The sum of two polynomials each of the degree 8 will be degree 8 true or false

Evaluate: 20 Σ 4(8/9)^n-1 = [?] 1 Round to the nearest hundredth.

lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: $a_n=ar^{n-1}$

(where a is the first term and r is the common ratio)

Given:

$\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}$

Therefore:

a = 4
r = 8/9

Sum of the first n terms of a geometric series:

$S_n=\dfrac{a(1-r^n)}{1-r}$

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

$\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}$

$\implies S_{20}=32.58609013...$

$\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)$

7 0

1 year ago

Read 2 more answers

Iq scores are normally distributed with a mean of 100 and a standard deviation of 15 what is the probability that a randomly sel

a_sh-v [17]

So we are given the mean and the s.d.. The mean is 100 and the sd is 15 and we are trying the select a random person who has an I.Q. of over 126. So our first step is to use our z-score equation:

z = x - mean/s.d.

where x is our I.Q. we are looking for

So we plug in our numbers and we get:

126-100/15 = 1.73333

Next we look at our z-score table for our P-value and I got 0.9582

Since we are looking for a person who has an I.Q. higher than 126, we do 1 - P. So we get

1 - 0.9582 = 0.0418

Since they are asking for the probability, we multiply our P-value by 100, and we get

0.0418 * 100 = 4.18%

And our answer is

4.18% that a randomly selected person has an I.Q. above 126
Hopes this helps!

6 0

3 years ago

Write a rule that represents the function. (1,1/2),(2,1/4),(3.1/8),(4,1/16),(5,1/32)

ratelena [41]

Answer:

Step-by-step explanation:

. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...

5 0

3 years ago

What steps should be taken to calculate the volume of the prism? Select three options. A rectangular prism with a length of 9 an

fgiga [73]

The steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.

Use V = Bh to find the volume of the prism.

Volume of the prism, V = (228)(6) = 1,368 feet cubed.

<h3>How to Find the Volume of a Rectangular Prism?</h3>

A rectangular prism has a height, base, and width. The volume of the rectangular prism can be found by using the following steps:

Find the base area of the rectangular prism using the formula, A = bh, where b is the base length and h is the height of the base.
Then, find the Volume using the formula, V = Bh, where B is the base area and h is the height of the prism.

Parameters are:

Length of prism = 9 and one-half feet,

Width of prism = 24 feet,

Height of prism = 6 feet

Given the dimensions of the rectangular prism above, do the following:

Find the area of the base of the rectangular prism:

Area of base = (9 1/2)(24) = 228 cm²

Find the Volume of the prism using V = Bh :

Volume of the prism = (228)(6) = 1,368 feet cubed.

Therefore, the steps to be taken to determine the volume of the rectangular prism are:

Use A = bh to find the area of the base.
Use V = Bh to find the volume of the prism.
Volume of the prism, V = (228)(6) = 1,368 feet cubed.

Learn more about volume of the rectangular prism on:

brainly.com/question/12917973

#SPJ1

3 0

2 years ago

A snowstorm lasted for three days. Durning the storm, 8 inches of snow fell on the first day, 6 inches of snow fell on the secon

TiliK225 [7]

Answer:

Basically we need to add all of the inches

Step-by-step explanation:

so...

8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )

add all those inches together what do you get?

23 inches in total. So altogether 23 inches of snow fell during the 3-day storm

7 0

3 years ago