Answer:
No solutions
Step-by-step explanation:
5x - 4 ≥ 12
<em>Isolate the Variable</em>
5x ≥ 16
<em>Divide both sides by 5</em>
x ≥ 3.2
AND
12x + 5 ≤ -4
<em>Isolate the Variable</em>
12x ≤ -9
<em>Divide both sides by 12</em>
x ≤ -.75
When you say and, you find the area that is covered by both inequalities, but because the inequalities solution sets don't overlap, there are no solutions.
The volume of the prism is 40 because 5 x 8 =40
Answer:
There are no real solutions
Step-by-step explanation:
Recall that for a quadratic equation in the form:
ax² + bx + c = 0
using the quadratic formula, that the discriminant of the formula is given by the following expression
Discriminant = b² - 4ac
If b² - 4ac < 0 ----> No real roots
If b² - 4ac > 0 ----> Two real roots
If b² - 4ac = 0 ----> One real roots
In our case, a = 3, b = -2 and c = 4
b² - 4ac = (-2)² - 4(3)(3) = 4 - 36 = -32 (which is <0)
Hence there are no real roots.
The probability of having at least 4 girls is 0.1875.
