Answer: ![\dfrac{1}{8}](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B8%7D)
Step-by-step explanation:
The total outcomes of tossing a coin = 2
The total number of possible outcomes of flipping coin three times =2 x 2 x 2 = 8
Favorable outcome= (Head, tail, Head) in order
i.e. Number of Favorable outcomes = 1
We know that , Probability = ![\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BFavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
Therefore , The required probability ![=\dfrac{1}{8}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B8%7D)
Hence , the probability she gets (Head, tail, Head) in that order![=\dfrac{1}{8}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B1%7D%7B8%7D)
Answer:
Step-by-step explanation:
The answere is no solution, there are no values of X that makes the inequality true, therefore there is no solution
Answer: 24, 33
2.5, 4.75
9.5, 11.75
<u>Step-by-step explanation:</u>
It is given that the PERIMETER is BETWEEN 24 and 33
--> 24 < P < 33
Graph: O------------------O
24 33
Perimeter = 2w + 2L
It is given that L = w + 7
Substitute P with 2w + 2L and substitute L with w + 7
24 < 2w + 2(w + 7) < 33
24 < 2w + 2w + 14 < 33
10 < 4w < 19
--> 2.5 < w < 4.75
Graph: O--------------------------O
2.5 4.75
Since L = w + 7, then w = L - 7
Substitute P with 2w + 2L and substitute w with L - 7
24 < 2(L - 7) + 2L < 33
24 < 2L + 2L - 14 < 33
38 < 4L < 47
--> 9.5 < L < 11.75
Graph: O------------------------O
9.5 11.75
<em>NOTE: Make sure you use OPEN dots on the graphs.</em>
Considering the proportions given in the table, the superhero is most likely to be the favorite is Superman.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
Looking at the table, the proportions associated with each superhero is given as follows:
As it has the highest proportion, the superhero is most likely to be the favorite is Superman.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
Tell whether the ordered pair is a solution to the system of linear equations. 1 point
(-2,-1); 2x – 4y= -8
6x + 5y = -7
No