Answer:
a) 0.00070
b) 0.00050
c) 0.00022
d) 0.00016
e) 0.00005
Step-by-step explanation:
Standard error for proportion formula
S.E = √P(1 - P)/n
Where P = proportion
n = number of samples
Assume that the population proportion is 0.46. Compute the standard error of the proportion, σp, for sample sizes of a) 500,000
S.E = √P(1 - P)/n
= √0.46 × 0.54/500000
= √ 4.968 ×10^-7
= 0.0007048404
≈ 0.00070
b) 1,000,000
√P(1 - P)/n
= √0.46 × 0.54/1000000
= 0.0004983974
≈ 0.00050
c) 5,000,000
√P(1 - P)/n
= √0.46 × 0.54/5000000
= √ 4.968 ×10^-8
= 0.0002228901
≈ 0.00022
d) 10,000,000
√P(1 - P)/n
= √0.46 × 0.54/10000000
= √2.484 ×10^-8
= 0.0001576071
≈ 0.00016
e) 100,000,000
√P(1 - P)/n
= √0.46 × 0.54/100000000
= √2.484 × 10^-9
= 0.0000498397
= 0.00005
Answer:
y = 3/4x - 2
Step-by-step explanation:
slope intercept form: y = mx + b
y-intercept(when x= 0) is given by b
slope is given by m
lets find the slope using the two given points, (4,1) and (8,4)
m = y2-y1 / x2-x1
m = 4 - 1 / 8 - 4
m = 3/4
Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).
1 = 3/4(4) - b
1 = 3 - b
b = -2
now you have m and b so you can finish writing your equation.
y = mx + b
y = 3/4x - 2
Angle 6 and Angle 7 are each 90° since they’re on a straight line and are both equal.
180-90= 90
*you subtract from 180 because that’s how many degrees are in a straight line*
Angle 7 and Angle 1 are alternate exterior angles so that makes them congruent by definition.
