Answer:
y ≤ 1/3 x - 1.3.
Step-by-step explanation:
First find the equation of the line:
The slope = (-0.3 - (-1.3) / (3 - 0).
= 1/3 so the equation is y = 1/3x + b where b is a constant.
b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).
Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.
Total children = 6
1) Probability of 4 girls =4/6=0.66
Probability of at least 4 girls >_ 0.66
That is greater or equal to 0.66
2) probability of 5 girls = 5/ total children
=5/6=0.83
Probability of at most 5 girls <_ 0.83
That is less than equal to 0.83
Answer:
x=4
Step-by-step explanation:
well you know that the square is 90 degrees so you set it up as 90=21x+6. Then you subtract 6 from both sides and it gets you 84=21x. Then divide 21 on both sides. So the answer is x=4
Answer:
b=5
Step-by-step explanation:
−4+bx=2x+3(x+1) (expand parenthesis first, i.e PEDMAS)
−4 + bx = 2x + 3x + 3
−4 + bx = 5x + 3 (move all x terms to one side and constants to another)
5x - bx = - 4 -3
5x - bx = - 7 (factor out x)
(5 - b)x = - 7
x = -7 / (5-b)
we can see that 5-b is in the denominator. Recall that for a fraction, the denominator cannot be zero otherwise the expression is undefined. (i.e no solutions)
hence the expression is undefined if,
(5-b) = 0
or b = 5