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2 years ago

13

A company has determined that 1% of its widgets are defective. If a customer received 2 widgets, what is the probability that th

ey are both defective?

1 answer:

Vsevolod [243]2 years ago

5 0

Assume independence because there are probably a lot of widgets. 1/100 x 1/100 = 1/10,000

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A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many

Mumz [18]

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

7 0

2 years ago

6.1/5(12b+5) for b = 5/6

Temka [501]

Answer:

Step-by-step explanation:

6.1 / 5 ( 12b + 5 )

b = 5/6

by substituting,

6.1 / 5 ( 12 × 5/6 + 5 )

1.22 × 15

= <u><em>18.3</em></u>

Hope this helps

plz mark as brainliest!!!!!!!

Stay safe!!

7 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)

<u>step 2:-</u>

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

<u>A=1</u>

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)

<u>-</u>1 = C

<u>step 3:-</u>

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)

<u>step 4:-</u>

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

2 years ago

Find two numbers that have a sum of 4 and a product of -5

nekit [7.7K]

Answer:

-1 and 5

Step-by-step explanation:

7 0

3 years ago

Which type of study best describes the following research most likely to be done? A teacher wants to know how fast all her stude

Yakvenalex [24]

Census

_____________________________________

<em>*100% CORRECT ANSWERS</em>

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2 years ago