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DaniilM [7]
3 years ago
13

What is the value of x in the solution to the following system of equations?

Mathematics
1 answer:
Tanya [424]3 years ago
5 0
x. =2 and y= 0 is the values of given linear equation
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43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are go
malfutka [58]

Answer:

0.85% probability that the first two are good and the last three are spoiled

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

2 spoiled, from a set of 43-11 = 32.

3 spoiled, from a set of 11.

So

D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080

Total outcomes:

5 jugs from a set of 43.

T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760

Probability:

p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085

0.85% probability that the first two are good and the last three are spoiled

4 0
3 years ago
Factor the polynomial completely
aliina [53]

We have 2x^2-8.




First let us factor the 2 to obtain,


2(x^2-4)


We can now see clearly that the expression inside the parentheses is a difference of two squares.



We now write the 4 as 2². So that we obtain the expression,



2(x^2-2^2)


Recall that


a^2-b^2=(a+b)(a-b)



Hence our expression becomes,




2(x+2)(x-2)



Therefore, when factored completely,




2x^2-8=2(x+2)(x-2)






5 0
3 years ago
All points on a given line have their y-coordinate as 9. What is the equation of this line? A. x + y = 9 B. x – y = 9 C. x = 9 D
Phoenix [80]

D. y = 9 because it has a complete zero slope while the y-intercept of the equation is 9, so the equation is y = 9.

4 0
3 years ago
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Let P = 0.5 0.1 0.5 0.9 be the transition matrix for a Markov chain with two states. Let x0 = 0.5 0.5 be the initial state vecto
max2010maxim [7]

Answer:

Complete solution is given in the images attached below for better demonstration

7 0
3 years ago
Marina simplified the expression 4x + 5(–4x – b) – (x – 2) to be –17x – 8.
Grace [21]

Answer: C. 2

Step-by-step explanation:

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