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 answer is D!!
Step-by-step explanation:
Hope this helps!! ;)
Here is a scary story for all!! Enjoy!!
The Ghost Man
Once upon a time there was a family, made up of two young ones and their parents. One day, the parents had to go out to do something important. They had to call someone to take care of their children, so they called a lady who was friends with them. Then the lady arrived and the parents left. She made sure the kids ate and then she put them on their bed to sleep. Their house had two floors and the kids were on the second floor upstairs. Then, she went to sit down on the couch and started to watch tv. She was watching tv when suddenly her phone rang, and she answered the phone. It was an unknown number. She answered it and a creepy voice said, “Have you gone to check on the kids?” When she heard that she automatically hung up. A few minutes later she heard it again, “Have you gone to check on the kids?”. She kept on hearing it for a few times until she started to be a little scared. She called the police as quickly as she could. She told the police that a man who was unknown kept calling her and threatening her. Then the police said that when that man calls again, he will try to locate the man that is calling her. Then the man called again and the police were able to locate the man. A few minutes later, the police called again and he said, “Get out of the house right now because the man that is calling you is on the second floor of your house”. Then the lady remembered that the kids were upstairs so she ran upstairs as fast as she could and it was too late, the kids were gone and there was blood all over their room. The kids were never seen again and lots of police men are still going to look out to find this mysterious man who is going out to get every person he sees. So be careful of what you do because you might hear their cries too.
Hope you like it!! ;)
The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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A cause u gotta buy a new one instead of used or borrowing it
The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
- Opposite = ST = 12 (angle opposite to m<U)
Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
Learn more on SOH CAH TOA here: brainly.com/question/20734777