1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga nikolaevna [1]
3 years ago
15

How is the sum expressed in sigma notion? Multiple choice

Mathematics
2 answers:
grandymaker [24]3 years ago
6 0

Answer:

The given sum expressed in sigma notation is

<h3>\sum\limits_{i=1}^{5}4^{i-4}</h3><h3>Therefore \sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4</h3>

Step-by-step explanation:

Given series is \frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4

The given sum expressed in sigma notation is

<h3>\sum\limits_{i=1}^{5}4^{i-4}</h3>
  • Now verify that the sigma notation \sum\limits_{i=1}^{5}4^{i-4} is correct or not
  • Now expand the series
  • \sum\limits_{i=1}^{5}4^{i-4}=4^{1-4}+4^{2-4}+4^{3-4}+4^{4-4}+4^{5-4}  
  • =4^{-3}+4^{-2}+4^{-1}+4^{0}+4^{1}  ( using the properties a^{-m}=\frac{1}{a^m} and a^0=1 )
  • =\frac{1}{4^3}+\frac{1}{4^2}+\frac{1}{4^1}+1+4
  • =\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4
<h3>Therefore </h3><h3>\sum\limits_{i=1}^{5}4^{i-4}=\frac{1}{64}+\frac{1}{16}+\frac{1}{4}+1+4</h3>
  • Hence verified

Veronika [31]3 years ago
5 0

Answer:

Option 2

Step-by-step explanation:

1/64 = 4^-3

1/16 = 4^-2

1/4 = 4^-1

1 = 4^0

4 = 4^1

You might be interested in
What is the equivalent fractions for 6/48 and 20/30
irga5000 [103]

Answer: 1/8 and 12/96


Step-by-step explanation:


6 0
3 years ago
Ms. Wilson studied her biology students' homework and test scores. She found that students who completed more homework did not
Nataly [62]

Answer:

The Answer is the Number 2,

I mean Point #2!

I Hope this WORKS! 100%

3 0
3 years ago
An airline charges the following baggage fees: $25 for the first bag and $35 for the second. Suppose 51% of passengers have no c
Orlov [11]

Answer:

The average revenue per passenger is about $13.85

μ = $13.85

The corresponding standard deviation is $14.51

σ = $14.51

The airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

Expected revenue = $1,662 ± 14.51

Step-by-step explanation:

An airline charges the following baggage fees:

$25 for the first bag and $35 for the second

Suppose 51% of passengers have no checked luggage,

P(0) = 0.51

33% have one piece of checked luggage and 16% have two pieces.

P(1) = 0.33

P(2) = 0.16

a. Build a probability model, compute the average revenue per passenger, and compute the corresponding standard deviation.

The average revenue per passenger is given by

μ = 0×P(0) + 25×P(1) + 35×P(2)

μ = 0×0.51 + 25×0.33 + 35×0.16

μ = 0 + 8.25 + 5.6

μ = $13.85

Therefore, the average revenue per passenger is about $13.85

The corresponding standard deviation is given by

σ = √σ²

Where σ² is the variance and is given by

σ² = (0 - 13.85)²×0.51 + (25 - 13.85)²×0.33 + (35 - 13.85)²×0.16

σ² = 97.83 + 41.03 + 71.57

σ² = 210.43

So,

σ = √210.43

σ = $14.51

Therefore, the corresponding standard deviation is $14.51

b. About how much revenue should the airline expect for a flight of 120 passengers? With what standard deviation?

For 120 passengers,

Expected revenue = 120×$13.85

Expected revenue = $1,662 ± 14.51

Therefore, the airline should expect revenue of $1,662 with a standard deviation of $14.51 for a flight of 120 passengers.

6 0
3 years ago
What percent of 950 is 2​
Dima020 [189]

Answer: 0.21%

Step-by-step explanation: Please mark me brainlist

Step 1: We make the assumption that 950 is 100% since it is our output value.

Step 2: We next represent the value we seek with x

Step 3: From step 1, it follows that 100% = 950

Step 4: In the same vein x% = 2

Step 5: This gives us a pair of simple equations: 100% = 950(1)

x% = 2(2)
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have
100%/x% = 950/2

Step 7: Taking the inverse (or reciprocal) of both sides yields
x%/100%/ 2/950
---> 0.21%

6 0
2 years ago
Find the area of the sector round to the nearest hundredth.
DIA [1.3K]

Answer:

41.89 units

Step-by-step explanation:

Area of a sector: Θ/360 * (pi)(r)^2

6 0
3 years ago
Other questions:
  • Use substitution to solve the linear system of equations.
    5·1 answer
  • Whats 7589 divided by 4 to the 9th power and then multiply the answer and add 5 to that answer
    7·1 answer
  • Write (3x + 2)2 in expanded form using the polynomial identity (x + y)2 = x2 + 2xy + y2.
    11·1 answer
  • Jeremy bought 5.6 pounds of chocolate. Jeremy's friend Susan bought twice as much chocolate as he did. How much more chocolate d
    9·1 answer
  • In order to compare functions we need to identify the
    5·1 answer
  • An angle whose measure is -302° is in standard position. In which quadrant does the terminal side of the angle fall?
    11·2 answers
  • The diameter of a circle is 12 inches. What is the radius?
    15·2 answers
  • Help me pls thanks so much
    6·1 answer
  • An equation with real coefficients has (1-i), 3, and 4 among its roots. What is the lowest possible degree of the equation?
    5·1 answer
  • PLEASE ANSWER THE QUESTION BELOW ASAP !!!!!
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!