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andrew-mc [135]
3 years ago
5

What is the sum of the arithmetic series

Mathematics
1 answer:
docker41 [41]3 years ago
6 0

Answer:

S_ {12} = 192

Step-by-step explanation:

The nth term of the given arithmetic sequence is

U_n = 3 + 2n

The first term of this series is:

U_1 = 3 + 2(1) = 5

The last term of this series is when

n = 12

U_ {12}= 3 + 2(12)

U_ {12}= 3 + 24 = 27

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

S_n =  \frac{n}{2}(a + l)

Where a=5 is the first term and l=27 is the last term.

S_ {12} =  \frac{12}{2}(5 + 27)

S_ {12} =6(32) =19 2

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Commutative property for 70*6000
Crazy boy [7]
(70*6000 = 420000) (6000*70 = 42000)

Bolded is the answer. 
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3 years ago
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According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with a mean of 23.4 ce
stiv31 [10]

Answer: 22.0.6%

Step-by-step explanation:

Given : According to a human modeling​ project, the distribution of foot lengths of women is approximately Normal with \mu=23.3\ cm and \sigma=1.3\ cm.

In the United​ States, a​ woman's shoe size of 6 fits feet that are 22.4 centimeters long.

Then, the probability that women in the United States will wear a size 6 or​ smaller :-

P(x\leq22.4)=P(z\leq\dfrac{22.4-23.4}{1.3})\ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\\approx P(z\leq-0.77)\\\\=1-P(z\leq0.77)\\\\=1-0.77935=0.2206499\approx0.2206=22.06\%

Hence,  the required answer = 22.0.6%

4 0
3 years ago
A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca
mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

<em>A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.</em>

<em>Answer:</em>

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

<em>Fetching data from Question:</em>

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

<em>a) How many miles a car will travel in one hour?</em>

<em>b) How many miles will the car travel in 4 hours?</em>

<em>Calculation:</em>

<em>a) How many miles a car will travel in one hour?</em>

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

                      i.e. 60/1.6 = 37.5 miles per hour  

So, the car will travel 37.5 miles in one hour.

<em>b) How many miles will the car travel in 4 hours?</em>

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

                                 The distance =  speed × time

                                                        =  37.5  × 4

                                                        =  150 miles

So, the car travel 150 miles in 4 hours.

<em />

<em>Keywords: distance, speed, kilometers, miles</em>

<em> learn more about distance travel and speed from brainly.com/question/12580265 </em>

<em> #learnwithBrainly</em>

4 0
3 years ago
PLEASE HELPPPPPPP!!!!!!
Tpy6a [65]

Answer:

$64.80

Step-by-step explanation:

First, calculate the sales tax

Convert 8% into a decimal

8/100=0.08

Multiply the decimal by the cost of the game

60*0.08=4.8

$4.80 is just the tax, we have to find the total cost

Add the tax and the cost of the game

60+4.80=64.80

So, the total cost is $64.80

Hope this helps! :)

8 0
3 years ago
Read 2 more answers
If f(x) = 5x²+2x-10, find f(6) - f (3)​
vlada-n [284]

Answer:

681

Step-by-step explanation:

5x6=30

30x30=900

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900+2=902

5x3=15

15x15=225

2x3=6

6-10=-4

225-4=221

902-221=681

8 0
3 years ago
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