Answer:
Percentage Rate=6%
Step-by-step explanation:
Total borrowed=$2,100
Time=3 years
Rate=?
Total amount owed after 3 years= total borrowed + simple interest
$2,478=$2,100 + x
X=$2,478 - $2,100
=$378
The simple interest=$378
Simple interest=P×R×T
Where,
P= principal=$2,100
R=Rate=?
T=Time=3 years
Simple interest=$378
Simple interest=P×R×T/100
$378=$2,100×R×3/100
$378=$6,300R/100
$378=$63R
R=$378/$63
R=6
Therefore,
Rate=6%
Running 2 miles at 8:15 per mile takes 16:30 minutes.
Running 3 miles at 7:12 per mile takes 21:36 minutes.
The total running time is 16:30 + 21:36 = 38:06 minutes. That length of time after 6:52 am is 7:30:06 am.
You get home for breakfast at 6 seconds past 7:30 am.
To solve this problem, we can use the z statistic to find
for the probability. The formula for z score is:
z = (x – u) / s
Where,
u = the sample mean = 68
s = standard deviation of the samples = 12
x = sample value = 70
In this case, what is asked is the probability that the
sample mean is larger than 70, therefore this corresponds to the right of z on
the graph of normal distribution.
z = (70 – 68) / 12
z = 2 / 12
z = 0.17
Therefore finding for P at z ≥ 0.17 using the standard
distribution tables:
P (z = 0.17) = 0.5675
But this is not the answer yet since this is the P to the
left of z. Therefore the correct one is:
P (z ≥ 0.17) = 1 - 0.5675
P (z ≥ 0.17) = 0.4325 = 43.25%
<span>The probability that the sample mean is larger than 70 is
43.25%</span>
Answer:
No the factor of x^2 + 1 = n x^2 + 1
Step-by-step explanation:
After Rob has lost, he will have 120 dollars. We can work this out by
establishing that if Rob had 280 dollars before the final competition,
and the ration at the point was 4 to 7, then this means that Tom must
have had 4/7 of what Rob had, so x=4/7 * 280, x = 4 x 40, x = 160. This
means that Tom had 160 dollars and Rob had 280. Adding this together
they have a combined 440 dollars, but the ratio is now 8:3. There are 11
parts to the ration, due to the fact that 8 and 3 is 11, so we need to
work out one part of the ratio - 440 divided by 11 equals forty. This
means that Tom has 8 multiplied by 40 (320 dollars) and Rob has 40
multiplied by 3, so 120 dollars.
