If you are solving for y the anser is 64
I'm pretty sure it's: 5x + 2y = –14
Answer:
x=0.996
Step-by-step explanation:

To take natural log ln , we need to get e^2x alone
Subtract 5 on both sides

Now we divide both sides by 3

Now we take 'ln' on both sides

As per log property we can move exponent 2x before ln

The value of ln(e) = 1

Divide both sides by 2

x= 0.996215082
Round to nearest thousandth
x=0.996
Answer:
a) 
b) 
c) 
d) 
And we can find this probability with this formula from the Bayes theorem:
Step-by-step explanation:
For this case we assume that the random variable X follows this distribution:

Part a
The probability density function is given by the following expression:


Part b
We want this probability:

And we can use the cumulative distribution function given by:

And replacing we got:

Part c
We want this probability:

And we can use the CDF again and we have:

Part d
We want this conditional probabilty:

And we can find this probability with this formula from the Bayes theorem:

Answer:
The best prediction for the number of times a 4 will be drawn from the pile is:
125
Step-by-step explanation:
It is given that:
A set of cards contains cards numbered 1 – 8.
So, the theoretical probability that 4 comes up is:
Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )
Hence, Theoretical Probability that 4 is drawn=1/8
Now, out of 1000 trials the best prediction of number of times 4 is drawn is:
(The probability of drawing 4)×(Number of experiments or trials)
=(1/8)×1000
=125