I wrote the equation of 2x-8. I attached an image of the line for the equation I wrote, and the point you gave for the line to go through.
Okay so the answer would be
Let be "n" the number mentioned in the exercise.
You need to remember that:
1. In Math word problems:
- The word "times" means multiplication.
- The word "twice" indicates that something is multiplied by 2.
- "Sum" is the result of an Addition.
2. In inequalities, "Less than" is represented with the following symbol:
![](https://tex.z-dn.net/?f=%3C)
Then, based on the above, you know that "3 times a number" can be expressed as:
![3n](https://tex.z-dn.net/?f=3n)
And "Twice the same number":
![2n](https://tex.z-dn.net/?f=2n)
Therefore, "The sum of 3 times a number and twice the same number is less than 45" can be represented with the following inequality:
![3n+2n](https://tex.z-dn.net/?f=3n%2B2n%3C45)
The answer is: Option a.
Answer:
0.8152 ≤ p ≤ 0.8608
579
Step-by-step explanation:
Given the following :
Samples size n = 1000
Deaths within 10 years, p = 838
α = 95%
Construction a two way confidence interval:
p ± Zα/2 * √p(1-p) / n
point estimate p = 838/n = 838/1000 = 0.838
Z0.05/2 = Z0.025 = 1.96
0.838 - 1.96√0.838(1-0.838) / 1000
0.838 - 1.96*0.0116514 = 0.8152
0.838 + 1.96√0.838(1-0.838) / 1000
0.838 + 1.96*0.0116514 = 0.8608
0.8152 ≤ p ≤ 0.8608
b) Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95% confident that the error in estimating the true value of p is less than 0.03
Error (E) = 0.03
To find the samome size, use the relation:
n = (Zα/2 / E)² * p(1-p)
n = (1.96/0.03)² * 0.838(1-0.838)
n = (1.96/0.03)² * 0.838 * 0.162
n = 4268.4444 * 0.838 * 0.162
n = 579.46
n = 579