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4 years ago

What is the sum of the terms of the series (−1) + (−2) + (−3) + . . . + (−10)?

1 answer:

8 0

You can solve this problem by using the Gauss method. The Gauss method is a method where you can add the first and last numbers together, and then multiply by how many times that appears. Here, the sum of the first and last number is -11. In this sequence, it would appear ten times (since there are ten terms and the terms are used twice in every eleven). -11 * 5 is -55, so that means the answer to this question is -55.

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The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d

liberstina [14]

Answer: 0.0516

Step-by-step explanation:

Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of $\lambda=20$ .

The probability mass function for Poisson distribution:- $P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}$

For x= 15 and $\lambda=20$ , we have

$P(X=x)=\dfrac{e^{-20}(20)^{15}}{15!}=0.0516488535318\approx0.0516$

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516

7 0

3 years ago

The 100th term of 9, 93, 95, 97, ...

12345 [234]

Answer:

207

Step-by-step explanation:

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3 years ago

You are choosing between two different cell phone plans. The first plan charges a rate of

Zolol [24]

Answer:

at least 450 minutes

Step-by-step explanation:

Find an expression for the cost of each plan as a function of the number of minutes. Set the expressions equal to each other, and solve for the number of minutes.

Let x = number of minutes.

First plan:

cost (in dollars) = 0.21x

Second plan:

cost (in dollars) = 0.11x + 44.95

Set the expressions equal:

0.21x = 0.11x + 44.95

Subtract 0.11x from both sides.

0.1x = 44.95

Divide both sides by 0.1

x = 44.95/0.1

x = 449.5

Since you cannot have a fraction of a minute, the answer is 450 minutes.

3 0

2 years ago

Help with this please lol

NeTakaya

Answer:

x = 107

Step-by-step explanation:

44+29+107=180

a triangle equals 180 with all the degrees added together :)

7 0

3 years ago

Any good anime recommendations?

Arte-miy333 [17]

Answer:

attack on titans

3 0

3 years ago

Read 2 more answers