Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = 
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
6 Paperclips
Step-by-step explanation:
You first step would be to do 45 divide 7 1/8. Your answer would then be 6 6/19. The last step would be to round 6 6/19. Your answer would then be 6. Your answer would be 6, because you cant have 6/19 of a paper clip.
A = bh
A = (22)(18)
A = 396 m²
A = ¹/₂h(b₁ + b₂)
A = ¹/₂(8)(16 + 12)
A = ¹/₂(8)(28)
A = ¹/₂(224)
A = 112 cm²
P = 2l + 2w
20 = 2l + 2(4)
20 = 2l + 8
- 8 - 8
12 = 2l
2 2
6 = l
C = 2πr
C = 2(3.14)(8)
C = 2(25.12)
C = 50.24 in
A = πr²
A = (3.14)(3)²
A = (3.14)(9)
A = 28.26 m²
Answer:
P(A&B) = 0.4
Explanation:
Because it is a random process and there are no special constraints the probability for everybody is the same, the probability of choosing a particular site is 1/7, the person originally seated in chair number seven has 5/7 chance of not seating in chair number six and seven, the same goes for the person originally seated in chair number six; Because we want the probability of the two events happening, we want the probability of the intersection of the two events, and because the selection of a chair change the probability for the others (Dependents events) the probability P(A&B) = P(A) * P(B/A) where P(A) is 5/7 and the probability of choosing the right chair after the event A is 4/7, therefore, P(A&B) = 4/7*5/7 = 0.4.
If the events were independent the probability would be 0.51.
