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3 years ago

A hot air balloon descended 99.6 meters in 12 seconds. What was the balloon's average rate of descent in meters per second?

Mathematics

2 answers:

bagirrra123 [75]3 years ago

5 0

99.6 divided by 12 is 8.3 so the answer is 8.3

maks197457 [2]3 years ago

5 0

Answer: 8.3 meters per second.

Step-by-step explanation:

Given : A hot air balloon descended 99.6 meters in 12 seconds.

then, the average rate of descent is given by :-

$\text{Average rate of descent}=\dfrac{\text{\text{Distance descended }}}{\text{Time}}\\\\\Rightarrow\ \text{Average rate of descent}=\dfrac{99.6}{12}\\\\\Rightarrow\ \text{Average rate of descent}=8.3$

Therefore, the balloon's average rate of descent in meters per second = 8.3 meters per second.

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A researcher surveyed 220 residents of a city about the number of hours they

olga55 [171]

Answer:

Margin of error of 0.0485 hours.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

$\sigma = 0.35, n = 220$

The margin of error is of:

$M = z\frac{\sigma}{\sqrt{n}}$

$M = 1.96\frac{0.35}{\sqrt{200}}$

$M = 0.0485$

Margin of error of 0.0485 hours.

5 0

3 years ago

I have 18ones,15hundreds,15tens,and 8 thousands

Oksanka [162]

9668

Explanation:

18 ones, 18x1=18

15 hundreds, 15x100 =1500

15 tens, 15x10=150

8 thousands,8x1000=8000

8x1000=800018+1500+150+8000=9668

Hope this answer correct :)

5 0

3 years ago

Write 9^6 as a power with a base of 3.

Elodia [21]

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4 0

3 years ago

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Which of the following situations can be modeled by the expression -4 + (-7)?

cupoosta [38]

Third option: Elsa lost four points on the last math quiz, and Marc lost seven points. How many total points did they lose?

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3 years ago

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50 pts please help me due today links or incorrect answers will get reported

Bumek [7]

Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

z = 0.75: 0.7734.

z = -1.3: 0.0968.

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

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3 0

2 years ago