Answer:
x= -6, y= 10
Step-by-step explanation:
x= y + 4
2x = 3y - 2
If we replace "x" with "y+4" in the second equation we get:
2(y+4) = 3y - 2
2y + 8 = 3y - 2
2y - 3y = -2-8
-y = -10
y = 10
Now we can go back to the first equation and solve for x:
x = y + 4
x = 10 + 4 = 14
Answer:
a
Step-by-step explanation:
Answer:
a= 4.993
c = 5.824
A= 59°
C = 90°
Step-by-step explanation:
b=3, B=31°
Since it's a right angle.
C = 90°
A = 180-90-31
A= 59°
For side a and c
a/sin A = b /sin B
a = sinA * b/sin B
a= sin 59 * 3/sin31
a= 4.993
a = 5
c/sin C = b/sin B
c = sin C * b/sin B
c = sin90 * 3/sin 31
c = 1* 5.824
c = 5.824
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
Answer:
$100
Step-by-step explanation:
8x= 160
160/8 = 20
x=20
5x = 100
