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Y_Kistochka [10]
3 years ago
11

The mean of six numbers is 41. If one number is removed, the mean of the five numbers is 46. Find the unknown number.

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
Let n be the sum of all 6 numbers:

In the 1st case n/6 = 41 ==> n =246

in the 2nd case n'/5 = 46===> n' =230, the unknown number is n-n' =246-230

= 16
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Please do step by steps for each!
Schach [20]

Answer:

  • x² - 8x + 12
  • x³ + 2x² - 15x - 36
  • x³ -2x² - 15x

Step-by-step explanation:

#1) Find the polynomial with roots at 2 and 6

  • (x -2)(x - 6) = x² - 8x + 12

#2) Find the polynomial with a double root at -3 and another root at 4

  • (x+3)(x+3)(x-4) = (x²+6x+9)(x-4) = x³ + 2x² - 15x - 36

#3) Find the polynomial with roots 0, -3 and 5

  • (x -0)(x+3)(x-5) = x(x²-2x - 15) = x³ -2x² - 15x
3 0
3 years ago
Can someone explain how I'm supposed to determine whether each pair of ratios form a proportion? I so stuck on it sorry can i ge
Natalka [10]

Step-by-step explanation:

We will learn how to solve proportion problems. We know, the first term (1st) and the fourth term (4th) of a proportion are called extreme terms or extremes, and the second term (2nd) and the third term (3rd) are called middle terms or means.

Therefore, in a proportion, product of extremes  = product of middle terms

example

1. Check whether the two ratios form a proportion or not:

(i) 6 : 8 and 12 : 16;                           (ii) 24 : 28 and 36 : 48

Solution:

(i) 6 : 8 and 12 : 16

6 : 8 = 6/8 = 3/4

12 : 16 = 12/16 = 3/4

Thus, the ratios 6 : 8 and 12 : 16 are equal.

Therefore, they form a proportion.

5 0
3 years ago
Please help!!!!! This is due in a few hours...
Hunter-Best [27]
Peter's meal costed $8.11 in total. Hope this helps :D
7 0
3 years ago
The Oriental Pearl Tower in Shanghai, China, is a 468-meter high tower with 11 spheres along the tower. Two spheres are larger t
Alexeev081 [22]

The approximate total volume of the two largest spheres on the Oriental Pearl Tower 113105.45 m³.

<h3 /><h3>How to find the volume of a sphere</h3>

The volume of the sphere is calculated as follows:

volume = 4 / 3 πr³

where

  • r = radius

The lower two larger spheres in the tower has a radius of 25 meters and 22.5 meters. Therefore, the total volume of the two largest sphere is as follows:

volume of lower sphere = 4 / 3 × 3.14 × 25³

volume of lower sphere = 196250 / 3

volume of lower sphere = 65416.6666667

volume of lower sphere = 65416.7 m³

volume of higher sphere = 4 / 3 × 3.14 × 22.5³

volume of higher sphere = 143066.25 / 3

volume of higher sphere = 47688.75

volume of higher sphere = 47688.8 m³

The approximate total volume = 65416.7 + 47688.8  = 113105.45 m³

learn more on sphere here: brainly.com/question/13833611

4 0
2 years ago
yesterday, there was 80 problems assigned for math homework. harry did 20% of them correctly. how ,many problems did harry get r
Igoryamba
400 i think i am pretty sure but if it's wronge i apolize 


3 0
3 years ago
Read 2 more answers
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