Answer:
y = 5x + 3
Step-by-step explanation:
The answer that belongs in the ? is 5.
answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
Answer:
A) Pd = 13/28
B) Pd = 7/16
Step-by-step explanation:
Given;
Drama = 2
Comedy = 1
Science fiction = 5
Total = 8
a) The probability of selectingat least one drama movie Pd;
Pd = 1 - Pd'
Without replacement;
Probability of not selecting a drama movie Pd' is;
Pd' = 6/8 × 5/7 = 15/28
Pd = 1 - 15/28
Pd = 13/28
b) with replacement;
Probability of not selecting a drama movie Pd' is;
Pd' = 6/8 × 6/8 = 9/16
Pd = 1 - 9/16
Pd = 7/16
You would take the points (x1,y1) and add them into the equation y-y1=m(x-x1). In this equation m is the slope and that equals -4
