Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
__
The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
_____
<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
Answer:
The expectation the instructor to send each day
E(X) = 3.65
Step-by-step explanation:
Given data x : 0 1 2 3 4 5
P(X=x) : 0.05 0.05 0.1 0.1 0.4 0.3
The given data satisfy the two conditions
I) Given all probabilities are p₁(x) ≥0
ii) sum of all probabilities is equal to one
0.05 + 0.05 + 0.1 + 0.1 + 0.4 +0.3 =1
Therefore given data is discrete probability distribution
<u>Expectation</u> :-
suppose a random variable X assumes the values 
with respective probabilities 
, then the Expectation or Expected value of X , denoted by E(X) = ∑pi xi
on simplification, we get
E(X) = 3.65
Velocity=distance/time
a=5/(31*60+15)=5/1875=1/375
k=21.1/(2*3600+11*60+52.5)=21.1/7912.5=1/375
a=k
The both ran at the same speed.
(1km/375s)(3600s/h)=9.6km/h
Answer:
2x+3y=3
x=3-3y/2
3x+4y=5
x=5-4y/3
Step-by-step explanation:
Answer:
The answer to your question is the letter C
Step-by-step explanation:
Data
a = 4.5 u
b = 5.8 u
c = 3 u
Process
1.- Calculate the volume of the rectangular prisms
Formula
Volume = a x a x c
Substitution
Volume = 4.5 x 4.5 x 3
Result
Volume = 60.75 u³
But there are two rectangular prism
Total volume = 2 x 60.75
= 121.5 u³
2.- Calculate the volume of the triangles
Formula
Volume = base x width x height
Substitution
Volume = 5.8 x 3 x 4.5
Result
Volume = 78.3 u³
3.- Total volume
Volume = 121.5 + 78.3
= 199.8 u³
