Both the median and the range changed, the correct option is A.
What is the median?Median, in statistics, is the middle value of the given list of data, when arranged in an order.
The data set that contains the outlier is given as:
4, 14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the data is: 4
The median or middle quartile i.e. [tex]\rm Q_2[/tex] is the central tendency of the data and exists in the middle of the data.
The median is: 16
Also, the lower set of data is:
4,14,15,15,16
The lower quartile i.e. [tex]\rm Q_1[/tex] is the median of the lower set of data.
The lower quartile i.e. [tex]\rm Q_1[/tex] = 15
Similarly, the upper set of data is:
18, 19, 20, 20, 21
the upper quartile i.e. [tex]\rm Q_3[/tex] is the median of the upper set of data.
upper quartile i.e. [tex]\rm Q_3[/tex] = 20
Also, the interquartile range is:
[tex]\rm Q_3-Q_1=20-15=5[/tex]
The maximum value of the set is 21.
Range = Maximum value-Minimum value =21 - 4 = 17
As we know that 4 is the outlier of the data as it is the smallest as compared to all the data points.
After removing the outlier the data set is:
14, 15, 15, 16, 16, 18, 19, 20, 20, 21
The minimum value of the set =14
The maximum value of set =21
Range = Maximum value-Minimum value =21-14 = 7
Hence, Both the median and the range changed.
To know more about median and range click the link given below.
https://brainly.com/question/9045470
Violet owns a small business selling clothing. She
knows that in the last week 53 customers paid
cash, 3 customers used a debit card, and 2
a
customers used a credit card.
Based on these results, express the probability
that the next customer will pay with cash or a
credit card as a decimal to the nearest
hundredth.
Answer:
0.95
Step-by-step explanation:
The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To find the probability that the next customer will pay with cash or a credit card, we need to add the number of customers who paid with cash and the number of customers who paid with a credit card, then divide this sum by the total number of customers:
Number of customers who paid with cash or credit card.
= 53 + 2
= 55
Total number of customers
= 53 + 3 + 2
= 58
,
The probability that the next customer will pay with cash or a credit card is:
= 55/58
= 0.95 (rounded to the nearest hundredth)
Thus,
The probability that the next customer will pay with cash or a credit card is approximately 0.95 or 95%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Malik deposits $4200 in an account that pays 3. 1% interest compounded weekly. What will be the value of the account in 5 years? Round to the nearest cent
hmmm now this is assuming is 3.1% per year, with a compounding period per week, now there are 52 weeks in a year.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4200\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &5 \end{cases}[/tex]
[tex]A=4200\left(1+\frac{0.031}{52}\right)^{52\cdot 5}\implies A=4200\left( \frac{52031}{52000} \right)^{260}\implies A\approx 52775.70[/tex]
Jonny has 19 bottles or dish soap and jeff takes 20 bottles of dish soap he gives 67 back how much dish soap Jonny have
Answer:
66
Step-by-step explanation:
Two-step
Find the solution set of the inequality
14 - 3x < -1.
Answer:
x > 5 should be your solution to the inequality.
Step-by-step explanation:
Your inequality: 14 - 3x < -1
You need to do two-step inequalities which are similar to two-step equations but different since you're using an inequality symbol as opposed to an equal sign.
Steps:
14 - 3x < -1
Subtract 14 from both sides
-3x < -1-14
Solve -1-14
That should be -15
-3x < -15
**You have to switch the inequality due to multiplying negatives rule.
While dealing with inequalities, when multiplying negatives the inequality sign should switch to its opposite.
-3x > -15
x > 5
5 is lesser than x
hope it really helps...!!!
Use the bar graph to find the relative frequency of the event.
Answer: Its 7 Hope im Right!
Step-by-step explanation:
Answer:
the answer for this question is 7
Step-by-step explanation:
do the math
I need some help, please and thank you. :).
Answer:
right top one
Step-by-step explanation: just separate the formula
What is the perimeter of the figure?
15 cm
9 cm
centimeters
Answer:
48
Step-by-step explanation:
you just multiply both numbers by two and then add
Mrs. Williamson is projecting a slide on the wall. The image on the slide is 1.25 inches by 1.5 inches. The image projected on the wall is 20 inches by 24 inches. What is the scale factor of the dilation?
Answer:
Scale factor is 1:16
Step-by-step explanation:
1.25 x 16 = 20
1.5 x 16 = 24
The image on the wall is 16 times bigger than the image on the slide,
that is why the ratio is 1:16
i’m confused on how to do this can u help me
Answer:
i think the first one
Step-by-step explanation:
so to do this, you first have to look at what the x means and what the y means
the x means the time
the y means the speed
now we check the graph, from the points (1, 112) and (7, 16) does x decrease? yes it does
so we can cross out all the "increase x "choices, you could choose the answer now, but lets undertstand
when x decreases y also decreases. you can know because when x is 1 y is 112 but when x is 2, y is 96
Please help! Will mark brainlyest.
Answer:
I think c
Step-by-step explanation:
7.
Charlie and Dasha are roommates, and
they have a dog. If neither of them is
home, they hire someone to watch the
dog. Charlie must go on business trips
every 6 months, while Dasha must go on
business trips every 9 months. If they
both just got back from business trips,
how many months will it be before they
need to hire someone to look after the
dog again?
Explain your answer.
Answer:
they wont need to hire someone for nine months.
Charlie will be gone in 6 months, while Dash has 3 more months after til she leaves.
Answer: 18 months
Step-by-step explanation:
If both of them aren't at home, then they hire someone to look after the dog. However, if Charlie is on a trip and Dasha isn't, they don't. So they would need to be at business trips at the same time and that means they will hire someone to look after the dog. So we find the LCM of 6 and 9 which is 18 months.
forgot how to do dis
i need help with this and explain if you can
and i already tried the answers 18.85 and 28.27
so i don't know what the answer is HElp me
Answer: Please check the picture attached
Step-by-step explanation:
Maya has 28 apples, 12 oranges, and 8 mangos. She wants to put an equal number of each kind of fruit into baskets so all the baskets will be the same. How many of each kind of fruit CAN MAYA FIND IN EACH BASKET
A. 4
B. 1, 2 or 4
C. 1 or 4
D. 1, 3, 4, 6, or 8
Answer:
4
Step-by-step explanation:
We need to find the greatest common factor aka (GCF)
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 8: 1, 2, 4, 8
The factor that they all have is 4 so 4 is our answer :)
Have an amazing day!!
Please rate and mark brainliest!!!
The volume of the oblique prism is __ mm3. Assume the bases are a rectangular. Hint: Use Cavalieri’s Principle.
Which shows a perfect square trinomial? 50 y squared minus 4 x squared 100 minus 36 x squared y squared 16 x squared 24 x y 9 y squared 49 x squared minus 70 x y 10 y squared
The perfect square trinomial will be 16x² + 24xy + 9y². Expression 3 is correct. Ax + By + Cz are trinomials.
What are trinomials?A mathematical expression with three terms or three monomials is called a trinomial. Polynomials having only three terms are known as trinomials.
The third expression seems to be the perfect square let's check it.
[tex]\rm 16x^2 + 24xy + 9y^2 \\\\ (4x)^2+ (2 \times 4x + 3y) + (3y)^2 \\\\ (4x + 3y)^2[/tex]
Hence the expression 3 is the perfect square.
To learn more about the trinomials refer to the link;
https://brainly.in/question/8498839
If area of cross section of a prism is A cm² and height h cm then find the volume
Answer:
Volume= area of cross section*height
so, volume of prism = A*h
A total of 60 tickets were sold for an concert and earn the organizers $540. If the cost of each ticket is either $6 or $10, how many tickets of each type were sold?
Answer:
$6 tickets: 16; $10 tickets: 45
Step-by-step explanation:
We need a system of equations to find the number of each type of ticket sold.
Thus, we have [tex]x+y=60[/tex], where x = the number of $6 tickets and y = the number of $10 tickets
We also have [tex]6x+10y=540[/tex]
We can use the elimination method to find y:
[tex]x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15[/tex]
Number 9 need help mathhh
Using the volume formula, we will see that the volume of the sphere is V = 381.51 cm^3
How to get the volume of the sphere?
For a sphere of radius R, the volume is given by the formula:
[tex]V = (\frac{4}{3})*3.14*R^3[/tex]
In this case, we can see that the diameter is 9 cm, then the radius is half of that:
R = 9cm/2 = 4.5cm
Now that we know the radius, we can replace it on the volume formula to get:
[tex]V = (\frac{4}{3})*3.14*(4.5cm)^3 = 381.51 cm^3[/tex]
If you want to learn more about spheres, you can read:
https://brainly.com/question/10171109
A bag contains hair ribbons for a spirit rally. The bag contains 4 black ribbons and 5 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that Lila selects a green ribbon and Jessica selects a black ribbon? Express your answer as a fraction in simplest form.
Answer:
3/15 x 12/14 = 36/210 = 6/35
Step-by-step explanation:
3 + 12 = 15
3/15 = black
12/15 = green
the probability Lila selects the black ribbon first is 12/15
Lila has taken one away so the total now decreases by one to 14
There are 3/14 black ribbons now, and hence the probability that Jessica takes one is 3/14.
Then you just multiply the two together:
3/15 x 12/14 = 36/210 = 6/35
So as a result, The simplified answer is 6/35
1:4
2:4
2:8
Equivalent ratios
Answer:
Equivalent ratios of 1:4 include 2:8, 3:12, 4:16, 5:20, etc. Equivalent ratios of 2:4 include 4:8, 6:12, 8:16, 10:20, etc. Equivalent ratios for 2:8 are 4:16, 6:24, 6:32, and 8:40.
Step-by-step explanation:
Hope this answered ur question, unless you mean if the numbers are equivalent ratios which they arent
Answer: 1:4 is equivalent to 2:8 not but equivalent to 2:4
Step-by-step explanation: To create equivalent ratios of a given ratio, simply multiply the two figures by the same number. 2:8 is a two time multiple of 1:4
For which of the following would not expect to pay an excise tax? a. alchoholic beverages b. firearms c. gasoline d. groceries please select the best answer from the choices provided a b c d
The best choice for given would not expect to pay an excise tax is,the groceries is not expected to pay an excise tax.
Here we have to determine best choice for the given options would not expect to pay an excise tax.
First we have to know that excise tax
Therefore we have,
What is excise tax?Excise taxes are taxes that are imposed on various goods, services and activities.
This is because excise taxes are commonly levied on enterprises or goods that are deemed useless or even harmful, such as cigarettes.
Thus, the tax acts as a restraint to people acquiring these goods or services.
Clearly, groceries are important for endurance and are not worthless or dangerous.
Therefore, the groceries is not expected to pay an excise tax.
To learn more about the tax visit:
https://brainly.com/question/25783927
pls help me I need the answer with how u did it pls
Answer:
∠1, ∠3, ∠5 and ∠7 = 126°
∠2, ∠4, ∠6 and ∠8 = 54°
Step-by-step explanation:
∠3 + ∠4 = 180°
If ∠3 = 126°, ∠4 = 54°
The same applies for ∠1 and ∠2, ∠5 and ∠6, ∠7 and ∠8 respectively.
Therefore,
∠1 = 126°,
∠3 = 126°,
∠5 = 126°, and
∠7 = 126°
∠2 = 54°,
∠4 = 54°,
∠6 = 54°, and
∠8 = 54°
A , B , C , D ??????????????????????
Answer:
a
Step-by-step explanation:
if this is wrong im sorry
If the volume of a prism is 30m3 and it’s height is 5m what is the area of the base
Answer:
6[tex]m^{2}[/tex]
Step-by-step explanation:
Any prism volume is V = BH where B is area of base and H is height of prism,
B = 1/2 h(b1+b2) since B is the area of the base
[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula
which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base
Which equation represents a line of that has a slope of 4 and passes throufh the point 0,-1
Answer:
y=4x-1
Step-by-step explanation:
1. Create an equation to for b (y-intercept)
y=4x+b
2. Plug in the x and y values from the point (0,-1)
-1=4(0)+b
3. Solve for b
-1 = b
All together the final equation is y=4x-1
Veronica is buying 6 ham sandwiches and 3 cheese sandwiches. Each sandwich
costs $4. The equation below can be used to find Veronica's total cost.
Veronica says all the sandwiches will cost more than $30. Use the drop-down
menus to explain if her statement is reasonable.
4×6+3=0
Answer: 36
Step-by-step explanation: 6 + 3 = 9.
4 * 9 = 36
Veronica's statement is reasonable because they cost more than $30.
The total amount of sandwiches is $36
Calculations and Parameters:Given that:
She buys 1 sandwich for $4
She buys 6 ham sandwiches and 3 cheese sandwiches
To find the total cost for Veronica would be:
6+3 = 9 total sandwiches
4 * 9= 36 total cost of the sandwiches.
Therefore, Veronica's statement is reasonable because they cost more than $30
Read more about total costs here:
https://brainly.com/question/25109150
#SPJ2
HELP WHAT IS THE ANSWER TO THISS
6. Nobu was a part of a cookie eating contest. The company hosting the event made 805 cookies. In the first 15 minutes, the contestants ate 388 cookies. | How many cookies are left at this Songs i point? At this rate, about how long it will take the contestants : to eat all of the cookies?
At that point, there would be 417 cookies left. At that rate it would take about 31 minutes.
Find the twenty-fourth term of the arithmetic sequence whose eighteenth term is 42, and whose twenty-fifth term is 56.
Answer:
54
Step-by-step explanation:
Given
a₁₈ = 42a₂₅ = 56Solving
a₁₈ = a + 17d = 42 (1)a₂₅ = a + 24d = 56 (2)(2) - (1)a + 24d - a - 17d = 56 - 427d = 14d = 2a = 56 - 24(2) = 56 - 48a = 8Finding a₂₄
a₂₄ = a + 23d8 + 23(2)8 + 4654What is equivalent to 4 times the sum of 3 and x
Answer:
[tex]\huge\boxed{\bf\: 4 (x + 3) \: and \: 4x + 12 }[/tex]
Step-by-step explanation:
Let the variable be 'x'.
Sum of 3 and x = x + 34 times the sum of 3 and x = 4 (x + 3)Expression : 4 (x + 3)
On expanding ,
4 (x + 3)
= (4*x) + (4*3)
= 4x + 12 ⟶ equivalent expression to the statement .
[tex]\rule{150pt}{2pt}[/tex]