Answer:
![y + 2 = \frac{5}{4} (x + 4)](https://tex.z-dn.net/?f=y%20%2B%202%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%28x%20%2B%204%29)
Step-by-step explanation:
1) First, find the slope of the line. Take two points the line intersects and use them for the slope formula,
. We already know the line intersects (-4, -2). Just choose any one of the points you can see the line intersecting (in this case, I chose (0,3)) and plug in its values, too. Then solve:
![\frac{(3)-(-2)}{(0)-(-4)} \\\frac{3+2}{0+4} \\\frac{5}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B%283%29-%28-2%29%7D%7B%280%29-%28-4%29%7D%20%5C%5C%5Cfrac%7B3%2B2%7D%7B0%2B4%7D%20%5C%5C%5Cfrac%7B5%7D%7B4%7D)
So, the slope is
.
2) Now that you have the slope, plug in values for the point-slope formula,
. In order to write a linear equation with it, the
,
, and
have to be substituted for with real values. The
represents the slope - which means that we should place
there. The
and
represent the x and y values of a point - and the questions wants us to use (-4, -2), so substitute -4 for
and -2 for
:
![y-(-2) = \frac{5}{4} (x - (-4))\\y + 2 = \frac{5}{4} (x + 4)\\](https://tex.z-dn.net/?f=y-%28-2%29%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%28x%20-%20%28-4%29%29%5C%5Cy%20%2B%202%20%3D%20%5Cfrac%7B5%7D%7B4%7D%20%28x%20%2B%204%29%5C%5C)
Thus, the answer is
.
Answer:
the straight line will always equal 180 degrees.
180-125-35=20
the answer for the missing degree is 20
Answer:
1 . EF is a secant of OX
2. DF is a chord of OX.
3. AABC is made of tangents to OX
4. ∠DEF is an inscribed angle of OX.
Step-by-step explanation:
Secant is line which intersects a circle from two distant points. Locus is a set of points which is same distance from the center of a circle. Chord is a straight line whose end points lie on circular arc of a circle. Tangent is a line which touches the circle at one point only.
Answer:
1 6611/12500
Step-by-step explanation:
1 is the whole number and 6611/12500 is in simplest form :)
Answer:
a)
b) ![P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668](https://tex.z-dn.net/?f=P%28X%3E%202%29%3D1-P%28X%5Cleq%202%29%3D1-%5B0.0211%2B0.0995%2B0.211%5D%3D0.668)
c)
Step-by-step explanation:
1) Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
2) Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Part a
Part b
![P(X> 2)=1-P(X\leq 2)=1-[P(X=0)+P(X=1)+P(X=2)]](https://tex.z-dn.net/?f=P%28X%3E%202%29%3D1-P%28X%5Cleq%202%29%3D1-%5BP%28X%3D0%29%2BP%28X%3D1%29%2BP%28X%3D2%29%5D)
![P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668](https://tex.z-dn.net/?f=P%28X%3E%202%29%3D1-P%28X%5Cleq%202%29%3D1-%5B0.0211%2B0.0995%2B0.211%5D%3D0.668)
Part c