Answer: Our required probability would be 0.35.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
Number of purple marbles in Box A = 30
Number of yellow marbles in Box A = 20
Number of purple marbles in Box B = 15
Number of yellow marbles in Box B = 35
So, If Melanie randomly selects one of the boxes and then randomly selects one marble from that box.
Probability that the marble selected will be purple is given by

Hence, our required probability would be 0.35.
You would have to replace f(x) with zero and use quadratic formula
f(x)=x^2-5x+5
0=x^2-5x+5
=(-b+-√b^2-4ac)/2a
=(5+-√25-4(1)(5))/2
=(5+-√5)/2
x=(5+√5)/2 or x=(5-√5)/2
Both x values are completely applicable in the equation.
Hope I helped :)
Answer:
2.3 units
Step-by-step explanation:
The unknown side is opposite the given angle 50 degrees, and the length of the hypotenuse is 3 units.
Since sin Ф = opp / hyp, we have here sin 50° = x/3, or x = 3 sin 50°.
Using a calculator, we find that the sine of 50° is 0.776.
Therefore, x = 3(0.766) = 2.298 units, or approximately 2.3 units
Answer:
42 units²
Step-by-step explanation:
The figure is composed of a rectangle ( middle section) and 2 triangles with the same length base and height
Area of rectangle = 7 × 4 = 28 units²
Area of 2 triangles = 2 ×
× 7 × 2 = 14 units²
Area of figure = 28 + 14 = 42 units²