5x + 6 + (-7x - 4)
5x + 6 - 7x - 4
-2x + 2
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9 secs
1) First, we need to convert the mixed number 9 to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u></u>
Applying the above formula, we get
9 =
=
=
2) Now we need to convert into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed =
Plugging the values of Distance and Time taken into the formula, we get
Speed =
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
Answer:
And the deviation would be:
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
And replacing we got:
Now we can find the second moment given by:
And replacing we got:
And the variance would be given by:
And the deviation would be:
Answer:
Question 9: False
Question 10: False
Step-by-step explanation:
The third side is always greater than the other two sides.
<u>Question 9</u>
a = 6, b = 6, c = 5
Since the third side is the smallest, it would not create a triangle.
<u>Question 10</u>
a = 7, b = 2, c = 5
Since the third side is the smallest, it would not create a triangle.
Answer:
4c² + 11cd + 5d
Step-by-step explanation:
(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)
-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)
8c²-4c²+7cd + 4cd + 8d - 3d
= 4c² + 11cd + 5d