if there was a group of ten people the probability of two of them being born on the same day of the same week is 1? is this corr
1 answer:
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Answer:
y = - 4x + 3
Step-by-step explanation:
The perpendicular bisector is positioned at the midpoint of AB at right angles.
We require to find the midpoint and slope m of AB
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)
m = =
=
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 4
mid point = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]
Using the coordinates of A and B, then
midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )
Equation of perpendicular in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
with m = - 4
y = - 4x + c ← is the partial equation
To find c substitute (- 1, 7) into the partial equation
Using (- 1, 7), then
7 = 4 + c ⇒ c = 7 - 4 = 3
y = - 4x + 3 ← equation of perpendicular bisector
Answer:
1. 15
2. 75
Step-by-step explanation:
The possible outcomes are an apple (A), orange (O), lemon (L), banana (B), melon (M), and a joker (J), 6 outcomes in total.
1. You could win with 2 jokers in
different ways.
You can list all these ways:
JJA JAJ AJJ
JJO JOJ OJJ
JJL JLJ LJJ
JJB JBJ BJJ
JJM JMJ MJJ
2. You could win with 1 joker in
different ways
You can list all these ways:
JAA JAO JAL JAB JAM
JOA JOO JOL JOB JOM
JLA JLO JLL JLB JLM
JBA JBO JBL JBB JBM
JMA JMO JML JMB JMM
AJA AJO AJL AJB AJM
OJA OJO OJL OJB OJM
LJA LJO LJL LJB LJM
BJA BJO BJL BJB BJM
MJA MJO MJL MJB MJM
AAJ AOJ ALJ ABJ AMJ
OAJ OOJ OLJ OBJ OMJ
LAJ LOJ LLJ LBJ LMJ
BAJ BOJ BLJ BBJ BMJ
MAJ MOJ MLJ MBJ MMJ