Answer:
764 US Fluid Ounce
Step-by-step explanation:
Refrence Sheet Used: https://media.studyisland.com/pics/FL8thgradereferencesheet.html
27 US Liquid Quarts = 864 US Fluid Ounces, - 100 US Fluid Ounces = 764
The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
<h3 /><h3>What are inequalities?</h3>
Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >
For instance a < b is a form of inequality.
<h3>What is a number line?</h3>
A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
Learn more on inequality here: brainly.com/question/24372553
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Answer:
21 / 143
Step-by-step explanation:
Given that:
Number of Eastern conference reps = 8
Number of western conference rep = 7
Probability of selecting 3 from Eastern reps and 2 from western reps
Probability = required outcome / Total possible outcomes
Total possible outcomes:
selection to be made = 3+ 2 = 5
Total Number of players = 8 +7 = 15
Total possible outcomes
Using combination formula :
nCr = n! / (n-r)!r!
15C5 = 15! / 10!5! = (15 * 14 * 13 * 12 * 11) / (5*4'3*2*1) = 360360 / 120 = 3003
Total possible outcomes = 3003
Required outcome :
8C3 * 7C2
8C3 = 56 ; 7C2 = 21
8C3 * 7C2 = 56 * 21 = 1176
required outcome / Total possible outcomes
= 1176 / 3003
= 21 / 143
Answer:
answer = 12.87 km/h
Step-by-step explanation:
Given
Ship A is sailing east at 25 km/h = 
ship B is sailing north at 20 km/h =
here x and y are the sailing at t = 4 : 00 pm for ship A and B respectively
so we get x = 4 ×25 =100 km/h
y = 4× 20 = 80 km/h
let z is the distance between the ships, we need to find
at t = 4 hr
At noon, ship A is 130 km west of ship B (12:00 pm)
so equation will be


derivative first equation w . r. to t we get



![\frac{dz}{dt} =\frac{1}{z}[(x -130)\frac{dx}{dt} +y\frac{dy}{dt}]](https://tex.z-dn.net/?f=%5Cfrac%7Bdz%7D%7Bdt%7D%20%3D%5Cfrac%7B1%7D%7Bz%7D%5B%28x%20-130%29%5Cfrac%7Bdx%7D%7Bdt%7D%20%2By%5Cfrac%7Bdy%7D%7Bdt%7D%5D)


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