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
azamat
3 years ago
6

If light travels 671,000,000 miles in one hour how many miles does it travel in one minute?

Mathematics
1 answer:
viktelen [127]3 years ago
6 0
 1 hr = 60 min

671,000,000 / 60 = 11183333.33 miles per minute
You might be interested in
Which is a true statement about the hypotenuse of a right triangle?
Lynna [10]
Correct answer is D. 

7 0
2 years ago
Based on historical data, your manager believes that 37% of the company's orders come from first-time customers. A random sample
fomenos

Answer:

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

37% of the company's orders come from first-time customers.

This means that p = 0.37

A random sample of 225 orders will be used to estimate the proportion of first-time-customers.

This means that n = 225

Mean and standard deviation:

\mu = p = 0.37

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.37*0.63}{225}} = 0.0322

What is the probability that the sample proportion is between 0.26 and 0.38?

This is the pvalue of Z when X = 0.38 subtracted by the pvalue of Z when X = 0.26.

X = 0.38

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

By the Central Limit Theorem

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

Z = \frac{0.38 - 0.37}{0.0322}

Z = 0.31

Z = 0.31 has a pvalue of 0.6217

X = 0.26

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

Z = \frac{0.26 - 0.37}{0.0322}

Z = -3.42

Z = -3.42 has a pvalue of 0.0003

0.6217 - 0.0003 = 0.6214

0.6214 = 62.14% probability that the sample proportion is between 0.26 and 0.38

5 0
2 years ago
Why did the inequality sign flip?
kumpel [21]

Answer:

We multiplied by a negative number (-8)

We divided by a negative number (-8)

Step-by-step explanation:

Multiplying or dividing both sides of an equation by a negative number changes the inequality of the equation, because it changes the sign of each side of the equation

6 0
2 years ago
A car for $10,000 and a $8,000 loan is taken. The loan is for 3 years and the interest
Svetlanka [38]

Answer:

10922 thats the answer

3 0
3 years ago
Read 2 more answers
Solve for X in the given interval. sec x = -2sr3/3, for pi/2 less than or equal to x less than or equal to pi
notsponge [240]

Answer:

B

Step-by-step explanation:

Using the trig. identity

cos x = \frac{1}{secx}

Given

secx = - \frac{2\sqrt{3} }{3} , then

cos x = - \frac{3}{2\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = - \frac{3\sqrt{3} }{6} = - \frac{\sqrt{3} }{2} , thus

x = cos^{-1} (- \frac{\sqrt{3} }{2} ) = \frac{5\pi }{6} → B

6 0
3 years ago
Other questions:
  • What is the area of a rectangle that is 2/6 foot long and 9/4 feet wide? Wrote an equation to represent the solution.
    13·1 answer
  • Geo has 3 orange picks for every 2 green if there are 25 picks in all how many picks are orange
    13·2 answers
  • I need help is it A B C or D
    11·1 answer
  • How do I do this problem ??
    14·1 answer
  • Write the sentence as an <br> inequality. The product of 10 and a number is greater than 60.
    5·1 answer
  • Two subtracted from b is greater than -18
    9·1 answer
  • Use 2 points to write an equation for each function. Exponential functions.
    9·1 answer
  • Graph and solve the following equation: 7r-15=r+27
    10·1 answer
  • 5.2 divided by blank =0.052​
    15·2 answers
  • Tim and sue share a small pizza. Tim eats 2/3 of the pizza. sue eats half as much pf the pizza as time doe. what fraction of the
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!