Answer:
60 students
Step-by-step explanation:
The confidence interval of a proportion is given by:
Where 'p' is the proportion of students who responded 'yes', 'z' is the z-score for a 95% confidence interval (which is known to be 1.960), and 'n' is the number of students in the sample.
If the confidence interval is from 0.584 to 0.816, then:
60 students were in the sample.
Expression without an equal sign with at least one variable
Hope this helps!
Answer:
The answer to your question is letter B.
Step-by-step explanation:
Data
Center = (-10, 6)
radius = 8
Process
1.- To find the answer to your question just substitute the values in the standard form of the circle.
Equation
(x - h)² + (y - k)² = r²
h = -10
k = 6
r = 8
Substitution
(x + 10)² + (y - 6)² = 8²
Simplification
(x + 10)² + (y - 6)² = 64
Answer:
1.19
Step-by-step explanation:
You're trying to figure out what x is here.
So you'll want to isolate the x. That means, get it alone.
Since both sides are equivalent, when you subtract 2.45 from the x side, you also subtract it from the other side too.
x = 3.64 - 2.45
x = 1.19
Move everything to one side
Equation
2x^2 - 5x -3 = 0
Sq rt means square root or radical sign
Quadratic equation-> x = - (b) +/- Sq rt b^2 -4ac
2a
- (-5) +/- Sq rt (-5)^2 - 4(2)(-3)
2 (2)
5 +/- Sq rt 25 + 24
4
Sq rt 29 = 5.38
5 + Sq rt 29 divides over 4 and 5 - Sq rt 29 divides over 4.
