0.185 is your decimal answer but your fraction answer is 37/200 according to my spidey senses.
Answer:
(4, 3)
Step-by-step explanation:
#1. Isolate x:
3x + y = 15
y = 15 - 3x
Substitute and solve for x:
5x - 3y = 11
5x - 3(15 - 3x) = 11
5x - 45 + 9x = 11
5x + 9x = 11 + 45
14x = 56
x = 4
Substitute and solve for y:
y = 15 - 3x
y = 15 - 3(4)
y = 15 - 12
y = 3
Answer:
x = 30m
Step-by-step explanation:
<u>GIVEN :-</u>
There are 2 right-angled triangles.
In the triangle on the right side ,
- Hypotenuse = 26m
- Base = 10m
In the triangle on the left side ,
<u>TO FIND :-</u>
- Length of the common perpendicular to both triangles.
- Length of the hypotenuse of the triangle on the left side.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
.
<u>SOLUTION :-</u>
In the triangle on the right side ,

⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.
In the triangle on the left side ,

∴ x = 30m
232 = 520 - 2*144
and
808 = 520 + 2*144
which means scores between 232 and 808 fall within 2 standard deviations of the mean, so about 95% of scores fall in this range.