1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveticcg [70]
3 years ago
5

To determine the wind speed in a certain location, 40 samples are taken in a limited period of time. The average value of the me

asurements is 30 miles per hour, and the standard deviation of the sample is 2 miles per hour. Determine a 95% confidence interval for the mean value of the wind speed.
Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
5 0

Answer: 95% confidence interval is (29.38, 30.62).

Step-by-step explanation:

Since we have given that

n = Sample size = 40

Average value = 30 miles per hour

Standard deviation = 2 miles per hour

We need to find the interval for 95% confidence interval.

So, z = 1.96

So, the intervals would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=30\pm 1.96\times \dfrac{2}{\sqrt{40}}\\\\=30\pm 0.62\\\\=(30-0.62,30+0.62)\\\\=(29.38,30.62)

Hence, 95% confidence interval is (29.38, 30.62).

You might be interested in
HELP PLEASE Connie can buy 48 roses for $120. Which is the cost per rose? A $1.20 B $2.50 © $3.00 D $4.00​
zubka84 [21]

Answer:

B: $2.50

Step-by-step explanation:

$120 ÷ 48 roses = cost per rose ($2.50)

4 0
3 years ago
Evaluate the series 9 + 3 + 1 + . . .
brilliants [131]
Keep dividing by 3 to get the rest of the answers.
7 0
3 years ago
Read 2 more answers
Find the sum of 0.2126 and 0.7145 correct to 3 significant figures​
Afina-wow [57]

Answer:

0.927

Step-by-step explanation:

add then round the last digit (it doesnt matter if it is a decimal number or not).

3 0
2 years ago
A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $100 plus $9 per day. The
Tasya [4]
I'm not completely sure about this answer but here is what I got: 100•15=1500 for one day of the food booth. 50•22=1100 one day for the game booth. 1500+(x9) and 1100+(x8). (1500+x)+(1100+x)=x
8 0
3 years ago
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
Other questions:
  • It takes
    15·2 answers
  • Which number line represents the solutions to |–2x| = 4?
    14·1 answer
  • last summer Stacy softball team won 6 of the 9 games they played what is the ratio of the games they won to the games they playe
    9·1 answer
  • Solve two-step equation
    10·2 answers
  • Use the given margin of​ error, confidence​ level, and population standard​ deviation, sigma​, to find the minimum sample size r
    13·1 answer
  • Is the following statement a good definition? Why?
    13·2 answers
  • What is the additive inverse of -10? Explain how you know.<br> (Will name brainiest)
    15·2 answers
  • Greg spent $4 on $5 packs of sport cards. How much did greg spend on each pack?​
    12·1 answer
  • Solve the equation : 7(x + 6) + 7x = 9 options 2 5/14, -1 5/14, -2 5/14, 5/14
    15·1 answer
  • What is the solution of the system? <br> y = 5x<br> x + y = 12
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!