Answer:
as a fraction = 75/92
as a percentage = 81.52%
Step-by-step explanation:
total no of students = 92
probability that a student has hazel or brown eyes = Pr(hazel or brown)
but probability of a or b happening ie Pr(a or b) simply is Pr (a) +Pr (b)
therefore Pr(hazel or brown) = Pr(hazel)+ Pr(brown)
Pr(brown) = (no of brown eyes )/(total set of eyes)
= 
= 10/23
Pr( hazel) = (no of hazel eyes )/(total set of eyes)
= 
=35/92
hence Pr(hazel or brown) = (10/23) + (35/92) =75/92
so there's 75/92 probability (or 0.8 out of 1 chance )to choose either hazel or brown randomly
Answer:
(7x + 14)° = 84°
(15x - 4)° = 146°
Step-by-step explanation:
62° + (7x + 14)° = (15x - 4)°
62° +7x + 14 = 15x - 4
15x - 7x = 62 + 14 + 4
8x = 80
x = 10
Therefore, exterior angle (15x - 4)° = 146°
interior angle (7x + 14)° = 84°
Answer:
True for all x.
Step-by-step explanation:
1. Expand 1/3(6-9x)
2-3x
2. Expand -1/5(15x-10)
-3x+2
3. Subtract 2 from both sides.
2-3x-2 = -3x+2-2
4. Simplify.
-3x = -3x
5. Add 3x to both sides.
-3x + -3x = -3x + -3x
6. Simplify.
0=0
Both sides are equal, so it is true for all x.
Answer:
The answer to your question is letter D
Step-by-step explanation:
Data
P1 (3, 10)
P2 (-1, 6)
Process
1.- Calculate the midpoints
Xm = (x1 + x2)/2
Ym = (y1 + y2)/2
x1 = 3 y1 = 10
x2 = -1 y2 = 6
Xm = (3 - 1)/2
= 2/2
= 1
Ym = (10 + 6)/2
= 16/2
= 8
2.- Write the coordinates of the center
C = (1, 8)
Answer:
Step-by-step explanation:
step 1
Find the length of the base L
we know that
The surface area of a rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
substitute
we have
substitute in the formula and solve for L
step 2
Find the volume of the rectangular prism
The volume is equal to
we have
substitute
