Answer:
Step-by-step explanation:
Answer:
a. 0.1917
b. 0.0914
d. 0.1580
Step-by-step explanation:
(a)


Mean,
= 0.375 -0.1833 = 0.1917
(b) sample prop ? Show your work and label each value.
Mean, = = 0.1917
Standard deviation = 
Standard deviation =
Standard deviation = 0.0914
(c)
Normality condition:
np ≥ 10 and n(1-p) ≥ 10
Both the samples satisfy the normality condition.
(d)
The probability is obtained by calculating the z score,

= 1.0029
P(z > 1.0029) = 1 - P(z ≤ 1.0029)
The probability is obtained from the z distribution table,
P(Z > 1.0029) = 1 - 0.8420 = 0.1580
h(t) = -16t² + 50t + 5
The maximum height is the y vertex of this parabola.
Vertex = (-b/2a, -Δ/4a)
The y vertex is -Δ/4a
So,
The maxium height is -Δ/4a
Δ = b² - 4.a.c
Δ = 50² - 4.(-16).5
Δ = 2500 + 320
Δ = 2820
H = -2820/4.(-16)
H = -2820/-64
H = 2820/64
H = 44.0625
So, the maxium height the ball will reach is 44.0625
Answer:
y = 1
x = -3
Step-by-step explanation:
9x + 2y = 3
-x - y = -12 (multiply second equation with 9)
9x + 2y = 3
-9x - 9y = - 108 (add these to up)
-7y = -105
y = 15 use this to find x
9x + 2y ➡ 9x + 30 = 3 ➡ 9x = -27 ➡ x = -3
Answer:
The answer is 1954
Step-by-step explanation: