The answer is going to be x=22
The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer:
Option d is correct.
The number of students that chose Target as their favorite store over Ross = 4 students.
Step-by-step explanation:
The graph of the question is obtained from another brainly question on here. But uploading it will lead to deletion of this answer as it would be violating the community guidelines here.
So, I'm going to describe the graph.
The graph provided with the question is a pie chart, with each region clearly shown and the corresponding percentage for each of the students' favourite stores that come up in the survey given as
TJMax - 20%
Wal-Mart - 25%
Ross - 20%
Target - 25%
Others - 10%.
How many more students surveyed chose Target as their favorite store over Ross?
Total number of students sampled = 80
Number of students that picked Target
= 25% × 80 = 20 students
Number of students that picked Ross
= 20% × 80 = 16 students.
Number of students that chose Target as their favorite store over Ross = 20 - 16 = 4 students.
Hope this Helps!!!
Answer: B. 0.036
Step-by-step explanation:
Formula for standard error :

, where p = Population proportion and n= sample size.
Let p be the population proportion of the people who favor new taxes.
As per given , we have
n= 170

Substitute these values in the formula, we get

Hence, the standard error of the estimate is 0.036.
∴ The correct answer is OPTION B. 0.036
Answer:
Yes
Step-by-step explanation:
74/e < 12
Since e is in the denominator, e can not be 0.
If e > 0,
74/e < 12
74 < 12e
e > 74/12
e < 37/6
If e < 0,
(When you multiply by e, which is a negative value, inequality reverses)
74 > 12e
e < 74/12
e < 37/6