Answer:
The 88% confidence interval for the proportion of defectives today is (0.053, 0.123)
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 
.
For this problem, we have that:
88% 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 88% confidence interval for the proportion of defectives today is (0.053, 0.123)
Answer:
y = 22.5 - 0.2t
Step-by-step explanation:
Given;
total number of candle, n = 22.5 ounce
Rate of candle burn, R = 1 ounce per 5 hours 
The amount of candle left = total initial value - amount burnt
let the amount let = y
y = 22.5 - 0.2t
where;
t is the time in which the candle is burnt
Thus, the equation for the amount of candle left is given by;
y = 22.5 - 0.2t
Answer:
C. A horizontal stretch to produce a period of 
and a vertical compression.
Step-by-step explanation:
We are given the parent function as 
It is given that, transformations are applied to the parent function in order to obtain the function 
i.e. 
That is, we see that,
The parent function is stretched horizontally by the factor of 
which gives the function 
.
Further, the function is compressed vertically by the factor of which gives the function .
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period 
.
Since, the period of is , so the period of is 
=
Hence, we get option C is correct.
Answer:
348 degrees
Step-by-step explanation:
29 pi /15 to degrees
To change from radians to degrees, multiply by 180/pi
29 pi /15 * 180/pi
29 * 180/15
348
Area or parallelogram = base * height
Area = 9 units * 2/3 units
Area = 9/1 * 2/3 square units
Area = 18/3 square units
Area = 6 square units
Answer: area = 6 square units
