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.
Answer:
[(a)^2-(4^2)](a+4)
Step-by-step explanation:
Answer:
430
Step-by-step explanation:
To find the area, use the area for a parallelogram formula:
A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.
Next, substitute the values of the base and height:
A = 20in. * 21.5 in.
Finally, simplify the multiplication:
A = 430
If .65 were to repeat it would be .656565656565656
Answer:
a=-8/5
Step-by-step explanation:
(-1/2a-5)=3a+1
To find the opposite of 1/2 a−5, find the opposite of each term.
-1/2a-(-5)= -3a+1
The opposite of −5 is 5.
-1/2a+5=-3a+1
add 3a to both sides
-1/2a+5+3a=1
Combine-1/2and 3a to get 5/2a
5/2a+5=1
Subtract 5 from both side
5/2a=1-5
Subtract 5 from 1 to get −4.
5/2a=-4
Multiply both sides by 2/5 =0.4, the reciprocal of 5/2=2.5.
a=-4x(2/5)
express -4x(2/5)=1.6 as single fraction.
a= -4x2/5
Multiply −4 and 2 to get −8.
a=-8/5
Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.
a=-8/5
