Y=4x +3 bc the slope needs to be the same just different y intercepts
Answer:
(x,y) (1,3)
Step-by-step explanation:
3x=-x+4
+x +x
4x=4
*divide/simply*
x=1
y=3(1)
y=3✓
y=-1+4
y=3 ✓
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
Answer:
Step-by-step explanation:
Let and .
The midpoint is calculated using the formula;
Substitute the coordinates to get;
.60 because there's 5 spots and 3 are odd so 3/5 is also equivalent to 60 percent? sorry if wrong!