What is the solution to the system of equations?

Mathematics

1 answer:

Mashcka [7]2 years ago

8 0

Answer: (-2, 5/3)

explanation: since you are given x = -2, just plug that into the equation and solve.

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A casino features a game in which a weighted coin is tossed several times. The table shows the probability of each payout amount

kkurt [141]

Answer:

The expected payout of the game is $230.46.

Step-by-step explanation:

The given table is

Payout Amount : $160 $4400 $145000

Probability : 0.146 0.024 0.0007

We need to find the expected payout of the game.

The formula for expected payout is

$\text{Expected payout}=\sum n_iP(x_i)$

where, n is amount and P(x) is probability of that event. The value of n is negative for loss.

Using the above formula we get

$\text{Expected payout}=160\times 0.146+4400\times 0.024+145000\times 0.0007$

$\text{Expected payout}=23.36+105.6+101.5$

$\text{Expected payout}=230.46$

Therefore the expected payout of the game is $230.46.

6 0

2 years ago

Simplify the expression <br> x+1+ 1/x+1<br> and give your answer in the form of <br> f(x) / g(x)

mr Goodwill [35]

F(x)=(x+1)+1
g(x)=x+1

6 0

2 years ago

Lesson 10: Congruent Triangles ._.

spayn [35]

#1 is A
#2 IS c
#3 is B

3 0

3 years ago

Read 2 more answers

I don’t really get this question so if anyone knows it please help

Mars2501 [29]

Answer:

$116.82\:\text{square inches}$

Step-by-step explanation:

The window consists of a large square and 4 smaller triangles on the outside. The side length of this square is marked as 10, and therefore the area of this square is $10^2=100\:\mathrm{in^2}$ .

The area of a triangle is given by $\frac{1}{2}\cdot b\cdot h$ . Since the problem states that the overlapping squares are congruent, both legs of the triangle will be $2.9$ and intersect at a $90^{\circ}$ angle.