It's 1/6 the first time, 1/6 the second time, 1/6 the third time, and 1/6 the fourth time.
The probability of ALL of them happening is
(1/6) to the 4th power = 0.0772 %
Answer:
X=32
Step-by-step explanation:
32-2=30
The attached picture was omitted from the question.
Answer:
C = 41.88 feet
a = 33.1°
b = 56.9°
Step-by-step explanation:
From the diagram, we have a right angle triangle.
C = hypotenuse
C = sqrt(35^2 + 23^2)
C = sqrt(1225 + 529)
C = sqrt(1754)
C = 41.88 feet
The connecting Angles:
Angle 'a'
Using tan = opposite / Adjacent
Tan a = 23 / 35
tan a = 0.6571428
a = tan^-1 (0.6571428)
a = 33.1°
Angle 'b' :
Sum of angles in a triangle = 180
a + b + 90 = 180
33.1 + b + 90 = 180
b + 123.1 = 180
b = 180 - 123.1
b = 56.9°
Answer: i really dont know
Step-by-step explanation:
Answer:
-3,8
Step-by-step explanation:
1) we can factor this since this quadratic function is in the form of
ax^2+bx+c
where we need to find out what*what=c
and what+what=b
since c is -24 and b is -5 we need to figure out the factors of -24 which equal -5:
-8+3=-5
and
-8*3=-24
hence -8 and 3 is our factors, next we will substitute them in place of "b"
so
n^2-8n+3n-24
split this equation in two groups:
group 1) n^2-8n
group 2) 3n-24
gcf of group 1= n
so
n(n-8)
gcf of group 2: 3
so
3(n-8)
next take numbers outside of parentheses and group them together:
so (n+3) (n-8)=0
since anything times 0 is equal to 0, either (n+3) is 0 or (n-8) is 0
so
n+3=0
n=-3
n-8=0
n=8
hence n=-3,8
Hope this helps!