Answer: (80% , 85%)
Step-by-step explanation:
We know that, confidence interval for population proportion is given by :-
(p-E , p+E)
, where p = sample proportion , E = Margin of error.
Given : Proportion of elementary school teachers who are female = 82%.
The article also states the maximum error of their estimate = 3%.
Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :
(82%-2% , 82%+3%)
= (80% , 85%)
Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)
Answer:
-7.9x+12.3
Step-by-step explanation:
8.9 – 1.4x + (–6.5x) + 3.4
8.9-1.4x-6.5x+3.4
8.9-7.9x+3.4
-7.9x+8.9+3.4
-7.9x+12.3
Sarah's reasoning sounds good to start. She rounded the available bags and their content, so the result, 4000 bracelets, should be really easy to reach.
The exact numbers are 214 bags * 22 bracelets / bag = 4708 bracelets; so as you see, Sarah took care of having room to loose some beads and yet the beads will be enough to make 4000 bracelets.
Of course, if you want to be sure, you should ask Sarah some questions. For example:
1) What proportion of beads are normally deffective?
2) What proportion of beads are normally lost when crafting?
So, if Sarah did not take into account those proportions she migth be overestimating the number of bracelets they can make.
The value of b is -6.
Explanation:
The expression is 
To determine the value of b, we shall solve the expression.
Applying exponent rule, 
, we get,
Applying exponent rule, 
, we have,
The expression is of the form, 
then 
Applying this rule, we get,
Dividing both sides by 4, we have,
Hence, the value of b is -6.
