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Troyanec [42]
3 years ago
5

What is 17,242 rounded to the nearest 10,000

Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

20,000 hope that helps

Step-by-step explanation:

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Jon performs 3 transformations on a pentagon. First, he reflects it over the x-axis. Then, he translates it 3 units to the left
Liono4ka [1.6K]
All the transformation performed on a pentagon does not affect on its size or its length
It is not stretched or shrunk
So,
        The original and transformed images are congruent

8 0
3 years ago
The bounds for a discrete brownian walk is [-3, 4]. what is the probability that the escape happens at 4?
Akimi4 [234]

Using it's concept, there is a 0.125 = 12.5% probability that the escape happens at 4.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Considering that the bounds for a discrete brownian walk is [-3, 4], the possible outcomes are:

-3, -2, -1, 0, 1, 2, 3, 4.

A escape at 4 is one outcome, hence the probability is given by:

p = 1/8 = 0.125.

0.125 = 12.5% probability that the escape happens at 4.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ4

3 0
2 years ago
6.Suppose the Gallup Organization wants to estimate the population proportion of those who think there should be a law that woul
drek231 [11]

Answer:

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In a previous study of 1012 randomly chosen respondents, 374 said that there should be such a law.

This means that n = 1012, \pi = \frac{374}{1012} = 0.3696

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large a sample size is needed to be 95% confident with a margin of error of E?

A sample size of n is needed, and n is found when M = E.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

E = 1.96\sqrt{\frac{0.3696*0.6304}{n}}

E\sqrt{n} = 1.96\sqrt{0.3696*0.6304}

\sqrt{n} = \frac{1.96\sqrt{0.3696*0.6304}}{E}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2

A sample of n = (\frac{1.96\sqrt{0.3696*0.6304}}{E})^2 is needed, in which E is the desired margin of error, as a proportion. If we find a decimal value, we round up to the next whole number.

4 0
3 years ago
Louise, Tammy, Delores, and Sheryl score 78 points total in the tennis matches they play. They score a consecutive number of poi
irga5000 [103]

\huge\boxed{18\ \text{points}}

We'll represent Louise's, Tammy's, Delores's, and Sheryl's point values with x, x+1, x+2, and x+3 respectively since each one is 1 point more than the last.

Add all of these values up and set it all equal to 78.

x+x+1+x+2+x+3=78

Now, simplify.

4x+6=78

Subtract 6 on both sides.

\begin{aligned}4x+6-6&=78-6\\4x&=72\end{aligned}

Divide both sides by 4.

\begin{aligned}\frac{4x}{4}&=\frac{72}{4}\\x&=\boxed{18}\end{aligned}

Since Louise's score is x, the answer is 18.

<h3>Double-checking</h3>

To verify our answer, add the point totals 18, 19, 20, and 21.

This equals 78, so we can be sure the answer is correct.

5 0
2 years ago
How do the absolute value of -11.5 and the absolute value of -9.5 COMPARE ? choose the correct symbol.
Step2247 [10]

Answer:

>

Step-by-step explanation:

absolute value is just the number without the negative sign if there is one.

11.5>9.5 always.

5 0
3 years ago
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