1 dozen eggs = 12 eggs
1.35 / 12 = 0.1125.....so the unit cost = $ 0.11 (11 cents) per egg
Answer
The monkey will be able to cover an area of 22.86 meters which is equivalent to two sides and half of the building.
Step-by-step explanation:
The length of the monkeys rope = 75 feet long
Each side of the hexagon shaped facility = 30 feet
Note that, 1 feet = 0.3048 m
if we convert 30 feet to Meter, we have,
30 × 0.3048 = 9.144
Therefore, 30 + 30 +15 = 75 which is equivalent to the two side and half side of the hexagon shaped building
75 feet × 0.304 meter = 22.86 meters.
So the total area the monkey will be able to cover will be
= 22.86 Meters which is equivalent to two sides and half of the hexagon shape building.
The correct answer is X = -5
Answer:
P ( z ) = 0.005
Step-by-step explanation:
From problem statement:
We know:
Researchers study 45 % adults over 65 suffering disorders
Sample 320 out of 750
then p = 320 / 750 = 0,4267
1.- Test hypothesis
H₀ null hypothesis ⇒ p₀ = 0,45
Hₐ alternative hypothesis ⇒ p₀ < 0.45
We calculate the z(s) as:
z(s) = ( p - p₀ )/ √ p₀*q₀/n ⇒ z(s) = ( 0.4267 - 0.45 )/ √(0.45*0,55)/750 z(s) = - 0.0233* √750 / 0.2475
z(s) = - 0.6381/0.2475 ⇒ z(s) = - 2.57
We look for - 2.57 in z tabl to find the probability of fewer than 320 out of 750 suffer of disorder, and find
P ( z ) = 0.0051
P ( z ) = 0.005
Answer:
x = 4 & 2
Step-by-step explanation:
-2x²+12x-16 = 0
-2(x²-6x+8) = 0 // Factor what's in the parentheses
-2(x-4)(x-2) = 0
-2(x-4) = (-2x+8)
(-2x+8) = 0 // Subtract 8 on both sides
-2x = -8 // Divide both sides by -2
x = 4
x-2 = 0 // Add 2 on both sides
x = 2