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: $31.45
Step-by-step explanation:
Given : The price of a pair of pants is $29.95.
The sales tax is 5% = 0.05
Required formula :
Total cost = Price + sales tax percent × Price
Total cost= Price (1+Sales tax percent)
i.e. Total cost of the pair of pants= 29.95 (1+0.05) =29.95(1.05)=31.4475 ≈ 31.45
Hence, the total cost of the pair of pants = $31.45
Answer:
B, 20mph
Step-by-step explanation:
540 miles in 27 hours is 540/27 = 20 miles in 1 hour. This is 20 mph
Answer:
x = 10.3 in
Step-by-step explanation:
To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.
A = 1/2x²
53 = 1/2x²
106 = x²
√106 = x
10.3 = x
The common ratio of the sequence 3, 9, 27, 81 is 3
n to the power of 3
1 to the power of 3 = 3
2 ... = 9
3 ... = 27
4 ... =81
