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Dimas [21]
3 years ago
11

Please help ASAP!!!!!

Mathematics
1 answer:
Murrr4er [49]3 years ago
5 0

Answer:

<em>First term of the given series = 4</em>

<em>The last term of the given series = 11</em>

Step-by-step explanation:

<u><em>Explanation</em></u>

<em>Given that the sum of the series</em>

<em>                   ∑⁸ₙ₋₁  (n+3)</em>

The n^{th} term of the given sequence

           aₙ = (n+3)

Put n=1

         a₁ = 1+3 = 4

Put n=2

        a₂ = 2+3 =5

Put n=3

       a₃ = 3+3 = 6

Put n=4

     a₄ = 4+3 =7

Put n=5

    a₅ = 5+3 =8

Put n=6

   a₆ = 6+3 =9

Put n=7

  a₇ = 7+3 = 10

Put n=8

  a₈ = 8+3 =11

The sequence of the given series

          4,5,6,7,8,9,10,11

<u><em>Final answer:-</em></u>

<em>First term of the given series = 4</em>

<em>The last term of the given series = 11</em>

<em>             </em>

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Answer:

Time required by Ben was 12 minutes.

Step-by-step explanation:

Given:

Time Required for Fred = 16 mins

Ben completed his run in 3/4 of the amount of time of Freds run.

We need to find the time required by Ben.

Now Given that;

Ben completed his run in 3/4 of the amount of time of Freds run.

It means that time required by Ben is equal to 3/4  times time required by Fred.

Time required by Ben = \frac{3}{4}\times  Freds \ run

Time required by Ben = \frac{3}{4}\times 16 = 12\ mins

Hence Time required by Ben was 12 minutes.

7 0
3 years ago
Please help.................................................................................................
Sunny_sXe [5.5K]

Answer:

Step-by-step explanation:

L = 3*w + 1                      Given

P = 2*(L + w)                   Formula for Perimeter. Substitute for L    

P = 2*(3w + 1 + w)           Combine

P = 2*(4w + 1)                  

P = 58                             Given

58 = 8w + 2                    Remove the brackets

58 - 2 = 8w                     Subtract 2

56 = 8*w                         Divide by 8

56/8 = w

7 = w

================

Find L

L = 3*w + 1

L = 3*7 + 1

L = 22

================

Check

2L + 2W  = 58

2*22 + 2*7 =? 58

44 + 14 = ? 58

58 = 58

The answer checks.

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3 years ago
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2 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

(\sqrt{n})^{2} = (\frac{1.645*79.5}{4})^{2}

n = 1068.92

Rounding up

We need to sample at least 1069 parents.

6 0
3 years ago
Read 2 more answers
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