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slava [35]
3 years ago
14

Consider the set {4, 5, 7, 7, 8, 8, 12, 13, 13, 15, 18, 20, 22, 24, 26, 27, 27, 37, 43}. What would be an appropriate interval t

o make a histogram with the data
A. 20
B. 10
C. 5
D. 1
Mathematics
1 answer:
adelina 88 [10]3 years ago
8 0
Proper interval would be 5
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Suppose x is a real number and epsilon > 0. Prove that (x - epsilon, x epsilon) is a neighborhood of each of its members; in
kaheart [24]

Answer:

See proof below

Step-by-step explanation:

We will use properties of inequalities during the proof.

Let y\in (x-\epsilon,x+\epsilon). then we have that x-\epsilon. Hence, it makes sense to define the positive number delta as \delta=\min\{x+\epsilon-y,y-(x-\epsilon)\} (the inequality guarantees that these numbers are positive).

Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon), and if we prove this, we are done. To prove it, let z\in (y-\delta,y+\delta), then y-\delta. First, \delta \leq y-(x-\epsilon) then -\delta \geq -y+x-\epsilon hence z>y-\delta \geq x-\epsilon

On the other hand, \delta \leq x+\epsilon-y then z hence z. Combining the inequalities, we have that  x-\epsilon, therefore (y-\delta,y+\delta)\subseteq  (x-\epsilon,x+\epsilon) as required.  

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3 years ago
$150 per hour is how much per min
SVEN [57.7K]

$2.50

Hope this helps!

May I have brainliest? :D

7 0
2 years ago
Read 2 more answers
Please help
Anna [14]

Answer:

Idon'tknowdaanswertothatquestionsorry.

Step-by-step explanation:

7 0
2 years ago
Select the table that represents a linear function.
nexus9112 [7]
The correct answer is b




a thanks and a brainliest would be appreciated :)


4 0
2 years ago
Which of the following equations represents the line that is graphed on the coordinate grid below?
tatiyna

Answer:

y = -(1/3)x + 2

Step-by-step explanation:

Keeping in mind the equation of a line: y = mx + c

Notice three discernible points on the graph: (0,2), (3,1), (6,0).

The first and last points mentioned represent the intercept on y-axis and the intercept on x-axis respectively.

Therefore, when x = 0, y = 2. And 2 = m(0) + c

c = 2

Also, when y = 0, x = 6. And 0 = 6m + 2

6m = -2. And m = -(2/6) = -(1/3)

Therefore, y = -(1/3)x + 2

8 0
3 years ago
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