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
Arlecino [84]
3 years ago
12

Find the distance along an arc on the surface of the earth that subtends a central angle of 6 minutes (1 minute = 1/60 degree).

The radius of the earth is 3960 miles. Round to the thousandths. (3 decimal places)
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

6.914miles (to 3 decimal places)

Step-by-step explanation:

Length of an arc = θ/360 *2πr

angle subtended by arc at the center of the earth = 6 minutes

1 minute =1/60 degree

6 minute= 6/60 degree =0.1°

θ=0.1°

radius of earth = 3960 miles

distance along the arc = \frac{0.1}{360}*2\pi  *3960

    =6.9142857143miles

You might be interested in
Choose the best decimal equivalent to 5/8
vlada-n [284]

To convert this fraction to a decimal, just divide the numerator (5) by the denominator (8): 5 ÷ 8 = 0.625. So,

5/8 = 0.625

Rounded values:

<span><span>5/8 = 1 rounded to the nearest integer</span><span>5/8 = 0.6 rounded to 1 decimal place</span><span>5/8 = 0.63 rounded to 2 decimal places</span></span>
5 0
3 years ago
Read 2 more answers
14 less than number is it an algebraic expression for a Equation
FrozenT [24]

x - 14 would be the equation

Does this help? Not really sure what you are asking.

5 0
3 years ago
Read 2 more answers
Help and I will give brainliest alot
Nikitich [7]

Answer:

dude i cant read it its to small

Step-by-step explanation:

8 0
2 years ago
Assume that foot lengths of women are normally distributed with a mean of 9.6 in and a standard deviation of 0.5 in.a. Find the
Makovka662 [10]

Answer:

a) 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b) 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c) 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 9.6, \sigma = 0.5.

a. Find the probability that a randomly selected woman has a foot length less than 10.0 in

This probability is the pvalue of Z when X = 10.

Z = \frac{X - \mu}{\sigma}

Z = \frac{10 - 9.6}{0.5}

Z = 0.8

Z = 0.8 has a pvalue of 0.7881.

So there is a 78.81% probability that a randomly selected woman has a foot length less than 10.0 in.

b. Find the probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

This is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 8.

When X = 10, Z has a pvalue of 0.7881.

For X = 8:

Z = \frac{X - \mu}{\sigma}

Z = \frac{8 - 9.6}{0.5}

Z = -3.2

Z = -3.2 has a pvalue of 0.0007.

So there is a 0.7881 - 0.0007 = 0.7874 = 78.74% probability that a randomly selected woman has a foot length between 8.0 in and 10.0 in.

c. Find the probability that 25 women have foot lengths with a mean greater than 9.8 in.

Now we have n = 25, s = \frac{0.5}{\sqrt{25}} = 0.1.

This probability is 1 subtracted by the pvalue of Z when X = 9.8. So:

Z = \frac{X - \mu}{s}

Z = \frac{9.8 - 9.6}{0.1}

Z = 2

Z = 2 has a pvalue of 0.9772.

There is a 1-0.9772 = 0.0228 = 2.28% probability that 25 women have foot lengths with a mean greater than 9.8 in.

5 0
3 years ago
I need help fast with the first question in the page which is the find algebraically in R
ch4aika [34]

Answer:

2x²+5x-6 = 0

using the quadratic formula

x = 0.886 and x= -3.386

3 0
2 years ago
Other questions:
  • A rectangular horseshoe pit is 53 inches long and 32 inches wide.
    14·1 answer
  • Solve for x. write both solutions separated by a comma. 2x^2-5x+2=0​
    10·1 answer
  • I only need the Evens ;-;
    5·1 answer
  • X − 3y if x = 3 and y = −2.
    12·1 answer
  • Please help fast!!!!! 20 points
    8·2 answers
  • 3x + 4y = 12<br> Convert to slope-intercept form
    13·2 answers
  • Can someone please help me asap?
    11·1 answer
  • Zombies scare everyone and a mummy is much like a zombie. In fact, their equations are parallel to each other. If the zombie equ
    8·2 answers
  • Someone help. Urgent! I need someone to answer this! Factor -5b – 5c!
    5·1 answer
  • Type the correct answer in each box. Use numbers instead of words. The cost of cereal is proportional to the number of ounces. C
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!