the same rate as Samantha's, and they continue playing their current media, how many minutes will it be before the two phones have the same battery level?
When Samantha was streaming "The Haunted Cave" the cellphone went from a level of battery charge of 76% to 16%. We need to calculate the rate at which the battery of the phone is drained while streaming this show. She watched three episodes of the show, each with 30 minutes. So the first step is to calculate the time she spent streaming it. Since she watched 3 episodes of 30 minutes each, the total time is the product between the number of episodes and the elapsed time.
\(\text{time}_{\text{haunted}}=3\cdot30=90\text{ minutes}\)Then we need to calculate how much of the battery was spent on that time. This is the difference between the charge when she started and the charge when she finished.
\(\text{charge}_{\text{dif}}=76-16=60\text{ \%}\)Now we can calculate the rate at which her battery is drained while watching that show, this is done by dividing the total battery spent by the elapsed time.
\(\text{rate}_{\text{haunted}}=\frac{60}{90}=\frac{2}{3}\text{ \% per minute}\)This rate means that for every minute watching this show she spends 2/3 of a % of battery.
She then charged the battery to 63% and went on a 24 minute bus ride while listening to Top Pop, this resulted on her battery dropping all the way to 59%. We need to do the same as above to find how much batter per minute this playlist consumes. We have:
\(\text{charge}_{\text{dif}}=63-59=4\text{ \%}\)The playlist spent 4% in 24 minutes, so the rate is:
\(\text{rate}_{\text{playtop}}=\frac{4}{24}=\frac{1}{6}\text{ \% per minute}\)While listening to Top Pop the cellphone discharges at a rate of 1/6 of a % per minute.
When she was on the bus home with her friend her battery was at a level of 29%, while his was at 55%. He then went to watch the haunted show, while she went to listen Play Top. If the rate is the same as we calculated above, then the level of battery of each person can be calculated by the starting level subtracted by the rate at which each app consumes the battery multiplied by the time they are using the app. So for each person we have:
\(\begin{gathered} \text{samantha}=29-\frac{1}{6}\cdot t \\ \text{jorge}=55-\frac{2}{3}\cdot t \end{gathered}\)To find the time it will take before the level of battery is the same on each device we need to make both equations equal and solve for t.
\(\begin{gathered} 29-\frac{1}{6}\cdot t=55-\frac{2}{3}\cdot t \\ \frac{2}{3}t-\frac{1}{6}t=55-29 \\ \frac{2\cdot2t-t}{6}=26 \\ \frac{4t-t}{6}=26 \\ \frac{3t}{6}=26 \\ \frac{t}{3}=26 \\ t=26\cdot3=78\text{ minutes} \end{gathered}\)For both phones to achieve the same level of battery they'll need to use it for 78 minutes.
Coach Burns charted the change in his runners’ 5K times from the first race of the year to the second race of the year. Which student improved the most by decreasing the time needed to run the race? PLEASE HELP IM ON A EXAM!!!
Answer:
student a
Step-by-step explanation:
i just took the exam
12.
At Break Time Bakery, donuts are 75¢ each and drinks cost $1.50 each. Which equation best represents y, total cost of purchasing x number of donuts and a drink?
A.) y = 2x + 2.25
B.)y = 1.50x + .75
C.)y = 75x +1.50
D.)y = .50x + .75
Answer:
100% Sure its b
Step-by-step explanation:
Answer:
B.)y = 1.50x + .75
Step-by-step explanation:
Anyone know how to do??
Answer:
x = 1
Step-by-step explanation:
...................
Answer:
1
Step-by-step explanation:
Step 1:
3x + 11 = 5x + 9 Sum of a line
Step 2:
11 = 2x + 9 Subtract 3x on both sides
Step 3:
2 = 2x Subtract 9 on both sides
Answer:
x = 1 Divide
Hope This Helps :)
ABCD is a trapezium with AB parallel to CD. Find the value of x and the value of y.
Answer:
x = 107 , y = 60
Step-by-step explanation:
Each lower base angle is supplementary to the upper base angle on the same side, then
x + 73 = 180 ( subtract 73 from both sides )
x = 107
and
y + 2y = 180
3y = 180 ( divide both sides by 3 )
y = 60
LMNO id a parallelogram. If NM =x +30 and OL=4x +9, find the value of X NM AND OL
Therefore , the solution of the given problem of parallelograms comes out to be NM and OL both equal 37.
What is parallelograms?
In Euclidean mathematics, a parallelogram is actually a simple hexagon with two distinct groups and equal distances. A specific kind of quadrilateral called a parallelogram is formed when both sets of sides equally share a horizontal path. Parallelograms come in four different varieties, three of which are mutually exclusive.
Here,
Since LMNO is a parallelogram, we know that the lengths of the opposing sides are identical. Therefore, we can equalize the NM and OL formulas, then solve for x:
=> OL = 4x + 9 and
=> NM = x + 30
=> OL = x + 30
=> 4x + 9 = NM
=> 3x = 21
=> x = 7
We have thus established that x = 7. In order to discover the values for NM and OL, we can put this value back into the expressions for those variables:
=> NM = x + 30 = 7 + 30 = 37
=> OL = 4x + 9 = 4(7) + 9 = 37
As a result, NM and OL both equal 37.
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kinda need this and my brain wont work today
Each set of three numbers represents the lengths, in units, of the sides of a triangle. Which set can not be used to make a triangle?
A: 7, 6, 14
B: 4,4,4
C: 6, 6, 2
D: 7, 8, 13
Answer:
A. 7,6,14
Step-by-step explanation:
Rules for side lengths of triangle.
1. Any side should be less then the sum of the other two angles.
2. The same side should be greater than the subtraction of the other side lengths(bigger side - smaller side)
A.
7 < 6+14 . Correct
7> 14-6 . Incorrect
This cannot be a solution (impossible)
B.
4<4+4 . Correct
4>4-4 . correct
This is a solution (equilateral triangle)
C.
6<6+2 . Correct
6>6-2 . Correct
This is a solution (isosceles triangle)
D.
7<8+13 . Correct
7>13-8 . Correct
This is a solution (scalene triangle)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The equation represented by the table
Answer:
A. y= -3x - 1
that's the answer of you substitute the figures in x into where x can be located in A
Please help will mark you brainliest
Graph the equation
Answer:
The maximum point should be at (-1,6), the y-intercept should be at (0, 5.625), and the x-intercept should be at (-5,0). You call plot the maximum point and y-intercept or the maximum point and x-intercept.
Step-by-step explanation: