Answer:
The point estimate for p is 0.86.
Step-by-step explanation:
We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).
Let p = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>
Now, the point estimate for the population proportion (p) is represented by ;
Point estimate for p = 
= 
where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628
n = sample of women shoppers = 730
So, <u>point estimate for p</u> () =
= 
= <u>0.86</u>
Answer:
1/6
Step-by-step explanation:
50% is 0.5 or 1/2 so you just multiply 1/3 by 1/2 to get 1/6
Answer:
m∠BEF = 65.3°
Step-by-step explanation:
Given:
m∠DEB = 27.2,
m∠DEF = 92.5
Required:
m∠BEF
SOLUTION:
Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.
Therefore:
m∠BEF + m∠DEB = m∠DEF (angle addition postulate)
m∠BEF + 27.2 = 92.5
Subtract 27.2 from each side
m∠BEF + 27.2 - 27.2 = 92.5 - 27.2
m∠BEF = 92.5 - 27.2
m∠BEF = 65.3°
Answer:
Angle Q is 51°
Angle R is 96°
(x=5 and the exterior angle is 84°)
Step-by-step explanation:
Exterior Angle Theorem says that angle that's outside the triangle (extend a side and see the angle between the side extension and the side) IS Equal to the sum of the two angles that are farther away.
17x - 1 = 33 + 10x + 1
Get all the x's on one side of the equation.
17x-10x - 1 = 33 + 10x-10x+1
7x - 1 = 33 + 1
7x - 1 = 34 add 1 to both sides
7x = 35 divide by 7
7x/7 = 35/7
x = 5
Not finished ! Find Angle Q
10x+1 = 10(5)+1= 51°
Angle PRQ is insidethe triangle. All the angles of a triangle add up to 180°
33° + 51° + R = 180°
84° + R = 180°
R = 96°
