Step-by-step explanation:
6a
Sn = n/2 [2a + (n-1) d]
(2Sn)/ n = 2a + (n - 1) d
2a + (n-1) d = (2Sn)/n
(n-1) d = (2Sn - 2a)/n
6b
d = ¹/16
7a.
E = (mv²)/2 + mgh
E = m( v²/2 + gh)
E/m = v²/2 + gh
E/m - gh = v²/2
2(E/m - gh) = v²
so
7b.
v = 14 m/s
Participants in a survey were asked the number of hours of television they watch each week. The dot plot shows the distribution
of their
responses.
2 4 6 8 10 12 14 16
Number of Hours
After the data was recorded in the dot plot, another response was found for a participant who watches 30 hours of television each week. How
will this additional data point affect the mean number of hours of television watched each week?
OA.
The effect on the mean number of hours cannot be determined.
OB.
The mean number of hours will increase.
OC.
The mean number of hours will decrease.
OD.
The mean number of hours will remain the same.
c
responses.
2 4 6 8 10 12 14 16
Number of Hours
After the data was recorded in the dot plot, another response was found for a participant who watches 30 hours of television each week. How
will this additional data point affect the mean number of hours of television watched each week?
OA.
The effect on the mean number of hours cannot be determined.
OB.
The mean number of hours will increase.
OC.
The mean number of hours will decrease.
OD.
The mean number of hours will remain the same.
c
1 answer:
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Answer:
Step-by-step explanation:
So lets go over what we know:
There are 3 large pizzas
Each pizza has a addition cost of 2 dollars
The total cost is 42 dollars
We need to find the cost per pizza.
Now lets piece together our equation.
We know that the pizzas equal 42 dollars so we can immediately put 42 on the opposite side of the equal side:
We also know that each of the 3 pizzas cost 2 dollars. This would go on the left side of the equation:
Now, we know x is the amount of pizzas. There are 3 pizzas, or in other words, 3x. We can add this to the left side of the equation, because the 3 pizzas plus the 6 dollars equals the total of 42 dollars:
There are no answers above that look like this, however. This is because we have to factor the left side of the equation.
A factor of both 3 and 6 is 3. So we can factor out 3 and we get:
This looks like the first answer!
Hope this helps! :3