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3 years ago

What is y greater then or equal to 2x on a graph

Mathematics

1 answer:

Juliette [100K]3 years ago

5 0

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e. y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e. x+y ≥ 45 ------------(2)

and x is less than or equal to 30.

i.e. x ≤ 30 -----------(3)

On plotting these inequalities we get the boundary points as:

(15,30) , (30,60) and (30,15)

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

Minimize P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

P= 1560

at (30,15) we get:

P= 840

This means that the minimal value of the function is 780

and the value exist at (15,30)

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hram777 [196]

Answer and Step-by-step explanation:

This is a complete question

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the nullhypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution.

The computation is shown below:

The null and alternative hypothesis is

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$Ha : p < 0.80$

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Now Test statistic = z

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$= 0.7629 - 0.80 / [\sqrt(0.80 \times 0.20) / 97]$

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Now

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$\alpha = 0.01$

$P-value > \alpha$

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4 years ago

What is the area of a parallelogram that has a base of 12 3/4 inches and a height of 2 1/2 inches

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saveliy_v [14]

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then we may split the triangle along it's altitude into two special right triangles
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this means that the side with 30 degrees will be some value "x" where the side for 60 degrees will be related as it is "x*sqrt(3)" and the hypotenuse (which would be the side of the triangle) would be proportionally "2x"

this would mean that the altitude is the side associated with the 60 degree angle as such we can solve for "x" using this.

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