Simple Pythagorean theorem, And if you double check Tamara's work she is correct. Therefor B is the correct answer.
a) 
because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.
b) 
because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).
Hmmm idk if you want fractions but, 65/24 or 2 17/24 I think
The answer would be about 89%
to solve this problem first you would have to subtract 4 from 36 to get 32 because you want to know how many she got right first .
so you put 32 over 36 ( the number she got right over the total number of questions ) and n ( the number you don't know yet ) over 100 . that will be the percent .
next all you have to do is cross multiply 32 times 100 and 36n , to get 3200 and 36n .
now you have to divide 3200=36n by 36 so you get n by its self but you have to divide on both sides of the equal sign .
when you divide you will then get 88 with a lot of remainder 8's so you would just round up to 89 .
finally you know n = 89% so she got 89% of her questions right .
Answer: 5,346÷29=5;11.931034
Step-by-step explanation:
