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Mazyrski [523]
3 years ago
9

Between which pair of consecutive integers does √111 lie

Mathematics
2 answers:
lisabon 2012 [21]3 years ago
7 0
B. 10 and 11
This is because 10x10 is 100, so thats less than what you need and then 11x11 is 121, and that is more than you need... So it would be between 10 and 11.
natulia [17]3 years ago
5 0

Answer:

The given lie between 10 and 11

B is correct

Step-by-step explanation:

We need to find pair of number in which \sqrt{111} lie between them.

Let given number lie between two integer x and y

Thus,

x

Taking square both sides

x^2

As we assumed x and y are integers.

We will choose two number across 111 those are perfect square.

100

10^2

Taking square root all sides

10

Hence, The given lie between 10 and 11.

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Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, a
Vitek1552 [10]

Answer:

Image 1

Step-by-step explanation:

To answer this question, we need to know how to use a box plot.

I've attached an image that demonstrates this well and can teach you what each part of the box plot means.

Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.

With this, we can analyze each box plot and determine which one is correct.

<em><u>Box Plot 1: </u></em><em>Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.</em>

<u>Box Plot 2:</u> Everything plotted correctly EXCEPT maximum of 48 is represented at 46.

<u>Box Plot 3:</u> Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.

<u>Box Plot 4:</u> Upper quartile represented at 39 and maximum represented at 46 are both incorrect.

4 0
3 years ago
How many sides does a regular polygon have if each of its interior angles measures 174°
Tasya [4]

Answer:

60 sides

Step-by-step explanation:

3 0
3 years ago
the arithmetic sequence ai is defined by the formula: a1 = -53 ai = ai-1 + 6 find the sum of the first 880 terms in the sequence
maxonik [38]

Answer:

The sum of the first 880 terms in the sequence is 2,273,920.

Step-by-step explanation:

Arithmetic sequence:

The difference between consecutive terms is always the same, called common difference, and the nth term is given by:

a_{n} = a_0 + (n-1)d

In which d is the common difference.

Sum of the first n terms:

The sum of the first n terms of an arithmetic sequence is given by:

S_{n} = \frac{n(a_1+a_n)}{2}

ai = ai-1 + 6

This means that d = 6

In this question:

Sum of the first 800 terms, so n = 800

First term is -53, so a_1 = -53

The 880th term is:

a_{880} = -53 + (880-1)*6 = 5221

Sum

S_{n} = \frac{880(-53+5221)}{2} = 440(-53+5221) = 2273920

The sum of the first 880 terms in the sequence is 2,273,920.

4 0
3 years ago
Factor the expression below
Mazyrski [523]

Answer:

(2x² + 5x + 2) = (2x + 1)(x +2)

Step-by-step explanation:

Given expression is (2x² + 5x + 2).

We have to factorize the given expression.

(2x²+ 5x + 2) = 2x² + 4x + x + 2

                     = 2x(x + 2) + 1(x + 2)

                     = (2x + 1)(x + 2)

So the factored form of the given expression will be (2x + 1)(x + 2).

6 0
3 years ago
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puteri [66]

Answer:

Red

Step-by-step explanation:

You may have forgotten to add another pic.

4 0
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