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Diano4ka-milaya [45]
1 year ago
9

Round 2.1349 to the nearest hundredth. Explain in your own words why you round the number the way you do. Use a number line to s

upport your explanation.
Mathematics
2 answers:
Svetach [21]1 year ago
7 0

Answer:

2.1300

Step-by-step explanation:

Given  : Number 2.1349

To find : Explain in your own words why you round the number the way you do.

Solution : We have given 2.1349

Step 1 : Identify the hundredth place digit 3 in 2.1349.

Step 2 : Identify the thousandth place digit 4 in 2.1349.

We can see the thousandth digit is less than 5 it would be rounded down .

Step 3:

The hundredth digit would remain same and other digit would be 0.

Then number would be 2.1300

Therefore, 2.1300

zhenek [66]1 year ago
3 0

Answer:

2.13

Step-by-step explanation:

because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0

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The number of siblings each student at a softball game has is recorded. The graph below shows the probability distribution of ha
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Answer:

(C)4 siblings

Step-by-step explanation:

Probability is the likelihood of an event occurring or not. Probability value ranges from  impossibility(0) to certainty(1). The lower the value, the less likely the event is bound to occur.

From the probability distribution table, the probability of having 4 siblings at the game is 0. This is the lowest out of all the given value in the probability distribution table. Therefore, it is the least likely event.

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1 year ago
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Mr.wilkins deposited $2,500 in a new account at his bank . •the bank pays 6.5% interest compounded annually on this account •mr.
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Answer:

Step-by-step explanation:

$2,662.50

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2 years ago
A sample of 900 college freshmen were randomly selected for a national survey. Among the survey participants, 372 students were
Rufina [12.5K]

Answer:

a) ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423

b) 0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371

Step-by-step explanation:

1) Data given and notation  

n=900 represent the random sample taken    

X=372 represent the students were pursuing liberal arts degrees

\hat p=\frac{372}{900}=0.413 estimated proportion of students were pursuing liberal arts degrees

\alpha=0.01 represent the significance level

z would represent the statistic (variable of interest)    

p_v represent the p value (variable of interest)    

p= population proportion of students were pursuing liberal arts degrees

2) Solution to the problem

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

The margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

If we replace we have:

ME=2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.0423

And replacing into the confidence interval formula we got:

0.413 - 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.371

0.413 + 2.58 \sqrt{\frac{0.413(1-0.413)}{900}}=0.455

And the 99% confidence interval would be given (0.371;0.455).

We are confident (99%) that about 37.1% to 45.5% of students were pursuing liberal arts degrees.

7 0
1 year ago
Ursula Works At A Print Shop. She Uses A Printer That Can Print 12 Pages Per Minute. Yesterday She Started Printing Flyers For A
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Answer:

10:30 am.

Step-by-step explanation:

We have been given that Ursula uses a printer that can print 12 pages per minute.

Ursula started printing flyer for an order yesterday. Today at 8 am she continued working on the order, and by 9 a.m. she had 420 flyers for the order completed. The order was to print 1500 pages.

Let us find the number of pages left to print.

\text{Number of the pages left to print}=1500-420

\text{Number of the pages left to print}=1080

To find the time it will take to print 1080 pages we will divide number of pages left to print by number of pages printed per minute.

\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{\frac{\text{12 pages}}{\text{minute}}}}

\text{Time it will take to print 1080 pages}=\frac{1080\text{pages}}{12}\times \frac{\text{minute}}{\text{page}}}

\text{Time it will take to print 1080 pages}=90\text{ minutes}

90 minutes will be 1.5 hours , so 1.5 hours after 9 am will be 10:30 am. Therefore, the job was finished at 10:30 am.

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The answer is B. 3 feet
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