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allochka39001 [22]
3 years ago
9

What does the mode represent in a set of numbers?

Mathematics
2 answers:
BartSMP [9]3 years ago
4 0

Answer:

The number which appears most often in a set of numbers.

zavuch27 [327]3 years ago
3 0

Answer:

The mode is a number that appears the most in a data set

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(\tan ^(2)\theta \cos ^(2)\theta -1)/(1+\cos (2\theta ))=
Vitek1552 [10]

(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))

Recall that

tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>)

so cos²(<em>θ</em>) cancels with the cos²(<em>θ</em>) in the tan²(<em>θ</em>) term:

(sin²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>))

Recall the double angle identity for cosine,

cos(2<em>θ</em>) = 2 cos²(<em>θ</em>) - 1

so the 1 in the denominator also vanishes:

(sin²(<em>θ</em>) - 1) / (2 cos²(<em>θ</em>))

Recall the Pythagorean identity,

cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1

which means

sin²(<em>θ</em>) - 1 = -cos²(<em>θ</em>):

-cos²(<em>θ</em>) / (2 cos²(<em>θ</em>))

Cancel the cos²(<em>θ</em>) terms to end up with

(tan²(<em>θ</em>) cos²(<em>θ</em>) - 1) / (1 + cos(2<em>θ</em>)) = -1/2

7 0
2 years ago
PLEASE CAN SOMEBODY HELP PLEASE I AM BEGGING YOU PLEASE
rusak2 [61]
(3,-1)? i believe that's what it would be
5 0
3 years ago
Read 2 more answers
Ann has 30% less money than Mary, and Jessica has 70% more than Mary. If the 3 of them have a (added up) total of $102, how much
Roman55 [17]
Let x be the amount of Ann money, y be Jessica's money and z Mary money. 
30% of z equates 0.3*z. 
Ann has 30% less than z so: x = z - 0.3z = 0.7z.
70% of z equates 0.7z. 
"Jessica has 70% more than Mary " we deduce the equation: y =z+0.7z= 1.7z.
Signe the total is $102, we deduce the equation x+y+z = 102. 
x=0.7z and y=1.7z then 0.7z+1.7z+z=102, therefore 3.4z=102 then 
z =102/3.4 = $30.
x=0.7*30= 21 and y=1.7*30=51.

Ann has $21, Mary has $30 and Jessica has $51.
  
3 0
3 years ago
The value of 2x + 2y, for x = 7 and y = 3, is 50.<br><br> True<br> False
Lilit [14]
2x+2y =50
2(7)+ 2(3)=50
14+6 =50
20=/=50

This is false because when you substitute the variables with their numbers and then multiply and add, your answer does not equal 50
5 0
3 years ago
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The sphere shown has a radius of 3 yards. What is the approximate volume of the sphere? Use 3.14 to approximate pi.
slavikrds [6]

Answer:

The volume of the sphere is 113.04 yd³

Step-by-step explanation:

8 0
2 years ago
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