X= 23 degrees
To find this you first add up 124 and 33 which equals 157. Then you would subtract 157 from 180 because all triangles equal 180.
Answer:
3, 10
Step-by-step explanation:
1.
5x-1=14 ->
5x=15 ->
x=3.
2.
15+3x=45 ->
3x=45-15=30 ->
3x=30 ->
x=10.
Hope that help! :)
So to solve problems like these you can work out each equation by substituting the x and y with the coords from the vertex (2,-4) and which ever one is true is the corresponding equation.
Lets try the first one
A) y = 2( x-2)^2-4 this would become
-4 = 2(2-2)^2-4 we solve this and get
-4 = 2(0)-4
-4 = -4
so it seems like A is the correct answer, of course we'd wanna check out the other answers just to be sure.
Lets try one and do C
C) -2 = 2(-4-2)^2+2
-2 = 2(-8)^2+2
-2 = 130
These aren't equal so this can't be our equation
So you can also do one more just to be super sure you have the right answer but I think A is the correct one :)
Answer:
(a) The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) Upper confidence bound = 0.0787
Step-by-step explanation:
(a) The confidence interval for p (proportion) can be calculated as


NOTE: π is the proportion ot the population, but it is unknown. It can be estimated as p.

For a 95% two-sided confidence interval, z=±1.96, so

The confidence interval is: 0.0304 ≤ π ≤ 0.0830.
(b) The confidence interval now has only an upper limit, so z is now 1.64.

The confidence interval is: -∞ ≤ π ≤ 0.0787.