1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ycow [4]
2 years ago
15

A random sample of 120 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviatio

n of 240. If we want to provide a 95% confidence interval for the SAT scores, the degrees of freedom for reading the critical values of the "t" value is:_________
Mathematics
1 answer:
sammy [17]2 years ago
8 0

Answer:

1.980

Step-by-step explanation:

Given that a random sample of 120 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240

Here nothing mentioned about the distribution but sample size is very large.

Since population std deviation is not known, only sample std deviation is used.

t test will be more appropriate.

df = degrees of freedom = n-1=119

For two tailed 95% level, t critical value for 119 df would be

1.980

Using this critical value confidence interval would be formed.

You might be interested in
What is the area of this partial circle with a radius of 14 inch
AveGali [126]

Step-by-step explanation:

Since this circle is partial we will divide the area of the whole circle by 2

the area of a circle is expressed by \pi r^2 so insert 14 for the radius.

14^2\pi

196\pi

divide the area by 2

98\pi=307.876

Hope that helps :)

6 0
2 years ago
Explain and demonstrate the multiplication of complex conjugates using 2+3i and its complex conjugate. Be sure to discuss all st
krok68 [10]

The product of a <em>complex</em> number and its conjugate is (a + i b) · (a - i b), where a and b are <em>real</em> numbers, and the result for the <em>complex</em> number 2 + i 3 is 13.

<h3>What is the multiplication of a complex number and its conjugate</h3>

Let be a <em>complex</em> number a + i b, whose conjugate is a - i b. Where a and b are <em>real</em> numbers. The product of these two numbers is:

(a + i b) · (a - i b)

Then, we proceed to obtain the result by some algebraic handling:

a · (a + i b) + (- i b) · (a + i b)

a² + i a · b - i a · b - i² b²

a² - i² b²

a² + b²

If we know that a = 2 and b = 3, then the product of the complex number and its conjugate is:

z\cdot \bar z = 2^{2} + 3^{2}

z\cdot \bar z = 13

To learn more on complex numbers: brainly.com/question/10251853

#SPJ1

6 0
2 years ago
What is the difference between a factor of a number and a multiple of a number? use the number 25 has an example
Ne4ueva [31]

Answer:

  • factor: a submultiple; an integer value that gives an integer quotient when the number is divided by it.
  • multiple: the product of the number and another integer

Step-by-step explanation:

<h3>Factors</h3>

A set of factors of a number (N) is a set of integers {f1, f2, f3, ...} whose product is the number:

  f1 × f2 × f3 × ... = N

Often the term "factors" is used to mean "prime factors," the set of prime numbers whose product is N.

When N = 25, the prime factors are {5, 5}. That is ...

  5×5 = 25

__

<h3>Divisors</h3>

A "divisor" of a number is a sub-multiple of N. That is, the quotient N/k is an integer for some divisor k of N. Usually, we're interested in integer divisors. All prime factors will be integer divisors of N. The term "factor" is often used when the term "divisor" is meant.

Divisors of N = 25 include 1, 5, and 25. There will be an odd number of integer divisors (as here) if the number N is a perfect square.

__

<h3>Multiples</h3>

For an integer k, the value k×N is called a <em>multiple</em> of N, often, the <em>k-th multiple</em> of N.

Multiples of 25 include 25, 50, 75, 100, 125, and any other decimal number ending in 25, 50, 75, or 00.

__

<em>Another example</em>

When N=30, the prime factors are {2, 3, 5}. The divisors are {1, 2, 3, 5, 6, 10, 15, 30}. (Note there are an even number of divisors.) Multiples of 30 include 30, 60, 90, 120, ....

6 0
2 years ago
4,756 rounded to the nearest thousand is
Shalnov [3]

4,756 rounded to the nearest thousand is 5,000.

8 0
3 years ago
Read 2 more answers
Demonstrate how repeated subtraction can be used to show that 22 dividend by 7 = 3 r 1
Rudik [331]
22-7-7-7=1 this will show that you can subtract 7 three times from 22 and have a remainder of 1.
6 0
3 years ago
Other questions:
  • F 9 is added to twice a number and this sum is multiplied by 4​, the result is the same as if the number is multiplied by 4 and
    13·1 answer
  • If a person earns $19,850 per year , estimate that persons hourly salary ..please give me details and how you rounded 
    6·1 answer
  • Solve for u.<br> -2 (2u- 4) + 2u= 4 (u+3)
    7·1 answer
  • Evaluate the following expression <br> 20/ 2 + 8
    13·1 answer
  • Karen made 175 quarts of punch for her son and 11.3 quarts for
    11·1 answer
  • Rewrite 5V4•V2 as a single radical.
    11·1 answer
  • 20% of all the children in a class are left handed.
    6·1 answer
  • 213 Marks
    9·1 answer
  • A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. T
    12·1 answer
  • Please make a polynomial meeting the criteria (MAX POINTS) (WILL MAKE VALID ANSWER BRAINLIEST) 50 pts
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!