Answer:
The y intercept is (0,-1)
Step-by-step explanation:
To find the y intercept, let x = 0
y = -x^2 -6x-1
y = -0^2-6(0) -1
y = -1
The y intercept is (0,-1)
Hi there,
5x?=110 ?=22
how? 110/5=22
now 2x?=110
110/2=55 ?=55'
so we know now that people bought 22 packages with card and 55 w/th out cards!
so no we need to divide 695/both
695/5=139 packages with cards
695/2=347 packages without cards
SO
139 packages with card
347 packages without card
Answer:
$3.25
Step-by-step explanation:
Given that:
Mean, λ = 1.4
Strike within next minute = $3 won
Strike between one and 2 minutes = $5
Strike more than 2 minutes = $1
Probability that next strike occurs within the next minute :
Using poisson :
P(x < 1) = 1 - e^-(λx) ;
P(x < 1) = 1 - e^-(1.4*1) = 1 - e^-1.4
P(x < 1) = 1 - 0.2465969
P(x < 1) = 0.7534030
Next strike occurs between 1 and 2 minutes :
(1 < x < 2) :
P(x < 2) - P(x < 1)
P(x < 2) = 1 - e^-(λx) ;
P(x < 2) = 1 - e^-(1.4*2) = 1 - e^-2.8
P(x < 2) = 1 - 0.0608100
P(x < 2) = 0.9391899
P(x < 2) - P(x < 1)
0.9391899 - 0.7534030 = 0.1857869
P(striking after 2 minutes)
P(x > 2) = e^-(λx) ;
P(x > 2) = e^-(1.4*2) = e^-2.8
P(x > 2) = 0.0608100
Amount charged :
(0.7534030 * 3) + (0.1857869 * 5) + (0.06081 * 1)
= 3.2499
= $3.25
If my multiplication is right the answer is <span>321.625</span>
Let x represent the number.
"three times a number" is 3x
eight less than "three times a number" is 3x-8
"is more than 22" is "> 22"
Your inequality is
3x-8 > 22