Write the slope-intercept form of the equation that passes through the point (1,5) and is perpendicular to the line y =-x + 3
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Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.
The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:
As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:
As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
The given linear system is:
The question is asking to solve using elimination. When eliminating, you can either eliminate x or y. In this system, y is much easier to eliminate. The y variable in both equations are 7y. To eliminate, one of them has to be negative, so multiply one of the equations by -1.
I will be multiplying the second equation by -1.
Rewrite the system:
Subtract:
Lastly, you need to leave the variable x alone. The variable is currently -6x or -6 times x. To remove it, you need to do the opposite of it, which is dividing by -6.
Now that you have the value of x, substitute it into one of the equations to find y. I will be substituting it into the first equation.
Open the parentheses and multiply:
Move 5 to the other side to leave the variable alone:
You will be subtracting since you're "removing" it by doing the opposite of it.
Lastly, divide both sides by 7 to leave y alone.
The answer is (1, 4).