Answer:
2^2+2^2=8
Square root of 8= 2.82
2+2+2.828=6.83
A.6.83
2^2+3^2=13
Square root of 13=3.6
2+3+3.6=8.6
B. 8.6
Answer:
The company should use a mean of 12.37 ounces.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
The distribution for the amount of beer dispensed by the machine follows a normal distribution with a standard deviation of 0.17 ounce.
This means that 
The company can control the mean amount of beer dispensed by the machine. What value of the mean should the company use if it wants to guarantee that 98.5% of the bottles contain at least 12 ounces (the amount on the label)?
This is
, considering that when
, Z has a p-value of
, so when
.
Then





The company should use a mean of 12.37 ounces.
Answer:
do it your self.
Step-by-step explanation:
The probability that a pregnancy last at least 300 days is 0.01659
Step-by-step explanation:
The formula of z-score is z = (x - μ)/σ, where
- μ is the mean
- σ is the standard deviation
- x is the score
The lengths of human pregnancies are normally distributed with a
mean of 268 day & a standard deviation of 15 days
∴ μ = 268 days
∴ σ = 15 days
We need to find the probability that a pregnancy last at least 300 days
∵ At least means greater than or equal
∴ x ≥ 300 days
For probability that x ≥ 300 find the z-score and use the normal
distribution table to find the area to the right of the z-score
∵ z = (x - μ)/σ
∴ 
∴ <em>z</em> = 2.13
By using the normal distribution table of z-score
∵ The area (to the left of z-score) corresponding to z-score of 2.13
is 0.98341
∵ We need the area to the right of z-score
∴ P(x ≥ 300) = 1 - 0.98341
∴ P(x ≥ 300) = 0.01659
The probability that a pregnancy last at least 300 days is 0.01659
Learn more:
You can learn more about probability in brainly.com/question/9178881
#LearnwithBrainly
<h3>
Answer: 2.4 pounds per dollar</h3>
Explanation:
We can set up the ratio
12 pounds : 5 dollars
Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"
The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar