The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?
A. The letter t occurs less than 26 times on approximately 170 of these pages.
B. The letter t occurs less than 26 times on approximately 15 of these pages.
C. The letter t occurs more than 26 times on approximately 420 of these pages.
D. The letter t occurs more than 26 times on approximately 80 of these pages.
.Answer:
<span>mean = 44 </span>
<span>sd = 18 </span>
<span>that means that "26" is 1 s.d. down, or at the 16th %ile </span>
<span>so, there is a .16 chance that "t" will occur less than 26 times on any single page. </span>
<span>consequently, there is a .84 chance that it will occur more than 26 times on any single page. </span>
<span>Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct? </span>
Answer:
54
Step-by-step explanation:
8*7-12/6=56-2=54
Answer:
x°+2x°+(x-24)°=180°
Step-by-step explanation:
The sum of of the interior angles of all triangles add up to 180°
Adding x°, 2x°, and (x-24)° <em>will</em> equal 180
Therefore, an equation that can be used to solve for the missing angles is: x°+2x°+(x-24)°=180°
Answer:
x < 7
Step-by-step explanation:
7x < 49 (Given)
x < 7 (Divided 7 on both sides)
Answer: 12
Step-by-step explanation:
The formula to find the sample size is given by:-
, where 
is the population standard deviation, 
is the z-value for the 
confidence interval and E is the margin of error .
As per given , we have
Population standard deviation : 
z-value for 95% confidence interval : 
Margin of error : E= 3
Then, the required minimum sample :-
Hence, the required minimum sample size = 12
