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GREYUIT [131]
3 years ago
11

Which expression is equivalent to 3x - -3y

Mathematics
2 answers:
Blizzard [7]3 years ago
7 0
3x+3y
The two minus signs cancel each out and you add it instead.
svp [43]3 years ago
4 0

Answer:

3x + 3y

Step-by-step explanation:

The two minus signs make a plus sign. Therefore, we replace the minus signs with a plus sign, getting 3x + 3y.

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3 years ago
and are independent Gaussian (Normal) random Variables. has mean 13.9 and variance 5.2; has mean 6.9 and variance 3.8. . (a) Cal
omeli [17]

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

so

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3   ≤   10-7 /3 )

= 1 - P( Z ≤ 1 )           [ Z = W-7 / 3 ⇒ N(0, 1)  ]

from Standard normal distribution table, P( Z ≤ 1 )  = 0.8413

so

1 - P( Z ≤ 1 )  = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

8 0
3 years ago
A right triangle is shown with an angle that measures 60 degrees. The leg adjacent to the 60 degree angle is labeled 5. The leg
Luda [366]

Answer:

x = 5 \sqrt{3}

Step-by-step explanation:

Please see the attached pictures for the full solution.

6 0
3 years ago
The measures of the angles of a triangle are in the extended ratio 4 : 5 : 6. What is the measure of the smallest angle?
ozzi
4x +5x +6x = 180
15x = 180
x = 180/15
x = 12
So smallest angle = 4*12 = 48 degrees
7 0
3 years ago
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