To answer this question, use permutation since the order of the letter matters. There are 7 letters and only 4 are to be used for the code. This is a permutation of 7 taken 4 (7P4) which is equal to 840. Thus, the sample space is 840.
For the next questions, there are 3 vowels for as the first letter, only 6 letters are available for the second, 5 on the next, and 4 on the last. Multiplying these numbers give 360. To solve for probability, divide this number with the sample space. Thus, the answer is 3/7.
Answer:
Step-by-step explanation:
hello :
h(x) = x² – 5x + 7
h(-2) = (-2)² – 5(-2) + 7 =4+10+7 =21
h(-5) = (-5)² – 5(-5) + 7= 25+25+7 =57
h(-8) = (-8)² – 5(-8) + 7 = 64+40+7=111
Answer:
Step-by-step explanation:
Assuming this is in degrees, it is actually 0.
Turn both equations into slope-intercept form [ y = mx + b ].
x + 3y = 3
~Subtract x to both sides
3y = 3 - x
~Divide 3 to everything
y = 1 - x/3
~Reorder
y = -1/3x + 1
4x + 3y = -6
~Subtract 4x to both sides
3y = -6 - 4x
~Divide 3 to everything
y = -2 - 4x/3
~Reorder
y = -4/3x - 2
Graph of the equations will be shown below. Note that the solution of graphing two equations will be where both equations intersect. Both lines intersect at (-3, 2), hence making that the solution.
Best of Luck!
Answer:
5/6
Step-by-step explanation:
rise over run
50/60= 5/6