Answer:
If the coin is fair, then the odds of getting heads or tails should be equal, 12. Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Answer: the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Step-by-step explanation:
Given that;
X has normal distribution has mean µ = 3
standard deviation σ = 2
now
P( x< 4) = P( (x-µ)/σ /(3-4)/5)
= P( z < -0.5 )
= 0.3085 {from the z-table}
X has binomial distribution with n = 8 and p = 0.3085
so P(x=5)
P(x=5) = 8C₅(0.3085)⁵ (1 - 0.3085)⁸⁻⁵
= 0.0517 ≈ 0.05
Therefore the probability that exactly 5 of the 8 cherry tomatoes weigh less than 4 oz is 0.05
Answer:
3 < x < 8
Step-by-step explanation:
Solve each part separately
2x - 1 > 5 ( add 1 to both sides )
2x > 6 ( divide both sides by 2 )
x > 3 , that is
3 < x
and
3x - 5 < 19 ( add 5 to both sides )
3x < 24 ( divide both sides by 3 )
x < 8
Then putting the two together
3 < x < 8
I think its he didnt eliminate the same variables
Answer:
a = 1
b = -1
Step-by-step explanation:
First, let's make equations out of those given f(x)'s
-4 = -3a + b
2 = 3a + b
We can use elimination method to get rid of the a real quick
-4 = b
2 = b
Add those together
-2 = 2b
Divide both sides by 2
-2/2 = 2b/2
b = -1
Plug in the new b in one of the original equations; I'm gonna use the bottom one
2 = 3a - 1
+ 1 + 1
3 = 3a
3/3 = 3a/3
a = 1
