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pito63
09.07.2019 •
Mathematics
Which is bigger 4 kilometers or 4400 meters?
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Ответ:
4400m=(4400/1000)km
4400m=4.4km
therefore, 4400meters is bigger
Ответ:
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.