Answer: First, Third and Fourth options are correct.
Step-by-step explanation:
As we know that Rational numbers are those numbers which can be positive integers, negative integers and can be written in the form of p/q i.e. in fractions.
So, it is true for positive integers
It is true for negative integers.
It is true for fractions.
Hence, First, Third and Fourth options are correct.
STEPS TO GET THE CORRECT ANSWER:
First write your question like this:
{ ( [9x] [-31/8] ) - ( [7x] [+13/8] ) }
2: You need to subtract 9x and 7x from (9x-31/8)-(7x+13/8) you get 2x. So now you know that the answer has 2x. Eleminate A) and D).
3: Then need to subtract -31/8 from +13/8. You get -11/2.
Turn -11/2 into a mixed number you will get -5 1/2.
4: Put 2x and -5 1/2 together and you would get 2x-5 1/2
But answer C.) is closest to 2x-5 1/2 so the answer is
ANSWER: C.) 2x-4 1/2
Answer: 0.8461
Step-by-step explanation:
Given : 
Let x be the random variable that represents the cost for the hospital emergency room visit.
We assume that cost for the hospital emergency room visit is normally distributed .
z-score for x=1000 ,
![z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B1000-1400%7D%7B392%7D%5Capprox-1.02%5C%20%5C%20%5C%20%5B%5Cbecause%20z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5D)
Using z-value table , we have
P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642
=0.8461358≈0.8461 [Rounded nearest 4 decimal places]
Hence, the probability that the cost will be more than $1000 = 0.8461
Let x be 1st and y the 2nd number in the solution:
x=y+21
.2x=y
x=.2x+21
.8x=21
x=26.25 larger number
y=5.25 smaller number
