Answer:
95% (two-sided) confidence interval for the proportion of all dies that pass the probe is between 0.470 and 0.574
Step-by-step explanation:
Confidence interval can be calculated as p±ME where
- p is the sample proportion of dies that pass the probe
- ME is the margin of error
and margin of error (ME) around the mean can be found using the formula
ME=
where
- z is the corresponding statistic in 95% confidence level (1.96)
- p is the sample proportion (
)
- N is the sample size (356)
Using the numbers in the formula we get
ME=
≈0.052
then the 95% confidence interval would be 0.522±0.052
Answer:
The range of the function is represented by
.
Step-by-step explanation:
Let be
, for
. As we notice that
is an inyective function, that is, the inexistence of two or more domain element with the same image, with a monotone behavior, we can obtain the bounds of the range of the function by evaluating the expression:
Lower bound (
)


Upper bound (
)


The range of the function is represented by ![Ran\{f(x)\} = (-15, 12]](https://tex.z-dn.net/?f=Ran%5C%7Bf%28x%29%5C%7D%20%3D%20%28-15%2C%2012%5D)
E: 2.4
F 2.8
hope that helps, each half point is going up by .1
Answer:
Option 3 is the right one -7+(19+5)=(-7+19)+5