Arnie has an empty jug with a capacity of 500 cm'. He pours water into the jug, stopping when the water takes up three quarters of the jug's capacity.
How
many millilitres of water did Arnie pour into the jug? (1 cm = 1 ml)

This question is incomplete because it was not correctly written and it lacked the appropriate options.

Complete Question:

Use technology or a z-distribution table to find the indicated area. The masses of the eggs collected on a farm are normally distributed with a mean of 55 grams and a standard deviation of 4.2 grams. Approximately 80% of the eggs on the farm have a mass greater than which mass?

a) 51.5 g

b) 54.1 g

c) 55.8 g

d) 58.5 g

d) 58.5 g

Step-by-step explanation:

Using the z score formula

z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the question:

x is the raw score is unknown

μ is the population mean = 55 grams

σ is the population standard deviation= 4.2 grams

Where were not given the z score but we were given the probability of the z score to be approximately 80%

Converting 80% to decimal, = 0.80

P(x<Z) = 0.80

Using a normal distribution table, the z score corresponding to 0.80 = 0.8416

Since we have our value for z , we substitute to find x

z = (x-μ)/σ,

0.8416 = (x - 55) / 4.2

0.8416 × 4.2 = x - 55

( 0.8416 × 4.2) + 55 = x

x = 58.53472

Approximately = 58.5 grams

Therefore, approximately 80% of the eggs on the farm have a mass greater than 58.5grams.