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3 years ago

Find the midpoint of the segment with the following endpoints. (10,6) and (6,10)

Mathematics

1 answer:

svlad2 [7]3 years ago

4 0

Answer:

(8,8)

Step-by-step explanation:

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Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

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: $\lambda=2\cdot 2.1=4.2$

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

Therefore, the probability is P(X>3)=0.605.

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.

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

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

3 years ago

three consecutive intergers have a sum of 30. Which equation can be used to find x, the value of the smallest of three numbers

prohojiy [21]

Answer:

x+ x+1 + x+2 = 30

3x+3 =30

Step-by-step explanation:

Let x be the smallest integer

x+1 be the next smallest

x+2 be the third

x+ x+1 + x+2 = 30

Combine like terms

3x+3 =30

8 0

3 years ago

A football is selling for $35 off the original price. The original price was $60. What is the sale price of the football?

Strike441 [17]

All you have to do it do 60 - 35 = 25 dollars because they want to know if the original price would be 60 dollars and they wanna know the anwser if you took away 35 dollars. so then you just subtract

5 0

3 years ago

Write a subtraction fact with the same difference as 16-7

Alex73 [517]

Answer:

10-1

Step-by-step explanation:

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3 years ago

Jorge has 2% + 1 saved in his piggy bank. Lou Ellen has X-2 saved in the bank. What is

svp [43]

Answer:

yeyeyeeyeyeeyeey

Step-by-step explanation:

4 0

2 years ago