Solve: StartFraction 2 Over 3 EndFraction minus 4 x plus StartFraction 7 Over 2 EndFraction equals negative 9 x plus StartFracti

Answer:

1/3

Step-by-step explanation:

We can begin with the red ball, as it presents a simpler scenario. The chances of selecting the correct number that matches the randomly drawn number is 1/10, leading to a base probability of 0.1.

Looking at the white balls, you need to accurately choose at least 2 of the drawn numbers. Assuming we select numbers 1-3, in order to win, the combinations needed are 1 and 2, 2 and 3, 1 and 3, or all three numbers 1, 2, and 3 being drawn. The probability for any pair of two being drawn is 0.075. Multiplying this by the three possible pairs gives 1/4. Additionally, the likelihood of drawing all three numbers is computed as 3/10*2/9*1/8.

Summing the probabilities gives .225 + .1 + 0.008333 = 33.333...% which simplifies to 1/3.

Begin at the leftmost digit

Ten thousands; then thousands; then hundreds; then tens; then ones; then tenths; then hundreths; then thousandths,

Alright, let's begin.

A right triangle (Triangle 1) has a hypotenuse measuring 115 mm, and angle α = 31.2°. What are the dimensions for a, b, and angle β?

Please see the diagram I have provided.

Utilizing SOH CAH TOA,

Substituting the value of sin 31.2

mm

Likewise,

Substituting the value of cos 31.2

mm

For angle β

tan β =

tan β = 1.65

Using the tangent inverse

β = 58.78°

Thus, we have a = 98.36 mm, b = 59.57 mm, and β = 58.78°:   Final Answer

I hope this is helpful:)

A right triangle (Triangle 1) has lengths of a = 505 mm and b = 286 mm. What are the dimensions for c, α, and β?

Refer to the diagram I’ve attached.

With sides a and b provided, we can find side c using the Pythagorean theorem.

Taking the square root of both sides

c = 580.36 mm

Applying SOH CAH TOA,

tan α =

Taking the tangent inverse

α = 60.48°

Similarly,

tan β =

Taking the tangent inverse

β = 29.52°

Thus, the answer is c = 580.36 mm, α = 60.48° and β = 29.52°:    Final Answer

I hope this is helpful:)

They require 10 tiles.

Answer:

B - Taking the cube root of y

Step-by-step explanation:

The information provided is:

y = ax^3

Using that information

we now find the cube root of y

The computation is as follows:

y1/3 = a1/3 × x

Thus

From the above equation, a linear relationship can be observed between the cube root of y and x.

Consequently, option B is the correct choice.

Therefore, the other options are incorrect.