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miss Akunina [59]
3 years ago
12

QUADRATIC EQUATION â€" WORD PROBLEMS

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer: -7, 12

Step-by-step explanation:

a+b = 5

a*b = -84

a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

I'm not sure what â€" stands for

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Customers at a gas station pay with a credit card (A), debit card (B), or cash (C). Assume that successive customers make indepe
Maurinko [17]

Answer:

Mean = 20

Variance = 16

Step-by-step explanation:

Solution:-

- Let X be the number of customers paying with a debit card.  X has the binomial distribution with n = 100 trials and success probability p = 0.2  

- In general, if X has the binomial distribution with (n) trials and a success probability of (p) then:

                 P[X = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)

                 for values of x = 0, 1, 2, ..., n  

                 P[X = x] = 0 for any other value of x.

- The probability mass function is derived by looking at the number of combination of x objects chosen from n objects and then a total of x success and n - x failures.  

- Or, in other words, the binomial is the sum of n independent and identically distributed Bernoulli trials.

                  X ~ Binomial( n = 100 , p = 0.2 )

- The mean of the binomial distribution is n * p = 20  

- The variance of the binomial distribution is n * p * (1 - p) = 16  

7 0
3 years ago
You want to be able to withdraw $25,000 from your account each year for 20 years after you retire.
Nina [5.8K]

Answer:

When using formulas in application, or memorizing them for tests, it is helpful to note the similarities and differences in the formulas so you don’t mix them up. Compare the formulas for savings annuities vs payout annuities.

Savings Annuity Payout Annuity

P

N

=

d

(

(

1

+

r

k

)

N

k

−

1

)

(

r

k

)

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

PAYOUT ANNUITY FORMULA

P

0

=

d

(

1

−

(

1

+

r

k

)

−

N

k

)

(

r

k

)

P0 is the balance in the account at the beginning (starting amount, or principal).

d is the regular withdrawal (the amount you take out each year, each month, etc.)

r is the annual interest rate (in decimal form. Example: 5% = 0.05)

k is the number of compounding periods in one year.

N is the number of years we plan to take withdrawals

3 0
3 years ago
ALG 2<br> 7x+y=9<br> solve for y
____ [38]

7x+y-9=0

move constant to the left by adding its opposite to both sides. the sum of the two =0

5 0
3 years ago
Which numerical expression represents the following calculation?
soldi70 [24.7K]

Answer:

I think it's c tell me it i'm wrong

Step-by-step explanation:

they both have and so it would be times  

5 0
3 years ago
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Fill in the scale dimensions in the table to the nearest thousandth.
kondor19780726 [428]

To convert the inches portion of the measurement to feet, divide the inches by 12. Then add that number to the feet. Multiply the sum by 0.25 to get the number of inches on the scale drawing.

When you have this many to do, a spreadsheet or calculator is helpful.

br: 2.625 by 2.750

lr: 6.250 by 4.667

kit: 3.375 by 2.000

dr: 3.000 by 2.500

The dimensions are listed here in the order given in the problem statement. Your answer is requested to be shortest dimension first, so you will need to reverse the numbers for all but the first one.

5 0
3 years ago
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