Answer:
13
Step-by-step explanation:
156/12=13
Answer: The answer is ![\textup{W}=70+30x.](https://tex.z-dn.net/?f=%5Ctextup%7BW%7D%3D70%2B30x.)
Step-by-step explanation: Given that Rei is barricading a door to stop a horde of zombies by satcking boxes of books on a table in front of the door.
The weight of each box is 30 kilograms and the weight of the table with 8 boxes on the top is 310 kilograms.
So, if 'g' denotes the weight of the table alone, then we have
![\textup{g}+8\times 30=310\\\\\Rightarrow \textup{g}+240=310\\\\\Rightarrow \textup{g}=310-240\\\\\Rightarrow \textup{g}=70.](https://tex.z-dn.net/?f=%5Ctextup%7Bg%7D%2B8%5Ctimes%2030%3D310%5C%5C%5C%5C%5CRightarrow%20%5Ctextup%7Bg%7D%2B240%3D310%5C%5C%5C%5C%5CRightarrow%20%5Ctextup%7Bg%7D%3D310-240%5C%5C%5C%5C%5CRightarrow%20%5Ctextup%7Bg%7D%3D70.)
Therefore, the weight of the table without boxes is 70 kilograms.
Now, if 'W' is the total weight of the barricade, then it can be written as a function of 'x', the number of boxes Rei stacks on the table. The expression is as follows -
![\textup{total weight of the barricade}=\textup{weight of the table alone}+30\times \textup{number of boxes}.](https://tex.z-dn.net/?f=%5Ctextup%7Btotal%20weight%20of%20the%20barricade%7D%3D%5Ctextup%7Bweight%20of%20the%20table%20alone%7D%2B30%5Ctimes%20%5Ctextup%7Bnumber%20of%20boxes%7D.)
Thus, the required function is
![\textup{W}=70+30x.](https://tex.z-dn.net/?f=%5Ctextup%7BW%7D%3D70%2B30x.)
Answer:
D. Sarah does not have convincing statistical evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.
Step-by-step explanation:
The population mean, μ is given as 87
This population value is used to state the Null hypothesis ;
H0 : μ = 87
The alternative hypothesis is the opposite of the Null ; and hence, claims that the mean is different from the population mean, μ ≠ 87
H1: μ ≠ 87
The Decison level :
When Pvalue < α ; We reject the Null otherwise we fail to reject the null
The given p and α value :
P-value = 0.0752
α = 0.05
0.075 > 0.05 ; Hence ;
Pvalue > α ; We fail to reject the Null
We can thus conclude that there is not enough evidence to conclude that the population mean number of days for the plants to produce fruit is different from 87 days.