Answer:
b. 1.15
Step-by-step explanation:
The z statistics is given by:

In which X is the found proportion, p is the expected proportion, and s, which is the standard error is 
Out of 53 teachers who replied to the survey, 13 claim they are satisfied with their job.
This means that 
She find that the proportion of satisfied teachers nationally is 18.4%.
This means that 
Standard error:
p = 0.184, n = 53.
So

Z-statistic:



The correct answer is:
b. 1.15
Given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Given the data in the question
- Equation of the pathway of sams dive into the swimming pool is h = -16t² + 15t + 12.
- Time t = 2.0 seconds
- Height h = ?
Now, to get the height after 2 seconds, we substitute 2 for t in the equation.
h = -16t² + 15t + 12.
If t = 2
h = -16(2)² + 15(2) + 12
h = -16(4) + 30 + 12
h = -64 + 30 + 12
h = -64 + 42
h = -22ft
Therefore, given the equation representing the pathway of sam's dive into the swimming pool, his height after two seconds is -22ft.
Learn more about quadratic equations here: brainly.com/question/1863222
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The correct answer is B). 6
Radius of inscribed circle of triangle HJK is 6 unit
Step-by-step explanation:
As shown in figure,
The triangle HJK has In-circle or inscribed circle of radius PL(or PM or PN)
Since, PL and PM is radius of same in-circle,
PL = PM
Given that PL=3x+4 and PM =6x-14
3x+4=6x-14
3x=18
x=6
Thus, The correct answer is B). 6