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Zanzabum
3 years ago
7

Which of the following are arithmetic sequences? Check all that apply.

Mathematics
1 answer:
morpeh [17]3 years ago
7 0

Answer:

Only A

Step-by-step explanation:

A. This is the arithmetic sequence, because

0.6-0.3=0.9-0.6=1.2-0.9=1.5-1.2=0.3.

The first term of this sequence is 0.3 and the difference is 0.3.

B. Since 3-2\neq 6-3, this is not arithmetic sequence.

C. Since 150-147=147-144\neq 144-142, this is not arithmetic sequence.

D. Since 4-2\neq 9-4, this is not arithmetic sequence.

You might be interested in
A charity receives 2025 contributions. Contributions are assumed to be mutually independent and identically distributed with mea
uysha [10]

Answer:

The 90th percentile for the distribution of the total contributions is $6,342,525.

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.

For sums of size n, the mean is \mu*n and the standard deviation is s = \sqrt{n}*\sigma

In this question:

n = 2025, \mu = 3125*2025 = 6328125, \sigma = \sqrt{2025}*250 = 11250

The 90th percentile for the distribution of the total contributions

This is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. Then

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

By the Central Limit Theorem

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

1.28 = \frac{X - 6328125}{11250}

X - 6328125 = 1.28*11250

X = 6342525

The 90th percentile for the distribution of the total contributions is $6,342,525.

3 0
3 years ago
The airplane reaches a height of 5000 meters after approximately 4.5 minutes.
kodGreya [7K]

Answer:

Step-by-step explanation:

The answer is 110 minutes. Just did this on Khan Academy :)

8 0
3 years ago
What is the distributive property in -6 (x - 6)-
LenaWriter [7]

Answer:

-6x+36

Step-by-step explanation:

-6 (x - 6)

Distribute

-6x -6 (-6)

-6x+36

8 0
3 years ago
Round off 600341 to the nearest a) tens b) hundreds c) thousands​
Anna71 [15]

a) 600340

b) 600300

c) 600000

8 0
3 years ago
A+ 2b = 10 2a + b =6
GenaCL600 [577]
First you can solve for b: Subtract a on both sides and get 2b=-a+10, then divide by 2 to get b by itself and get: b=-1/2a+5

Then you can plug in this equation for b in the other: This would give you: 2a+-1/2a+5=6. Then you can use that equation to solve for a and get: 1.5a+5=6, subtract 5, 1.5a=1, divide by 1.5, a=1/1.5

Then you can plug in the value of a to solve for b.


7 0
3 years ago
Read 2 more answers
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