Answer:
Interval [16.34 , 21.43]
Step-by-step explanation:
First step. <u>Calculate the mean</u>

Second step. <u>Calculate the standard deviation</u>



As the number of data is less than 30, we must use the t-table to find the interval of confidence.
We have 6 observations, our level of confidence DF is then 6-1=5 and we want our area A to be 80% (0.08).
We must then choose t = 1.476 (see attachment)
Now, we use the formula that gives us the end points of the required interval

where n is the number of observations.
The extremes of the interval are then, rounded to the nearest hundreth, 16.34 and 21.43
5n - 1 < 24 is the inequality in question. Add 1 to both sides, obtaining:
5n < 25. Divide both sides by 5, obtaining n < 5 (answer)
79.4 / 8 is;
9.925. Hope this helps you.
Answer:
53 inches
Step-by-step explanation:
use the Pythagorean Theorem
c^2 = a^2 + b^2
x^2 = 28^2 + 45^2
x^2 = 784 + 2025
x^2 = 2809
Take the square root of both sides
x = 53
Answer:
each movie costs $2.75, each video game costs $6.75
Step-by-step explanation:
x = movies, y = video games
7x + 9y = 80
5x + 3y = 34
simplified to
x = 11/4 , y = 27/4