Select all statements below that are true about the box plots shown.
1) The interquartile range for the cars going North is higher than the interquartile range for the cars going South.
2) The median speed for the cars going North is higher than the median speed for the cars going South.
3) The interquartile range for the cars going South is 9.
4) The interquartile range for the cars going North is 27.
5) The maximum speed for the cars going North is higher than the maximum speed for the cars going South.
6. The lower quartile for the cars going North is lower than the lower quartile for the cars going South.
Answers
In other words, choices 2 and 4 are false while everything else is true.
==========================================================
Explanation:
The boxplot, or box-and-whisker plot, is a visual way to display a five number summary. Recall that the five items of a five number summary are:
MinQ1MedianQ3MaxThe min and max are exactly what they sound like: They're the smallest and largest values. Visually, this means they are the left and right most edges of the whiskers. This assumes that there are no outliers on either side.
The visual representation of Q1 and Q3 are the left and right edges of the box in that order. The gap between them is the IQR (interquartile range). The wider the box, the larger the IQR will be. The diagram shows the north cars have a larger IQR compared to the south ones.
Choice 1) is one of the answers since it is a true statement.
-------------------
The median is visually shown as a vertical line somewhere inside the box. It doesn't have to be at the exact midpoint of the left and right edges. We could have the median be closer to the left edge for instance, as the north cars boxplot shows.
Choice 2 is false because the diagram shows that the cars going south have a higher median speed, due to that lower vertical line being more to the right compared to the upper vertical line. In other words, the median speed of the cars going south is 64 mph while the median speed of the cars going north is 62 mph.
-------------------
Choice 3 is a bit tricky since the left edge of the blue box isn't lined up with a value on the number line. But it appears to be halfway between 58 and 60, so it seems like Q1 = 59 for the southbound cars. The value of Q3 for the southbound cars is Q3 = 68. The IQR is therefore,
IQR = Q3 - Q1 = 68-59 = 9
It's very likely that choice 3 is true
-------------------
For the northbound cars, we have
Q1 = 56
Q3 = 71 (assuming the right edge of the green box is exactly in the middle of the tickmarks of 70 and 72)
So,
IQR = Q3 - Q1 = 71 - 56 = 15
We don't get a result of 27, so choice 4 is not a true statement.
-------------------
Choice 5 is a true statement. The max speed of the northbound cars is larger than the max of the southbound cars. This is because the right tip of the north's whisker is further to the right compared to the south's corresponding whisker.
-------------------
The lower quartile is another name for "Q1" or "first quartile". So we'll be looking at the left edges of each box. The northbound cars have a smaller Q1 value because
Q1 = 56 for northbound cars
Q1 = 59 (or somewhere between 58 and 60) for southbound cars
Therefore, choice 6 is true.
Related Questions
A sample of restaurants in a city shows that the average cost of an appetizer is $6.32 with a standard deviation of
$0.47. A brand new restaurant wants to get noticed by offering appetizers for a much lower price. To determine the
lower price, should the formula use a z-value that is greater than or less than-1?
a. Greater than -1
C. Greater than 1
b. Less than -1
d. Either way, it doesn't matter
Please select the best answer from the choices provided
A
B
Answers
A school has 510 male students and 850 female students. If a student from the school is selected at random, what is the probability that the student would be a male?
- 0.5
- 1
- 0.375
- 0.625
Answers
Answer:
0.375
Step-by-step explanation:
510 male out of a total of 1360
510/1360 = 0.375
HELP ASAP DUE TOMORROW
Answers
Answer:
5) P (arrive) + P (not arrive) = 100% Complements
80% + P( not arrive) = 100% Substitute thr ralees
P ( not arraive) = 100% - 80% Isolate the needed
P ( not arrive) = 20%
therefor, the probability of not arriving on time is:-
20%, or 0.20, or 1/5
The complements of arriving on time is not arriving on time.
The probability is equal to 100%
--------------------------------
hope it helps..
have a great day!
plzzzzz help me is for mathhhh
Answers
NEED HELP PLZ
Consider the following set of equations:
Equation A: y = -x + 5
Equation B: y = 6x − 4
Which of the following is a step that can be used to find the solution to the set of equations? (4 points)
a
−x = 6x + 4
b
−x − 2 = 6x + 4
c
−x + 5 = 6x − 4
d
−x + 5 = 5x
Answers
Answer:
look at the picture i sent......
Answer:
for other guy brains
Step-by-step explanation:
The Clothes Barn is having a 65% off sale on all the dresses. Jennifer paid $43.75 for a dress that was on
sale. What was the original price of the dress?
1. $125.00
2. $28.44
3. $15.31
4. $105.00
Answers
Answer:A
Step-by-step explanation:
I used the process of elimination. I did, 125 x .65 to get 81.25. Then, I subtracted 81.25 to 125. To get 43.75.
The original price of the dress was $125.00.
What is the percentage?A percentage is a number or ratio that can be expressed as a fraction of 100 in mathematics. If we need to calculate the percentage of a number, divide it by the whole and multiply by 100. As a result, the percentage denotes a part per hundred.
How to solve this problem?Given that the discount = 65%
Sale price = $43.75
Let the original price of the dress is $x.
Now, sale price = x - x * 65% = x - x * 65/100 = (100 - 65)x/100 = 35x/100
We can write
35x/100 = 43.75
i.e. x = (43.75 * 100)/35 = 4375/35 = 125
Therefore, the original price of the dress was $125.00. So, option 1 is correct.
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A projectile is launched at a height of h feet above the ground at an angle of θ with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations
x=(v0cosθ)t and y=h+(v0sinθ)t-16t^2
Write the parametric equations to model the path of a projectile launched from ground level (h = 0) at the given values of θ and v0. Use your equations to answer the following questions.
θ=40∘ , v0=128 feet per second
Determine the maximum height
Give the time the object reaches this height (to one decimal place).
Give the approximate horizontal distance the objects is at this point (to one decimal place).
Determine the time the object will hit the ground after it is launched (to one decimal place).
Answers
Using the equation, the time the object will hit the ground after it is launched is 3.4 seconds.
To model the path of a projectile launched from ground level (h = 0), we can set h = 0 in the equation for y:
[tex]y = (v_0sin \theta)t - 16t^2[/tex]
Therefore, the parametric equations for the path of the projectile are:
[tex]x = (v_0cos\theta)t \\y = (v_0sin \theta)t - 16t^2[/tex]
Substituting θ = 40∘ and v0 = 128 feet per second, we get:
[tex]x = (128 cos 40^o)t\\y = (128 sin 40^o)t - 16t^2[/tex]
To determine the maximum height, we need to find the vertex of the parabolic path, which is given by:
t = -b/2a
where a = -16, b = 128 sin 40∘, and c = 0 (since the projectile starts and ends at ground level). Substituting the values, we get:
t = -128 sin 40∘ / (2*(-16)) = 2.3 seconds (approx)
The maximum height can be found by substituting this value of t into the equation for y:
y = (128 sin 40∘)(2.3) - 16(2.3)^2 = 230.3 feet (approx)
Therefore, the maximum height is 230.3 feet and it is reached at 2.3 seconds.
To find the horizontal distance at this point, we can substitute the value of t into the equation for x:
x = (128 cos 40∘)(2.3) = 172.8 feet (approx)
Therefore, the approximate horizontal distance the object is at this point is 172.8 feet.
To determine the time the object will hit the ground after it is launched, we need to find the time when y = 0:
[tex]0 = (128 sin 40)t - 16t^2[/tex]
Solving for t using the quadratic formula, we get:
t = 0 or t = 8 sin 40∘ / 2 = 3.4 seconds (approx)
Therefore, the time the object will hit the ground after it is launched is 3.4 seconds.
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what is 1/3 plus 4/5
Answers
You can round it and then it will be 1.13
The rounding will be that as the number after the point is not 5 or above
Answer:
1.13333333333
Step-by-step explanation:
sorry if it’s wrong!
URGENT NEED HELP FAST LINKS WILL BE REPORTED
Answers
Answer:
model B is shaded to represent 37.5%
here,
=3÷8×100%
=37.5%
a(-6) = -42 what is a?
Answers
Answer:
it is 7
Step-by-step explanation:
-3.5 + 7.75 + 6.9 (4.3)
Answers
Answer:
33.92
Step-by-step explanation:
Help !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
6
1+6
2+5
3+4
4+3
5+2
6+1
hope it helps
NEED The FULL equation. Will give Brainly. Thank you!
Answers
Answer:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
Step-by-step explanation:
we are given a function
[tex] \displaystyle \sf h(x) = \frac{2x - 6}{4 {x}^{2} + 8} [/tex]
we would like to simplify it for h(-1)
in order to do so
substitute the value of x
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { (- 1)}^{2} + 8} [/tex]
by order of PEMDAS
simplify square:
[tex] \displaystyle \sf h( - 1) = \frac{2 \cdot - 1- 6}{4 { ( 1)}^{} + 8} [/tex]
simplify multiplication:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{4 { }^{} + 8} [/tex]
simplify addition:
[tex] \displaystyle \sf h( - 1) = \frac{ - 2 - 6}{12} [/tex]
simplify subtraction:
[tex] \displaystyle \sf h( - 1) = \frac{ - 8}{12} [/tex]
reduce fraction:
[tex] \displaystyle \sf h( - 1) = - \frac{ 2}{3} [/tex]
Find the missing angle x
Then BAC
Answers
Answer:
Step-by-step explanation:
since arc BC is 2 time the angle of A , then
2(9x +12) = 21x +3
18x +24 = 21x + 3
21 = 3x
7 = x
x = 7
∠BAC = 9(7) +12
∠BAC = 63 +12
∠BAC = 75°
Write the fraction as a decimal and as a percent.
1
4
1
3
Answers
Answer:
1/4 as decimal =0.25
and as percentage 25%
1/ 3 as decimal = 0.33
and as percentage = 33.33%
100 points link down below! no off sight links please no I don't knows just a thing that state all the answers Ill give you another 50 points within the next 15 minutes if you finish it correctly and efficently.
Answers
Answer:
All of the questions?
Step-by-step explanation:
Answer:
i am not downloading this
Step-by-step explanation:
At one point during the hike, Noe is at an elevation of 453 feet. After descending at a rate of 50 feet per
minute, she reaches an elevation of 146 feet.
How long does the descent take?
Answers
Answer:
6.14 minutes or 6 minutes & 8.4 seconds
Step-by-step explanation:
Initial elevation: 453 ft
Final elevation: 146 ft
Difference in elevation: 453 ft - 146 ft = 307 ft
speed = 50 ft/min
speed = distance/time
time * speed = distance
time = distance/speed
time = (307 ft)/(50 ft/min)
time = 6.14 minutes = 6 minutes + 0.14 * 60 seconds
time = 6.14 minutes = 6 minutes + 8.4 seconds
or the figure shown on the right, find m∠3 and m∠4.
Answers
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
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Some help please! :) Branliest
Answers
Answer:
Households without a vehicle were not surveyed. D
Step-by-step explanation:
I just finished with Maps testing like 10 minutes ago XD good luck!!
According to a survey, approximately 64% of people in the United States think that the nation's water supply is safe to drink. A town has 625 people. What is the probability that 376 or more people think that the nation's water supply is safe to drink? A. 0.50 B. 0.975 C. 0.16 D. 0.84
Answers
25, 41, 49, 64Multiple ChoiceThe integers are not pairwise relatively prime since two of them have a common factor 3.The integers are pairwise relatively prime because there is no prime that divides all of them.The integers are pairwise relatively prime since two of them are prime.The integers are pairwise relatively prime because no two of them have a common prime factor.
Answers
Answer:
The integers are pairwise relatively prime since two of them are prime
Step-by-step explanation:
Given
[tex]25, 41, 49, 64[/tex]
Required
Determine if they are prime factors
First, we determine the gcd of the 4 numbers
[tex]25 = 1 * 5 * 5[/tex]
[tex]41 =1 * 41[/tex]
[tex]49 = 1 * 7 * 7[/tex]
[tex]64 = 1 * 2 * 2 * 2 * 2 * 2 * 2[/tex]
The common factor in the above computation is: 1
So:
[tex]gcd = 1[/tex]
Because the gcd is 1, this implies that no prime divides all the given numbers.
Hence, they are pairwise relatively prime
Math! Please help marking brainliest if it's correct and Explain
Answers
Answer:
D. The median, 5, is greater than the mean, 4,
Step-by-step explanation:
Median: Put them from least to greatest, ( but they are) then find the middle
Mean: Add all the numbers together= 20, divide that by the numbers you added from 5: 20/5=4
5 from median is < than mean 4
Plz like and brainly :D
Hope this helps
What is the probability of drawing 2 aces (at once) from a standard deck of cards? Leave your answer as a simplified fraction
Answers
Anwner : 4/52
Explanation : The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards. Thus, the chance of drawing an ace on each of two draws is 4/52 × 3/51, or 1/221.
Similar Triangles
When are triangles considered similar?
a. corresponding angles are equal AND corresponding sides are proportional
b. corresponding angles are proportional AND corresponding sides are equal
c. corresponding angles are equal OR corresponding sides are proportional
d. corresponding angles are proportional OR corresponding sides are equal
Please select the best answer from the choices provided
Answers
Answer:
A. Corresponding angles are equal AND corresponding sides are proportional
Step-by-step explanation:
I calculated it logically
Answer:
A. Corresponding angles are equal AND corresponding sides are proportional
Error Analysis: Kayla said the remainder of x^3+ 2x^2 -4x + 6 divided by
X+ 5 is 149. Is Kayla correct? Explain.
A) None of the above is correct.
B) No, Kayla is not correct, because the remainder is 49. not 149.
C) No, Kayla is not correct, because the remainder is - 49 rot 149.
D) Yes, Kayla is correct, because the remainder is 149.
Answers
9514 1404 393
Answer:
C) No, Kayla is not correct, because the remainder is -49 not 149
Step-by-step explanation:
The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.
Evaluation is often easier when the function is written in Horner form.
((x +2)x -4)x +6
For x=-5, this is ...
((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49
Kayla is not correct; the remainder is -49.
Select the correct answer from the drop-down menu.
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the tabl
Size
Shirt Color
Large Medium Total
Red
42
48
90
Blue
35
40
75
Total
77
88
165
From the data given in the table, we can infer that
Answers
Answer:
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = P( blue shirt)
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt ) ≠ P( red shirt)
Explanation:
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
P( Blue shirt | large shirt ) = P( blue shirt). Therefore, option B is the correct answer.
What is data table?A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure. Tables are widely used in communication, research, and data analysis.
P( red | large shirt ) = 42/77 = 0.5454 : P( large shirt)= 77/165 = 0.467
P( red | large shirt ) ≠ P( large shirt)
P( Blue | large shirt ) = 35/77 = 0.4545 : P( blue shirt)= 75/165 = 0.4545
P( Blue | large shirt ) = P( blue shirt)
P( Shirt is medium and blue ) = 40/77 = 0.2424 : P( medium shirt)= 88/165 = 0.5333
P( shirt is medium and blue ) ≠ P( medium shirt)
P( large shirt | red shirt) = 42/90 = 0.4667 : P( red shirt)= 90/165 = 0.5454
P( large shirt | red shirt ) ≠ P( red shirt)
Therefore, option B is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
A box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table. (See attached image for choices) box contains shirts in two different colors and two different sizes. The numbers of shirts of each color and size are given in the table Size Shirt Color Large Medium Total Red 42 48 90 Blue Total 35 40 75 88 165 77 From the data given in the table, we can infer that
P(red shirt | large shirt) =P(large shirt)
P(blue shirt | large shirt) = P(blue shirt)
P(shirt is medium and blue) = P(medium shirt)
P(large shirt red shirt) = P(red shirt)'
Find the value of the missing sides URGENT I NEED HELP QUICK PLSSS
Answers
Answer:
B) x=5√3 y=5
Step-by-step explanation:
It’s a 30-60-90 triangle, so
B) x=5√3 y=5
Please help will give brainliest
Small
Large
Blue 17
Red
8
3
12
?
Find: P(Red and Small)
Remember to reduce your answer.
Answers
Answer:
3/10
Step-by-step explanation:
Remark
The denominator of the probability is the entire amount present. Just add
Denominator
Blue/Large 17
Red/Large 8
Small 3
Red Small 12
Total 40
Red / Small
P(red/small) = 12 / 40
P(red/Small) = 3 / 10
help with Inscribed angles!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x = 30°
x = 80°
Step-by-step explanation:
Recall: an inscribed angle is half the measure of the intercepted arc
Thus:
x = ½(arc cb)
Substitute
x = ½(60)
x = 30°
x = ½(arc ab)
Substitute
x = ½(160)
x = 80°
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answers
Answer:
c) [tex]\frac{x-2}{x+6}[/tex]
Step-by-step explanation:
When given that function (f) is the following,
[tex]f(x)=\frac{x+2}{x^2+4x-12}[/tex]
The wisest move to first make is to factor the expression, factoring is the process by which one rewrites a quadratic expression as the product of two linear expressions,
[tex]f(x)=\frac{x+12}{(x+6)(x-2)}[/tex]
If is given that function (g) is the following,
[tex]g(x)=\frac{4x^2-16x+16}{4x+48}[/tex]
Then one should also factor the expression,
[tex]g(x)=\frac{4(x-2)^2}{4(x+12)}[/tex]
One is asked to find the following,
[tex]f(x)*g(x)[/tex]
To do this operation, one must multiply the two functions together. It is easiest to do so when the functions are in factored form,
[tex]f(x)*g(x)[/tex]
Substitute,
[tex](\frac{x+12}{(x+6)(x-2)})(\frac{4(x-2)^2}{4(x+12)})[/tex]
Simplify, cross out like terms in the numerator and denominator,
[tex]\frac{x-2}{x+6}[/tex]