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Makovka662 [10]
3 years ago
11

Estimate by clustering: 56.9, 63.2, 59.3, 61.1 A. 240.0 B. 225.0 C. 200.0 D. 250.0

Mathematics
2 answers:
gregori [183]3 years ago
8 0
A. 240.0 add them all up
jekas [21]3 years ago
7 0
A. 240.0 add them all up
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Let $a_1$, $a_2$, . . . , $a_{10}$ be an arithmetic sequence. If $a_1 + a_3 + a_5 + a_7 + a_9 = 17$ and $a_2 + a_4 + a_6 + a_8 +
vfiekz [6]

So

a be first term and d be common difference

  • a+a+2d+a+4d+a+6d+a+9d=17
  • 5a+21d=17--(1)

And

  • a+d+a+3d+a+5d+a+7d+a+9d=15
  • 5a+25d=15--(2)

Eq(1)-Eq(2)

  • -4d=-2
  • d=1/2

Put in second one

  • 5a+25d=15
  • a+5d=3
  • a+5/2=15
  • a=15-5/2
  • a=25/2
7 0
2 years ago
Assume that adults have IQ scores that are normally distributed with a mean of 96 and a standard deviation of 15.7. Find the pro
astraxan [27]

Answer:

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

Step-by-step explanation:

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.

In this question, we have that:

\mu = 96, \sigma = 15.7

Probability that a randomly selected adult has an IQ greater than 123.4.

This is 1 subtracted by the pvalue of Z when X = 123.4. So

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

Z = \frac{123.4 - 96}{15.7}

Z = 1.745

Z = 1.745 has a pvalue of 0.9595

1 - 0.9595 = 0.0405

4.05% probability that a randomly selected adult has an IQ greater than 123.4.

7 0
3 years ago
Which equation represents the function shown in the input-output table?
stepladder [879]

Answer:

Equation B

Step-by-step explanation:

Equation B because:

it is 7x + 3

so for the first one, it's 7 + 3

the second one is 14 + 3

the third one is 21 + 3

the fourth one is 28 + 3

Please Mark Brainliest

4 0
3 years ago
Enter numbers to write 0.000328
Makovka662 [10]

Answer:

3.28 x 10^-4


Step-by-step explanation:

0.000328 = 3.28 x 10^-4

7 0
3 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
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