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Step2247 [10]
3 years ago
11

6 , 12 , 20 , 30 , 42 , 56 , 72 , . . .

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0
The next number would be 90.

Explanation: 6+6=12
12+8=20
20+10=30
30+12=42
42+14=56
56+16=72

You keep adding two every time. So you would then do 72+18=90.

Hope this helps! :)
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It’s 100 I’m pretty sure
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What is the name given to this shaded region
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Answer:

The name given to the shaded region would be the positive interval because all f(x) values in that region are positive.

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2 years ago
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 a
KATRIN_1 [288]

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

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 z-score 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 p-value, 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.

Mean of $2,275 and a standard deviation of $290.

This means that \mu = 2275, \sigma = 290

Sample of 65:

This means that n = 65, s = \frac{290}{\sqrt{65}}

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

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

By the Central Limit Theorem

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

Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}

Z = -5

Z = -5 has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

7 0
2 years ago
4/9 divided by what equals 12
NeX [460]
(4/9)/x = 12
(4/9) = 12x
Divide both sides by 12
(1/27) =x
7 0
2 years ago
Read 2 more answers
Which fraction is equivalent to 38%?<br> 3/8<br> 9/25<br> 19/50<br> 3 4\5
KonstantinChe [14]
In order to find a fraction, We know that a percentage is out of a 100. This means we can now place our fraction as:

38/100

In order to find the actual fraction, we will want to simplify. Lets find our least common factor and work down from there. Since we know that 2 can go into both of them, lets reduce by 2.

This means our fraction will now look like: 

19/50

Since 19 is a prime number and cannot be divided by anything but 1 and itself, we know that this is our simplified form. 

This means:

19/50 is the fraction equivalent to 38%. 
5 0
3 years ago
Read 2 more answers
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