All categories

2 years ago

A sailor entered a race and made a round trip of 213.709 miles. What is 213.709 rounded to the nearest hundredth?

Mathematics

2 answers:

bulgar [2K]2 years ago

6 0

Answer:

Step-by-step explanation:

There was this saying they told me for rounding things. 5 or more, let it soar. 4 or less, let it rest. 9 is greater than or equal to 5, meaning that the digit in the hundredths place will increase by one.

Natasha2012 [34]2 years ago

4 0

Step-by-step explanation:

213.71 rounded to the hundreds

You might be interested in

Bob Rohrman is offering a 2016 Toyota Camry for $29,000. If you have a $5,000 down payment and are able to borrow the rest at a

vova2212 [387]

Answer:

The monthly payment will be $531.12

Step-by-step explanation:

Consider the provided information.

After paying $5,000 down payment you need to pay:

$29,000-$5,000=$24,000

APR is 2.99% or APR = 0.299%

Therefore, $r=\frac{0.0299}{12}$

n = 48

We can calculate the monthly payment by using the formula:

$P=\frac{r(PV)}{1-(1+r)^{-n}}$

Where P is the monthly payment, PV is the present value, r is the rate per period and n is the number of period.

Substitute the respective values in the above formula we get,

$P=\frac{\frac{0.0299}{12}(24000)}{1-(1+\frac{0.0299}{12})^{-48}}$

$P=\frac{59.8}{0.112593}$

$P\approx531.12$

Hence, the monthly payment will be $531.12

4 0

2 years ago

What is the unit rate of 3 accidents in 12 months

Wewaii [24]

Simplify 3 to 12 Divide 3 1 to 4 So the answer is 1 car accident in 4 month ~JZ Hope it helps you out there

7 0

2 years ago

Read 3 more answers

A scientist measures a substance to be 0.8 grams. Calculate the percent of error in the measurement. Show all work for full cred

Volgvan

You'll need to give a bit more information for the question to be answered. You can only calculate the percentage of error if you know what the mass of the substance *should be* and what you've *measured* it to be.

In other words, if a substance has a mass of 0.55 grams and you measure it to be 0.80 grams, then the percent of error would be:

percent of error = { | measured value - actual value | / actual value } x 100%

So, in this case:

percent of error = { | 0.80 - 0.55 | / 0.55 } x 100%
percent of error = { | 0.25 | / 0.55 } x 100%
percent of error = 0.4545 x 100%
percent of error = 45.45%

So, in order to calculate the percent of error, you'll need to know what these two measurements are. Once you know these, plug them into the formula above and you should be all set!

6 0

2 years ago

Karina read a total of 20 2/4 pages in her science and social studies books combined she read 12 3/4 pages in her science book h

wlad13 [49]

Answer:

8 1/4

Step-by-step explanation:

20 2/4

12 3/4

__________

8 1/4

4 0

2 years ago

Read 2 more answers

A hospital finds that 22% of its accounts are at least 1 month in arrears. A random sample of 425 accounts was taken. What is th

GenaCL600 [577]

Answer:

8.85% probability that fewer than 82 accounts in the sample were at least 1 month in arrears

Step-by-step explanation:

For each account, there are only two possible outcomes. Either they are at least 1 month in arrears, or they are not. The probability of an account being at least 1 month in arrears is independent from other accounts. So the binomial probability distribution is used to solve this question.

However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .