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kirza4 [7]
3 years ago
15

WILL GIVE BRAINLIEST!!!!!!!!!!!

Mathematics
1 answer:
arlik [135]3 years ago
3 0
 A visual example of this is one my mother showed me. She drew a circle and laid out a piece of yarn around it so that it imitated the perfect shape of the circle. She laid out another piece that was as long as the circle's radius. She wrapped the longer piece around the shorter one, and I saw that it could wrap around it three times and still have at least 0.14 units left. I'm not sure if this helps, but the circumference of this circle is 18.84 cm ^2. I hope I answered your question.
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Verify <br>cos^4x-sin^4x=cos2x
kati45 [8]
A^2 - b^2 = (a - b)( a +b);
<span>cos^4x-sin^4x =( cos^2x + sin^2x )( cos^2x - sin^2x) = 1* cos2x = co2x.</span>
7 0
2 years ago
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
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
2 years ago
what IS THE FUTURE VALUE OF THE 10% savings from earnings of 36,000 if it earns 6.25% annual interest compounded quarterly for 1
bezimeni [28]
P(1+rt)
Your answer is 69,750.00
4 0
3 years ago
41 5<br> ---- = ----- x=?<br> x 2
Stells [14]
\frac{41}{x}=\frac{5}{2}\\&#10;5x=82\\&#10;x=\frac{82}{5}
7 0
3 years ago
Read 2 more answers
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