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rodikova [14]
3 years ago
12

The standard IQ test has a mean of 97 and a standard deviation of 17. We want to be

Mathematics
1 answer:
densk [106]3 years ago
6 0

Let's call our estimate x. It will be the average of n IQ scores. Our average won't usually exactly equal the mean 97.  But if we repeated averages over different sets of tests, the mean of our estimate the average would be the same as the mean of a single test,

μ = 97

Variances add, so the standard deviations add in quadrature, like the Pythagorean Theorem in n dimensions.  This means the standard deviation of the average x is

σ = 17/√n

We want to be 95% certain

97 - 5 ≤ x ≤ 97 + 5

By the 68-95-99.7 rule, 95% certain means within two standard deviations. That means we're 95% sure that

μ - 2σ ≤ x ≤ μ + 2σ

Comparing to what we want, that's means we have to solve

2σ = 5

2 (17/√n) = 5

√n = 2 (17/5)

n = (34/5)² = 46.24

We better round up.

Answer: We need a sample size of 47 to be 95% certain of being within 5 points of the mean

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Determine the area of the triangular ABC with AC =5cm and height DB=30mm​
seropon [69]

Answer:

Step-by-step explanation:

AC² = AD² + DB ²

25 = AD² + 9

AD²= 25 - 9

AD² = 16

AD = 4

Area = 4*3 /2

= 6cm

4 0
3 years ago
Express 0.96 as a fraction
svp [43]
Since 6 is in the hundredths place,

96/100

You can divide that by two for a different, but equal fraction.

48/50, 24/25

24/25 is the simplest form.

I hope this helped you!
~kaikers
4 0
3 years ago
Kim has 8 dollars less than twice Ricky. If
olya-2409 [2.1K]

Based on the information given, it should be noted that the correct option is C. 3x - 8.

<h3>Solving equations.</h3>

From the information given, it was stated that Kim has 8 dollars less than twice Ricky. This will be:

= (2 × x) - 8.

= 2x - 8

Also, Ricky has x dollars. Therefore, the amount that they have together will be:

= 2x - 8 + x

= 3x - 8

Learn more about equations on:

brainly.com/question/13763238

4 0
2 years ago
I used elimination to solve this system of equations and found out that y = 1. What does x equal?
stepan [7]
5x + 4y = 24
Substitute y for 1
5x + 4 = 24
5x =20
x = 4
5 0
3 years ago
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the e
liberstina [14]

Answer:

<h2><u>The amount paid to an employee was </u><u>162</u></h2>

Step-by-step explanation:

<h2><u>The expression 12h + 30w Identifies the amount paid to an employee.</u></h2><h2><u>Let h represent hours and let w represent the total amount of g-wagons sold. </u></h2><h2><u>Since the question explains that an employee works 6 hours and sells 3 wagons, put h as h = 6 and w as w = 3. We would end up getting this equation. 12h + 30w = 12(6) + 30(3).</u></h2><h2><u>Now all you need to do is solve it.</u></h2><h2><u>left side = 72</u></h2><h2><u>right side = 90</u></h2><h2><u>72 + 90 =</u><u> 162</u></h2>
6 0
3 years ago
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