You reverse the inequality symbol if you divide or multiply by a negative number in order to solve the inequality.
Answer:
1.39
Step-by-step explanation:
Creating a table:
X :___0 __ 1 __ 2 ___ 3 ____ 4 ___ 5 ___ 6
P(x):0.02_0.03_0.07, 0.12, 0.30_ 0.28_0.18.
The standard deviation = sqrt(Var(x))
Var(x) = Σx²*p(x) - E(x)²
E(x) = ΣX*p(x)
E(x) = (0*0.02) + (1*0.03) + (2*0.07) + (3*0.12) + (4*0.30) + (5*0.28) + (6*0.18) = 4.21
Var(X) :
((0^2*0.02) + (1^2*0.03) + (2^2*0.07) + (3^2*0.12) + (4^2*0.30) + (5^2*0.28) + (6^2*0.18)) - 4.21^2
19.67 - 17.7241
= 1.9459
Standard deviation = sqrt(Var(X))
Standard deviation = sqrt(1.9459)
Standard deviation = 1.3949551
= 1.39
Answer:
y = - 2x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1,1) ← 2 points on the line
m = 
= - 2
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = - 2x + 3 ← equation of line
Answer:
The speed of sound is 
Step-by-step explanation:
Let
x-----> the speed of sound
we know that
so
solve for x
5/7 × 7/10 = 35 / 70 = 1/2
