Answer:
Aircraft carrier speed = 4.97 km/h
Step-by-step explanation:
Given that the time taken by the aircraft = 5 hours
Let the distance covered = X
Speed = V
Time taken by the ship = 7 hours
Let the distance covered = Y
Speed = 8V
Since it is 8 km/h faster than the aircraft carrier.
Using the speed formula
Speed = distance/time
Distance = speed × time
For the aircraft;
X = 5V
For the ship:
Y = 7 × 8V = 56V
Since they are 303km distance apart,
X + Y = 303
5V + 56V = 303
61V = 303
V = 303/61
V = 4.97 km/h
Aircraft carrier speed = 4.97 km/h
Answer:
The percentile that corresponds to an IQ score of 115 is 34.13 %
Step-by-step explanation:
Here, we want to find the percentile that corresponds to an IQ score of 115.
To calculate this percentile, we start with making observations. From the question, we are told that the mean score is 100 while the standard deviation is 15.
Now we want to find the percentile for a score if 115. For a score of 115, we can see that the difference between this score and the mean is 15 which is exactly equal to the standard deviation.
What this means is that the score is within +1 SD of the mean.
For a score of within +1 SD of the mean, the percentile is 34.13%
A score at the mean is the 50th percentile, a score which is 1 SD above or below the mean has a percentile value of 34.13%
Please, I will like you to check the attachment to see how percentiles are valued given the number of standard deviations a particular value is from the mean.
Answer:
t > 30
Step-by-step explanation:
In terms of t, Lena's exercise time can be described by "t is more than 30". In math terms, that's the same as "t is greater than 30":
t > 30
Hi there!
So for #1:
-12>-36-8x
+36 to both sides of the inequality
24>-8x
Divide both sides by negative 8
Note: when you divide by a negative number, the inequality changes direction.
So you end up with -3-3
For the other two, you forgot to include y and t, so I can't help solve those yet.