Answer:
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 11 - 6.02 = 3.98 pounds
The 99% lower confidence bound for the true average weight loss is 3.98 pounds.
This means that we can be 99% sure that the mean weight loss for all obese adults on a low-carb diet is positive.
Answer:
6 km/hr
rested 10 minutes
Step-by-step explanation:
3 km/0ne half hour = 6 km/hr
48 cookies from 2 cups of flour, rate = 48 cookies / 2 cups = 24 cookies / cup
60 cookies from 3 cups of flour, rate = 60 cookies / 3 cups = 20 cookies / cup
If the rates were proportional, the rates would have the same answers.
Therefore the rates are not proportional.
Answer: a) 0.9544996
b) 0.9999366
Step-by-step explanation:
Given : The actual measured resistances of wires produced by company A have a normal probability distribution with mean
ohm and standard deviation
ohm.
Wires manufactured for use in a computer system are specified to have resistances between .12 and .14 ohms.
Let x be the random variable that represents the value of resistance in wires.
Using formula for z-score , 
The z-value at x= 0.12 will be

The z-value at x= 0.14 will be

The p-value : 

Hence, the probability that a randomly selected wire from company A’s production will meet the specifications = 0.9544996
b) Sample size : n= 4
Using formula for z-score , 
The z-value at x= 0.12 will be

The z-value at x= 0.14 will be

The p-value : 

The probability that all four in a randomly selected system will meet the specifications = 0.9999366
Answer:
The correct answer is C.
2x² + 7x - 30 is equal to (2x−5)(x+6)
Step-by-step explanation:
2x² + 7x - 30
= 2x² − 5x + 12x − 30
= (2x−5)(x+6)