Answer:
line
Step-by-step explanation:
quizlet
cliffnotes
<span>Let a_0 = 100, the first payment. Every subsequent payment is the prior payment, times 1.1. In order to represent that, let a_n be the term in question. The term before it is a_n-1. So a_n = 1.1 * a_n-1. This means that a_19 = 1.1*a_18, a_18 = 1.1*a_17, etc. To find the sum of your first 20 payments, this sum is equal to a_0+a_1+a_2+...+a_19. a_1 = 1.1*a_0, so a_2 = 1.1*(1.1*a_0) = (1.1)^2 * a_0, a_3 = 1.1*a_2 = (1.1)^3*a_3, and so on. So the sum can be reduced to S = a_0 * (1+ 1.1 + 1.1^2 + 1.1^3 + ... + 1.1^19) which is approximately $5727.50</span>
Answer:
#1 x=3 (the furthest to the left on top)
#2 x=4 (below both questions)
#3 x=2 (farthest to the right)
Step-by-step explanation:
Answer:
a) the proportion is 0.159 (15.9%)
b) the proportion is 0.524 (52.4%)
c) Ralph is 70.958 inches tall
Step-by-step explanation:
defining our random variable X= heights of men , then we can define the standard random variable Z as
Z= (X- μ)/σ , where μ is the population's mean and σ is the corresponding standard deviation of X
then for X=72
Z= (X- μ)/σ
Z= (72-68)/4 = 1
a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)
b) for X=64 and X=74
Z₁= (64 -68)/4 = -1
Z₂= (74-68)/4 = 1.5
then
P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) = 0.933- 0.159 =0.774
c) Z₃ = 0.933 - 0.774*0.25 = 0.7395
thus
Z₃= (X₃- μ)/σ →X₃ =μ+ Z₃*σ = 68 + 0.7395*4 = 70.958 inches
therefore Ralph is 70.958 inches tall
Answer:
Step-by-step explanation:
f(x) + n - shift the grapf n units up
f(x) - n - shift the grapf n units down
f(x + n) - shift the grapf n units to the left
f(x - n) - shift the grapf n units to the right
-f(x) - reflection about the x-axis
f(-x) - reflection about the y-axis
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Look at the picture.
move the graph 2 units to the right and 1 unit up
move the graph 4 units down
reflection the graph about the X axis.
