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%
When i do it, with the cone formula w volume, i get 678.567 but that’s none of your choices
Answer:
x = 12, so PTQ = 40 deg
Step-by-step explanation:
first, because the two are vertically opposite, they are equal, write a formula for this:
x + 28 = 2x + 16 (minus 2x from both sides)
-1x + 28 = 16 (minus 28 from both sides)
-1x = -12 (divide both sides by -1)
x = 12
sub into formula:
12 + 28 = 40
Answer: 12.25
Step-by-step explanation:
3.5² just equals 3.5 x 3.5
After 20 days Chelsea, Jordan and Maddy will be working together !
<u>Step-by-step explanation:</u>
Here we have , Chelsea, Jordan and Maddy all work at the same clothing store. Chelsea works every other day. Jordan works every fourth day and Maddy works every fifth day. Today they all worked together. We need to find How many days will it be until they work together again . Let's find out:
According to given scenario we have , Chelsea works every other day i.e. in 1 day. Jordan works every fourth day i.e. in 4 days and Maddy works every fifth day i.e. in 5 days . In order to find How many days will it be until they work together again we will calculate LCM of all of the three people working days period i.e. 1 , 4 , 5 :
⇒ 
⇒ 
Since, LCM of all of the three people working days period i.e. 1 , 4 , 5 is 20 , Therefore , After 20 days Chelsea, Jordan and Maddy will be working together !
