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2 years ago

Question 3 of 5

Mathematics

1 answer:

allochka39001 [22]2 years ago

5 0

Answer:

only Y

Step-by-step explanation:

all the others have for at least 1 value of x more than one different y values defined.

but a function must be clear about the association between an x unit value and the corresponding result.

many different input values can have the same functional result. but there can be only one defined result per input value. otherwise it is not a function.

you cannot say 1+1 = 2 or 3. it is either 2 or 3, but you need to define what. you can't leave it open.

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Answer:

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Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

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c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

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Step-by-step explanation:

Hey there!

The equation is; y= -3x

or, 3x+y = 0.......... (I)

From equation (I)

$slope(m1) = \frac{ - coeff. \: of \: x}{coeff. \: of \: y}$

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Therefore, m= -3

Now, As per the condition of perpendicular lines;

M1*M2 = -1

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