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1 year ago

An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?

Mathematics

1 answer:

Rasek [7]1 year ago

6 0

Answer:

The airplane is cruising at 200 metres per second.

Step-by-step explanation:

The speed of the object can be got by dividing the distance it travelled by the time taken to travel that distance.

For us to get the accurate cruising speed, we will have to convert all units to their S.I form

Distance - 1 kilometer = 1 X 1000 metres = 1000 metres

1/12 of a minute = 1/12 X 60 = 5 seconds.

Therefore the speed = distance / time

= 1000/5 = 200m/s

The airplane is cruising at 200 metres per second.

You might be interested in

At a particular restaurant, each onion ring has 45 calories and each slider has 325 calories. A combination meal with onion ring

AlladinOne [14]

Answer:

There were 6 onion rings and 2 slider in the combination meal.

Step-by-step explanation:

Let x be the number of onion rings and y be the number of slider.

Calories in one onion ring = 45 calories

Calories in one slider = 325 calories

Total number of calories = 920

Thus, we can write the equation:

$45x + 325y = 920$

There are 3 times as many onion rings as the sliders.

Thus, we can write the equation:

$x = 3y$

Solving the two equation by substitution method, we get,

$45(3y) + 325y = 920\\460y = 920\\y = 2\\x = 3y = 3(2) = 6$

Thus, there were 6 onion rings and 2 slider in the combination meal.

7 0

2 years ago

A sequence of transformations maps ∆ABC to ∆A′B′C′. The sequence of transformations that maps ∆ABC onto ∆A′B′C′ is a followed by

Eddi Din [679]

The ABC sequence of points is clockwise in both figures, so there will be an even number of reflections or a rotation.

Rotation 90° clockwise about the point (-3, -3) would make the required transformation, but that is not an option. An equivalent is ...
• reflection across the line x = -3
• reflection across the line y = x

5 0

2 years ago

Read 2 more answers

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 219.7-cm and a standard dev

amm1812

Answer:

30.51% probability that the average length of a randomly selected bundle of steel rods is between 219.7-cm and 220-cm.

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 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 219.7 \sigma = 1.6, n = 21, s = \frac{1.6}{\sqrt{21}} = 0.3491$

Find the probability that the average length of a randomly selected bundle of steel rods is between 219.7-cm and 220-cm.

This is the pvalue of Z when X = 220 subtracted by the pvalue of Z when X = 219.7.

X = 220

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

By the Central Limit Theorem

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

$Z = \frac{220 - 219.7}{0.3491}$

$Z = 0.86$

$Z = 0.86$ has a pvalue of 0.8051

X = 219.7

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

$Z = \frac{219.7 - 219.7}{0.3491}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5

0.8051 - 0.5 = 0.3051

30.51% probability that the average length of a randomly selected bundle of steel rods is between 219.7-cm and 220-cm.

6 0

1 year ago

Read 2 more answers

Lines a and b are parallel. line c is perpendicular to both line a and line B. Which statement about lines a,b and C is not true

7nadin3 [17]

When lines are parallel, they have the same slope, so the statement "line a and line b have the same slope" is TRUE

When lines are perpendicular, the slopes are opposites (the sign and number is flipped)

For example:

slope is 2

perpendicular line's slope is -1/2

slope is -1

perpendicular line's slope is 1/1 or 1

slope is 4/5

perpendicular line's slope is -5/4

When you multiply(the product) perpendicular slopes together, they equal -1. Since line c is perpendicular to line a and line b, the product of their slopes is -1.(so this is true)

The statement "the sum of the slopes of line a and b is 0" is false because if they have the same slope, when added together the result would not be 0. The slopes of line a and line b is -2/3, so the sum would be -4/3.

7 0

2 years ago

Read 2 more answers

A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per sec

Dmitrij [34]

2.5 × 7 = 17.5

15.5 + 17.5 = 33

The scuba diver is -33 feet below the surface of water after 7 seconds.

Hope that helped! c:

3 0

1 year ago

Read 2 more answers