Mean = np = 60(0.7) = 42
Standard deviation = sqrt(npq) = sqrt(60(0.7)(0.3)) = 3.55
It is a triangle where all the angles are acute.
An acute angle is an angle measuring less than 90 degress.
Note that, since the sum of the interior angles of a triangle is 180, a triangle can have at most one non-acute triangle. In fact, if a triangle had two angles,
and
both exceeding 90 degrees, their sum alone would exceed 180 degress, which is impossible.
Answer:
$474
Step-by-step explanation:
$3,200 divided by 100 is $32.
$32 dollars is one percent
$32 times 7 is $224
$224 + $250 (the weekly salar) is $474
Answer:
The diagonals bisect each other
Step-by-step explanation:
2s = 10 s+5 = 10 FJ = JH
t+12 = 18 3t = 18 EJ = JG
Answer:
(a) ![x < \frac{9}{11}](https://tex.z-dn.net/?f=x%20%3C%20%5Cfrac%7B9%7D%7B11%7D)
(b) ![y> 2](https://tex.z-dn.net/?f=y%3E%202)
Step-by-step explanation:
(1):
![x - 15 > 4(-6+3x)](https://tex.z-dn.net/?f=x%20-%2015%20%3E%204%28-6%2B3x%29)
Open bracket
![x - 15 > 4*-6+4*3x](https://tex.z-dn.net/?f=x%20-%2015%20%3E%204%2A-6%2B4%2A3x)
![x - 15 > -24+12x](https://tex.z-dn.net/?f=x%20-%2015%20%3E%20-24%2B12x)
Collect Like terms
![x - 12x > 15 - 24](https://tex.z-dn.net/?f=x%20-%2012x%20%3E%2015%20-%2024)
![-11x > 15- 24](https://tex.z-dn.net/?f=-11x%20%3E%2015-%2024)
![-11x > -9](https://tex.z-dn.net/?f=-11x%20%3E%20-9)
Divide both sides by -11
![x < \frac{-9}{-11}](https://tex.z-dn.net/?f=x%20%3C%20%5Cfrac%7B-9%7D%7B-11%7D)
--- See first attachment for graph
(2):
![6y-7>y+3](https://tex.z-dn.net/?f=6y-7%3Ey%2B3)
Collect Like Terms
![6y-y>7+3](https://tex.z-dn.net/?f=6y-y%3E7%2B3)
![5y > 10](https://tex.z-dn.net/?f=5y%20%3E%2010)
Divide both sides by 5
![y > \frac{10}{5}](https://tex.z-dn.net/?f=y%20%3E%20%5Cfrac%7B10%7D%7B5%7D)
--- See second attachment for graph