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Fynjy0 [20]
3 years ago
12

Two angles are supplementary. One angle measures 2 x , and the other angle measures 3 x - 15. Which equation can you use to find

the measure of each angle? 2 x + 3 x - 15 = 90° 2 x - 3 x - 15 = 180° 2 x - 3 x - 15 = 90° 2 x + 3 x - 15 = 180
Mathematics
2 answers:
elixir [45]3 years ago
7 0
The last one because supplementary equals 180. and the other one The second one doesn't make sense with its equation.
algol [13]3 years ago
7 0
Supplementary angles add up to 180 degrees so you would take the 2 angles and add them together and set it equal to 180.

2x+3x-15=180 (Option 4)

Hope this helps!
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Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the
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(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, P(X)=\frac{1}{6}

(a) Moment generating function can be written as M_{x}(t).

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M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)

(b) Now, find E(X) \text { and } E\((X^{2}) using moment generating function

M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)

M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)  

\Rightarrow E(X)=\frac{21}{6}

M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)

M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)

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(b) \mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}

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