Amath club is researching a golf tournament fund-raiser. it will cost $1,000 to host the tournament. if it rains, the club will lose the investment. if it is sunny, it is expected that the club will collect $4,500 from the participants. if the chance of rain is 20%, what is the expected value for the tournament?
–$800
–$200
$2600
$3400

The correct answer option is $2,600.

Step-by-step explanation:

We know that:

The cost of hosting the tournament = $1,000

If it rains, the club will lose the investment which will be -$1,000

If it is sunny, the club expects to collect $4,500

So the profit will be = $4,500 - $1,000 = $3,500

If chance of rain is 20% = -$1,000 * 20/100 = -$200

Expected value for the tournament = $3,500 - $200 = $2,600

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

asdsad

step-by-step explanation: