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2 years ago

Find the mode of the data. 8,4,5,3,4,5,3,7,6

Mathematics

2 answers:

NISA [10]2 years ago

7 0

Mode= 4, 5, 3

this is mode for the data because To find the mode, or modal value,it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode...hope this helps

Licemer1 [7]2 years ago

5 0

Answer:

3,4,5

Step-by-step explanation:

appear mutiple times

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1. What is the slope-intercept form and what information does it give you?

Leokris [45]

The slope-intercept form is simply the way of writing the equation of a line so that the slope Often, this form is called y = mx + b
form.

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2 years ago

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Sara's telephone service costs $31 per month plus $0.25 for each local call. Long-distance calls are extra. Last month, Sara's b

serg [7]

Answer:

60 local calls

Step-by-step explanation:

Total price minus the long-distance charges: 54.35 - 8.35 = $46.00

46 minus the fixed per month cost: 46-31 = $15

15 divided by the cost of each local call: 15/0.25 = 60 calls

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2 years ago

The sum of two numbers is 136.One number is 51.What is the the other number? What are the common factors of these two numbers

SVEN [57.7K]

136-51=85. so the common factors would be 1 and 17

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2 years ago

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What is the solution of

kobusy [5.1K]

Answer:

Third option: x=0 and x=16

Step-by-step explanation:

$\sqrt{2x+4}-\sqrt{x}=2$

Isolating √(2x+4): Addind √x both sides of the equation:

$\sqrt{2x+4}-\sqrt{x}+\sqrt{x}=2+\sqrt{x}\\ \sqrt{2x+4}=2+\sqrt{x}$

Squaring both sides of the equation:

$(\sqrt{2x+4})^{2}=(2+\sqrt{x})^{2}$

Simplifying on the left side, and applying on the right side the formula:

$(a+b)^{2}=a^{2}+2ab+b^{2}; a=2, b=\sqrt{x}$

$2x+4=(2)^{2}+2(2)(\sqrt{x})+(\sqrt{x})^{2}\\ 2x+4=4+4\sqrt{x}+x$

Isolating the term with √x on the right side of the equation: Subtracting 4 and x from both sides of the equation:

$2x+4-4-x=4+4\sqrt{x}+x-4-x\\ x=4\sqrt{x}$

Squaring both sides of the equation:

$(x)^{2}=(4\sqrt{x})^{2}\\ x^{2}=(4)^{2}(\sqrt{x})^{2}\\ x^{2}=16 x$

This is a quadratic equation. Equaling to zero: Subtract 16x from both sides of the equation:

$x^{2}-16x=16x-16x\\ x^{2}-16x=0$

Factoring: Common factor x:

x (x-16)=0

Two solutions:

1) x=0

2) x-16=0

Solving for x: Adding 16 both sides of the equation:

x-16+16=0+16

x=16

Let's prove the solutions in the orignal equation:

1) x=0:

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(0)+4}-\sqrt{0}=2\\ \sqrt{0+4}-0=2\\ \sqrt{4}=2\\ 2=2$

x=0 is a solution

2) x=16

$\sqrt{2x+4}-\sqrt{x}=2\\ \sqrt{2(16)+4}-\sqrt{16}=2\\ \sqrt{32+4}-4=2\\ \sqrt{36}-4=2\\ 6-4=2\\ 2=2$

x=16 is a solution

Then the solutions are x=0 and x=16

5 0

3 years ago

A forest ranger spots a fire on a 28 foot tower,the angle of depression from the tower to the fire is 11 degrees to the nearest

aleksandrvk [35]

Solution:
use the trigonometric function which is tangent
tangent is equal to opposite/hypotenuse
the angle is 11 degrees
28 foot will be your opposite
your hypotenuse is the missing

tan(11 degrees)=28 foot/ hypotenuse
hypotenuse= [28 foot/ (tan 11 degrees)]
hypotenuse = 98.8 feet

6 0

3 years ago

Find the mode of the data. 8,4,5,3,4,5,3,7,6​

Find the mode of the data. 8,4,5,3,4,5,3,7,6