9514 1404 393
Answer:
20 minutes
Step-by-step explanation:
The trains are separating at the rate of 80 +70 = 150 km/hour. The time required to be 50 km apart is then ...
time = distance/speed = (50 km)/(150 km/h) = 1/3 h = 20 minutes
<span>4.045 x10^-3 in standard notation = 4,045</span>
9514 1404 393
Answer:
B. (x +4)² +(y +5)² = 64
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
Filling in your given values, you have ...
(x -(-4))² +(y -(-5))² = 8²
Simplifying, you get ...
(x +4)² +(y +5)² = 64 . . . . . . . matches choice B
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<em>Additional comment</em>
As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.
Answer:
Step-by-step explanation:
Given that X is the number of months between successive payments
Cumulative distribution function of X is
a) PMF of x would be
b) 
I am not quite sure what the choices are, but the answer
to that problem is:
If p is a positive integer, then p(p+1)(p-1) is always
divisible by “an even number”.
The explanation to this is that whatever number you input
to that equation, the answer will always be an even number. This is due to the
expression p(p+1)(p-1) which always result in a even product.
For example if p=3, then (p+1)(p-1) becomes (4)(2) giving
you a even number.
And if for example if p=2, then (p+1)(p-1) becomes (3)(1)
which gives an odd product, but we still have to multiply this with p therefore
2*3 = 6 which is even product. The outcome is always even number.
<span>Answer: From the choices, select the even number</span>
