The answer is A. X=-1/3 or x=2/3
Answer:
16.68 cm
Step-by-step explanation:
Given that :
Mean , m = 15
Standard deviation, s = 2
Length of salamander that would Place it at 80% of salamander length :
P(Z ≤ x) = 0.8
Zscore equivalent to 0.8 = 0.842
Using the relation :
Zscore = (x - m) /s
0.842 = (x - 15) / 2
1.684 = x - 15
Add 15 to both sides
1.684 + 15 = x - 15 + 15
16.684 = x
Hence, x = 16.68 cm
U= 9.4m/s
v= -7.4m/s (Negative sign because it is in the opposite direction as he is rolling back)
t= ?
s= ?
a= ?
Now, a= v-u/t
= -7.4-9.4÷3
=-5.6
By the second equation of motion.
s= ut+1÷2at*2 ( *2 is the power)
s= 9.4×3+1÷2×-5.6×3*2
= 28.2 +(-25.2)
=3
Therefore s or the distance travelled is 3m.
Answer:
7
Step-by-step explanation:
Answer:
5 units
Step-by-step explanation:
3x + 4y = 8
4y = -3x+8
y = -3/4+2
The shortest distance between a point and a line is the perpendicular line.
Slope of the perpendicular line: 4/3 and point (-3,-2)
b = -2-(4/3)(-3) = 2
Equation of the perpendicular line: y=4/3x+2
y is equal y
4/3x+2= -3/4x+2
4/3x +3/4x = 2-2
x = 0
Plug x=0 into one of the equations to find y
y = 4/3(0) + 2
y = 2
(0,2) and (-3,-2)
Distance = sqrt [(-3-0)^2 + (-2-2)^2]
Sqrt (-3)^2+ (-4)^2
Sqrt 25 = 5
