Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
Answer: 46%
Step-by-step explanation:
Since the number of baby carrots in a bag is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = the number of baby carrots in the bag.
µ = mean
σ = standard deviation
From the information given,
µ = 94 carrots
σ = 8.2 carrots
The probability that a bag of baby carrots have between 90 and 100 carrots is expressed as
P(90 ≤ x ≤ 100)
For x = 90,
z = (90 - 94)/8.2 = - 0.49
Looking at the normal distribution table, the probability corresponding to the z score is 0.31
For x = 100,
z = (100 - 94)/8.2 = 0.73
Looking at the normal distribution table, the probability corresponding to the z score is 0.77
Therefore,
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots that have between 90 and 100 carrots is
0.46 × 100 = 46%
Step-by-step explanation:
1. The first is a tabulation of the data, in an organized, clear and concise way for each event.
2. After tabulation, for a better understanding of the data, statistical data, such as the mean, median, and standard deviation of each event, should be collected.
3. Finally, graph the data obtained to see the trend of both cases and thus have a very precise way to make the comparison of both events
Answer:
X=5
Step-by-step explanation:
Answer:
34.64 cm
Step-by-step explanation:
sin 60 =
sin 60 (40) = x
34.64 = x
equilateral triangles have 60° angles.
sin Ф =
hypotenuse is 40. All sides are 40.
x = opposite or height of triangle.