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3 years ago

What is the mode for the following set of data? 2, 5, 7, 8, 11, 11, 12

Mathematics

1 answer:

aleksley [76]3 years ago

8 0

Mode = 11

Reason: 11 appeared twice, which is the most frequent number observed in this set of data.

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Why numbers are written as powers?

pishuonlain [190]

Answer:

Answer below

Step-by-step explanation:

Large numbers like 100 billion are cumbersome to write out in ordinary form (100,000,000,000) and so scientists use a shorthand notation called powers of ten. ... The exponent tells you how many times ten is to be multiplied by iteslf to equal the number you wish to write. For example, 100 can be written as 10x10 = 102.

Hope this helps!

3 0

2 years ago

Greatest common factor of: 12,90

Yakvenalex [24]

6 because it is the highest and goes into 12 twice and 90 15 times

6 0

2 years ago

Read 2 more answers

Find Lm=<br> Help me please thanks

Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

2 × π × r × (60° /360°) = π

r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

LO = ON = OM = MN = Radius = 3 cms

Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

LM² + MN² = (LO + ON)²

LM² + r² = (r+r)²

LM² + r² = 4r²

LM² = 3r²

LM² = 3(3²)

LM = √27 cms

LM = 3√3 cms

Hence, the length of LM is 3√3 cms.

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4 0

1 year ago

Simplify: (x - 8) (x + 8) *

padilas [110]

Step-by-step explanation:

(x - 8) (x + 8) = x² - 64

because

x² + 8x - 8x - 64

(a⁵)^-1 = 1/(a⁵)

that is the definition of a negative exponent. it means 1/...

3 0

2 years ago

Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizont

wariber [46]

The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

<h3>What is synthetic division?</h3>

In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.

The question is attached to the picture please refer to the picture.

We have a polynomial:

x³ - 3x² - 10x + 24

Which is divided by (x - 2)

We can divide using the synthetic division:

The first row: 1 -3 -10 24

The entry outside the row: 2

The missing value which is 2

k = 2

Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).

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6 0

1 year ago