Answer:
3/5
Step-by-step explanation:y
put in slop intersect form y=3/5x + 2/5 = 3/5
Answer:
3 31/36 inches
Step-by-step explanation:
11 1/9 = 100/9
7 1/4 = 29/4
100/9 = 400/36
29/4 = 261/36
400/36 - 261/36 = 139/36
139/36 = 3 31/36
Answer:
B
Step-by-step explanation:
Perpendicular lines have a reciprocal slope with the opposite sign. The y-intercept does not matter
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
Answer:
Step-by-step explanation:
In this binomial probability case, the success is to pick a burrito with hot peppers, there are 7 out of 17, the probability is p=7/17=0.4118. The formula is
Where n is the number of burritos taken at random, k is the number of success (burrito with hot peppers), p is the probability of success. 
denotes the number of combinations and its formula is:
At least two burritos have hot peppers means having two or three burritos, these two cases are calculated and sum to get the probability of at least two burritos that have hot peppers.
Round to three decimal places: P=0.369
