Answer:
its 5
Step-by-step explanation:
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:
Step-by-step explanation:
let p¼ = a, q¼ = b
L.H.S. = (a - b)(a + b)(a² + b²) = (a² - b²)(a² + b²) = (a²)² - (b²)² = p - q = R.H.S.
SSS
all sides are congruent!:)
Step-by-step explanation:
With reference angle 30°
perpendicular (p) = 20
base (b) = x
hypotenuse (h) = y
Now
sin 30° = p / h
1 / 2 = 20 / y
y = 40
Again
cos 30° = b / h
√3 / 2 = x / 40
x =40 * √3 / 2
x = 20√3
Hope it will help :)