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3 years ago

With a sample size of 200 adults what is probability that more than 35% have high blood pressure

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

Answer:

Step-by-step explanation:

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Find the third order maclaurin polynomial. Use it to estimate the value of sqrt1.3

vodka [1.7K]

$\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$ is the maclaurin polynomial and estimate value of $\sqrt{1.3}$ is 1.14. This can be obtained by using the formula to find the maclaurin polynomial.

<h3>Find the third order maclaurin polynomial:</h3>

Given the polynomial,

$f(x)=\sqrt{1+3x}=(1+3x)^{\frac{1}{2} }$

The formula to find the maclaurin polynomial,

$f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}$

Next we have to find f'(x), f''(x) and f'''(x),

$f'(x) = \frac{3}{2}(1+3x)^{-\frac{1}{2} }$

$f''(x) =-\frac{9}{4}(1+3x)^{-\frac{3}{2} }$

$f'''(x) = \frac{81}{8}(1+3x)^{-\frac{5}{2} }$

By putting x = 0 , we get,

$f(0)=(1+3(0))^{\frac{1}{2} }=1$

$f'(0) = \frac{3}{2}(1+3(0))^{-\frac{1}{2} }=\frac{3}{2}$

$f''(0) =-\frac{9}{4}(1+3(0))^{-\frac{3}{2} }=-\frac{9}{4}$

$f'''(0) = \frac{81}{8}(1+3(0))^{-\frac{5}{2} }=\frac{81}{8}$

Therefore the maclaurin polynomial by using the formula will be,

$\sqrt{1+3x}=f(0)+\frac{f'(0)}{1!}x+\frac{f''(0)}{2!}x^{2} + \frac{f'''(0)}{3!}x^{3}$

$\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$

To find the value of $\sqrt{1.3}$ we can use the maclaurin polynomial,

$\sqrt{1.3}$ is $\sqrt{1+3x}$ with x = 1/10,

$\sqrt{1+3(1/10)}=1+\frac{3}{2} (1/10)-\frac{9}{8} (1/10)^{2} + \frac{81}{8}(1/10)^{3}$

$\sqrt{1+3(1/10)}=\frac{18247}{16000} = 1.14$

Hence $\sqrt{1+3x}=1+\frac{3}{2} x-\frac{9}{8} x^{2} + \frac{81}{8}x^{3}$ is the maclaurin polynomial and estimate value of $\sqrt{1.3}$ is 1.14.

Learn more about maclaurin polynomial here:

brainly.com/question/24188694

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6 0

2 years ago

Read 2 more answers

two boys decided to buy a computer. The second boy had 5/6 of the amount of money the first had. The first boy had 7/8 of the pr

just olya [345]

Answer:

1152$

Step-by-step explanation:

b1 = 7/8 C

b2 = 5/6 b1 = 35/ 48 C

7/8 C + 35/48 C = C + 696

42/48 C + 35/48 C = 48/48 C + 696 * 48/48

(42 + 35 - 48 ) C = 696 * 48

29 C = 33408

C =1152.

8 0

2 years ago

What is 3/4 times 2/4

Sonja [21]

Answer:

6/16, which can be reduced to 3/8

5 0

3 years ago

Please help me with this

nydimaria [60]

Answer:

it 8

Step-by-step explanation:

4^3 is 64

2^3 is 8

64/8 is 8

7 0

3 years ago

Someone please help me

riadik2000 [5.3K]

Answer:

5.625

Step-by-step explanation:

So first do 112 / 360

Simplify it = 28 / 90 = 14 / 45

So 1.75 is 14 / 45 of the circumference.

The whole circumference is 1.75 * (45 / 14)

So the answer is 45 / 8 = 5.625

3 0

3 years ago