Answer:
-4m-17
Step-by-step explanation:
g(2m+7) = -2*(2m+7) -3
= -4m -14 -3
= -4m -17
Let's imagine we enclosed the entire shape in a 15 inch wide, 21 inch tall rectangle, area 315 sq inches.
From that rectangle we have to take away the 3x6 bottom left corner, and a strip 21-6=15 inches long and 3 inches wide on the right.
A = 15×21 - 3×6 - 3×15 = 315 - 63 = 252 sq in
Answer: D. 252 inches squared, last choice
Simple..
there is a major difference between 6z and

6z means: 6 times z
and

means: z to the power of 6(z*z*z*z*z*z)
An example...
make z=2...plug n chug..
6z----> 6(2)=12
and

--->

=64
As you can see..there is a
major difference.
Thus, your answer.
Answer:
0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Step-by-step explanation:
(a) What is the probability that a randomly chosen doctor is in favor of the vaccine
75% of 115/250 = 0.46(German).
60% of 65/250 = 0.26(French).
65% of 70/250 = 0.28(Englishmen). So

0.683 = 68.3% probability that a randomly chosen doctor is in favor of the vaccine
Answer:
The cut-off dollar amount is $328.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean cost of $328, standard deviation of $82.
This means that 
If you want to be in the bottom 50%, what will be the cut-off dollar amount?
The 50th percentile, which is X when Z has a pvalue of 0.5. So X when Z = 0.




The cut-off dollar amount is $328.