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Savatey [412]
3 years ago
15

M is the midpoint of LN. What is the measure of LM?

Mathematics
1 answer:
alexandr1967 [171]3 years ago
6 0

Answer:

L___M___N

LM = MN

3x = 2x +2

3x – 2x = 2

x = 2

LM = 3x = 3(2) = 6

So; LM = 6

I hope I helped you^_^

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(4.1.4) Let X and Y be Bernoulli random variables. Let Z = X + Y. a. Show that if X and Y cannot both be equal to 1, then Z is a
Fynjy0 [20]

Step-by-step explanation:

Given that,

a)

X ~ Bernoulli (p_x) and Y ~ Bernoulli (y_x)

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

b)

If X and Y can not be both equal to  1

then,

p_z = P(X=1 or Y=1)\\

p_z = P(X=1)+P(Y=1)-P(=1 and Y =1)

p_z = P(x=1)+P(Y=1)\\\\p_z=p_x+p_y

c)

If both X = 1 and Y = 1 then Z = 2

The possible values of the random variable Z are 0, 1 and 2.

since a  Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution

7 0
3 years ago
A certain kite has exactly one acute angle, and it measures 16 degrees. What is the maximum whole-number measure of the angle op
kvv77 [185]

Answer:

In order to do so, we need to use basic algebra. The angles in a kite add up to 360 degrees. so we form the following equation.

x + y + y + 16 = 360

x + y + y = 344 <----(360 -16)

Each letter or variable represents an angle measure. the measures of the three angles left. The 16 degrees is on the bottom of the kite and the angle opposite is the top angle. the two side angles will be the same measure that's why they are both y.

x + 2y = 344

The two side angles will be 90 or greater because there is only 1 acute angle. 90 is the smallest number that can be chosen. so we do the following.

Step-by-step explanation:

x + 2(90) = 344

x + 180 = 344

x = 344-180

x = 164

THE MAXIMUM WHOLE NUMBER MEASURE OF THE ANGLE OPPOSITE OF THE 16 DEGREE ACUTE ANGLE IS 164 DEGREES*

4 0
3 years ago
Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 6 ft and 13 ft.
Rudik [331]
|13-6| < x < |13+6|

So the range will be:

7 < x < 19
8 0
3 years ago
5) HELP I don't know what I got incorrect can you please give me the answer and the step by step, THANK YOU SO MUCH TYSM!!!
MariettaO [177]
Same as moren.. sorry
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Basile [38]

Answer:

ok

Step-by-step explanation:

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