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Nataliya [291]
3 years ago
15

At winds speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. Wind speeds below 100

0 cm/sec deposit sand, and wind speeds above 1000 cm/sec move sand to new locations. The cyclic nature of wind and moving sand determines the shape and location of large dunes. At a test site, the prevailing direction of the wind did not change noticeably. However, the velocity did change. Sixty wind speed readings gave an average of 1075 cm/sec and based on long term experience the standard deviation for wind speed is 265 cm/sec. Round answers to two decimal places, if necessary(a) Find a 95% confidence interval for the population mean wind speed at this site. (Round your answers to the nearest whole number.)lower limit cm/secupper limit cm/sec
Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0

Answer:

Lower limit = 1007.95 cm/s

Upper limit = 1142.05 cm/s

Step-by-step explanation:

We have to calculate a 95% CI with population's standard deviation known.

The sample is size n=60, with mean M=1075.

The confidence interval can be expressed as:

M-z*\sigma/\sqrt{n} \leq\mu\leq M+z*\sigma/\sqrt{n}

For a 95% CI, the value of z=1.96.

1075-1.96*265/\sqrt{60} \leq\mu\leq 1075+1.96*265/\sqrt{60} \\\\1075-67.05 \leq\mu\leq 1075+67.05\\\\ 1007.95 \leq\mu\leq 1142.05

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Answer:

Step-by-step explanation:

∠1 = 180° - 88° = 92°

∠5 = 81° (alternate interior angles)

∠4 = 180° - ( 81° + 64° ) = 35°

∠3 = 180° - ( 81° + 35° ) = 64°

∠2 = 88° - 64° = 24°

4 0
3 years ago
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Solve the equation. 5 x minus 1 equals 14 A. x = 3 B. x = 4 C. x = 5 D. x = 15
Helen [10]

Answer:

B

Step-by-step explanation:

5x - 1 = x =4

4 0
3 years ago
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sampl
kari74 [83]

Answer:

A.)

H0: μ ≤ 31

H1: μ > 31

B.)

H0: μ ≥ 16

H1: μ < 16

C.)

Right tailed test

D.)

If Pvalue is less than or equal to α ; we reject the Null

Step-by-step explanation:

The significance level , α = 0.01

The Pvalue = 0.0264

The decision region :

Reject the null if :

Pvalue < α

0.0264 > 0.01

Since Pvalue is greater than α ; then, we fail to reject the Null ;

Then there is no significant evidence that the mean graduate age is more Than 31.

B.)

H0: μ ≥ 16

H1: μ < 16

Null Fluid contains 16

Alternative hypothesis, fluid contains less than 16

One sample t - test

C.)

Null hypothesis :

H0 : μ ≤ 12

. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.

Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12

d.)

If Pvalue is less than or equal to α ; we reject the Null.

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2 years ago
what is the width of a rectangle with a length of 6/7 feet and an area of 5 square feet. What is the width of the rectangle
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Answer:

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Step-by-step explanation:

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3 years ago
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angl
Alenkinab [10]

The sum of the angle 5 and angle 6 is 180 degrees. Then the correct option is C.

<h3>What is Supplementary angle?</h3>

When two angles are said to be supplementary angles if their sum is 180 degrees.

A triangle is shown with its exterior angles.

The interior angles of the triangle are angles 2, 3, 5.

The exterior angle at angle 2 is angle 1.

The exterior angle at angle 3 is angle 4.

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We know that the sum of interior and exterior angle of the triangle is 180 degrees.

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Then the correct option is C.

More about the Supplementary angle link is given below.

brainly.com/question/15767203

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