Equation of the line tangent to 

The US government is interested in understanding what predicts death rates. They have a set of data that includes the number of deaths in each state, the number of deaths resulting from vehicle accidents (VEHICLE), the number of people dying from diabetes (DIABETES), the number of deaths related to the flu (FLU) and the number of homicide deaths (HOMICIDE).
Your run a regression to predict deaths and get the following output: 
At alpha=0.05, what is indicated by the significance F in this problem? 
A. The regression model does not significantly predict deaths. 
B. The regression model significantly predicts deaths. 
C. Two of the four independent variables significantly predict deaths. 
D. Three of the four independent variables significantly predict deaths. 
$\begin{array}{|cc|}\hline \text{Multiple R}& 0.874642613\\ \text{R Square}& 0.764999351\\ \text{Adjusted R Square}& 0.744564512\\ \text{Standart Error}& 62.97881926\\ \text{Obsevations}& 51\\ \hline\end{array}$

$\text{ANOVA}$

$\begin{array}{|cccccc|}\hline & df& SS& MS& F& SignificanceF\\ \text{Regression}& 4& \mathrm{593934..928}& 148483.732& 37.43603514& 6.36772F-14\\ \text{Residual}& 46& 182451.2571?3966ю331676& & & \\ \text{Total}& 50& 776386.1851& & & \\ \hline\end{array}$

$\begin{array}{|ccccccc|}\hline & Coefficients& StandartError& tStart& P-value& Lower95\mathrm{\%}& Upper95\mathrm{\%}\\ \text{Intecept}& 240.8002285& 51.13392961& 4.709206398& 2.31605E-05& 137.8729666& 343.7274903\\ \text{VEHICLE}& 3.042782981& 1.582326221& 1.922980824& 0.06068593& -0.142274506& 6.227840468\\ \text{DIABETES}& 11.24212265& 1.659066489& 6.776173665& 1.97533E-08& 7.902595017& 14.58165028\\ \text{FLU}& 12.32304584& 2.057012215& 5.990749957& \mathrm{2..9897}E-07& 8.182495007& 16.46359668\\ \text{HOMICIDE}& 1.362128456& 2.113562817& 0.644470297& 0.522471501& -2.892252837& 5.616509749\\ \hline\end{array}$

${\mathrm{End}}_{\mathrm{ℝ}\left[x\right]}\left(M\right)$ where ${\displaystyle M=\frac{\mathbb{R}\left[x\right]}{(x^2+1)}}$ is a module over the ring ${\displaystyle \mathbb{R}\left[x\right]}$

I need solution of Q2 of given assignment

Write in words how to read each of the following:

{x∈I ├|0<x<1┤}

{x∈R├|x≤0 or x≥1┤}

A capacitor with a capacity of C1 = 100 pF is charged to a potential difference of U1 = 90 V.
The capacitor is disconnected from the source and connected in parallel with another
capacitor, uncharged. Finite potential difference on capacitors
U2 = 30 V.
1 Determine the capacity of the second capacitor.
2 Find the change in the energy of the system.

Let K be the number of heads in 200 flips of a coin. The null hypothesis H is that the coin is fair. Devise significance tests with the folowng properties.
Note: Your answers below must be integers
a) The signficance level is ${\displaystyle \alpha }$ =0.08 and the rejection set R has the form $\{|K-E\left[K\right]|>c\}.$
Use the Central Limit theorem to find the accsptane ce set A.
$A=\{\dots ,\dots ,\dots \}$
b) Now tho significance level is ${\displaystyle \alpha }$ = 0.016 and the rejection set R has the form $\{K>c^1\}$
Again, use tho Central Limit Theorem to find tho accaptance set A.
$A=\{\dots ,\dots ,\dots \}$