<u>Answer</u>
1.72 or -0.387
<u>Explanation</u>
3x²-4x-2=0
3x²-4x = 2
x² - (4/3)x = 2/3
x² - (4/3)x + (2/3)² = 2/3 + 4/9
(x - 2/3)² = 10/9
x - 2/3 = √10/3 or x - 2/3 = -√10/3
x = √10/3 + 2/3 or x = -√10/3 + 2/3
= 1.72 or = -0.387
Answer: 0.030
Step-by-step explanation:
Given: The percent of the items produced by a machine are defective :
The percent of the items produced by machine which are not defective:
Sample size : n = 100
Now, the standard error of the proportion is given by :-

Hence, the the standard error of the distribution of the sample proportions=0.030
Answer:
4 seconds to reach 200 feet
Step-by-step explanation:
You can use Desmos (graphing calculator) then plug in the equation and you will find the x-values are 7.188 and 0- the origin.
Divide 7.188 by 2 (this is also solving for the midpoint/axis of symmetry) and you get 3.594
Round 3.594 to the nearest second which would be 4 seconds.
Hope that helps and have a great day!
Answer:
11/24
Step-by-step explanation:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator. Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1. The two fractions now have like denominators so you can subtract the numerators.
This fraction cannot be reduced.
Therefore the answer is 11/24