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3 years ago

Mhanifa can you please help? Look at the picture attached. I will mark brainliest!

Mathematics

1 answer:

Nikitich [7]3 years ago

4 0

Answer:

Given rhombus ABCD with

m∠EAD = 67°, CE = 5, DE = 12

Properties of a rhombus:

All sides are congruent
Diagonals are perpendicular
Diagonals are angle bisectors
Diagonals bisect each other

Solution, considering the above properties

1. m∠AED = 90°, as angle between diagonals
2. m∠ADE = 90° - 67° = 23° as complementary of ∠EAD
3. m∠BAE = 67°, as ∠BAE ≅ ∠EAD
4. AE = CE = 5, as E is midpoint of AC
5. BE = DE = 12, as E is midpoint of BD

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We have two fair three-sided dice, indexed by i = 1, 2. Each die has sides labeled 1, 2, and 3. We roll the two dice independent

Nikitich [7]

Answer:

(a) P(X = 0) = 1/3

(b) P(X = 1) = 2/9

(d) P(X = 3) = 0

(a) P(Y = 0) = 0

(b) P(Y = 1) = 1/3

Step-by-step explanation:

Given:

- Two 3-sided fair die.

- Random Variable X_1 : Result on 1st die.

- Random Variable X_2: Result on 2nd die.

- Random Variable X = X_2 - X_1.

Solution:

- Possible outcomes of X : { - 2 , -1 , 0 ,1 , 2 }

- The corresponding probabilities for each outcome are:

( X = -2 ): { X_2 = 1 , X_1 = 3 }

P ( X = -2 ): P ( X_2 = 1 ) * P ( X_1 = 3 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

( X = -1 ): { X_2 = 1 , X_1 = 2 } + { X_2 = 2 , X_1 = 3 }

P ( X = -1 ): P ( X_2 = 1 ) * P ( X_1 = 3 ) + P ( X_2 = 2 ) * P ( X_1 = 3)

: ( 1 / 3 ) * ( 1 / 3 ) + ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 0 ): { X_2 = 1 , X_1 = 1 } + { X_2 = 2 , X_1 = 2 } + { X_2 = 3 , X_1 = 3 }

P ( X = -1 ):3*P ( X_2 = 1 )*P ( X_1 = 1 )

: 3*( 1 / 3 ) * ( 1 / 3 )

: ( 3 / 9 ) = ( 1 / 3 )

( X = 1 ): { X_2 = 2 , X_1 = 1 } + { X_2 = 3 , X_1 = 2 }

P ( X = 1 ): 2* P ( X_2 = 2 ) * P ( X_1 = 1 )

: 2* ( 1 / 3 ) * ( 1 / 3 )

: ( 2 / 9 )

( X = 2 ): { X_2 = 1 , X_1 = 3 }

P ( X = 2 ): P ( X_2 = 3 ) * P ( X_1 = 1 )

: ( 1 / 3 ) * ( 1 / 3 )

: ( 1 / 9 )

- The distribution Y = X_2,

P(Y=0) = 0

P(Y=1) = 1/3

P(Y=2) = 1/ 3

- The probability for each number of 3 sided die is same = 1 / 3.

8 0

3 years ago

Ignore the answer I put please help and I’ll give brainliest

Leokris [45]

Answer:

Step-by-step explanation:

3/12 reduces to 1/4.

1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.

Answer: B.

5 0

3 years ago

Identify the parameters in y = a*bkx.

Natasha2012 [34]

Convention in algebra is that we use letters such as a, b, c, etc., for parameters and letters such as x, y z, and so on, for variables.

Thus the parameters here are a, b and k. k is the constant of proportionality.

5 0

3 years ago

Evaluate expression 20+3c+17d when c=8 and d=2.

Tems11 [23]

Just plug in the numbers for the variables.

20+3(8)+17(2)=

3 0

3 years ago

At maximum speed, an airplane tracked 1720 miles against the wind in 5 hours. Flying with the wind, the plane can travel the sam

nataly862011 [7]

Recall your d = rt, distance = rate * time.

as the plane goes against the wind, the plane is not really flying at "x" mph, but is really going slower, at " x - y ", because the wind is subtracting speed from it.

likewise, when the plane is going with the wind, is not really going at "x" mph, but at " x + y ", is going faster due to the wind, thus

$\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{against the wind}&1720&x-y&5\\
\textit{with the wind}&1720&x+y&4
\end{array}
\\\\\\
\begin{cases}
1720=(x-y)5\implies \frac{1720}{5}=x-y\\\\
344=x-y\implies \boxed{y}=x-344\\
---------------\\
1720=(x+y)4\implies \frac{1720}{4}=x+y\\\\
430=x+y\implies 430=x+\left( \boxed{x-344} \right)
\end{cases}
\\\\\\
430=2x-344\implies 774=2x\implies \cfrac{774}{2}=x\implies 387=x$

6 0

2 years ago