Hey there,
The word problem is as follows:
- t multiplied by 52 is the same as 349
In numbers this would mean t x 52 = 349. Now to solve for t we would do the opposite of multiplication which is is division.
So...
- 349 ÷ 52 = t and t = 6
The answer would be t is equal to 6 and or 6.712
Hope I helped,
Amna
Multiply the numerator and denominator by 4+5i
=[(2+3i)(4+5i)]/[(4-5i)(4+5i)]
=[(8-15)+(12+10)i] / [16+25] <span>= [ -7 + 22i ] / [41]
= (-7/41) + (22/41)i </span>
Answer:
a) 0.0025
b) 0.9975
c) 23.03 minutes
d) 23.03 minutes
Step-by-step explanation:
Let X be the random variable that measures the time waited for a taxi.
If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is
a)
1 hour = 60 minutes, so the probability that you wait longer than one hour is
b)
Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes
c)
We want x so that
P(X>x)=0.1
d)
We want P(X<x)=0.9
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8