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Schach [20]
3 years ago
13

Solve. –40 = 5x please help asap thanks

Mathematics
1 answer:
Aleksandr [31]3 years ago
4 0

Answer:

x = -8

Step-by-step explanation:

<h2><u>If a variable is next to a number, that means whatever the variable is, you multiply it by the number.</u></h2>

<u></u>

<u>We divide to get our final answer:</u>

-40 / 5

==> - 8

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A box contains 5 red and 5 blue marbles. Two marbles are withdrawn randomly. If they are the same color, then you win $1.10; if
topjm [15]

Answer:

a) The expected value is \frac{-1}{15}

b) The variance is  \frac{49}{45}

Step-by-step explanation:

We can assume that both marbles are withdrawn at the same time. We will define the probability as follows

#events of interest/total number of events.

We have 10 marbles in total. The number of different ways in which we can withdrawn 2 marbles out of 10 is \binom{10}{2}.

Consider the case in which we choose two of the same color. That is, out of 5, we pick 2. The different ways of choosing 2 out of 5 is \binom{5}{2}. Since we have 2 colors, we can either choose 2 of them blue or 2 of the red, so the total number of ways of choosing is just the double.

Consider the case in which we choose one of each color. Then, out of 5 we pick 1. So, the total number of ways in which we pick 1 of each color is \binom{5}{1}\cdot \binom{5}{1}. So, we define the following probabilities.

Probability of winning: \frac{2\binom{5}{2}}{\binom{10}{2}}= \frac{4}{9}

Probability of losing \frac{(\binom{5}{1})^2}{\binom{10}{2}}\frac{5}{9}

Let X be the expected value of the amount you can win. Then,

E(X) = 1.10*probability of winning - 1 probability of losing =1.10\cdot  \frac{4}{9}-\frac{5}{9}=\frac{-1}{15}

Consider the expected value of the square of the amount you can win, Then

E(X^2) = (1.10^2)*probability of winning + probability of losing =1.10^2\cdot  \frac{4}{9}+\frac{5}{9}=\frac{82}{75}

We will use the following formula

Var(X) = E(X^2)-E(X)^2

Thus

Var(X) = \frac{82}{75}-(\frac{-1}{15})^2 = \frac{49}{45}

7 0
3 years ago
Need to explain why equations 3x +12 = 6 and -2 =4 -3x isn’t equivalent
Scorpion4ik [409]
3x+12=6 will give you x=2
And
-2=4-3x will give you x=-2
4 0
3 years ago
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Answer:

5 Months start with"J" or "M"

January March May June July

So the probability of a randomly selected month beginning with J or M is

5 / 12

Step-by-step explanation:

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3 years ago
How do you get this answer ?
Leno4ka [110]
If you 
Let x to be the total number of pages in a book,

then 1/3x = 117

because 117 = 1/3 of a book
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Nikola likes to play horseshoes, where players try to score a ringer by throwing a horseshoe so it lands around a post. A player
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0.9 for the top box and 1.68 for the bottom box

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