Answer:
The correct option is;
The data for suitcase 1 have an outlier but the data for suitcase 2 does not
Step-by-step explanation:
Range of a box plot
Interquartile range (IQR) for bot suitcases we have
Here we have for suitcase 1
IQR = Q₃ - Q₁ = 12 - 8 = 4
For suitcase 2
IQR = Q₃ - Q₁ = 18 - 5 = 13
Lower outlier = Q₁ - 1.5×IQR
Higher outlier = Q₃ + 1.5×IQR
For suitcase 1 we have;
Lower outlier = 8 - 1.5×4 = 2 (No lower outlier)
Higher outlier = 12 + 1.5×4 = 18
Hence, whereby the whiskers range from 4 to 30, suitcase 1 has a higher outlier
For suitcase 2 we have;
Lower outlier = 5 - 1.5×13 = -14.5 (No lower outlier)
Higher outlier = 18 + 1.5×13 = 37.5
Hence, whereby the whiskers range from 2 to 20, suitcase 2 has no outlier.
Therefore, the correct option is the data for suitcase 1 have an outlier but the data for suitcase 2 does not.
Answer:A
Step-by-step explanation:
took the test
The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid.
a. ( 48 + 48[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
b. ( 48 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
c. ( 48 + 30[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
d. ( 24 + 15[tex]\pi[/tex] ) [tex]cm^{2}[/tex]
Answer:
100πcm².None of the options is correctStep-by-step explanation:
Total surface area of a cone [tex]S[/tex] = [tex]\pi r^{2}+\pi rl\\[/tex]
Since the diagram is half of a cone, its surface area will be [tex]S = \frac{\pi r^{2} +\pi rl}{2}[/tex]
r = radius of the cone
l = slant height
From the diagram diameter of the cone = 16m;
r = 16/2 = 8m
l = 17m
[tex]S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}[/tex]
Which pair of triangles is congruent?
Answer:
The first pair.
Step-by-step explanation:
3 corresponding parts must be congruent for two triangles to be congruent. The first pair has 3 congruence markings; two angles and one side are congruent. Additionally, they are congruent by the ASA postulate because two angles and the included side are congruent.
What is the value of this expression 14−3? 164 112 12 64
Answer:
11
Step-by-step explanation:
14-3 = 11
you have 14 apples and you eat 3 of them. wow! now you have 11 apples!
A Car is moving on a straight road with velocity 30m/s and is speeding up at constant rate and reaches a velocity of 90m/s. What is the average velocity of the journey? PLZZZ ANSWER
Answer:
60m/s
Step-by-step explanation:
velocity of the while moving is 30 m/s and it becomes 90 m/s after speeding up at constant rate. so the average velocity of the journey is
[90+30] /2
=60 m/s
w(x) = 2x^3+ 3x; Find w(3)
Answer:
63
Step-by-step explanation:
w(x) = 2x³ + 3x
Put x as 3.
w(3) = 2(3)³ + 3(3)
Solve for the power.
w(3) = 2(27) + 3(3)
Multiply the terms.
w(3) = 54 + 9
Add both the terms.
w(3) = 63
Answer:
63I hope it helps :)
Step-by-step explanation:
[tex]w(x) = 2x^3+ 3x\\w(3)\\w(3) = 2(3)^3 +3(3)\\w(3) = 2(27) +9\\w(3) = 54+9\\w(3) =63[/tex]
ABCΔ is an isosceles triangle in which AB=AC=17m and BC=16m . Find the area
Answer: 136 sq. m.
Step-by-step explanation:
Area = (base x height ) / 2
= (17x16)/2
= 272/2 = 136
How much interest is earned on a principal of $4.62 invested at an interest rate of 7% for two years
Solution,
Principal (P)=$4.62
Rate(R)=7%
Time(T)=2 years
Interest (I)=?
Now,
Interest=P*T*R/100
= 4.62*7*2/100
=64.68/100
=$0.6468
Hope it helps
Good luck on your assignment
Answer:
$0.6468Step-by-step explanation:
[tex]principal(p) = 4.62 \\ rate(r) = 7 \\ time(t) = 2[/tex]
[tex]simple \: \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4.62 \times 7 \times 2}{100} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 0.6468 \\ [/tex]
Hope this helpsbrainliest appreciatedgood luck! have a nice day!Simplify (5+1)²-(11+3²)÷4
Answer:
-13
Step-by-step explanation:
(5+1)²-(11+3²)÷4
(6)-14^2 divided by 4
36-14^2/4
13-196/4
13-49
-13
Answer & Step-by-step explanation:
(5 + 1)² - (11 + 3²) ÷ 4
Following the rules of order of operation, the first thing we have to do is the operations in the parentheses ().
(6)² - (11 + 3²) ÷ 4
Next, solve for your exponents.
36 - (11 + 9) ÷ 4
Next, do the operations in the parentheses ().
36 - (20) ÷ 4
Now, divide -20 by 4.
36 - 5
Subtract 5 from 36.
31
So, your final answer to this equation is 31.
what number times itself to be 49
Step-by-step explanation:
x × x = 49 there are two values for x
1) 7 because 7 × 7 = 49
2) -7 because -7 × -7 = 49 the square value for negative numbers is positive.
Giardo is using the model below to solve the equation 3×+1 = 4×+(-4) which step could be adjusted so that Gerardo final step results in a positive x value
Answer:
The answer is B. In step one he should have added 3 negative x-tiles to both sides.
See attachment for complete question.
Answer:
The correct option is B.
In step one he should have added 3 negative x-tiles to both sides.
Step-by-step explanation:
Given the equation
3x + 1 = 4x + (-4)
Adding 3 negative x tiles, we have
3x + 1 + (-3x) = 4x + (-4) + (-3x)
1 = x - 4
x = 1 + 4 = 5
Dan invests £1000 into his bank account. He receives 10% per year simple interest. How much will Dan have after 2 years? Give your answer to the nearest penny where appropriate.
Answer:
1200
Step-by-step explanation:
i=prt is the interest equation however we must find the total because it says After 2 years
first lets do 1000*.1*2=200
1000+200=
1200
Melissa and Jane are planting trees. Melissa plants 10 trees in 1 hour. Jane plants 17 tree in 2 hours.
Enter an equation that can be used to find the number of hours t, takes Melissa and jane to plant 111 trees together
Answer:
6 hours
Step-by-step explanation:
Let both of them plan for t hours to plant 111 trees n t hours
Melissa can plants 10 trees in 1 hour
in t hours she can plant 10 t trees
Jane plants 17 tree in 2 hours
in one hour Jane can plant 17/2 trees
in t hours she can plant (17/2)t trees.
Total trees planted by both of them in t hours in terms of t will be
10t + (17/2)t
= (10t*2 + 17t)/2
= (20t + 17t)/2
= 37t/2
but it is given that they planted 111 trees together
so 37t/2 should be equal to 111
37t/2 = 111
=> 37t = 111*2 = 222
=> t = 222/37 = 6.
Thus, it takes 6 hours for both of them to plant 111 trees together.
find the coordinates of H' after a reflection across the parallel lines; first across y = -2 and then across y = 2. Answer in form (a,b). Part 7a
Answer: H' = (-4, 4)
Step-by-step explanation:
H = (-4, -4)
reflect across y = -2:
H is 2 units below y = -2 so when reflected it will be 2 units above y = -2
--> the x-coordinate doesn't change the new y-coordinate is: 0
H' = (-4, 0)
reflect across y = 2:
H' is 2 units below y = 2 so when reflected it will be 2 units above y = 2
--> the x-coordinate doesn't change the new y-coordinate is: 4
H'' = (-4, 4)
What is the inverse of f(x) =1/3x +3
Answer:
I think that the answer is C
Answer: D. h(x) = 3x - 6
Step-by-step explanation:
edge2021
A plumber used 2.895 m of pipe during a job. How much pipe did he use rounded to 1 decimal place?
Answer to the question:
2.9m
A photograph that measures 16 cm by 10 cm is to be framed. The frame has the same width on all sides. (Call this length x. ) The picture and frame combined will have an area that is twice as big as the area of the photo alone. Determine the width of the fame.
Answer: W= 40cm
Step-by-step explanation:
16*10
A=160
160/4
=40
Answer: w=40
Step-by-step explanation:
QUESTION 5 of 10: You are considering selling your home. You consult with an agent who gives you the asking prices of five homes (comps)
in your area: $165,000, $188,000, $175,000, $150,000 and $400,000. The $400,000 is an outlier so you will not include it in your evaluation. In
determining a reasonable asking price, what is the mean of the four remaining comps?
a) $188,000
b) $215,000
Oc) $169,500
d) $175,000
Answer: $169,500
Step-by-step explanation:
The mean simply means the average price of a set of a numbers that are given. For one t calculate the mean, one has to add the numbers that are given and then divide them by the amount of numbers.
I'm the case above, the numbers given are $165,000, $188,000, $175,000, and $150,000.
Mean = ($165,000 ,+ $188,000 +$175,000 + $150,000) ÷ 4
= $678,000/4
= $169,500
Answer:
c) $169,500
Step-by-step explanation:
I just took the quiz.
b) The ratio of boys to girls in a school is 12:25. If there are 120 boys.
(i) how many girls are in the school?
(ii) what is the total number of boys and girls in the school?
Answer:
250 girls in the school and 370 students all total
Step-by-step explanation:
250 girls are in the school and 390 total students in the school.
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
The ratio of boys to girls in a school is 12:25
Let, No. of boys in the school = 12x
No. of girls in the school = 25x
Total students in the school = 12x+25x = 39x
Given, there are 120 boys
So, 12x = 120
x = 10
No. of girls in the school = 25x = 25(10)
No. of girls in the school = 250
Total students in the school = 39x = 39(10)
Total students in the school = 390
Hence, 250 girls are in the school and 390 total students in the school.
Learn more about Ratio
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find the value of root 121 + 3 over root 125
The value of the given expression √121 + ∛125 would be 16 which is determined by the square root and cube root properties.
What is Prime Factorization?Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.
The expression below which is given in the question
⇒ √121 + ∛125
Here 11×11 = 121 and 5×5×5 = 125
⇒ √(11×11) + ∛(5×5×5)
By the square root and cube root properties to get
⇒ 11 + 5
Apply the addition operation,
⇒ 16
Thus, the value of the given expression √121 + ∛125 would be 16.
Learn more about Prime Factorization here:
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someone help meh plzz
Answer:
1) 229 Teens
2) (12,-2)
What is the equation of a line with a slope of 8 and a y-intercept of 6
Answer:
y=8x+6
Step-by-step explanation:
m=slope
c=y-intercept
y=mx+c
y=8x+6
Answer:
y=8x+6
Step-by-step explanation:
A triangle has two sides with the lengths 8m and 15 m. Which of the following lengths could represent the length of the third side? Choose all that apply. 1. 23m 2. 4m 3. 10m 4. 14m 5. 7m
Answer:
3. 10m
4. 14m
Step-by-step explanation:
Angle inequality rule: A triangle can only form if it's 2 shortest sides add up to have MORE length than it's longer side.
1. 23 m
2. 4m
3. 10m
4. 14m
5. 7m
1 doesn't follow the angle inequality rule.
2 doesn't follow the angle inequality rule.
3 can be the third side.
4 can be the third side
5 doesn't follow the angle inequality rule.
Plot a point on the coordinate plane to represent each of the ratio values
Answer:
Is the time in the graph drawn?
Step-by-step explanation:
plz help!
solve for p
Answer:
[tex] \boxed{p = 4} [/tex]
Step-by-step explanation:
[tex] = > {p}^{2} = 16 \\ \\ = > {p}^{ \cancel{2}} = {4}^{ \cancel{2}} \\ \\ = > p = 4 \\ \\ \\ OR \\ \\ \\ = > {p}^{2} = 16 \\ \\ = > {p}^{2} = {4}^{2} \\ \\ = > p = \sqrt{ {4}^{2} } \\ \\ = > p = {4}^{ \cancel{2} \times \frac{1}{ \cancel{2}} } \\ \\ = > p = 4 [/tex]
Using the given equation, we know that the square root of p = 16.
Because of this, we also know that the square root of 16 will equal p.
[tex]\sqrt{16} = 4[/tex]
Therefore, p is equal to 4, or p = [tex]\sqrt{16}[/tex].
Hope this helped! :)
Put these fraction in order of size smallest to largest : 7/10, 2/3, 4/5, 11/15
Answer:
2/3, 7/10, 11/15 and 4/5
Step-by-step explanation:
2/3=0.66
7/10=0.7
11/15=0.73
4/5=0.8
2 X + 3 = X + 1. find the value of x
Step-by-step explanation:
2x + 3 = x + 1
x + 3 = 1
x = -2
Answer:
x= -2
Step-by-step explanation:
2x+3=x+1
-3 -3
------------------
2x = x - 2
-x -x
----------------
x= - 2
PLEASE PLEASE HELP!! WHAT EXACTLY SHOULD I TYPE DOWN IN THE BOX?
The area of a triangle is 1/2 x base x height.
The base is 2 , the height is 4.
Area = 1/2 x 2 x 4 = 4 square cm.
The area of a square is s^2
S is the length of a side, which is 2
Area = 2^2 = 4 square cm
Both shapes have an area of 4 square cm
Answer: 4.5.
Step-by-step explanation for the triangle:
A = 1/2 ⋅ b ⋅ h A = 1/2 ⋅ 3 ⋅ 3 A= 4.5
OR
Step-by-step explanation for the square:
A = a^2 = 2^2 = 4 = 4.5
Please someone solve this, this is my third time reposting this question so yea please be quick
Answer:
Step-by-step explanation:
to calculate mean add all the entries in a week ,then divide by 7(the number of days)
i give you hint
mean for week 1=(52+65+... +60)/7
A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school's
student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum
number of students that can attend each meeting?
Answer:
Including the princpal and two counselors, only 40 students will be able to attend each meeting.
If the principal and two counselors dont attend, then 41 students can attend with one of their parents.
PLEASE PLEASE HELP ME I NEED HELP IM CONFUSED!!!!
( show the work MANDATORY)
WRITE EACH FRACTION AS A DECIMAL. USE A BAR TO SHOW REPEATING DECIMAL.
1.) 7/10
2.) 1/4
3.)-3/10
4.)1/8
5.) 7/30
6.) 7/11
7.)-3/5
Answer:
1. 0.7
2. 0.25
3. -0.3
4. 0.125
5. 0.23
6. 0.64
7. -0.6
Step-by-step explanation:
First divided those fractions, then you got those repeating decimals.
Answer:
1.) 0.7
2.) 0.25
3.) -0.3
4.)0.125
5.)0.233 (bar on top of threes)
6.)0.63 (bar on top of 6 and 3)
7.)-0.6
Step-by-step explanation:
1.) 7 divided by 10
2.)1 divided by 4
3.) -3 divided by 10
4.)1 divided by 8
5.)7 divided by 30
6.)7 divided by 11
7.)-3 divided by 5
