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3 years ago

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On a recent quiz, the class mean was 70 with a standard deviation of 4.4. Calculate the z-score (to 4 decimal places) for a pers

on who received score of 73.52.

1 answer:

Luba_88 [7]3 years ago

6 0

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

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Use the Newton-Raphson method to find the root of the equation f(x) = In(3x) + 5x2, using an initial guess of x = 0.5 and a stop

xxMikexx [17]

Answer with explanation:

The equation which we have to solve by Newton-Raphson Method is,

f(x)=log (3 x) +5 x²

$f'(x)=\frac{1}{3x}+10 x$

Initial Guess =0.5

Formula to find Iteration by Newton-Raphson method

$x_{n+1}=x_{n}-\frac{f(x_{n})}{f'(x_{n})}\\\\x_{1}=x_{0}-\frac{f(x_{0})}{f'(x_{0})}\\\\ x_{1}=0.5-\frac{\log(1.5)+1.25}{\frac{1}{1.5}+10 \times 0.5}\\\\x_{1}=0.5- \frac{0.1760+1.25}{0.67+5}\\\\x_{1}=0.5-\frac{1.426}{5.67}\\\\x_{1}=0.5-0.25149\\\\x_{1}=0.248$

$x_{2}=0.248-\frac{\log(0.744)+0.30752}{\frac{1}{0.744}+10 \times 0.248}\\\\x_{2}=0.248- \frac{-0.128+0.30752}{1.35+2.48}\\\\x_{2}=0.248-\frac{0.17952}{3.83}\\\\x_{2}=0.248-0.0468\\\\x_{2}=0.2012$

$x_{3}=0.2012-\frac{\log(0.6036)+0.2024072}{\frac{1}{0.6036}+10 \times 0.2012}\\\\x_{3}=0.2012- \frac{-0.2192+0.2025}{1.6567+2.012}\\\\x_{3}=0.2012-\frac{-0.0167}{3.6687}\\\\x_{3}=0.2012+0.0045\\\\x_{3}=0.2057$

$x_{4}=0.2057-\frac{\log(0.6171)+0.21156}{\frac{1}{0.6171}+10 \times 0.2057}\\\\x_{4}=0.2057- \frac{-0.2096+0.21156}{1.6204+2.057}\\\\x_{4}=0.2057-\frac{0.0019}{3.6774}\\\\x_{4}=0.2057-0.0005\\\\x_{4}=0.2052$

So, root of the equation =0.205 (Approx)

Approximate relative error

$=\frac{\text{Actual value}}{\text{Given Value}}\\\\=\frac{0.205}{0.5}\\\\=0.41$

Approximate relative error in terms of Percentage

=0.41 × 100

= 41 %

7 0

3 years ago

Find the value of x.

Nana76 [90]

Answer:

It would probaly be 10

Step-by-step explanation:

Remember A scaling triangle has different numbers for every side

4 0

2 years ago

What is the value of x in the figure below (PLS HELP ILL GIVE YOU 100 POINTS AND MARK BRAINLIEST)

Andreyy89

B / 24 because I had to do this whole assignment . I got 100 on it . Non of the others make since if u do the math

5 0

3 years ago

Read 2 more answers

36. Dennis set off from Town A at 10 A.M., driving at an average rate of speed of 52 mph. He reached

jekas [21]

The time William would arrive in town B IS 1 : 47 pm.

<h3>What time will William arrive in town B?</h3>

The first step is to determine the distance and the time of Dennis's travel.

Time = 14 hours (2 pm + 12) - 10 hours = 4 hours

Distance = time x average speed

4 x 52 = 208 miles

The second step is to determine the time of William's travel:

Distance / average speed = time

208 / 40 = 5.20 = 5 hours 12 minutes

Time William left for the trip = 10 am - 1 hour 25 minutes = 8 :35am

Time he would reach town B = 8 : 35am + 5 hours 12 minutes = 13 hours 47 minutes = 1 : 47 pm

To learn more about average speed, please check: brainly.com/question/21734785

#SPJ1

4 0

2 years ago

Azul went snorkeling and he noticed That is the ratio of parrotfish to clown fish what is 4:3 He saw a 20 parrot fish how many C

skelet666 [1.2K]

$\frac{4}{3} = \frac{20}{?}$

$\frac{3 \times 20}{4} = 15$

8 0

3 years ago