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mrs_skeptik [129]
2 years ago
9

What is the value of X?

Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

102

Step-by-step explanation:

triangle area = 180 degrees

straight line = 180 degrees

180 - 127 = 53

49

49 + 53 + 3rd angle = 180

3rd angle = 78

180-78 = x

x = 102

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OLEGan [10]
Tangent (R) = opposite / adjacent = 5 / 12 = <span> <span> <span> 0.416666
arc tangent (.416666) = angle R = 22.62 Degrees

</span></span></span>
7 0
3 years ago
Record 3 and 2/25 as a decimal
daser333 [38]

Answer:

3 2/25 = 3.08

Step-by-step explanation:

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3 years ago
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 Two marbles are withdrawn randomly.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We can assume that both marbles are withdrawn at the same time.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 The number of different ways in which we can withdrawn 2 marbles out of 10 is \binom{10}{2}.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
Evaluate t - v when t = 7 and v = (-3)
Andru [333]
T-v
7-(-3)
7+3
10
the answer is 10
6 0
3 years ago
Read 2 more answers
What type of number is the square root of 3
galina1969 [7]

Answer:

Irrational

Step-by-step explanation:

Since √3 is a non-terminating decimal (it repeats forever), it will be an irrational number.

6 0
3 years ago
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