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aleksklad [387]
3 years ago
6

How do you graph 3x^2+39x+108=0?

Mathematics
1 answer:
zzz [600]3 years ago
7 0
You can graph this by using a few selected points.

x y
-10 0
-9 0
-8 0

I included a picture of my graph I calculated from your equation.
Have a nice day!
~Brooke❤️
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A ski lift is designed with a total load limit of 20,000 pounds. It claims a capacity of 100 persons. An expert in ski lifts thi
Yanka [14]

Answer:

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

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 normal distributions 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.

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.

For the sum of n values of a distribution, the mean is \mu \times n and the standard deviation is \sigma\sqrt{n}

An expert in ski lifts thinks that the weights of individuals using the lift have expected weight of 200 pounds and standard deviation of 30 pounds. 100 individuals.

This means that \mu = 200*100 = 20000, \sigma = 30\sqrt{100} = 300

If the expert is right, what is the probability that a random sample of 100 independent persons will cause an overload

Total load of more than 20,000 pounds, which is 1 subtracted by the pvalue of Z when X = 20000. So

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

Z = \frac{20000 - 20000}{300}

Z = 0

Z = 0 has a pvalue of 0.5

1 - 0.5 = 0.5

0.5 = 50% probability that a random sample of 100 independent persons will cause an overload

5 0
3 years ago
7/10-1/2=<br> what is seven tenths minus one half
Setler [38]
You could make them have the same denominator, making it 7/10-5/10=2/10. 
The answer is 2/10, or simplified, 1/5.
5 0
3 years ago
Raleigh's temperature was 24 degrees F. At noon the temperature increase by 125%. At 4pm the temperature increase by 40%. What i
Ymorist [56]
The answer is 63.6 degrees Fahrenheit or rounded up it wpuld be 64 degrees
3 0
3 years ago
2/3 (greater than less than or equal) 8/12
NemiM [27]
2/3 = 8/12
reason:
2/3 * 4/4
5 0
3 years ago
Please help me with this question is hard and i will give you a Brainiest
Westkost [7]

Answer:

0

Step-by-step explanation:

10(x-2)=-20

10x-20=-20

10x=0

x=0

5 0
3 years ago
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