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:
The slope of the line is 
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.
Therefore, our slope is .
Answer:
-8
Step-by-step explanation:
let the other number be x
according to the question equation is
-12x = 96
x = 96/-12
x = -8
Answer:
45 rows will need to be built to hold 1350 cars. (for 30 spaces a row)
19 fewer rows are needed if the rows fit 50 cars (for the 50 spaces a row)
Step-by-step explanation:
for the first question divide 1350 by 30 and the second divide 1350 by 50, good luck!
The answer is going 5 - 2x = 3
