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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).

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I need help with these two please :’)
tatiyna

Answer:

59)

Therefore the height of the pyramid is 14 meter.

60)

Therefore the Diameter of Cone is 17.32 cm.

Step-by-step explanation:

59 )

Given:

Shape is Rectangular Pyramid,

Length = 3 meter

Width = 8 meter

Volume of Rectangular Pyramid = 112 cubic meter

To Find:

Height:

Solution:

We Know,

\textrm{Volume of Rectangular Pyramid}=\frac{1}{3}(Length\times Width\times Height)

Substituting the given values we have

112=\frac{1}{3}(3\times 8\times Height)\\ \\\therefore Height=\frac{336}{24}\\\\\therefore Height=14\ meter\\

Therefore the height of the pyramid is 14 meter.

60 )

Thee shape is of Cone

Given:

Height= 5 cm

Volume of cone = 125 π cm³

To Find:

Diameter of a cone = d = ?

Solution:

We know,

\textrm{Volume of cone}=\frac{1}{12}\pi (Diameter) ^{2}\times Height

Substituting the given values we have

125\pi =\frac{1}{12}\pi  d^{2}\times 5\\ \\d^{2}=25\times 12\\  \\d^{2}=300\\\\d=17.32\\   \therefore Diameter = 17.32\ cm

Therefore the Diameter of Cone is 17.32 cm.

6 0
3 years ago
Please help me! I would appreciate it! :)
Helga [31]

Answer:

v= -2

Step-by-step explanation:

10+2v=−6(3v+5)

Step 1: Simplify both sides of the equation.

10+2v=−6(3v+5)10+2v=(−6)(3v)+(−6)(5)(Distribute)10+2v=−18v+−302v+10=−18v−30Step 2:

Add 18v to both sides.

2v+10+18v=−18v−30+18v20v+10=−30

Step 3:

Subtract 10 from both sides

.20v+10−10=−30−1020v=−40

Step 4:

Divide both sides by 20.20v20=−4020v=−2

Answer:v=−2

4 0
3 years ago
Read 2 more answers
Is y= 5+ x proportional
Verizon [17]

Answer:Yes because is it in the right formula!!

Step-by-step explanation:

3 0
4 years ago
If 25% of the students in elementary algebra courses receive a grade of A, and there are 300 students enrolled in elementary alg
djyliett [7]

Answer:

Total number of students receiving A grade = 75

Step-by-step explanation:

Total number of students enrolled in elementary algebra this year =300

Percentage of students receiving a grade of A = 25%

To find number of students that will receive a grade of A.

Solution:

In order to find the number of students that will receive a grade of A, we will find the percentage students receiving A grade of the total number of the student.

Number of students receiving A grade = 25\%\ of\textrm{ Total number of students}

⇒ 25\%\ of\ 300

Writing 25% as fraction and multiplying.

⇒ \frac{25}{100}\times 300

⇒ \frac{7500}{100}

⇒ 75

∴ Total number of students receiving A grade = 75 (Answer)

6 0
3 years ago
What is 973/892/401 - answer this to get 50 points
Ulleksa [173]
ANS = <span>0.00272021739 </span>
7 0
4 years ago
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