The speed of light is 300,000,000 meters per second. The sun is approximately meters 1.5 x 10¹¹ from Earth. How many seconds does it take for the sunlight to reach Earth?
Answers
Final answer:
By using the formula for time (distance divided by speed), it is found that sunlight takes approximately 500 seconds, or about 8.3 minutes, to reach the Earth from the Sun.
Explanation:
The speed of light is 300,000,000 meters per second (m/s) and the distance from the Earth to the Sun is approximately 1.5 x 10¹¹ meters. We can calculate the time it takes for sunlight to reach Earth by using the formula for time, which is distance divided by speed. Plugging these values into the formula, we have:
Time = distance/speed = (1.5 x 10¹¹ meters) / (3.0 x 10⁸ m/s) = 500 seconds.
This means that it takes approximately 500 seconds, or about 8.3 minutes, for sunlight to travel from the Sun to the Earth.
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Answer:
about 500 seconds
Step-by-step explanation:
The distances between stars across the universe are very great, so astronomers use light years as a larger unit than miles or kilometers. To calculate the actual distance of a light year, you simply need to multiply the speed of light by the number of seconds in a year. This means 300,000,000 multiplied by 500 and you would get 1.5 x 10¹¹ which is equal too 150,000,000,000
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A project manager can interpret several things from data displayed in a histogram. If something unusual is happening, the histogram might be ___________. a. Flat b. Skewed c. Bell-shaped d. S-shaped
Evaluate a2 + b2 + c2 for a = -5, b = -2, and c = 3.
Answers
Analyzing a sample of 14 flights at Denver International Airport, the probability of 10 or more flights arriving on time is 0.3783, and the probability of 11 or more flights arriving on time is 0.2142, which is not considered unusual.
(a) All 12 of the flights were on time.
(b) Exactly 10 of the flights were on time.
(c) 10 or more of the flights were on time.
(d) Would it be unusual for 11 or more of the flights to be on time?
We can use the binomial probability formula to solve this problem. The binomial probability formula is:
P(k successes in n trials) = (n choose k) * *
where:
n is the number of trials
k is the number of successes
p is the probability of success
q is the probability of failure
In this case, n = 14, p = 0.85, and q = 0.15.
(a) To find the probability that all 12 of the flights were on time, we can plug k = 12 into the binomial probability formula:
P(12 successes in 14 trials) = (14 choose 12) * *
Using a calculator, we can find that this probability is approximately 0.0032.
(b) To find the probability that exactly 10 of the flights were on time, we can plug k = 10 into the binomial probability formula:
P(10 successes in 14 trials) = (14 choose 10) * *
Using a calculator, we can find that this probability is approximately 0.1022.
(c) To find the probability that 10 or more of the flights were on time, we can add up the probabilities of 10, 11, 12, 13, and 14 successes:
P(10 or more successes) = P(10 successes) + P(11 successes) + P(12 successes) + P(13 successes) + P(14 successes)
Using a calculator, we can find that this probability is approximately 0.3783.
(d) To determine whether it would be unusual for 11 or more of the flights to be on time, we can find the probability of this event and compare it to a common threshold for unusualness, such as 0.05.
P(11 or more successes) = P(11 successes) + P(12 successes) + P(13 successes) + P(14 successes)
Using a calculator, we can find that this probability is approximately 0.2142. This probability is greater than 0.05, so it would not be considered unusual for 11 or more of the flights to be on time.
Final answer:
This problem can be approached as a binomial distribution. The probability of a particular number of flights on time is calculated using the binomial probability formula. Determining 'unusual' can be subjective but normally a probability less than 0.05 is considered unusual.
Explanation:
This problem is a binomial probability problem because we have a binary circumstance (flight is either on time or it isn't) and a fixed number of trials (14 flights). The binomial probability formula is P(X=k) = C(n, k) * (p^k) * ((1 - p)^(n - k)) where n is the number of trials, k is the number of successful trials, p is the probability of success on a single trial, and C(n, k) represents the number of combinations of n items taken k at a time.
(a) For all 12 flights on time, it seems there's a typo; there are 14 flights in the sample. We can't calculate for 12 out of 14 flights without the rest of the information.
(b) For exactly 10 flights, we use n=14, k=10, p=0.85: P(X=10) = C(14, 10) * (0.85^10) * ((1 - 0.85)^(14 - 10)).
(c) For 10 or more flights on time, it's the sum of the probabilities for 10, 11, 12, 13, and 14 flights on time.
(d) For determining whether 11 or more on-time flights is unusual, it depends on the specific context, but we could consider it unusual if the probability is less than 0.05.
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Answers
Answer:
75 kilómetros.
Step-by-step explanation:
Dado que Juan utiliza su bicicleta para hacer deporte, y cada día recorre 10 kilómetros a la mañana y 5 kilómetros a la tarde, para determinar cuántos kilómetros recorre en total al cabo de 5 días se debe realizar el siguiente cálculo:
(10 + 5) x 5 = X
15 x 5 = X
75 = X
Por lo tanto, Juan recorre 75 kilómetros al cabo de 5 días.
Answers
Final answer:
Gary was on the Ferris wheel for a total of 36 minutes, calculated by subtracting the time he got on (2:40 P.M.) from the time he got off (3:16 P.M.).
Explanation:
To find out how long Gary was on the Ferris wheel, we need to calculate the difference in time from when he got on the ride to when he got off. He got on at 2:40 P.M. and got off at 3:16 P.M. To calculate the time difference, we first convert the times to a 24-hour format. So, 2:40 P.M. is 14:40 and 3:16 P.M. is 15:16.
Next, we subtract the starting time from the ending time. The calculation is as follows:
15:16 - 14:40 = 0:36
So, Gary was on the Ferris wheel for 36 minutes.
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Answer:
2:40 to 3:16
2:40 to 3 is 20 min
3 to 3:16 is 16 min
20+16=36
So, Gary was on the ride for 36 minutes!
Answers
Answers
Answer:
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Step-by-step explanation:
Let x be Steve's age.
Steve = x
Steve's Mom = y
Now let's create an equation:
y - 7 = 3x
y = 3x + 7
(Not sure what the question was so, I just put it in slope intercept form)
Please let me know if I misunderstood the question that way I can help you! <3
Answer:
Steve's mom is 65.
Step-by-step explanation:
Let s = Steve's age.
s + (3s - 7) = 65
4s - 7 = 65
4s = 72
s = 18
Check:
Steve is 18
His mom is (3 * 18) - 7 = 54 - 7 = 47
14 + 47 = 65
Yep.
18 + 47 = 65
Answers
The maximum 60 bracelets, Tara can have with 15 beads in each bracelet.
What is division?
The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into same number of parts.
Given, Tara has a box of 908 beads.
And one bracelet has 15 beads as per Tara's wish.
To find the number of bracelets,
we divide the total beads to beads in one bracelet.
That means,
Number of bracelets = 908 / 15= 60 (rounded)
Therefore, the maximum 60 bracelets, Tara can have with 15 beads in each bracelet.
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Answer:
60 bracelets
Step-by-step explanation:
908 / 15 = 60.5
you can not have half a bead on the bracelets so round down because you only have 908 beads and do not have more.