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kramer
3 years ago
13

19. Find m a.) 63 b.) 117 c.) 73 d.) 107

Mathematics
1 answer:
Kay [80]3 years ago
6 0

For this case we have a pentagon shown, that is, it has 5 sides. By definition, the sum of the internal angles of a pentagon is given by:

540 degrees

So:

96 + 118 + 104 + x + 115 = 540\\433 + x = 540\\x = 540-433\\x = 107

Now we have to:

A + x = 180\\A = 180-x\\A = 180-107\\A = 73

Answer:

Option C

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Define a new random variable by y = 2px. show that, as p l 0, the mgf of y converges to that of a chi squared random variable wi
Mandarinka [93]
The moment generating function (mgf) of y is given by

M_y(t)=E(e^{ty})=E(e^{2pxt})=M_x(2pt)=p(1-e^{2pt}(1-p))^{-1}

Since the momoent generating function of x is given by M_x(t)=p(1-e^{t}(1-p))^{-1}

When p tends to 0, we have

\lim_{p \to 0} M_y(t)=  \lim_{p \to 0}  \frac{p}{1-e^{2pt}(1-p)} = \frac{0}{0}

Applying L'Hopital's rule we have:

\lim_{p \to 0} M_y(t)=\lim_{p \to 0} \frac{1}{e^{2pt}+2te^{2pt}+2pte^{2pt}} = \frac{1}{1+2t} , \ \ \ t\ \textless \  \frac{1}{2}

This shows that y converges to <span>a chi squared random variable with 2r degrees of freedom</span>.
5 0
3 years ago
Devin will equally divide 23 tablespoon of oregano into 4 spice mixes. How much oregano will he put in each of the 4 spice mixes
Tatiana [17]
6 tablespoons in each
4 0
3 years ago
Read 2 more answers
URGENT!!!!!!! HELP PLEASE!!!!!!
IRISSAK [1]

Answer:

x^\frac{2}{3}

Step-by-step explanation:

Using the power of power rule (multiply the exponents)

x^\frac{4}{3} × ^\frac{1}{3}       x^\frac{2}{3} × ^\frac{1}{3}

x^\frac{4}{9}            x^\frac{2}{9}

When exponents are multiplied, add the answers:

x ^ ( 4/9 + 2/9 )

x ^ ( 6/9 )

x ^ ( 2/3 )

6 0
3 years ago
katy desea alquilar un barca y gastar por menos $54. El barco cuesta $7 por hora y katy tiene un cupom de descuento de $9 dolare
MAXImum [283]

Answer:

9 horas

Explanation:

$63 por 9 horas

Cupom de descuento de $9

$63 - $9 = $54

3 0
3 years ago
Can someone please help me ASAP
USPshnik [31]

Answer:

Look down below!

Step-by-step explanation:

Fist, make your inequality:

-x + 5y > -10

5y > x - 10

y = .2x - 2

Now, plug in any value of x to find y!

Ex:  x = 5...

y = .2 (5) - 2

y = -1

Your first coordinate could be (5, -1)

Hope this helps!

8 0
2 years ago
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