Answer:
a) 0.23
b) The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
Point estimate
The point estimate is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
The lower limit of this interval is:
The upper limit of this interval is:
The 95% confidence interval for the population proportion is (0.1717, 0.2883).
Answer:
Approx. 59% increase.
Step-by-step explanation:
Today - 221
Yesterday - 139
difference (today - yesterday) = 82
How to find percent:
((part)/(whole)) = ((x)/(100))
In this case, the part is the difference, and the whole is the value of an item yesterday, so the equation is:
82/139 = x/100
cross multiply
8200 = 139x
Inverse operations
8200 = 139x
/139 /139
8200/139 = x
approx. 59 = x
Answer:
<h2>10.7%</h2>
Step-by-step explanation:
Step one:
given
expected weight= 28pounds
Actual weight= 25 pound
Required:
percent error
δ= percent error
vA =actual value observed
vE =expected value
δ=25-28/28*100
δ=-3/28*100
δ=0.107*100
δ=10.7%
The percent error is 10.7%
We assume all employees are either full-time or part-time.
36 = 24 + 12
If the number of full-time employees is 24 or less, the number of part-time employees must be 12 or more. (Thinking, based on knowledge of sums.)
_____
You can write the inequality in two stages.
- First, write and solve an equation for the number of full-time employees in terms of the number of part-time employees.
- Then apply the given constraint on full-time employees. This gives an inequality you can solve for the number of part-time employees.
Let f and p represent the numbers of full-time and part-time employees, respectively.
... f + p = 36 . . . . . . given
... f = 36 - p . . . . . . . subtract p. This is our expression for f in terms of p.
... f ≤ 24 . . . . . . . . . given
... (36 -p) ≤ 24 . . . . substitute for f. Here's your inequality in p.
... 36 - 24 ≤ p . . . . add p-24
... p ≥ 12 . . . . . . . . the solution to the inequality
Answer:
3,630,000,000,000 more (3.93*10^12)
Step-by-step explanation:
2.7*10^11= 270,000,000,000
3.9*10^12= 3,900,000,000,000
3,900,000,000,000-270,000,000,000=3,630,000,000,000
