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tiny-mole [99]
3 years ago
10

PLZ HELP SOON

Mathematics
2 answers:
marysya [2.9K]3 years ago
5 0
12.5%. there is a 1 in 8 chance that all three times it will land on heads.
frosja888 [35]3 years ago
3 0
There is a 1 in 8 chance it would flip on heads so about a 12.5%
You might be interested in
He sum of three consecutive integers is −369−369. find the three integers.
Alinara [238K]
N + (n+1) + (n+2) = -369
3n + 3 = -369
3n = -366
n = -122

so the three consecutive integers are : -124 ; -123 ; -122
4 0
3 years ago
Could someone help me understand how to solve this? I'm having trouble with it, it's about Applications of Systems of Linear Equ
Anna35 [415]

Answer:

Therefore the amount in the 4% savings account = $550

Step-by-step explanation:

i) the total amount = $1500

ii) let the amount placed in the 4% interest savings account = x

iii) let the amount placed in the 5% interest savings account  = y

iv) therefore fro i) we can say  x  +  y = 1500

v) the total interest gained = $69.5

vi) therefore we can write 0.04x + 0.05y = 69.50

vii) multiplying equation vi) with 100 we get 4x + 5y = 6950

viii) Multiplying the equation in iv) by 5 we get 5x + 5y = 7500

ix) Subtracting equation in vii) from equation in viii) we get x = $550

x) Therefore the amount in the 4% savings account = $550

3 0
3 years ago
System of Equations <br> Need help<br> Trig
Yanka [14]

Looks like the system is

\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}

We can eliminate y by taking

(3x+2y+5z)-2(-2x+y+6z)=16-2(1)

\implies3x+2y+5z+4x-2y-12z=16-2

\implies7x-7z=14

\implies x-z=2

so that z=x-2, and

(7x+3y-4z)-3(-2x+y+6z)=11-3(1)

\implies7x+3y-4z+6x-3y-18z=11-3

\implies13x-22z=8

Substitute z=x-2 into this last equation and solve for x:

13x-22(x-2)=8

\implies13x-22x+44=8

\implies-9x=-36

\implies x=4

Then

z=x-2

\implies z=4-2

\implies z=2

Plug these values into any one of the original equation to solve for y:

-2x+y+6z=1

\implies-2(4)+y+6(2)=1

\implies-8+y+12=1

\implies y=-3

Hence the solution is x = 4, y = -3, and z = 2.

6 0
4 years ago
The measure of an angle is five times the measure of its complementary angle. What is the measure of each angle?
GalinKa [24]

Answer:

150 degrees

Step-by-step explanation:

  1. Let the supplement = x  
  2. So the angle you want is 5x  
  3. Then [x + 5x] = 180 because they are supplementary.  
  4. Solving. 6x = 180. Then x = 30.  
  5. So the angle is 5x = 5×30 = 150 degrees
3 0
3 years ago
How can you prove:<br><br> secθ = cscθtanθ
zavuch27 [327]

\sec \theta=\csc \theta\tan \theta\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\sin \theta}\cdot\dfrac{\sin \theta}{\cos \theta}\\\\ \dfrac{1}{\cos \theta}=\dfrac{1}{\cos \theta}

3 0
3 years ago
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