Hi!
The GCM of 14 and 28 is 7. 7 goes into 14 2 times, and goes into 28 4 times. So...
2/4
Which can be simplified further to 1/2
The answer is 1/2
Hope this helps! :)
Y=4
the answer is y=4 because slope is 0 reaulting in y=4
Answer:
0.0114
Step-by-step explanation:
(a) What is the probability of a fatal accident over a lifetime?
Suppose A be the event of a fatal accident occurring in a single trip.
Given that:
P(1 single auto trip in the United States result in a fatality) = P(A)
Then;
P(A) = 1/4011000
P(A) = 2.493 × 10⁻⁷
Now;
P(1 single auto trip in the United States NOT resulting in a fatality) is:
P(
) = 1 - P(A)
P(
) = 1 - 2.493 × 10⁻⁷
P(
) = 0.9999997507
However, P(fatal accident over a lifetime) = P(at least 1 fatal accident in lifetime i.e. 46000 trips)
= 1 - P(NO fatal accidents in 46000 trips)
Similarly,
P(No fatal accidents over a lifetime) = P(No fatal accident in the 46000 trips) = P(No fatality on the 1st trip and No fatality on the 2nd trip ... and no fatality on the 45999 trip and no fatality on the 46000 trip)
= ![[P(\overline A)] ^{46000} \ \ \ (since \ trips \ are \ independent \ events)](https://tex.z-dn.net/?f=%5BP%28%5Coverline%20A%29%5D%20%5E%7B46000%7D%20%20%5C%20%5C%20%5C%20%20%28since%20%5C%20%20trips%20%5C%20are%20%5C%20independent%20%5C%20events%29)
= ![[0.9999997507]^{46000}](https://tex.z-dn.net/?f=%5B0.9999997507%5D%5E%7B46000%7D)
= 0.9885977032
Finally;
P(fatal accident over a lifetime) = 1 - 0.9885977032
P(fatal accident over a lifetime) = 0.0114022968
P(fatal accident over a lifetime) ≅ 0.0114
keeping in mind that standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
![\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})~\hspace{10em} slope = m\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-3)=6[x-(-1)]\implies y+3=6(x+1) \\\\\\ y+3=6x+6\implies y=6x+3\implies -6x+y=3\implies 6x-y=-3](https://tex.z-dn.net/?f=%5Cbf%20%28%5Cstackrel%7Bx_1%7D%7B-1%7D~%2C~%5Cstackrel%7By_1%7D%7B-3%7D%29~%5Chspace%7B10em%7D%20slope%20%3D%20m%5Cimplies%206%20%5C%5C%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7B%7Cc%7Cll%7D%20%5Ccline%7B1-1%7D%20%5Ctextit%7Bpoint-slope%20form%7D%5C%5C%20%5Ccline%7B1-1%7D%20%5C%5C%20y-y_1%3Dm%28x-x_1%29%20%5C%5C%5C%5C%20%5Ccline%7B1-1%7D%20%5Cend%7Barray%7D%5Cimplies%20y-%28-3%29%3D6%5Bx-%28-1%29%5D%5Cimplies%20y%2B3%3D6%28x%2B1%29%20%5C%5C%5C%5C%5C%5C%20y%2B3%3D6x%2B6%5Cimplies%20y%3D6x%2B3%5Cimplies%20-6x%2By%3D3%5Cimplies%206x-y%3D-3)
Answer:
The graph that represent direct variation in the attached figure
Step-by-step explanation:
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <em>and the line passes through the origin
</em>
The graph that represent direct variation in the attached figure