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Allushta [10]
4 years ago
15

Solve 10x+9=0 using the quadratic formula

Mathematics
1 answer:
steposvetlana [31]4 years ago
8 0
Move all terms that don't contain
x to the right side and solve.

X=-9/10
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Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and
cluponka [151]

Answer:

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

Step-by-step explanation:

Number of green marbles = 2 and Number of Yellow marbles = 1

Then, total number of marbles = 2+1 = 3

A person selects two marbles one after another after replacing them.

So, the probabilities of selecting different combinations of colors are,

1.\ P(GG)=P(G)\times P(G)\\\\P(GG)=\dfrac{2}{3}\times \dfrac{2}{3}\\\\P(GG)=\dfrac{4}{9}

2.\ P(GY)=P(G)\times P(Y)\\\\P(GY)=\dfrac{2}{3}\times \dfrac{1}{3}\\\\P(GY)=\dfrac{2}{9}

3.\ P(YG)=P(Y)\times P(G)\\\\P(YG)=\dfrac{1}{3}\times \dfrac{2}{3}\\\\P(YG)=\dfrac{2}{9}

4.\ P(YY)=P(Y)\times P(Y)\\\\P(YY)=\dfrac{1}{3}\times \dfrac{1}{3}\\\\P(YY)=\dfrac{1}{9}

Now, we have that,

If two marbles are of same color, then Mia gains 1 point and Derek loses 1 point.

If two marbles are of different color, then Derek gains 1 point and Mia loses 1 point.

<h3>Also, the expected value of a random variable X is E(X)=\sum_{i=1}^{n} x_i\times P(x_i).</h3>

Then, the expected value of points for Derek is,

E(D)= (-1)\times \dfrac{4}{9}+1\times \dfrac{2}{9}+1\times \dfrac{2}{9}+(-1)\times \dfrac{1}{9}\\\\E(D)= \dfrac{-5}{9}+\dfrac{4}{9}\\\\E(D)=\dfrac{-1}{9}

And the expected value of points for Mia is,

E(M)= 1\times \dfrac{4}{9}+(-1)\times \dfrac{2}{9}+(-1)\times \dfrac{2}{9}+1\times \dfrac{1}{9}\\\\E(M)= \dfrac{5}{9}-\dfrac{4}{9}\\\\E(M)=\dfrac{1}{9}.

Thus, the expected value of points for Derek and Mia are \dfrac{-1}{9} and \dfrac{1}{9} respectively.

8 0
3 years ago
Read 2 more answers
A square parking lot has an area of (4x^2+ 20x+ 25) ft^2. What is the length of one side of the parking lot?
Sunny_sXe [5.5K]

Answer:

A-(2x+5)

Step-by-step explanation:

(2x+5)(2x+5)=4x^2+10x+10x+25 when you do FOIL, so that is the correct answer.

4 0
4 years ago
Which of the following is radical equation<br> algebra II engenuity
Amanda [17]

Answer:

√x+3=13

Step-by-step explanation:

The equation is √x+3=13 is radical because the unknown, x appears under a radical sign √.

To solve the equation, the unknown is left on one side of the equal sign and then both sides of the equal sign are raised to an equal power which would remove the radical sign.

For example,

√x+3=13

√x=13-3

√x=10

Removing radical.

(√x)²=10²

x=100

4 0
3 years ago
Which of the following is a rational number <br> a.√5<br> b.π<br> c.1/2<br> d.√(77)
amid [387]
C. 1/2

the quotient of two integers
4 0
2 years ago
(1)Explain the three different ways of writing a ratio. Provide an example.
PolarNik [594]

Answer:

1. Three ways to write Ratios are : in form of fraction, in form of decimals. Consecutively, they can also be written in form of percentage.

2. Divide the numerator by the denominator. The resulting decimal number is the unit rate.

3. A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units.

    Ex: Ben 1 glass of milk for every 2 cookies that he eats. We can use this ratio to begin a ratio table. If Ben drinks 2  glasses of milk, then he eats 4 cookies.

          Glasses of milk     Cookies

                        1                     2

                        2                    4

Notice that both of the ratios in the ratio table are equivalent

      1/2=2/4

If Ben drinks 4 glasses of milk, then he eats 8 cookies.

             Glasses of milk     Cookies

                        1                      2

                        2                     4

                        4                     8

Notice that all of the ratios in the ratio table are equivalent:

1/2=2/4=4/8

4. Write 32% as  32 /100

Since, finding the fraction of a number is same as multiplying the fraction with the number, we have

32 /100  of 150 =  32 /100  × 150

Therefore, the answer is 48

If you are using a calculator, simply enter 32÷100×150 which will give you 48 as the answer.

5. A ratio is a comparison of two numbers or measurements. The numbers or measurements being compared are sometimes called the terms of the ratio. A rate is a special ratio in which the two terms are in different units.

Step-by-step explanation:

Hope that helps :)

8 0
2 years ago
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