An axiomatic system consists of some undefined terms (primitive terms) and a list of statements, called axioms or postulates, concerning the undefined terms. One obtains a mathematical theory by proving new statements, called theorems, using only the axioms (postulates), logic system, and previous theorems.
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Step-by-step explanation:
Question 1b.
The distribution is...
i. Reasonably symmetric
ii. Abnormal
iii. Highly Skewed
iiii. Bimodel
Answer: i) Reasonably symmetric
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Explanation:
The data set is
35,40,45,49,51,54,57,58,58,64,68,68,75,77
Erase the outer pair of values (35 and 77) to end up with this smaller set
40,45,49,51,54,57,58,58,64,68,68,75
Repeat and erase off the outer values (40 and 75) to end up with
45,49,51,54,57,58,58,64,68,68
Keep going until we have either one or two elements left
49,51,54,57,58,58,64,6851,54,57,58,58,6454,57,58,5857,58At this point, we see that the center is between these two last values. So the median is (57+58)/2 = 57.5
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The center is at 57.5
Let L = {35,40,45,49,51,54,57} consist of the set of numbers lower than the median
Let U = {58,58,64,68,68,75,77} be the upper set of values larger than the median.
The middle of set L is 49 and the middle of set U is 68. So Q1 and Q3 are 49 and 68 respectively.
From that, we see the IQR = Q3 - Q1 = 68-49 = 19
Let A and B be the lower and upper fence
We would then say
A = Q1 - 1.5*IQR = 49-1.5*19 = 20.5
B = Q3 + 1.5*IQR = 68 + 1.5*19 = 96.5
Notice how all of the given data values are between A = 20.5 and B = 96.5, which means we don't have any outliers.
Furthermore, if we plotted a box-and-whisker plot (see below), we can see that the two whiskers are fairly the same length. It's not perfect but they're reasonably symmetric. Similarly, the median is somewhat in the middle of the box itself. So this gives a rough idea that the data set we're dealing with is fairly symmetric.
More confirmation can be in the form of a histogram which is also part of the image below. This histogram is fairly symmetric as the left half is nearly (not perfectly) a mirror image of the right half, and vice versa. No one side pulls too far out to create a highly skewed distribution.
(1 p 18. Demarcus drew a pair of complementary angles. He drew one angle that had a measure of 48º. What was the measure of the other angle he drew? 42° 48° O 132° O 138°
Answer: 42
Step-by-step explanation:
Complementary angles are angles in which the sums equal 90.
90 - 48 = 42.
How do I find the x? Please and thank you!
Answer:
x = 9
Step-by-step explanation:
The two opposite interior angles that are opposite to the exterior angle are congruent as shown in the diagram.
Therefore, based on the exterior angle theorem of a triangle, we have the following equation:
2(7x + 2)° = (17x - 23)
14x + 4 = 17x - 23
Collect like terms
14x - 17x = -4 - 23
-3x = -27
Divide both sides by -3
-3x/-3 = -27/-3
x = 9
What is MA and ABC ifMB = 35° and MC equals 92°
Choose 3 values that would make this inequality true: 8 + y ≥ 11
ps help lol
7. Richard deposited $5400 and got back an amount of $6000 after 2 years.
Find Richard's interest rate.
Answer:
600
Step-by-step explanation:
Which repeated series equals 8×10⁴
8×10×4
8×10+10+10+10
8×10×10×10×10
8×4×4×4×4×4×4×4×4×4×4
Answer: 8×10×10×10×10
Step-by-step explanation: Hope this helps :)
Answer:
8×10×10×10×10
Step-by-step explanation:
this one
Have a nice day and I hope I helped you:)
What is the slope of the line in the graph?
Answer:
1 is the answer 1/1 because it goes one up and one right
Answer:
1
Step-by-step explanation:
First choose any 2 points in the line for example ( 2,3 ) ( 3,4 )
[tex]\frac{3-4}{2-3}[/tex] = 1
Aaron rolls a die 40 times. On 25 of those rolls, he has a 3. Michelle rolls a die 80 times. On 40 of those rolls, she has a 6. Which
statement is TRUE about the experimental and theoretical probabilities?
A)The theoretical probability for rolling a 3 is the same as for rolling a 6.
B)The theoretical probability for rolling a 3 is greater than for rolling a 6.
C)The experimental probability for Aaron's tries is the same as Michelle's
tries.
D)The experimental probability for Aaron's tries is less than the experimental
probability for Michelle's tries.
Answer:
Pretty sure its D lemme know if I'm right
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $90 per hour. The mechanics worked for a combined total of 25 hours, and together they charged a total of $1900. How long did each mechanic work?
Factor the following polynomials: a^2+a+72
Answer:
72 + a (1 + a)
Step-by-step explanation:
Answer pls thank you
Answer:
I got 5.19.
Step-by-step explanation:
With this number there is no way to get a perfect sqaure. When you square root it, you get a decimal. If there's an option where it says no perfect square I'd suggest putting that
I need help please will mark the brainliest
Answer:
im not smart
Step-by-step explanation:
i need points
.A town fair charges $6 for general
admission and $1.50 for each ride. Use
the pattern in the table to find the cost of 7
rides and 10 rides. Then write an equation
for the pattern.
Answer: $1.50r + $6
Step-by-step explanation:
1.50 times 7 is $10.5 without admission
1.50 times 10 is $15 without admission
(R for rides)
so $1.50r + $6 is the equation
HELP ASAP I WILL MARK BRAINLIST!!!!!
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
[tex] = > x = \frac{90}{2} [/tex]
=> x = 45°(Ans)
The Difference of 4 and k, divided by 16.
Answer:4-k÷6
Step-by-step explanation:
what fraction is 15 minutes of 1 hour explain also
Answer:
1/4
Step-by-step explanation:
15+15+15+15= 60
i hope this helps
Answer:
The answer is 1/4
Step-by-step explanation:
1 hour = 60 minutes
Therefore;
Fraction of 15 minutes with respect to 1 hour is;
15 minutes/ 1 hour
=15 minutes/60 minutes
=1/4
Therefore the answer is 1/4
Hope this helps.
The following system of inequalities shows the relationship between two numbers, where the value of x is less than the value of y,
and both numbers are integers.
Which solution is valid within the context of the situation?
Answer:
(-1,5)
Step-by-step explanation:
Pls help me with this problem. Also the answer has to be in terms of pi
3x^2+xy factorise it
Answer:
The factorized expression is [tex]x(3x + y)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3x^2 + xy[/tex]
Factorizing:
We place the common factor in evidence.
The common factor of both elements of the sum is x. So
[tex]3x^2 + xy = x(\frac{3x^2}{x} + \frac{xy}{y}) = x(3x + y)[/tex]
The factorized expression is [tex]x(3x + y)[/tex]
Mrs. Bentiez earns $3,400 every month. She spends 25% of her earnings on rent and saves 12% on food, she saves the rest of her money. How much does Mrs. Bentiez save each month?
Answer:
$2244
Step-by-step explanation:
Evaluate f(4) for the function f(x)=3x-5
A.12
B.7
C.9
D.17
the answer is b.7
Step-by-step explanation:
because you have to plug in the f(4) to the equation like this
f(4)=3(4)-5
and then multiple 3x4 which is 12 then subtract 12 and 5 and you get 7.
identify the like terms 4b, 8, 2b, 1
Answer:
4b & 2b are like terms
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: no solution
Step-by-step explanation:
They have the same slope which means they are parallel lines that will never cross or intersect. This mean that there is no solution
Please please help me I have to finish and on question 2
i need help with everything please if you help you are a legend
Answer:
you got this
Step-by-step explanation:
go with your gut and you sure can win
Answer:
I can help.
Step-by-step explanation:
3a is closer to 1, because 12/12 is 1. and 6/12 is 1/2
3b is closer to 0, because 0/6 is o. and 3/6 is 1/2.
3c is 1 and 1 1/12
11/12 + 1/6
find the common denominator. 12. 6×2 and 1×2 then add straight across.
An equilateral triangle has a side length of 10 units. What is its area?
Answer:
Hope my ans help you plz if u can mark me brainlist
Step-by-step explanation:
A = 43.3
The area of an equilateral triangle has a side length of 10 units is 43.3 square units.
What is an equilateral triangle?An equilateral triangle is one with equally long sides on both sides. The three angles opposite the three equal sides are equal in size because the three sides are equal. As a result, with each angle measuring 60 degrees, it is sometimes referred to as an equiangular triangle.
Given the side of an equilateral triangle = 10 units
the area is given by,
A = √3/4 × a²
where a is the length of the side,
A = √3/4 × 10²
A = 1.732 x 100/4
A = 43.3 square units.
Therefore, the area of a triangle is 43.3 square units.
Learn more about equilateral triangle;
https://brainly.com/question/3461022
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are 4x and 15 + x equivalent expressions? Explain your reasoning
Answer:
no.
Step-by-step explanation:
4x means 4 times any given number
15 + x means take any number and add 15.
if x = 2, 4x = 8
if x = 2, 15 + x = 17
Is tu parallel to vw? Explain.
O no, because both lines have a slope of
no, because the slopes of the lines are not equal
O yes, because both lines have a slope of 2
O yes, because the slopes of the lines are not equal
Answer: C
Step-by-step explanation:
Answer:
C. yes, because both lines have a slope of 2/3
Step-by-step explanation:
hi, if your looking for extra points (50+) and brainiest here is ur chance, answer this question correctly plz
Answer:
i will take company (a) because they are giving in less rate
Answer:
You would want to go with A
Step-by-step explanation:
If you do plan a it is 180 dollars a year when you spend 15 dollars per GB, B is cheaper on the other hand because it is 75 dollars a month so therefore 900 dollars a year
A is cheaper