part of the whole painting is gold colored.
<u>Solution:</u>
Given that , In art class, Arthur has created a triangle painting 
of his painting is purple.
He decided he wants to Paint 
of the purple area gold
We have to find what fraction of the whole painting will be painting?
Now, part of whole painting is purple
And, part of the purple area is gold ⇒ part of the part of whole painting is gold
Hence, part of the whole painting is gold colored.
Answer:
60°
Step-by-step explanation:
Am equilateral triangle is a triangle that has all its sides and angles equal. Note that an equilateral triangle has 3 sides and angles.
Let the angles be a, b and c
The sum of angle in a triangle is 180°, hence;
a+b+c = 180°
Since a = b = c
The equation becomes;
a+a+a = 180°
3a = 180
a = 180/3
a = 60°
Hence the measure of the angles of an equilateral triangle is 60° for the three angles.
Answer:
y = -1/3x + 1
Step-by-step explanation:
substitute the given values in y = mx + b where m is the slope and b is the y-intercept
y = -1/3x + b
at point (0, 1)
1 = -1/3 × 0 + b
1 = 0 + b
b = 1
y = -1/3 + 1
A. because it's a lower chance of you being robbed and getting your money taken away
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
