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3 years ago

How do we find the mode of a set of numbers and can there be more than one

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

Answer:There can be more than one mode

Step-by-step explanation

1. The mode is the number that occur more frequently in a given set of numbers.

2. It is true that there can be more than one mode. This is so because more than one number can occur more frequently in a given set of numbers.

For example: In the example below 2 and 3 are the modes.

1, 2, 4, 2, 3, 7, 3

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valkas [14]

Answer:

225 ft²

Steps:

(20×10)+5² = 200+25 = 225 ft²

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3 years ago

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PLEASE PLEASE HELP! Find the measure of APB^.

Whitepunk [10]

Answer:

65°

Step-by-step explanation:

Radii CA and CB are perpendicular to tangent lines AT and BT, so

$\angle CAT=\angle CBT=90^{\circ}$

Since angle BAT is equal to 65°, angle CAB has measure

$\angle CAB=90^{\circ}-65^{\circ}=25^{\circ}.$

Consider triangle ACB. This triangle is isosceles, because CA=CB as radii of the circle. Two angles adjacent to the base are congruent, thus

$\angle CBA=\angle CAB=25^{\circ}$

The sum of the measures of all interior angles in triangle is always 180°, so

$\angle CAB+\angle CBA+\angle ACB=180^{\circ}\\ \\25^{\circ}+25^{\circ}+\angle ACB=180^{\circ}\\ \\\angle ACB=130^{\circ}$

Angle ACB is central angle subtended on the minor arc AB, angle APB is inscribed angle subtended on the same minor arc AB. The measure of inscribed angle is half the measure of central angle subtended on the same arc, so

$x=\angle APB=\dfrac{1}{2}\cdot 130^{\circ}=65^{\circ}$

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3 years ago

Ronald invested $68160 for 8 years and earned 6.2% interest compounded annually

erastova [34]

Answer:

He earned 110287.3536 dollars

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3 years ago

Hector invests $20,000 at age 21. He hopes the investment will be worth $200,000 when he turns 40. If the interest compounds con

KiRa [710]

Answer:

12.12%

Step-by-step explanation:

We have that the formula is given by:

A = p * e ^ (r * t)

From here, we know that A = 200000; p = 20000 and the time we can calculate 40 - 21 = 19

if we replace we have:

200000 = 20000 * e ^ (19 * r)

we must calculate r:

e ^ (19 * r) = 200000/20000

e ^ (19 * r) = 10

19 * r = ln 10

r = ln 10/19

r = 0.1212

In other words, the rate of growth is 12.12%

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7/12 - □ = 1/6 □ = ________

xz_007 [3.2K]

The answer is 5/12 because 1/6 converts to 2/6 and 7/12-2/6 is equal to 5/12

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3 years ago