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goblinko [34]
3 years ago
7

The standard IQ test has a mean of 102 and a standard deviation of 13. We want to be 98% certain that that we are within 5 IQ po

ints of the true mean. Determine the required sample size.
Mathematics
1 answer:
aleksklad [387]3 years ago
5 0

Answer:

37

Step-by-step explanation:

Margin of error = critical value × standard error

For 98% confidence, CV = 2.326 (from t table).

Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.

Plugging in:

5 = 2.326 × 13 / √n

n = 36.6

Rounding up, n = 37.

You might be interested in
How to find volume of 7 and 8? (20 pts)
Airida [17]

Answer:

7

Step-by-step explanation:

7.base of triangle=√(32.5²-28²)

=√4.5(32.5+28)

=√4.5(60.5)

=√272.25

=16.5

area of triangle=1/2  ×16.5×28

=231

volume=231×31=7161 km³

8.

39.4-25=14.4

width=√(30.6²-14.4²)

=√16.2(30.6+14.4)

=√16.2(45)

=√729

=27

volume=(25+39.4)/2 ×27×35

=(64.4)/2×27×35

=32.2×27×35

=30429 cm³

7 0
3 years ago
Find the value of x​
soldier1979 [14.2K]

Answer:

x = -14

Step-by-step explanation:

Look at the image attatched. I have labeled the angles for better explanation.

We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:

108 = x + 122.

We then solve this by getting:

x = 108 - 122

which gives us the answer of

x = -14

3 0
3 years ago
Read 2 more answers
What is the length of bd
NikAS [45]

Answer:

B

Step-by-step explanation:

I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.

We need to find the positive difference in their x coordinates and y coordinates.

The difference in x coordinates: 7

The difference in y coordinates: 8

Now we can use the Pythagorean theorem:

7^2+8^2 = x^2

49+64 = x^2

113 = x^2

x = sqrt(113)

Therefore, the answer is B.

3 0
3 years ago
Given g(x)=5x+4, solve for x when g(x)=9
Alex

Answer:

The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Terms/Coefficients

Functions

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

g(x) = 5x + 4

g(x) = 9

<u>Step 2: Solve for </u><u><em>x</em></u>

  1. Substitute in function value:                                                                           9 = 5x + 4
  2. [Subtraction Property of Equality] Subtract 4 on both sides:                       5 = 5x
  3. [Division Property of Equality] Divide 5 on both sides:                                1 = x
  4. Rewrite:                                                                                                            x = 1

∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.

---

Topic: Algebra I

8 0
2 years ago
Arborists use the diameter of a tree trunk to predict the age of a tree. The following computer output and residual plot
padilas [110]

Answer:

C. 210

Step-by-step explanation:

I just took it on edge

8 0
3 years ago
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