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Lina20 [59]
3 years ago
6

Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with

mean 554 and standard deviation 106. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 24.7 and standard deviation 3.2.
1. What is Elanor's standardized score?
Round to 2 decimal places.
2. What is Gerald's standardized score?
Round to 2 decimal places.
3. Assuming that both tests measure the same kind of ability, who has the higher score?
a. Gerald.
b. Elanor.
c. They both did equally well.
Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

  1. Elanor's standardized score is  1.19
  2. Gerald's standardized score is 0.72
  3. Elanor has higher score

Step-by-step explanation:

To compare Elanor's and Gerald's math scores, we need to standardize them and calculate their z-scores.

z score can be calculated using the formula

z=\frac{X-M}{s} where

  • X is the student's score
  • M is the mean score of the exam
  • s is the standard deviation of the exam

Elanor's standardized score is:

z(e) = \frac{680-554}{106} ≈ 1.19

Gerald's standardized score is:

z(g)= \frac{27-24.7}{3.2} ≈ 0.72

Since z(e) > z(g), Elanor has higher score

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Alexxx [7]

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

To learn more on patterns: brainly.com/question/23136125

#SPJ1

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2 years ago
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seropon [69]

Method A: If we count, we see that the answer is 31.

Method B: 19 - -12 = 31. We can even do -12 - 19 and we'll get the same answer: -31, and the absolute value of -31 is 31.

Both methods will give you the same answer.

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spin [16.1K]

Answer:

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Step-by-step explanation:

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