Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
Answer:
5/8
Step-by-step explanation:
Find P(x = 3 blues for the 2 draws)
two draws
Binomial probability.
we know p = 3/8 for blue, else q = 1 - q = 1 - (3/8)
X = # of blue marbles left in the bag.
apparently it looks like there are 8 marbles in the bag, 3 are blue, 5 are red
X = 3 , means the draw was a red 5/8 for the first draw
the 2nd draw can be a blue or a red so, probability is 1
P(X = 3) = (5/8) * 1 = 5/8
Answer:
n=-1
Step-by-step explanation:
7n + 28 = 21
subtract 28 on both sides
7n= -7
divide by seven on both sides
n= -1
Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas