The probability that it is less than 11.9 inches long will be 0.11304.
<h3>What is the z-score?</h3>
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A manufacturer knows that their items have a normally distributed length, with a mean of 14.2 inches, and standard deviation of 1.9 inches.
If one item is chosen at random.
Then the probability that it is less than 11.9 inches long will be
Then the z-score will be
z = (11.9 – 14.2) / 1.9
z = –1.21
Then the probability will be
P(x < 11.9) = P(z < –1.21)
P(x < 11.9) = 0.11304
More about the z-score link is given below.
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Answer:
The answer to your question is:
Step-by-step explanation:
Q1. They are vertical angles, so they measure the same
[2(x + 10)] = (3x - 30)
2x + 20 = 3x -30
2x - 3x = -30 - 20
- x = - 50
x = 50
Q2. They are also vertical angles, so they measure the same.
[6(x - 2)] = 3x + 30
6x - 12 = 3x + 30
6x - 3x = 30 + 12
3x = 42
x = 42/3
x = 14
∠DHG = 6(14 - 2)
∠DHG = 6(12)
∠DHG = 72
Answer:
C
Step-by-step explanation:
Picture
The formula to calculate the z-score of a certain value is:
z = (x - (mean))/(standard deviation)
In this example, the x-value is 450, the S.D. is 100, and the mean is 500.
So, substitute these values into the formula.
z = (450-(500))/100
z=-50/100
z=-0.5
Therefore, the z-score is -0.5.
