20 POINTS PLS HELP ASAP!!!
1 answer:
Answer:
- 10+x
- 16-2x
- -2x^2 -4x +160 ≥ 130
- $12 or $13
- $3
Step-by-step explanation:
If x represents the number of $1 increases from $10 in the cost of the buffet, then the cost per customer is ...
c(x) = 10 +x
If n represents the number of customers for a given number of $1 increases (x), then we have ...
n(x) = 16 -2x
The revenue will be the product of these:
r(x) = c(x)n(x) = (10 +x)(16 -2x)
r(x) = -2x^2 -4x +160
Then the desired inequality is ...
r(x) ≥ 130
-2x^2 -4x +160 ≥ 130
The solution to this is ...
-2x^2 -4x +30 ≥ 0 . . . .subtract 130
x^2 +2x -15 ≤ 0 . . . . . . divide by -2
(x +5)(x -3) ≤ 0
The factors both have the same sign (hence a positive product) for x < -5 or x > 3. One of them is negative in the interval (-5, 3), so that is the solution to the inequality.
-5 ≤ x ≤ 3
Noah could charge $12 or $13 and maintain his revenue.
The maximum possible increase that maintains Noah's revenue is $3. This is the upper end of the solution space for the inequality.
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Answer:
95 percent confidence interval for μ is determined by
(60.688 , 69.312)
a) be the same
Step-by-step explanation:
<u>Step (i)</u>:-
Given data a random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph.
The sample size is n= 121
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (ii) :</u>-
Given The 95 percent confidence interval for μ is determined as
(61.08, 68.92)
we are to reduce the sample size to 100 (other factors remain unchanged) so
given The sample size is n= 100
The mean of the sample x⁻ = 65mph.
The standard deviation of the population is 22 mph
σ = 22mph
<u>Step (iii)</u>:-
95 percent confidence interval for μ is determined by
(65 - 4.312 ,65 +4.312)
(60.688 , 69.312) ≅(61 ,69)
This is similar to (61.08, 68.92) ≅(61 ,69)
<u>Conclusion</u>:-
it become same as (61.08, 68.92)
Answer:
C
Step-by-step explanation:
Answer:
a)
b) 334,858 bacteria
c) 4.67 hours
d) 2 hours
Step-by-step explanation:
a) Initial number of bacteria is the coefficient, that is, 250. And the growth rate is the coefficient besides “t”: 0.15. It’s rate of growth because of its positive sign; when it’s negative, it’s taken as rate of decay.
Another way to see that is the following:
Initial number of bacteria is N(0), which implies . And
. The process is:
b) After 2 days means . So, we just replace and operate:
c)
d)