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stealth61 [152]
3 years ago
11

Which linear inequality is represented by the graph?

Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

Answer:

D

Step-by-step explanation:

y<2/3 x-1 is the answer

monitta3 years ago
5 0

Answer:

D

Step-by-step explanation:

The correct answer is D

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-1/5, 5/6,1.3,1 1/3, 5/3 -4/3 least to greatest
Sergeeva-Olga [200]
I DK I DK I DK I DK but maybe it’s already in that order
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3 years ago
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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

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

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

And p is the probability of X happening.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
3 years ago
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The what of a term is its numerical factor
juin [17]
A numerical factor<span> of a </span>term<span> is any number that can be factored out of the coefficient.</span>
3 0
4 years ago
Charlie makes 9 dollars for each week of work. Write an equation to represent his total pay p after working h hours
sertanlavr [38]

Answer:

p = 9h

Step-by-step explanation:

:-)

3 0
3 years ago
Paul and Charlene are 420 miles apart. They start toward each other with Paul driving 16 mph faster than Charlene. They meet in
Thepotemich [5.8K]

Answer:

34 mph.    

Step-by-step explanation:

Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.

Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.  

Now we will use formula \text{Speed}=\frac{\text{Distance}}{\text{Time}}. Upon using our given information we will get two equation and two unknowns as:  

x+16=\frac{420-y}{5}...(1)

x=\frac{y}{5}...(2)

Upon substituting x=\frac{y}{5} in 1st equation we will get,

\frac{y}{5}+16=\frac{420-y}{5}

Upon multiplying both sides of our equation by 5 we will get,

5(\frac{y}{5}+16)=420-y

5\times\frac{y}{5}+5\times 16=420-y    

y+80=420-y

y+80+y=420-y+y

2y+80=420

2y=420-80

2y=340

y=\frac{340}{2}  

y=170      

Upon substituting y=170 in 2nd equation we will get,

x=\frac{170}{5}

x=34

Therefore, Charlene's speed is 34 miles per hour.


6 0
3 years ago
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