Answer:
Hence,
a) The probability that the sample average would be less than 90 pounds is 0.0210.
b) The probability that the sample average would be between 98 and 105 pounds is 0.5045.
c) The probability that the sample average would be less than 112 pounds is 0.9935.
d) The probability that the sample average would be between 93 and 96 pounds is 0.1341.
Step-by-step explanation:
a) 
= P(Z < -2.03) = 0.0210
b )
= P(-0.39 < Z < 1.05) = 0.5045
c ) 
= P(Z < 2.49) = 0.9935
d )
= P( -1.42 < Z < -0.8 )
= 0.2119 - 0.0778 = 0.1341
You have to do Pythagorean theorem:

"a" and "b" are the legs. In this case 7 is a leg and x is a leg
"c" is the hypotenuses, which is 19 here
so...
a = 7
b = x
c = 19
Plug the numbers above into the equation:


Isolate x by subtracting 49 to both sides:


To solve for x you have to take the square root to both sides of the equation:

x = 17.6635
x = 17.7
Hope this helped!
Answer:
It means the Judy's rate to complete the puzzle is 
Step-by-step explanation:
If Judy completes a puzzle by herself, it takes her 3 hours.
Working with Sal, it only takes them 2 hours
We have been given the rates of time taken by Judy and Sal to complete a puzzle.
We can see from our given table that Sal's rate is r. We are told that Judy completes a puzzle by herself, it takes her 3 hours. working with Sal, it only takes them 2 hours.
It is given that Judy completes a puzzle by herself, it takes her 3 hours.
so part of puzzle completed by Judy in one hour would be
Therefore, the part of puzzle completed by Judy in one hour is 
Answer:
5.625
Step-by-step explanation:
45 ÷ 8 = 5.625
12748 rounded to the nearest thousand is 13000