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3 years ago

Please help I’ll give brainlieast

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

D then A

Step-by-step explanation:

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Five numbers has a mean of 12. When one (1) number is removed the mean is 11. What is the value of the number removed?

bonufazy [111]

Answer:

Step-by-step explanation:

The mean of a group of values is calculated as

mean = $\frac{sum}{count}$

Given 5 numbers with a mean of 12, then

$\frac{sum}{5}$ = 12 ( multiply both sides by 5 )

sum = 60

let the number removed be x , then

$\frac{60-x}{4}$ = 11 ( multiply both sides by 4 )

60 - x = 44 ( subtract 60 from both sides )

- x = - 16 ( multiply both sides by - 1 )

x = 16

The number removed was 16

6 0

3 years ago

What is the mean and median of the data 4.7,8.51,6.5,7.42,9.64,7.2,9.3

Savatey [412]

Answer:Median=7.42

Mean=7.61

Step-by-step explanation:

4 0

2 years ago

Integrate 1 - x / x(x2 + 1) d x by partial fractions.

solniwko [45]

Answer:

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

Step-by-step explanation:

step 1:- by using partial fractions

$[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }$ ......(1)

step 2:-

solving on both sides

$1-x=A(x^{2} +1)+(Bx+C)x......(2)$

substitute x =0 value in equation (2)

1=A(1)+0

A=1

comparing x^2 co-efficient on both sides (in equation 2)

0 = A+B

0 = 1+B

B=-1

comparing x co-efficient on both sides (in equation 2)

-1 = C

step 3:-

substitute A,B,C values in equation (1)

now

$\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 } d x -\int\limits \frac{1}{x^{2}+1 } d x$

by using integration formulas

i) by using $\int\limits \frac{1}{x} d x =log x+c........(a)\\\int\limits \frac{f^{1}(x) }{f(x)} d x= log(f(x)+c\\$ .....(b)

$\int\limits tan^{-1}x dx =\frac{1}{1+x^{2} } +C$ .....(c)

step 4:-

by using above integration formulas (a,b,and c)

we get answer is

$log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x$

6 0

3 years ago

How do you solve this equation ?

Lyrx [107]

Is z an angle? if so, i'll use the ration [email protected]=perpendicular/base
tanZ=15/20=3/4 answer

5 0

3 years ago

Hi, I have utterly no idea what I'm doing here.

Anna11 [10]

Answer:

Factored form: 2x(2x^2+x+1)

Step-by-step explanation:

You're subtracting them. :)

6 0

3 years ago

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