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drek231 [11]
2 years ago
15

Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

d at the results of his experiment to determine the ratio of heads outcomes to tails outcomes.
The ratio of heads to tails in simplified form is _ to _
can somebody help me plz :(
Mathematics
2 answers:
pav-90 [236]2 years ago
8 0

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

pav-90 [236]2 years ago
7 0

Answer:3:1

Step-by-step explanation:

Total number of times he flipped the coin =32 times

Out of the 32 times, the outcome of tails is 8 times

The outcome of heads will be

Total times- Tails outcome

32-8

=24 times

Tails outcome= 8 times

Heads outcome= 24 times

Ratio of heads to tails is

Total heads outcome/total tails outcome

=24/8

=3/1

Therefore ratio of heads to tails is 3:1

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What is he value of F(-3)
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The correct answer is: " 10 " .

___________________________________________

→ " f(-3) = 10 " .

___________________________________________

Explanation:

___________________________________________


Given:

___________________________________________


f(x) = 7 − x ; if: x ≤ -3 ;


f(x) = x + 4 ; if: x > -3 ;

_________________________________________


Find: " f(-3) " :

_________________________________________


Note:  " f(x) = f(-3) " ;  → " x = - 3 " ;


Since  " x  = -  =3 " ;   →  x is NOT greater than "-3" ;


→ So; " f(x) does NOT equal " x + 4" ;

_________________________________________

Consider our other option given:


We have "x = -3 " .


We our given: If " x ≤ -3 " ; {that is; if "x" is less than or equal to "-3" };


→  then: " f(x) =  7 −  x " .

______________________________________________


Since: " x = - 3 " ;


→ then " x ≤ -3 " ;  and:


→ f(x) = 7 − x  ;


THEN:


→ f(-3) = 7 − (-3) ;  →  Note:  Plug in "-3" for the value(s) of "x" in the equation;

and solve:

→         =  7  +  3 ;    

             =  10 .

___________________________________________________

→  f(-3)  =  10  .


_____________________________________

The answer is:  " 10 " .

_____________________________________

Hope this answer — and explanation — is helpful to you.

Best wishes in your academic pursuits!

_____________________________________

5 0
3 years ago
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