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mafiozo [28]
3 years ago
8

Which statement best describes the association between variable X and variable Y?

Mathematics
2 answers:
Serjik [45]3 years ago
8 0

Not all heroes wear capes. Anyways thank you!

Lerok [7]3 years ago
8 0

Five star review. Would come again.

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It takes stewart 8 minutes to drive to the store. It takes him 7 times as many minutes to Drive to work than it takes him to Dri
fenix001 [56]

Answer:

56

Step-by-step explanation:

8 * 7 = 56

<u>How many minutes does it take stewart to Drive to work? = 7 times</u> <u>8 minutes</u>

5 0
3 years ago
What is the value of the 9th term in the following geometric sequence?
earnstyle [38]

Answer:  The correct option is (D) 196608.

Step-by-step explanation:  We are given to find the value of the 9th term in the following geometric sequence :

3,     12,    48,    192,    .     .     .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

a_n=ar^{n-1}.

For the given sequence, we have

first term, a = 3  and the common ratio, r is given by

r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.

Therefore, the 9th term of the given sequence will be

a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

7 0
4 years ago
Fraction to decimal. What is 5/2 in decimal form?
Novosadov [1.4K]

Answer:

2.5

Step-by-step explanation:

4 0
3 years ago
Four friends bought an extra-large $12 popcorn. Each person bought their own drink. The total cost of the food can be represente
Sav [38]

Answer:

True

Step-by-step explanation:

This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.

4 0
3 years ago
The lifespan (in days) of the common housefly is best modeled using a normal curve having mean 22 days and standard deviation 5.
Natasha_Volkova [10]

Answer:

Yes, it would be unusual.

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.

If Z \leq -2 or Z \geq 2, the outcome X is considered unusual.

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.

In this question, we have that:

\mu = 22, \sigma = 5, n = 25, s = \frac{5}{\sqrt{25}} = 1

Would it be unusual for this sample mean to be less than 19 days?

We have to find Z when X = 19. So

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

By the Central Limit Theorem

Z = \frac{19 - 22}{1}

Z = -3

Z = -3 \leq -2, so yes, the sample mean being less than 19 days would be considered an unusual outcome.

7 0
3 years ago
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