Answer:
0.24 its opposite value is - 0.24
1/4 its opposite value is -1/4
0
-5 its opposite value is 5
240 which is positive and its opposite value is -240
Step-by-step explanation:
hey
from the given statement we can see that question demand is about the opposite values. so
as our first value is 0.24 its opposite value is - 0.24
then move on next value is 1/4
its opposite value is -1/4
0 is a neutral value it neither positive or negative
move on to the next value which is -5 who is already negative
so we take a positive value that is 5
again move to 240 which is positive and its opposite value is -240
Hope it will be brainliest to you
Answer:

Step-by-step explanation:
Given the mean is 3.2, standard deviation is 0.8 and the sample size is 64.
-We calculate the probability of a mean of 3.4 as follows:
#First determine the z-value:

#We then determine the corresponding probability on the z tables:

Hence, the probability of obtaining a sample mean this large or larger is 0.0228
The required diagram is attached in the picture below :
Answer:
15.05 miles
2 :09:12
5 hours 19 minutes 18 seconds
Step-by-step explanation:
Given :
28/4/18:
Time : 1 :03 : 25
Fastest mile = 02 : 25
Distance = 15.05 miles
03/5/18:
Time : 2:06: 41
Fastest mile = 02 : 53
Distance = 28.70 miles
08/5/18:
Time : 2 :09:12
Fastest mile = 02 : 45
Distance = 26.39 miles2
1.) shortest distance cycled :
From the data:
15.05 < 26.39 < 28.70
Shortest distance cycled = 15.05 miles
The longest the cycled:
1 :03 : 25 < 2:06: 41 < 2 :09:12
Longest = 2 :09:12
Total cycling time :
1 :03 : 25 + 2:06: 41 + 2 :09:12
(1 + 2 + 2)= 5 hrs
(03 + 06+ 09) = 18 minutes
(25 + 41 + 12) = 78 seconds = 1 minute 18 seconds
18 minutes + 1 minute = 19 minutes
Total = 5 hours 19 minutes 18 seconds
Answer:
y = 2(x-3)^2 - 2
Step-by-step explanation:
y = 2x^2 - 12x + 16
y = 2(x^2 - 6x + 8)
y = 2(x^2 - 6x +8 +1 -1) you "complete the square" by bringing the last term (8) up to "half of the middle co-efficient squared". Middle co-efficient is -6, half is -3, squared is 9. To get from 8 to 9 you must add 1 (+1), but if you add 1 you must subtract 1 (-1) so that you don't change the overall value of inside the bracket
y = 2(x^2 - 6x +9) - 2 (bring the -1 outside of the brackets)
y = 2(x-3)^2 - 2