Answer:
(A)74
Explanation:
Let her average score on the last two tests = x.
The six scores will now be: 82,78,87,73, x and x.
Since the average score for her first six chemistry tests = 78
![\frac{82+78+87+73+x+x}{6}=78](https://tex.z-dn.net/?f=%5Cfrac%7B82%2B78%2B87%2B73%2Bx%2Bx%7D%7B6%7D%3D78)
We then solve for x.
![\begin{gathered} 320+2x=78\times6 \\ 320+2x=468 \\ 2x=468-320 \\ 2x=148 \\ x=\frac{148}{2} \\ x=74 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20320%2B2x%3D78%5Ctimes6%20%5C%5C%20320%2B2x%3D468%20%5C%5C%202x%3D468-320%20%5C%5C%202x%3D148%20%5C%5C%20x%3D%5Cfrac%7B148%7D%7B2%7D%20%5C%5C%20x%3D74%20%5Cend%7Bgathered%7D)
Her average score for the last two tests is 74.
Answer:
5 cm
Step-by-step explanation:
Answer:
See Explanation
Step-by-step explanation:
Given
![Initial = 8](https://tex.z-dn.net/?f=Initial%20%3D%208)
(every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:
![y = Initial\ Figurines + Increment * x](https://tex.z-dn.net/?f=y%20%3D%20Initial%5C%20Figurines%20%2B%20Increment%20%2A%20x)
This gives:
![y = 8 + 3 * x](https://tex.z-dn.net/?f=y%20%3D%208%20%2B%203%20%2A%20x)
![y = 8 + 3x](https://tex.z-dn.net/?f=y%20%3D%208%20%2B%203x)
Reorder
![y = 3x + 8](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%208)
A linear equation is of the form
![y = mx + b](https://tex.z-dn.net/?f=y%20%3D%20mx%20%2B%20b)
By comparison,
is equivalent to ![y = 3x + 8](https://tex.z-dn.net/?f=y%20%3D%203x%20%2B%208)
<em>Hence, we can conclude that the situation is linear</em>
Answer:
12 holes
Step-by-step explanation:
multiply 4 by 3 which equals 12
The probability that a flight that departs on schedule also arrives on schedule
83%×68%=56%