1st . 2.23607
2nd 2.82843
3rd .1.73205
Answer:
And we can find this probability with this difference:
And in order to find these probabilities using the normal standard distribution or excel and we got.
So we expect about 99.735% of values between $29 and $89
Step-by-step explanation:
Let X the random variable that represent the amount of Jens monthly phone of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability first in order to find a %
The z score is given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities using the normal standard distribution or excel and we got.
So we expect about 99.735% of values between $29 and $89
Answer: the rate uphill is 6 mph.
The rate downhill is 10 mph
Step-by-step explanation:
Let x represent the rate at which the jogger ran uphill.
The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph
Time = distance/speed
if the jogger can runs 5 miles downhill, then the time taken to run downhill is
5/(x + 4)
At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is
3/x
Since the time is the same, it means that
5/(x + 4) = 3/x
Cross multiplying, it becomes
5 × x = 3(x + 4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 12/2
x = 6
The rate downhill is 6 + 4 = 10 mph
10648, as 0.44 * 24200 is 10648.
Answer:
-12
Step-by-step explanation:
h(x) = ½x - 14 where x = 4:
h(4) = ½(4) - 14
= 2 - 14
= -12