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Hitman42 [59]
3 years ago
7

1. An investor deposits $1000 in an account that promises an annual interest rate of 5%,

Mathematics
1 answer:
Virty [35]3 years ago
4 0

Answer:

$1,407.10

Step-by-step explanation:

1000(1.05)^7 = 1.05^7 ≈ 1.40710 * 1000 = $1,407.10

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The mean number of daily surgeries at a local hospital is 6.2. Assume that surgeries are random, independent events. (a) The cou
Scilla [17]

Answer:

a) correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is 0.0536

Step-by-step explanation:

Given data:

mean number is given as 6.2

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

we know that variance is given as\sigma^2 = mean = 6.2

hence, standard deviation is given as \sqrt{6.2} = 2.48998

thus standard deviation is 2.49

correct option is

Poisson distribution is 6.2 and standard deviation is 2.49

b) probability for only 2 or less than 2  surgeries  in a given day is

P(X \leq 2) = P(X =0) + P(X =1) + P(X =2)

                 = \frac{e^{-6.2} 6.2^0}{0!} +\frac{e^{-6.2} 6.2^1}{1!} +\frac{e^{-6.2} 6.2^2}{2!}

                 = 0.002029 + 0.012582+ 0.039006

                 = 0.053617

                = 0.0536

7 0
2 years ago
Which expression is equal to (3x−5)(2x−7)?
olga2289 [7]
(3x-5)(2x-7)
6x^2 - 21 x -10x +35 
6x^2 -31x +35 

The first one 
8 0
3 years ago
Read 2 more answers
Chipper ran 1 mile in 8 minutes. How long would it take him to run 5 miles?
balandron [24]

Answer:

40 minutes

Step-by-step explanation:

Given 1 mile = 8 minutes

5 miles = (5 × 8) minutes

5 miles = 40 minutes

It would take 40 minutes to run 5 miles

7 0
3 years ago
What is the area of the given circle in terms of pi
ser-zykov [4K]
3.14(3.3)(3.3)
3.13(10.89)

6 0
3 years ago
Express the following fractions as the sum or difference of two fractions (x^2+y^2)/x^4
zlopas [31]

Answer:

 \frac{1}{x^2} + \frac{y^2}{x^4}

Step-by-step explanation:

\frac{x^2 + y^2}{x^4} = \frac{x^2}{x^4} + \frac{y^2}{x^4} = \frac{1}{x^2} + \frac{y^2}{x^4}

4 0
2 years ago
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