Answer:

Step-by-step explanation:
we have

If f(x) is shifted 2 units to the right
then
The rule of the translation is

so


Answer:
219
Step-by-step explanation:
do total minus base fee which is
218.28-18.99=199.29
and than
199.29(which is money paid on miles) divided by 91. which is 219
Answer and Step-by-step explanation:
A) Probability of taken two odd numbered token without replacement:
P(3) = 2/5 = 0.4
P(7) = 1/4 = 0.25
Construct a probability distribution:
X 3 7
p(X) 0.4 0.25
B) Mean of the probability distribution:
E(X) = ∑xp
E(X) = 3*0.4 + 7*0.25
E(X) = 2.95
Variance of the probability distribution:
V(X) = ![\Sigma X^{2}p - [E(X)]^{2}](https://tex.z-dn.net/?f=%5CSigma%20X%5E%7B2%7Dp%20-%20%5BE%28X%29%5D%5E%7B2%7D)
V(X) = 
V(X) = 7.1475
<u>Mean</u><u> and </u><u>variance</u><u> of the probability distribution are </u><u>2.95</u><u> and </u><u>7.145</u><u>, respectively.</u>
Answer:
<em><u>The equality is true</u></em>
Step-by-step explanation:
<em><u>x+(y+z)=(x+y)+z</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for y</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/8</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24</u></em>
<em><u>x+(y+z)=(x+y)+zwhen we plug in -4/15 for x,-4/5 for yand 17/8 for z,we get-4/15+(-4/5+17/8)=(-4/15+-4/5)+17/817/24=17/24so this equality is true</u></em>
The expression that signifies Katherine’s final cost F= P + T= $466
<h3>Calculation of final cost</h3>
The number of pansies to be arranged around each tree = 15 pansies
The cost of pansies(P) = 15 × 8 × 2.50 = $300
The number of juniper trees available = 8
The cost of the trees available(T) = 8 × 20.75= $166
Therefore Katherine's final cost(F)= $300 + $166 = $466
The expression to find Katherine’s final cost = F= P + T
Learn more about addition here:
brainly.com/question/24536701
#SPJ1