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lina2011 [118]
3 years ago
14

HELP PLEASE ! How can constraints be used to model a real-world situation?

Mathematics
1 answer:
iris [78.8K]3 years ago
5 0
It can be used to hold a prisoner for the police
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You are ordering a hamburger and can get up to 7 toppings, but each topping can only be used once. You tell the cashier to surpr
natima [27]

Answer:

Probability, P(getting 2 toppings)= 0.1984

Step-by-step explanation:

Probability, P(1 toppings)= 1/7

Probability P of getting a particular topping is q = 1 - P = 1 - 1/7 = 6/7

Probability of( getting 2 toppings)= 7!/(2!5!)(1/7)^2 × (6/7)^5

P(getting 2 toopings)= (5040/240) × (0.020)× (0.4627)

P(getting 2 toppings)= 21 × 0.00948 = 0.1984

6 0
3 years ago
The average gasoline price of one of the major oil companies in Europe has been $1.25 per liter. Recently, the company has under
Ann [662]

Answer:

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

Step-by-step explanation:

Data given and notation  

\bar X=1.20 represent the sample mean given

\sigma = 0.14 represent the population standard deviation

n=49 sample size  

\mu_o =1.25 represent the value that we want to test

t would represent the statistic (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean for the gasoline prices is lower than 1.25, the system of hypothesis would be:  

Null hypothesis:\mu \geq 1.25  

Alternative hypothesis:\mu < 1.25  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{1.20-1.25}{\frac{0.14}{\sqrt{49}}}=-2.50    

5 0
3 years ago
Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her
konstantin123 [22]
Her total pay that week was $660
5 0
2 years ago
If Olivia traveled 70 miles in 2.5 hours, how many miles will Olivia travel in 9.5 hours at the same constant speed?
Lapatulllka [165]

Answer:

266 miles

Step-by-step explanation:

You need to divide 70 by 2.5 equals 28. Than you need to times that by 9.5.

5 0
3 years ago
Read 2 more answers
Determine the discriminant of x2 = 4. <br><br> A. 17 <br> B. 16 <br> C. -15 <br> D. -10
tino4ka555 [31]
The discriminant is b<span>²-4ac
We can rewrite x</span>² = 4 to x<span>² + 0x - 4 = 0
So a = 1, b = 0, c = -4
</span>Δ = 0 - 4 * 1 * -4
Δ = 16
The answer is B
6 0
3 years ago
Read 2 more answers
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