4y + 228 = 352
4y = 352 - 228
4y = 124
--- ----
4 4
------------
| y = 31 |
------------
hope this helps
Answer:
Option (1).
Step-by-step explanation:
Statement given states that "A canary's beak is, at most 20 mm long."
Word "at most" means "the maximum".
So at most length of the beak means "length of the beak is less than equal to 20 mm".
And the expression representing this statement algebraically will be,
x ≤ 20
Therefore, option (1) will be the correct option.
Answer:
0.44
Step-by-step explanation:
Given the estimated logistic regression model on risk of having squamous cell carcinoma
-4.84 + 4.6*(SMOKER)
SMOKER = 0 (non-smoker) ; 1 (SMOKER)
What is the predicted probability of a smoker having squamous cell carcinoma?
exp(-4.84 + 4.6*(SMOKER)) / 1 + exp(-4.84 + 4.6*(SMOKER))
SMOKER = 1
exp(-4.84 + 4.6) / 1 + exp(-4.84 + 4.6)
exp^(-0.24) / (1 + exp^(-0.24))
0.7866278 / 1.7866278
= 0.4402863
= 0.44
Answer: 0.0497870 ; 0.87754
Step-by-step explanation:
Given that :
λ = 0.0003
Defining a continuous distribution function :
F(x) = 1 - e^-λx = 1 - e^-0.0003x ; x ≥ 0
a. What proportion of the fans will last at least 10,000 hours?
P(x ≥ 10000) = e^-0.0003(10000) = 0.0497870
b. What proportion of the fans will last at most 7000 hours?
P(x ≥ 7000) = 1 - p(x ≤ 7000) = 1 - e^-0.0003(7000)
1 - 0.12245642825 = 0.87754
<span>let
x = acres of when
y = acres of rye
Maximize
z = 500x + 300y
subject to
x >= 3
x <= 15
y >= 1
y <= 7
x + y <= 20
bounded
both
(3, 1)
(15, 1)
(15, 5)
(13, 7)
(7, 3)
sub points into your max equation
(3, 1) = 1500 + 300 = 1800
(15, 1) = 7500 + 300 = 7800
(15, 5) = 7500 + 1500 = 9000
(13, 7) = 6500 + 2100 = 8600
(7, 3) = 3500 + 900 = 4400
max profit of $9,000 is achieved when 15 acres of wheat and 5 acres of rye are planted and sold</span>
