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Fed [463]
3 years ago
10

I need to do this problem by completing the square . help please

Mathematics
1 answer:
sukhopar [10]3 years ago
8 0

Answer:

the roots are n = 1 + √15 and n = 1 - √15

Step-by-step explanation:

In this case I would immediately rewrite n² - 2n - 5 = 10 as

n² - 2n                  = 10 + 5 = 15.

To complete the square:  Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:

n² - 2n  <em>+ 1 - 1   </em>             = 15

Next, rewrite n² - 2n  + 1 as the square of a binomial:

(n - 1)² = 15

Finally, take the square root of both sides:

n - 1 = ±√15

so that the roots are n = 1 + √15 and n = 1 - √15

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7.
Serjik [45]

Answer:

Probability that a customer pays the bill by mail, given that the customer is female is 0.20.

Step-by-step explanation:

The complete question is:

                               Online                             By Mail            Total

             Male             12                                      8                   20

           Female           24                                     6                   30      

             Total             36                                     14                  50    

A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill by mail, given that the customer is female.

Probability that a customer pays the bill by mail, given that the customer is female is given by = P(Pays bill by mail / Customer is female)

\frac{6}{50}P(Pays bill by mail/Customer is female) = \frac{P(\text{Pays bill by Mail}\bigcap \text{ Customer is Female})}{P(\text{ Customer is Female})}

Now, Probability that customer is female =  \frac{30}{50}

Also, Probability that customer pays bill by mail and is female =   \frac{6}{50}

So, Required probability =  \frac{\frac{6}{50} }{\frac{30}{50} }

                                         =  \frac{6}{50}\times \frac{50}{30}

                                         =  \frac{1}{5}   =  0.20

Hence, probability that a customer pays the bill by mail, given that the customer is female is 0.20.

6 0
3 years ago
Can someone that is good with math help me with this?
masha68 [24]

Answer:

i am so sad rn

Step-by-step explanation:

hey bb id.k what to do im sad

3 0
2 years ago
What is ? Please help me 1/6x3/1!!!
levacccp [35]

Answer:

1/2

Step-by-step explanation:

1/2

3 0
3 years ago
A certain backpack costs $22, and there is 4% sales tax. What is one way to determine what the amount of sales tax will be? Sele
Mademuasel [1]

Answer:

$0.88

Step-by-step explanation:

cost per 1% = 22 ÷ 100 = 0.22

⇒ cost of 4% = 4 x 0.22 = 0.88

Or

4% = 4/100 = 0.04

⇒ 4% of 22 = 0.04 x 22 = 0.88

Step-by-step explanation:

8 0
2 years ago
48w + 42x. Write you're answere as a product with a whole number greater than 1???
Natali [406]

Answer:

6(8w + 7x)

Step-by-step explanation:

Hello!

The greatest common factor between 48 and 42 is 6. We can factor out 6 from each term.

<h3>Factor</h3>
  • 48w + 42x
  • 6(8w) + 6(7x)
  • 6(8w + 7x)

The expression is 6(8w + 7x).

4 0
1 year ago
Read 2 more answers
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