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Illusion [34]
3 years ago
13

Round 490,618 to the nearest hundred

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0

Answer: 490,600

Step-by-step explanation:

Tomtit [17]3 years ago
4 0

Answer:

490600

Step-by-step explanation:

The answer would be 490600 because when you are rounding you start at the ones. So 8, you can round 8 up to ten which adds the the ten that was there which results in 20. 20 isn't large enough to be rounded up so it has to be rounded down 20, the 6 is affected by the 2 (because it couldn't be rounded up) so it stays the same therefore your answer is 490600. :D

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A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is
ICE Princess25 [194]

Answer:

The probability is 0.789

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\sigma = 16, n = 400, s = \frac{16}{\sqrt{400}} = 0.8

Find the probability that the mean age of the individuals sampled is within one year of the mean age for all individuals in the city.​

Using \mu = 30, this is the pvalue of Z when X = 31 subtracted by the pvalue of Z when X = 29. So

X = 31

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{31 - 30}{0.8}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

X = 29

Z = \frac{X - \mu}{s}

Z = \frac{29 - 30}{0.8}

Z = -1.25

Z = -1.25 has a pvalue of 0.1056

0.8944 - 0.1056 = 0.7888

Rounded to three decimal places, 0.789

The probability is 0.789

4 0
3 years ago
Read 2 more answers
Find the coordinates for the midpoint of the segment with endpoints given. (12, 4) and (-8, 8) (2, 6) (10, 6) (2, 2)
cluponka [151]
The given coordinates are:
p1: (12,4) and p2: (-8,8)

Th x coordinate of the midpoint is calculated as follows:
Xmidpoint = (x1+x2) / 2 = (12+-8) / 2 = 4/2 = 2

The y coordinate of the midpoint is calculated as follows:
Ymidpoint = (y1+y2) / 2 = (4+8) / 2 = 12/2 = 6

Based on the above calculations, the midpoint of the segment with the given coordinates is (2,6)
8 0
3 years ago
Choose the best definition for the following term: exponent. (1 point) Shorthand that tells how many times the base is used as a
babunello [35]
An exponent is the number or value being raised to a power.
8 0
3 years ago
How to do this question
blsea [12.9K]
This is a 3 step problem. First you ignore the hole in the middle and find the volume anyways. Then you find the volume of the empty middle part. Then you can find the volume of the actual shape by subtracting them. 
area of a circle is= pi r^2
Volume with hole: 5*5*pi*8=200pi
Volume of hole= 1.5*1.5*pi*8= 18pi
Volume of doughnut = 200pi-18pi=182pi=571.769863u^3

r is the radius which is half of the diameter. 
pi is a big number but you can use 3.14
the formula for finding the volume is area of base times height. That's why i multiplied it by 8.]

I hope this helps
8 0
3 years ago
A chocolate manufacturer sells a 320g ar of chocolate for 50p. The size of the bar is reduced by 20%, and the price to 42p.
Contact [7]

Answer:

  less value

Step-by-step explanation:

To deterimine if value was improved or not, we need to compare the price reduction to the size reduction.

__

The reduction in price is ...

  ((new value)/(old value) -1) × 100%

  = (42/50 -1) × 100% = -16%

The size reduction of 20% is more than the price reduction of 16%, so the chocolate bar is <em>less value</em>.

_____

<em>Additional comment</em>

Compared to the original value, the new price to chocolate ratio is ...

  0.84/0.80 = 1.05

Effectively, the price was raised by 5%.

6 0
2 years ago
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