Alison is playing a video game. at the end of each level, the player is given either a bag of gold or a magic wand. alison says that the probability of getting a bag of gold is 30%. to test this, she plays the game 50 times and calculates the relative frequency of each outcome. outcome bag of gold magic wand relative frequency 0.32 0.68 select from the drop-down menus to correctly complete each statement. the relative frequency of getting a bag of gold is 30%. alison's claim about the theoretical probability is likely to be . further, this means that the theoretical probability of getting a magic wand is most likely .

Outcome Bag of Gold Magic Wand

Relative frequency 0.32 0.68

The relative frequency of getting a bag of gold is reasonably close

.32 is close to 30% so

Alison's claim about the theoretical probability is likely to be 2true

Further, this means that the theoretical probability of getting a magic wand is most likely 31 - 30% = 70%

w = x and ΔABC ~ ΔFED

Step-by-step explanation:

we know that

In a right triangle

If sin(A)=cos(B)

then

Angles A and B are complementary

so

A+B=90°

In this problem

If sin(y°) = cos(x°)

then

Angles y and x are complementary

so

x+y=90°

therefore

In the triangle FED

w+y=90° > by complementary angles

In the triangle ABC

z+x=90° > by complementary angles

so

w=x and z=y

Remember that

If two triangles are similar, then the corresponding angles are congruent

In this problem

The corresponding angles of triangles ABC and FED are congruent

therefore

ΔABC ~ ΔFED