For all values of x less than 7.5 the above inequality satisfies , i.e 
<u>Step-by-step explanation:</u>
Inequalities are the relationships between two expressions which are not equal to one another. The symbols used for inequalities are <, >, ≤, ≥ and ≠.
reads as '7 is greater than x' (or ' x is less than 7', reading from right to left).
reads as ' x is less than or equal to -4' (or '-4 is greater than or equal to x', reading from right to left).
reads as ‘ x is not equal to 5.
Here , we have
{ Dividing both sides by 2. }
∴ For all values of x less than 7.5 the above inequality satisfies.
Here is the work to go with the answer it is hard to completely type out hope it helped!
Answer:
Rate will be $10.68/-
Step-by-step explanation:
For 38 pieces we have price $406
For 1 piece= 406/38 = 10.68
The rate will be $10.68/-
Answer:
a) 
b) The should sample at least 293 small claims.
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 , which means that the answer of question a is z = 1.645.
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.
(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?
They should sample at least n small claims, in which n is found when
. So
The should sample at least 293 small claims.
Answer:
C
Step-by-step explanation:
CB is congruent to AB because the both are 30 degrees
