MATHEMATICS HIGH SCHOOL

Evaluate the summation of 20 times 0.5 to the n minus 1 power, from n equals 3 to 12.

Answers

Answer 1
Answer:

Answer:

The sum of the series is 9.99

Step-by-step explanation:

We are given the series \sum_(n=3)^(12)20(0.5)^(n-1).

So, a_(n)=20(0.5)^(n-1), where n=3 to 12

Then, we have,

1.\ a_(3)=20(0.5)^(3-1)\na_(3)=20(0.5)^(2)\na_(3)=5

2.\ a_(4)=20(0.5)^(4-1)\na_(4)=20(0.5)^(3)\na_(4)=2.5

Thus, the common ratio is r=(2.5)/(5)=0.5

Since, the sum of first n terms of a series is S=(a_(1)(1-r^(n)))/(1-r).

As n = 3 to 12, then the number of terms = 10, first term=a₃= 5 and r= 0.5

So, the sum of 10 terms is S=(5(1-(0.5)^(10)))/(1-0.5)

i.e. S=(5(1-0.00098))/(0.5)

i.e. S=(5* 0.99902)/(0.5)

i.e. S=(4.9951)/(0.5)

i.e. S = 9.99

Hence, the sum of the series is 9.99
Answer 2
Answer:

Answer: 9.99

Step-by-step explanation:

I just took the quiz!

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Suppose P is between M and N. If MN = 10, MP = x-3, and PN = x+1, what is the value of x?

A family wants to have 4 children. Design and do a simulation to determine the probability that, if they do have 4 children, they will have two boys and two girls. (Hint: Use coins.)

Answers

Let B represent boy and G represent girl, Then sample space

BBBB, BBBG, BBGB, BGBB, GBBB, BBGG, BGBG, GBBG, BGGB, GBGB, GGBB, BGGG, GBGG, GGBG, GGGB, GGGG

Two boys and two girls appeared in 6 situations.

Therefore, P(6 boys and 6 girls) = 6/16 = 3/8

Answer:

Using B as the boy and G as the girl, sample space

GGBB, BGGG, GBGG, GGBG, GGGB, GGGG, BBBB, BBBG, BBGB, BGBB, GBBB, BBGG, BGBG, GBBG, BGGB, GBGB, GGGG

Six different scenarios featured two boys and two girls.

P(6 boys and 6 girls) = 6/16 = 3/8 as a result.

Step-by-step explanation:

rahehehe

Choose the most precise measurement?
A. 8 mL
B. 12 mL
C.1 mL
D. 0.05 mL

Answers

D. 0.05 is most precise as it is has the greatest number of numbers after the decimal place.

Whats ten hundredths in standard form

Answers

0.1

Further explanation

This question about converting unit forms into standard forms.

  • A standard form is written in number form
  • A unit form is writing a number using place value units

Let's convert ten hundredths in standard form

\boxed{ \ 10 * (1)/(100) = (10)/(100) = (1)/(10) = 0.1} \ }

Thus, ten hundredths in standard form (or standard notation) is 0.1.

We call it 'one-tenth', it's a small number of less than 1.

Note:

Let's recall the place value.

Thousand | Hundred | Unit | (Decimal Point) | Tenth | Hundredth | Thousandth

Decimal point tells when starting to count. We begin with a tenth when we go to the right of the decimal point and the unit when we go to the left.

Another example:

  • 21.3 is twenty-one and three tenths
  • two and forty-five thousandths is 2.045  

At a higher level, we also need to learn about scientific notation. Scientific notation helps us summarize the writing of very large or very small numbers.

Learn more

  1. Using a scientific notation brainly.com/question/4736384
  2. The example of a question about the four types of number form brainly.com/question/4725342  
  3. Determine 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: whats ten hundredths in standard form, unit form, tenths, thousandths, fractions, less than 1, a small number, notation

Ten hundredths in standard form is written as 0.10.

In standard form, the decimal representation of a number consists of a whole number part, a decimal point, and a fractional part.

The fractional part represents a portion of a whole.

In the case of ten hundredths, the number 10 represents the fractional part of 0.10.

The digit 1 is in the tenths place, and the digit 0 is in the hundredths place.

Therefore, 0.10 represents ten hundredths in standard form.

Learn more about Place Value here:

brainly.com/question/27734142

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Hey, can someone explain to me how to subtract 85.23 and 2.675!?

Answers

Answer:

Your answer is 85.555,hope this helped or 85.5 with - over it

Step-by-step explanation:

when you line of the decimal its is easier

According to the textbook, the median age in the United States is closest to 13. 23. 35. 49.

Answers

I can't find the answer tonight. I accidentally left my textbook in school.

What are the solutions to the quadratic equation 3(x − 4)^2 = 75?a- x = −9 and x = 1
b- x = −5 and x = 5
c- x = −4 and x = 4
d- x = −1 and x = 9

Answers

the answer is (d) where x = -1 & 9
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