Answer:
1 hour and 20 minutes
Step-by-step explanation:
6mph= 6 miles every hour
1 mile = 10 minutes
2 miles = 20 minutes
8 miles = 1 hour and 20 minutes
Answer:
y=4x/3+9/3
Step-by-step explanation:
slop is 4x/3
and the point is 3,6
so y-6 = 4x/3(x-3)
sove the you will have y=4x/3+9/3
Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8
= 67
Answer:
A) 9 and 15.
Step-by-step explanation:
First, let's see what each number's factor is:
A)
9 : 1, 3 & 9
15 : 1, 3, 5 & 15
B)
6 : 1, 2, 3 & 6
10 : 1, 2, 5 & 10
C)
8 : 1, 2, 4 & 8
12 : 1, 2, 3, 4, 6 & 12
Therefore, The number 3 is a common factor of A) 9 and 15.
___
Answer:
a) 0.96
b) 0.016
c) 0.018
d) 0.982
e) x = 2
Step-by-step explanation:
We are given with the Probability density function f(x)= 2/x^3 where x > 1.
<em>Firstly we will calculate the general probability that of P(a < X < b) </em>
P(a < X < b) =
=
=
{ Because
}
=
=
=
=
a) Now P(X < 5) = P(1 < X < 5) {because x > 1 }
Comparing with general probability we get,
P(1 < X < 5) =
=
= 0.96 .
b) P(X > 8) = P(8 < X < ∞) = 1/
- 1/∞ = 1/64 - 0 = 0.016
c) P(6 < X < 10) =
=
= 0.018 .
d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)
=
+ (1/
- 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982
e) We have to find x such that P(X < x) = 0.75 ;
⇒ P(1 < X < x) = 0.75
⇒
= 0.75
⇒
= 1 - 0.75 = 0.25
⇒
=
⇒
= 4 ⇒ x =
Therefore, value of x such that P(X < x) = 0.75 is 2.