Answer:
x = 4
Step-by-step explanation:
1.5(x + 4) – 3 = 4.5(x – 2)
Distributive property
1.5x + 6 - 3 = 4.5x - 9
1.5x + 3 = 4.5x - 9
1.5x - 4.5x = -9 -3
-3x = -12
x = 4
Answer:
The probability that neither person is left-handed is 88.36%, that only one is left-handed is 5.64%, and that both are left-handed is 0.36%.
Step-by-step explanation:
Supposing that 6% of people are left handed and supposing two people are picked at random, to find the probability that 0, 1 or 2 people are left-handed, the following calculation must be performed:
100 - 6 = 94
0 left-handed people = 0.94 x 0.94 = 0.8836 = 88.36%
1 left-handed person = 0.94 x 0.06 = 0.0564 = 5.64%
2 left-handed people = 0.06 x 0.06 = 0.0036 = 0.36%
Therefore, the probability that neither person is left-handed is 88.36%, that only one is left-handed is 5.64%, and that both are left-handed is 0.36%.
Answer:
Step-by-step explanation:
Given
---- proportion of watches with defects
--- Number of watches
Solving (a): Represent at least 215 of 400 are defective
In inequalities, at least means:
So, the probability is represented as:
Solving (b): Calculate
Normal or Poisson: Normal distribution is characterized by 2 parameters and .
These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution
Start by calculating the mean
Calculate standard deviation
By continuity correction, we have:
So, we have:
Calculating , we have:
Calculate z score
So, we have:
Using the z score probability table, we have:
So, we have:
-5 -4 -3 -2 -1 0 1 2 3 4 5
2= X -3
2+3=5
X= 5