The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 17 seconds?

Answers

Answer 1

Answer: Direct variation:
$y=kx^2$
y - the distance, x - the time

The object falls 144 feet in 3 seconds.
$144=k * 3^2 \n144=9k \nk=(144)/(9) \nk=16 \n \Downarrow \n y=16x^2$

The object falls y feet in 17 seconds.
$y=16 * 17^2 \ny=16 * 289 \ny=4624$

In 17 seconds the object will fall 4624 feet.

Answer 2

Answer:

Question

This is a relatively close question, and I have tried multiple times. Can you help?

The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 18 seconds?

Answer: The one below is correct.

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For the data shown in the stem-and-leaf plot, what is the effect on the mean and median of adding the value 10 to the data set? A. The mean is decreased by about 0.7 and the median is decreased by 2. B. The mean is decreased by about 0.7 and the median is decreased by 3. C. The mean is decreased by about 1.2 and the median is decreased by 2. D. The mean is decreased by about 1.2 and the median is decreased by 3.

Answers

The correct answer for the question that is being presented above is this one: " C. The mean is decreased by about 1.2 and the median is decreased by 2." For the data shown in the stem-and-leaf plot, the effect on the mean and median of adding the value 10 to the data set is that the mean is decreased by about 1.2 and the median is decreased by 2.

I need help really bad I'm gonna give 25 points who helps me

Answers

I hope this helps you

Ans

Step-by-step explanation:

Which of the following would indicate that a dataset is skewed to the right? a. The interquartile range is larger than the range.
b. The range is larger than the interquartile range.
c. The mean is much larger than the median.
d. The mean is much smaller than the median.

Answers

Answer: c. The mean is much larger than the median

Step-by-step explanation:

A dataset is skewed to the right when the peak of the dataset is located in the left( left of the mean), and it has a long right tail. It is also call positive skewed distribution. One of the characteristics of right skewed dataset is that the mean of the dataset is always greater/larger than the median and mode.

Therefore, for the case above if the mean is much larger than the median, it indicates that the dataset is skewed to the right.

A dataset is skewed to the right when the mean is much larger than the median. Therefore, the correct answer is option c.

When a dataset is skewed to the right, it means that the distribution of data is not symmetric, and it is stretched out more towards the higher values (right side) than the lower values (left side). This can be due to the presence of outliers or a natural characteristic of the data.

Now, let's look at why option "c" indicates right skewness:

c. The mean is much larger than the median.

The mean is the arithmetic average of all the values in the dataset, while the median is the middle value when the data is arranged in order. When a dataset is positively skewed (skewed to the right), it means that there are some significantly larger values in the right tail of the distribution that pull the mean to the right (towards higher values).

In this situation:

The mean gets pulled toward the larger values because the larger values have a greater impact on the mean due to their magnitude.

The median remains closer to the bulk of the data because it is not affected by extreme values as much as the mean.

So, when the mean is much larger than the median, it is an indication that there are significant outliers or a longer right tail in the dataset, which is a characteristic of a right-skewed distribution.

Therefore, the correct answer is option c.

Learn more about Skewed to the right here:

brainly.com/question/31544308

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24x + 34p = p
Solve for p

Answers

Answer:

$(-24)/(33)$ x = p

Step-by-step explanation:

24x + 34p = p Subtract 34 p from both sides of the equation

24x + 34p -34p = p - 34p

24x = -33p Divide both sides by -33

$(24x)/(-33)$ = $(-33p)/(-33)$

$(24x)/(-33)$ = p or .2727...

If 19 more than 2 times a number is 23, what is the number?

Answers

2 is the unknown number.

Let x be the unknown number.

2x + 19 = 23
2x = 23 - 19
2x = 4
2x/2 = 4/2
x = 2

to check:
2(2) + 19 = 23
4 + 19 = 23
23 = 23

Use the Distributive
Property to rewrite 8(16) + 8(6). Then evaluate the
expression.

Answers

Answer:

see explanation

Step-by-step explanation:

8(16) + 8(6) ← factor out 8 from each term

= 8(16 + 6)

= 8(22)

= 8 × 22

= 176

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