Answer:
The intervals on the y-axis are inconsistent.
Step-by-step explanation:
The x- and y-axes start at 0 - this is what graphs normally start with - it is out of the norm to not start at 0.
The intervals on the y-axis are inconsistent - this can cause a problem - we humans tend to judge a graph on height, so changing some of the intervals can mess up a human's actions based on the graph,for example people might think more positively or negatively of a brand or company, and even a totally different view.
The intervals on the y and x-axis are different - they can be different for particular reasons, for example a company might want to put time intervals in months on the x-axis and revenue in dollars on the y-axis - sometimes it is just necessary.
Differing heights are used on a bar graph - this allows us to compare data - without it we would not be able to do much with it.
A property from geometry states that rectangles have congruent opposite sides. Thus, no matter which diagonal Reggie cuts, it still has the same lengths. Since it's a rectangle and we cut from corner to corner, we create a right triangle. See the picture below:
<u>___________12 inches_______</u>
7 |
i |
n |
Because it's a rectangle, it won't matter which corner we cut. But if we fold at the cut lines, we would make an in the rectangle's center.
The cut line and two sides make a right triangle. One leg is 12, one leg is 7, and we need to find the third side. The Pythagorean Theorem - sum of the squares of the legs equals the square of the hypotenuse - is applied.
Let S = the length of the side from corner to corner
S² = 12² + 7²
S² = 144 + 49
S² = 193
S = √193 or -√193
Because we are dealing with lengths, we only want positive numbers. -√193 is not used. Thus S = √193
S = √193 = 13.8924439894
S = 18.92 (rounded to two places)
Thus, Reggie will cut 18.92 inches of paper.
Using proportions, it is found that the amount of the novel she would have read is:
D. 14/15.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
She has finished 5/6 of the novel, and will have read more 1/10 in the next two days, hence the total amount read is given by:

Hence option D is correct.
More can be learned about proportions at brainly.com/question/24372153
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N = 20, the number of questions
p = 1/5 = 0.2, the probability of making a correct guess
q = 1 - p = 0.8, the probability of making an incorrect guess.
Expected success = 60% or 6 of 10.
From the binomial distribution,
P(6 of 10) = ₁₀C₆ p⁶q⁴
= 210*0.2⁶*0.8⁴ = 0.0055
Answer: 0.0055
Answer:
x = 29 1/3 degrees
Step-by-step explanation:
A triangle has 3 angle that total 180 degrees.
The three angles given are 82 degrees ,2x+10 degrees and x degrees.
So,
82+ (2x+10) + x = 180
Combine like terms.
92 + 3x = 180
Subtract 92 from each side
3x = 180 -92
3x = 88
divide each side by 3
3x/3 = 88/3
Change 88/ 3 to a mixed number
3 goes in to 88 29 times with 1 left over.
x = 29 1/3 degrees