Answer:
3.5
Step-by-step explanation:
add 4
6x=21
divide by 6
x=3.5
An outlier is often defined as a number that is more than 1.5 times the interquartile range below the first quartile or above the third quartile. Using the definition of an outlier and the given information, which of the following can be concluded?
A. The median is greater than the mean, and the distribution has only one outlier. The median is greater than the mean, and the distribution has only one outlier.
B. The median is greater than the mean, and the distribution has two outliers. The median is greater than the mean, and the distribution has two outliers.
C. The median is less than the mean, and the distribution has only one outlier. The median is less than the mean, and the distribution has only one outlier.
D. The median is less than the mean, and the distribution has two outliers.
Full question attached
Answer
Option A: the median is greater than the mean and the distribution has only one outlier
Explanation:
From the data median is definitely greater than mean as we can see from the data of siblings, median which is middle number is somewhere greater than the mean 3.5 from the question. Also from the definition of an oulier and given that the median is just one middle number in data, there is just one outlier in the data
three numbers that have 2, 4, and 8 as factors. What other factors do these numbers have in common?
Hello Can someone help me please???
What is the factored form of 5x2 – 19x + 12?
A.) (5x – 3)(x – 4)
B.) (5x – 4)(x – 3)
C.) (5x – 12)(x – 1)
D.) (5x – 1)(x – 12)
Answer:
pretty sure its B
Step-by-step explanation:
hope this helps ;)
On average, Starla drinks 5/6
of a 12 ounce glass of water in 1/3
of an hour.
How much water does she drink in an hour?
O 10 ounces
12 ounces
20 ounces
30 ounces
Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2
Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
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Liam earns $7.00 an hour shoveling snow. What is the relationship between the number of hours and the amount he earns?
okay that's alll guess
A ramp that is used to load a truck makes supplementary angles with the ground. The ramp has an incline (<1) of 28. What is the measure of <2?
Answer:
Step-by-step explanation:
two angles are said to be supplementary if their sum is 180 degrees
Hence <1 + <2 = 180
Given
<1 = 28
Required
<2
Substitute into the formula
28+<2 =180
<2 = 180-28
<2= 152
Hence the measure of <2 is 152 degrees
If the equation were 6x + 2 = 5x + 17, would there be one unique solution? What is it, and what would it mean in terms of the situation?
Answer:
15
Step-by-step explanation:
6x +2 =5x +17
6x - 5x =17 - 2
x =15
unique solution
lines of best fit (regression lines) must touch all dada points on a scatter plot
true or false
Answer:
False
Step-by-step explanation:
A regression line tries to average out all data points, so it may not touch any of them.
Given:
p: student achieves 90 percent on the geometry final.
q: student will receive a passing grade in geometry class.
Which statement is logically equivalent to q - p?
If a student achieves 90 percent on the geometry final, then the student will pass geometry class.
If a student passes geometry class, then the student achieved 90 percent on the geometry final.
If a student did not achieve 90 percent on the geometry final, then the student did not pass geometry class.
Olfa student did not pass geometry class, then the student did not achieve 90 percent on the geometry final.
Answer:
c
Step-by-step explanation:
Ms. Ramirez is throwing a fundraising event to
raise money for new chromebooks for GWCP.
Ms. Ramirez is charging $35 an an entrance fee
and then additionally guest can buy raffle tickets
for prizes. Ms. Colsant comes to the event,
purchases 4 raffle tickets and spends a total of
$62. How much is Ms. Ramirez charging for raffle
tickets at the event?
Students, write your response!
Pear Deck interest
Divide. -4 1/3 divided by 2 3/5
Add.
0.125 + 0.25 + 0.33
Answer:
0.705
Step-by-step explanation:
Answer: the answer is .705
Step-by-step explanation:
the numbers 0.25 and 0.33 are technically 0.250 and 0.330
so just line them up and add. 0.250+0.125+0.330=0.705
This graph shows the solution to which inequality?
(3,-1)
(-3,-3)
Answer:
its c. y>1/3x-2
Step-by-step explanation:
Just took the quiz
If a room has 28 people in it, how many people Are in a room 14 times it’s size?
Answer:
392
Step-by-step explanation:
times 28 by 14 and youll get 392 - may i get brainliest :)
Answer:
392 people would be in the room
Step-by-step explanation:
you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together 112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392
Find the measure of angle b
Answer:
40 degrees
Step-by-step explanation:
180-140=40
Answer:
40° that's the answer hope I helped
A sample of employees of Worldwide Enterprises is to be surveyed about a new health
care plan. The employees are classified as follows:
Classification Event Number of Employees
Supervisors A 120
Maintenance B 50
Production C 1,460
Management D 302
Secretarial E 68
(a) What is the probability that the first person selected is:
(i) either in maintenance or a secretary?
(ii) not in management?
(c) Are the events in part (a)(i) complementary or mutually exclusive or both
Using the probability concept, it is found that:
a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.
b) The events are neither complementary nor mutually exclusive.
A probability is the number of desired outcomes divided by the number of total outcomes.
Item a:
In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.
Of those, 50 + 68 = 118 are either in maintenance or a secretary, hence:[tex]p = \frac{118}{2000} = 0.059[/tex]
There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.
Item ii:
2000 - 302 = 1698 people are not in management, hence:
[tex]p = \frac{1698}{2000} = 0.849[/tex]
There is a 0.849 = 84.9% probability that the first person selected is not in management.
Item b:
If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.
To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717
Following are the solution to the given points:
For point a:
i)
[tex]\to P(B \cup E) = P(B) + P(E) - P( B\cap E)[/tex]
Where [tex]P(B \cap E) = 0[/tex] because they are both separate occasions It is impossible to be a member of both departments.
[tex]\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\[/tex]
[tex]=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\[/tex]
ii)
[tex]\to P(D^c) = 1 - P(D)[/tex]
[tex]=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\[/tex]
For point b:
Please find the attached file.
For point c:
Events in a. I are mutually incompatible since [tex]P(B \cap E) = 0[/tex]. One would be a part of the both departments.
Learn more:
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Daniel has to carry 32 boxes to his room. He can
carry 4 boxes on each trip. How many trips will
Daniel take? Show your work?
Daniel will take 8 trips.
What is division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication.
Now it is given that,
Number of boxes = 32
Number of boxes can be carried in each trip = 4
So, Number of trips = Number of boxes / Number of boxes can be carried in each trip
⇒ Number of trips = 32/4
⇒ Number of trips = 8
this is the required number of trips Daniel will take.
Thus, Daniel will take 8 trips.
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a store sells jump rope. Each jump rope cots the sa
You haven't finished the question.
You need to finish the question before it can be answered.
Consider the following data on x = weight (pounds) and y = price ($) for 10 road-racing bikes.
Brand Weight Price ($)
A 17.8 2,100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Required:
Use the F test to determine whether the weight for a bike and the price are related at the 0.05 level.
Answer:
There is a significant relation between weight and price
Step-by-step explanation:
Brand Weight(x) Price ($) (y)
A 17.8 2100
B 16.1 6,250
C 14.9 8,370
D 15.9 6,200
E 17.2 4,000
F 13.1 8,500
G 16.2 6,000
H 17.1 2,580
I 17.6 3,500
J 14.1 8,000
Null Hypothesis : [tex]H_0: \mu =0[/tex]
Alternate Hypothesis : [tex]H_a: \mu \neq 0[/tex]
Given : SST=51956800 SSE= 7312286.84 n = 10
SSR = SST-SSE
SSR=51956800-7312286.84
SSR=44644513.16
Level of significance =[tex]\alpha = 0.05[/tex]
[tex]F=\frac{\frac{SSR}{m}}{\frac{SSE}{n-k}}[/tex]
Where m = no. of restrictions
k = No. of independent variables
[tex]F=\frac{\frac{44644513.16}{1}}{\frac{ 7312286.84}{10-2}}[/tex]
F=48.843
Degree of freedom 1 = 1
Degree of freedom 2 = 10-2=8
Using calculator
p-value is .000114.
p value < α
So, we reject the null hypothesis .
Hence There is a significant relation between weight and price
Hey I have a question for y’all, what helps build preseverance in your opinion ?
Answer:ummm......
Step-by-step explanation:
what ur questions I don't get it
Help? Please? This is algebra math
Answer:
You count the blocks and then put the amount of blocks before:)
(That sounds confusing but it sounds harder than it is)
The answer would be 3xy + 4x
Step-by-step explanation:
How many xy blocks are there? yea there's 3 so you do 3xy
you can't add xy and x blocks together because xy is a different unit than x (xy is x times y) so then you'd count the other x blocks seperately
(I'm sorry if I'm wrong on this lol)
Online concerts tickets cost 37$ each, plus a service charge of 8.50$ per ticket. The web site also charges a transaction fee of 14.99$ for the purchase. You paid 242.49$. How many tickets did you buy?
Answer:
5 tickets
Step-by-step explanation:
45.50t + 14.99 = 242.49
-14.99 -14.99
45.50t = 227.5
t = 5
John's sister is twice his age. In 5 years the sum of their ages will be 31. How old are John and his sister now? Briefly explain how you arrived at your answer.
Like usual, we can solve this question using an equation. Let’s assume that John’s age is x, and his sister’s age is y.
x = 2y
To figure out John’s age, we need to know his sister’s age. He’s 2 times older than his sister.
x + y = 27
The sum of their ages is 27, and we can substitute the value of x here to figure out y.
2y + y = 27
We can now simplify this, and get y by itself.
3y = 27
Now, we can divide by 3 to get the y by itself.
y = 9
We now know that John’s sister is 9.
Now, using our original equation, we can substitute in the value of y.
x = 2(9)
We can simplify this.
x = 18
John’s age is 18!
Hope this helps.
Currently, Trevon is three times as old as Janice. In four years, the sum of their ages will be 48. If Janice's
current age is represented by n, which of the following equations could be used to correctly solve for n?
Answer:
n+3n+4=48
Step-by-step explanation:
write an equation for the line Below
Answer:
y=-1/2x
Step-by-step explanation:
Answer:
y=-1/2x
Step-by-step explanation:
shown in graph
HELP!!!!!
answer asap! this is due in two hours!!
Answer:
it is 56
Step-by-step explanation:
there are 4 sides and they are all 10 and if you add them they are 40 and if you do the bottom it is 16 and 40 + 16 is 56 hope it helps
If a mother is 20 years old when her baby is born how old will she be when she is twice as old as her child
Answer:
40.
Step-by-step explanation:
What is the capital of peru
Answer:
☆<《HOPE IT WILL HELP YOU 》>☆
Step-by-step explanation:
capital of Peru is Lima
Michael is renting a bicycle for $12 per hour. How many cents per minute?
Answer:
0.20
Step-by-step explanation: