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zysi [14]
4 years ago
13

How do you know when you have found the prime factorization of a number?

Mathematics
2 answers:
SashulF [63]4 years ago
5 0
You've found the prime factorization when all of your factors are prime. They can't be divided into any smaller factors.
guapka [62]4 years ago
3 0
You know because all the factors are prime, none of them are one, and they multiply to make said number.

Hope this helps :)<span />
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Joel can run around a 14– mi track in 81 sec, and Jason can run around the track in 69 sec. If the runners start at the same poi
Alenkasestr [34]

Answer:37.2 sec

Step-by-step explanation:

Given

Joel takes 81 sec for 14 mile long track

speed of joel \frac{14}{1.35} mi/min=10.37 mi/min

Jason takes 69 sec for 14 mi track

so jason speed is \frac{14}{1.15} mi/min=12.17 mi/min

if both starts from same spot in opposite direction then

\frac{x}{10.37}=\frac{14-x}{12.17}

where x is distance covered by Joel

then x=6.44 miles

therefore time required

t=\frac{6.44}{10.37}=0.621 min\approx 37.2 sec

8 0
4 years ago
The Statistical Abstract of the United States published by the U.S. Census Bureau reports that the average annual consumption of
Karo-lina-s [1.5K]

Answer:

a) P(\bar X

b)P(98

c) P(\bar X

d) P(93

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(99.9,30)  

Where \mu=99.9 and \sigma=30

We select a random sample of n=36. And from the central limit theorem we know that the distribution for the sample is given by:

\bar X \sim N(\mu =99.9 , \frac{\sigma}{\sqrt{n}}= \frac{30}{\sqrt{38}}=4.87)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

If we apply this formula to our probability we got this:

P(\bar X

=P(Z

Part b

For this case we want this probability:

P(98

=P(\frac{98-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-0.39

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-0.39

Part c

If we apply this formula to our probability we got this:

P(\bar X

P(\bar X

Part d

For this case we want this probability:

P(93

=P(\frac{93-99.9}{\frac{30}{\sqrt{38}}}

And we can find this probability on this way:

P(-1.42

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-1.42

3 0
3 years ago
Plspslososlslssllsjidpls help
hodyreva [135]

Answer:

Step-by-step explanation:

it's the second answer ,  the number of degrees between 0 and -5

7 0
3 years ago
Calculate the slope of a line that passes through the points (3, -20) and (5, 8).
shtirl [24]

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 + 20) / (5 - 3)

28 / 2

= 14

So, the slope is 14.

5 0
3 years ago
Read 2 more answers
Casey bought 6 bags of apples. Each bag contained 5 apples. How many
Snezhnost [94]
30 apples bc 5x6 (5 six times) =30
7 0
3 years ago
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