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Serga [27]
3 years ago
9

Write the interval (5,100] as an inequality and using set notation

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer: { x | 5 < x ≤ 100 }  OR  { x ∈ ℝ | 5 < x ≤ 100 }

Step-by-step explanation:

{ x | 5 < x ≤ 100 }

This means:

"The set of all x's, such that x is greater than 5 and less than or equal to 100"

Another acceptable way to write this is

{ x ∈ ℝ | 5 < x ≤ 100 }

"x ∈ ℝ" simply means x is an element of all real numbers

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denis23 [38]

Answer:

21000

Step-by-step explanation:

To find estimate, round all the values to the nearest thousands

5,789 is 6000

8,356 is 8000

6,561 is 7,000

add.

6000+8000+7000

21000

3 0
3 years ago
Read 2 more answers
Which number line represents the solution set for the inequality 1x24?
coldgirl [10]

Answer:

2 should be the correct one.

3 0
3 years ago
The solution set of the inequality 2x − y &gt; 2 consists of all the points __ ? the line __ ?
GalinKa [24]

Answer:

  • b - below; y = 2x − 2

Step-by-step explanation:

  • 2x − y > 2
  • 2x - y + y - 2 > 2 + y - 2
  • 2x - 2 > y
  • y < 2x - 2

Solution is the points below the line y = 2x - 2

<u>Correct option is:</u>

  • b - below; y = 2x − 2
7 0
4 years ago
A random sample of 20 purchases showed the amounts in the table (in $). The mean is $49.57 and the standard deviation is $20.28.
son4ous [18]

Answer:

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.98}{2} = 0.01

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.01 = 0.99, so z = 2.325

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.325*\frac{20.28}{\sqrt{20}} = 12.17

The lower end of the interval is the mean subtracted by M. So it is 49.57 - 12.17 = $37.40.

The upper end of the interval is the mean added to M. So it is 49.57 + 12.17 = $61.74.

The 98​% confidence interval for the mean purchases of all​ customers is ($37.40, $61.74).

3 0
3 years ago
one leg of a right triangle has length 7. the lengths of the other two sides are whole numbers. the length of the other leg is ?
zalisa [80]
Sets of three integers that could be right triangles are called pythagorean triples. the only pythagorean triple including 7 is 7, 24, and 25. so the length of the other leg is 24 and the length of the hypotenuse is 25. hope this helped!
4 0
3 years ago
Read 2 more answers
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