Answer:
8.91
Step-by-step explanation:
Given: 0.95 = log x,
we can conclude that:
0.95 log x
10 = 10
0.95
which in turn is equivalent to x = 10 whose value is 8.91
2^4-1 so 2•2•2•2=16 and 16-1 is 15
Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as


Next we obtain the critical value of
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for
instead of that of
is because
represents the area under the normal curve where the confidence level 1 -
(90%) did not cover which include both the left and right tail while
is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as

substituting values


The 90% confidence level interval is mathematically represented as

substituting values



Answer:
360 miles
Step-by-step explanation:
When the second car catches up with the first car they will have travelled the same distance which we call x miles.
Speed = distance / time
For first car 60 = x / t where t = time taken
giving x = 60t
for second car 90 = x / (t - 2)
giving x = 90t - 180
So equating these 2 equations
60t = 90t - 180
30t = 180
t = 6 hours
So x the distance = 60t = 360 miles answer