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raketka [301]
2 years ago
9

4, 12, 20, .. Find the 46th term.

Mathematics
1 answer:
lutik1710 [3]2 years ago
3 0

Answer:

46th term of the sequence is 364

Step-by-step explanation:

first term = 4

common difference = 12 - 4 = 8

46th term = first term+(46 - 1)×common difference

so,

  • 46th term = 4 + ( 45 ) × 8
  • 46th term = 4 + 360
  • 46th term = 364

<em>i</em><em> </em><em>hope</em><em> </em><em>it</em><em> </em><em>helped</em><em>.</em><em>.</em><em>.</em><em>.</em>

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-2 4/5 + 1/4 equals what ?
vlada-n [284]
Hey there! :)

Since 2 4/5 is greater than 1/4, the answer is negative.

You can just subtract 2 4/5 and 1/4 and add the (-) sign

2 4/5 - 1/4

Change the fractions so they can have a common denominator: 20

2 4/5 = 2 16/20

1/4 = 5/20

2 16/20 - 5/20 = 2 11/20

Add the (-) sign → -2 11/20

Answer ⇒ -2 11/20

:)
5 0
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
Evaluate the expression 14C2
lisabon 2012 [21]
\bf _nC_r= \cfrac{n!}{r!(n-r)!}\qquad \qquad _{14}C_2=\cfrac{14!}{2!(14-2)!}
5 0
3 years ago
11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started
Andrews [41]

Answer:

0

Step-by-step explanation:

Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.

Displacement = final point - initial point

(<em>both</em><em> </em><em>are</em><em> </em><em>same</em><em>)</em>

<em>=</em><em> </em>same - same

= 0

6 0
2 years ago
Negative 5X +3 equals 18
andrey2020 [161]
-5x +3 =18
Subtract 3 from each side
-5x= 15
Divide by -5 
x= -3 
6 0
3 years ago
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