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2 years ago

A neon light flashes five times every 10 seconds. Show that the light flashes 43 200 times in one day.

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

4 0

1 day = 24 hours

1 hour = 60 minutes

1 minute = 60 seconds

60 seconds x 60 minutes = 3,600 seconds per hour

3,600 seconds per hour x 24 hours = 86,400 seconds per day.

The light flashes 5 times every 10 seconds:

5 flashes / 10 seconds = 1 flash every 2 seconds

86,400 seconds / 2 seconds = 43,200 flashes per day.

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4 3/8+ 2 7/12 <br> Alguém sabe a resposta

Nata [24]

Answer:

6 23/24

Step-by-step explanation:

First, find the least common factor of 8 and 12, the denominators.

8 16 24

12 24

24, is now the current denominnator,

8x 3 = 24

Now you go do it to the numerator, 3 x 3 = 9

9/24 + ?

Now, 12 x 2 = 24, do it to the numerator, 7 x 2 = 14

4 9/24 + 2 14/24

Now add the front numbers to make 6, than add the numerators and keep the denominator.

6 23/24, since you can not simplify this fraction, this is the answer.

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2 years ago

Which expression represents the product of an unknown number and 19?

Galina-37 [17]

I would go with D. Hope that helps :)

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3 years ago

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Find the midpoint of the line segment that has endpoints at (10,8) (-3,-10)

dem82 [27]

Hey there! :)

Answer:

(3.5, -1).

Step-by-step explanation:

Use the midpoint formula to solve this problem:

$(x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$

Plug in the coordinates given:

$(\frac{10-3}{2}, \frac{8-10}{2})$

Simplify:

$(\frac{7}{2}, \frac{-2}{2})$

Therefore, the coordinates of the mid-point are:

(3.5, -1).

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3 years ago

45% of the 647 students at Royal Oak High attended the football game. How many students did not attend?

Lostsunrise [7]

First multiply
.45*647= 291.15
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3 years ago

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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard

Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are 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.

Central limit theorem:

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 $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81$

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

$Z = \frac{30732 - 30393}{472.81}$

$Z = 0.72$

$Z = 0.72$ has a pvalue of 0.7642.

X = 30054

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

$Z = \frac{30054 - 30393}{472.81}$

$Z = -0.72$

$Z = -0.72$ has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

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3 years ago