3 more than the product of 7 and a number x is less than 26 Find the solution set for x. Write the solution using a fraction or
1 answer:
Answer: The solution set is
Step-by-step explanation:
The product of 7 and x is .
3 more than the product of 7 and x is .
We were given that, the expression is less than 26.
This implies that,
.
We group like terms to obtain,
we now divide through by 7 to obtain,
We finally write this as a mixed number to obtain,
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Answer:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
Just 4 possible values from 8 possible combinations for the 3 random tosses
Step-by-step explanation:
For this case we define W as the random variable who represent the number of heads minus the number of tails in three tosses of a coin.
W= # heads- # coins
Since we toss a coin 3 times we have 2*2*2= 8 possible results. We can list the results and the corresponding values for W like this:
HHH, W = 3-0 = 3
HHT, W= 2-1=1
HTH, W= 2-1=1
THH, W=2-1 =1
HTT, W= 1-2=-1
THT, W= 1-2=-1
TTH, W=1-2=-1
TTT, W=0-3 = -3
So then the sample space for W is:
Just 4 possible values from 8 possible combinations for the 3 random tosses