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kobusy [5.1K]
3 years ago
11

Use the given information to determine if the geometric series converges or

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:

c) The series diverges. There is no sum.

Step-by-step explanation:

A geometric series is a series of the form:

S = \Sigma_{i=0}^{n} a\cdot r^{i}, \forall i \in \mathbb{N}_{O}

Where:

a - First term of the series, dimensionless.

r - Common ratio, dimensionless.

A geometric series converges only if |r| < 1. As r > 1, the geometric series diverges. Hence, the right answer is C.

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Find the measure of each angle in the triangle.
ValentinkaMS [17]

Answer:

x=26°

Step-by-step explanation:

3x-14+x+90=180

4x-14=90

4x=104

x=104/4

x=26°

6 0
3 years ago
A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a​ single-strand electric
otez555 [7]

Answer:

dimension are 350 m and 350 m  and

area is 122500 m²

Step-by-step explanation:

Given data

perimeter is 700 m

to find out

the largest area and its​ dimensions

solution

we consider x and y are the sides

so area is xy

perimeter is 2x+ y = 700

so we can say y = 700 -2x

so area will be = x (700 - 2x)

area = 700x - 2x²

we take derivative here and equal to zero

dA/dt = 700x - 2x²

700 - 4x = 0

x = 700/4

x = 175

so will be

y = 700 -2x

y = 700 -2(175)

y = 350

so dimension are 350 m and 350m

area is 122500 m²

3 0
3 years ago
Among all rectangles having a perimeter of 25m, find the dimensions of the one with the largest area​
Katen [24]

Answer:

Square with side length 25/4 m

Step-by-step explanation:

The area is always going to be largest for a rectangle when the two dimensions are equal.  You are looking for a square. What square has perimeter 25? 4s=25 so the side length of this rectangle (Square) is 25/4 m.

7 0
3 years ago
Read 2 more answers
I need help ASAP. This is multiple choice
kvv77 [185]

Answer:

the answer is 3

Step-by-step explanation:

7 0
3 years ago
The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
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