Answer:
Graph shifts five units down.
Step-by-step explanation:
Answer:
4m
Step-by-step explanation:
We are looking for the circumference
We need to find the radius
r = d/2 = 1.2/2 = .6
C = 2*pi*r
C = 2*pi*(.6)
C = 1.2*pi
We can approximate pi by 3.14
C =1.2*3.14
C =3.768 m
To the nearest meter
C = 4m
This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125
Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125
Answer:
0.1056
Step-by-step explanation:
Mean(μ) = 12 ounce
Standard deviation (σ) = 0.2 ounce
P(x<11.75) = ???
Let x be the random variable for the amount of soda a machine will dispense.
Using normal distribution
Z = (x - μ) / σ
Z = (11.75 - 12) / 0.2
Z = (-0.25)/0.2
Z = -1.25
From the normal distribution table
1.28 is 0.3944
Φ(z) is the tabular value of z
Φ(z) = 0.3944
Recall that when Z is negative
P(x<a) = 0.5 - Φ(z)
P(x < 11.75) = 0.5 - 0.3944
= 0.1056
Answer: 599.42 games
To answer this question, you need to calculate the revenue for every game sold first. The calculation would be:
Revenue= sell cost - manufacture cost= $20-$2.65= $17.35/game.
Break even is the point when the game manufacturing cost(equipment cost included) is covered by the revenue you got. Then the calculation would be:
total game cost= revenue per game * number of game sold
$10400= number of game sold * $17.35
number of game sold= 10400/17.35= 599.42 games
