Simple, since your equation is y=35x+45, it's quite simple to see what is the y-intercept.
It's written in y=mx+b form, the b being the y-intercept.
Thus, your y-intercept, is 45.
Answer:
Standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
Step-by-step explanation:
We are given the following information in the question:
Formula:
![z_{score} = \displaystyle\frac{x - \mu}{\sigma}](https://tex.z-dn.net/?f=z_%7Bscore%7D%20%3D%20%5Cdisplaystyle%5Cfrac%7Bx%20-%20%5Cmu%7D%7B%5Csigma%7D)
where,
μ is the mean and σ is the standard deviation.
Putting the values we get:
![\displaystyle\frac{ 3- \mu}{\sigma} = 1\\\\3 = \sigma + \mu\\\\\displaystyle\frac{ 3.5- \mu}{\sigma} = 2\\\\3.5 = 2\sigma + \mu](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cfrac%7B%203-%20%5Cmu%7D%7B%5Csigma%7D%20%3D%201%5C%5C%5C%5C3%20%3D%20%5Csigma%20%2B%20%5Cmu%5C%5C%5C%5C%5Cdisplaystyle%5Cfrac%7B%203.5-%20%5Cmu%7D%7B%5Csigma%7D%20%3D%202%5C%5C%5C%5C3.5%20%3D%202%5Csigma%20%2B%20%5Cmu)
Solving the two obtained equations:
Subtracting the two obtained equation, we have:
![3.5-3 = \mu + 2\sigma - \mu -\sigma\\\sigma = 0.5](https://tex.z-dn.net/?f=3.5-3%20%3D%20%5Cmu%20%2B%202%5Csigma%20-%20%5Cmu%20-%5Csigma%5C%5C%5Csigma%20%3D%200.5)
Hence, standard deviation of the length of granola bars produced at Bernie's Bars is 0.50
10 <0.25 (x + 1) <11
We must solve two inequalities in this case.
Inequality 1:
10 <0.25 (x + 1)
10 / 0.25 <x + 1
40 <x + 1
40-1 <x
39 <x
Inequality 2:
0.25 (x + 1) <11
(x + 1) <11 / 0.25
(x + 1) <44
x <44-1
x <43
The final result is:
39 <x <43
Answer:
39 <x <43
Answer:
C=10
Step-by-step explanation:
To solve this problem, first, you have to isolate it on one side of the equation. Remember, isolate c on one side of the equation.
3/2c+23-23=38-23 (subtract 23 from both sides.)
38-23 (solve.)
38-23=15
3/2c=15
2*3/2c=15*2 (multiply 2 from both sides.)
15*2 (solve.)
15*2=30
3c=30
3c/3=30/3 (divide by 3 from both sides.)
30/3 (solve.)
30/3=10
c=10
Answer:
19/5
Step-by-step explanation:
i used a calculater