Answer: the speed of the commercial jet is 540 mph
the speed of the private airplane is 330 mph
Step-by-step explanation:
Let x represent the speed of the commercial jet and
Let y represent the speed of the private airplane.
It takes the commercial jet 1.1 hours for the flight from Denver to Phoenix.
Distance = speed × time
Therefore, distance covered by the commercial jet from Denver to Phoenix would be
1.1 × x = 1.1x
it takes the private airplane 1.8 hours to cover the same distance. The speed of the commercial jet is 210 miles per hour faster than the speed of the private airplane. It means that
y = x - 210
Distance covered by the private airplane would be
1.8(x - 210) = 1.8x - 378
Since the distance is the same, then
1.8x - 378 = 1.1x
1.8x - 1.1x = 378
0.7x = 378
x = 378/0.7 = 540
y = x - 210 = 540 - 210
y = 330
Answer:
a. 0.9
b. 0.024
c. 0.06
d. 0.2
e. 0.336
Step-by-step explanation:
Since A, B and C are mutually exclusive then P (A U B U C)=P(A)+P(B)+P(C) and P(A∩B∩C)=P(A)*P(B)*P(C).
a.
P (A U B U C)=P(A)+P(B)+P(C)
P (A U B U C)=0.2+0.3+0.4=0.9
b.
P(A∩B∩C)=P(A)*P(B)*P(C)
P(A∩B∩C)=0.2*0.3*0.4=0.024
c.
P(A∩B)=P(A)*P(B)
P(A∩B)=0.2*0.3=0.06
d.
P[(AUB)∩C]=P(AUB)*P(C)
P(AUB)=P(A)+P(B)=0.2+0.3=0.5
P[(AUB)∩C]=0.5*0.4=0.20
e.
P(A')=1-P(A)=1-0.2=0.8
P(B')=1-P(B)=1-0.3=0.7
P(C')=1-P(C)=1-0.4=0.6
P(A'∩B'∩ C')=P(A')*P(B')*P(C')
P(A'∩B'∩ C')=0.8*0.7*0.6=0.336
Answer:
A. $54,550.84
Step-by-step explanation:
48,000(1.0325)^4
48,000(1.136475928)
54,550.84455
Answer:
<u>(2) x </u>
<u> 4</u>
Step-by-step explanation:
Given the sqrt(x), x zero
So, given sqrt(x -4), x -4 0
Now solve for x
x - 4 0
x 4
Answer:
<em>Let's solve your equation step-by-step.</em>
<em>3/2x−2/3x=2</em>
Step 1: Simplify both sides of the equation.
3/2x−2/3x=2
3/2x+−2/3x=2
(3/2x+−2/3x)=2(Combine Like Terms)
5/6x=2
5/6x=2
Step 2: Multiply both sides by 6/5.
(6/5)*(5/6x)=(6/5)*(2)
x=12/5
Step-by-step explanation:
I can only do <em>3/2x−2/3x=2</em>
