Using the normal distribution, it is found that 2.64% of all the nails produced by this machine are unusable.
In a <em>normal distribution</em> with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem:
- The mean is of 3 inches, hence
.
- The standard deviation is of 0.009 inches, hence
.
Nails that are <u>more than 0.02 inches</u> from the mean are unusable, hence:
The proportion is P(|Z| > 2.22), which is <u>2 multiplied by the p-value of Z = -2.22</u>.
Z = -2.22 has a p-value of 0.0132.
2 x 0.0132 = 0.0264
0.0264 x 100% = 2.64%
2.64% of all the nails produced by this machine are unusable.
You can learn more about the normal distribution at brainly.com/question/24663213
<span>a)
Acceleration of stone = 10
Integrate:
So velocity = 10t
Integrate again:
So distance from starting point = 5t^2
Distance from ground = 450-5t^2
b)
450 - 5t^2 = 0
9.48 seconds
c) velocity = 10t
Put the time into this to give:
94.8 m/s
d.
Velocity = 10t + 5
Integrate again:
5t^2 + 5t
Solve
5t^2 + 5t = 450
Gives 9 seconds</span>
Answer:
$21
Step-by-step explanation:
Add what she spent to what she has left.
Answer:
Step-by-step explanation:
1.Rewrite the decimal number as a fraction with 1 in the denominator
2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10
3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,
so the answer is
0.4= 2/5
x = 4/5
2/5=1/2x
Step 1: Flip the equation.
1/2x=2/5
Step 2: Multiply both sides by 2.
2*(1/2x)=2*(2/5)x=4/5
