Answer:
The z score for bolt of diameter 18.12 mm is 1.20.
Step-by-step explanation:
Let <em>X</em> = diameter of bolts.
It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.
A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.
The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

The formula to compute the <em>z</em>-score is:

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.
Compute the <em>z</em>-score for this value as follows:

Thus, the z score for bolt of diameter 18.12 mm is 1.20.
Answer:
x<3 and x≥5
Step-by-step explanation:
Look at the circles and what is shaded on the number line. The first circle is at x=3, and it's an open circle. An open circle means that the interval does not include that point. The arrow is going to the left, meaning x < 3.
The next circle is at x=5. It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign). Next, notice how the arrow is pointing to the right. That means that the blue area is at x=5 and greater than x=5, so x≥5.
I think it’s the red line.
So you want to put the equation into y=mx+b so you would need to subtract the x to put it on the right side so then you’ll have 2y=-x+0 then divide by 2 to get the y by itself then you’ll have y=-2x+0 that means the line would be negative and the y intercept is 0 and the only line that follows that is the red line.
Hope this helped :)
Answer:
13/15
Step-by-step explanation:
2/3 + 1/5
You first,
- Find the L. C. M, i hope u know the full name, if u don't, let me know in the comment section.
- the L. C. M is 15
- therefore it will be 10+3/15
- 13/15
Answer:
The number of follower after x years is 40,000
Step-by-step explanation:
Given as :
The number of current followers = p = 40,000
The rate of growth of follower = r = 2.5%
The time period of growth = t = x years
Let The number of follower after x years = A
<u />
<u>Now, According to question</u>
The number of follower after x years = number of current followers × 
Or, A = p × 
Or, A = 40,000 × 
Or, A = 40,000 × 
So, The number of follower after x years = A = 40,000 × 
Hence, The number of follower after x years is 40,000
Answer