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SVETLANKA909090 [29]
2 years ago
10

To be able to say with 95% confidence level that the standard deviation of a data set is within 10% of the population's standard

deviation, the number of observations within the data set must be greater than or equal to what quantity?
Mathematics
1 answer:
boyakko [2]2 years ago
8 0
The answer in this question is 97.
0.20 SD = 1.96 SD / sqrt(n)
n = (1.96 / .200)^2
n = 96.04  
Which is rounded Up to 97
The number of observations within the data set must be greater than or equal to the quantity of 97.
You might be interested in
Why does multiplying a + bi by the complex conjugate a -bi eliminate I from the expression
navik [9.2K]

<u>EXPLANATION</u>

The reason is that

i^2=-1


If we multiply a+bi by its conjugate a-bi


We obtain;


(a+bi)(a-bi)

This is difference of two squares so we obtain;


(a+bi)(a-bi)=a^2-(bi)^2


This further gives us,

(a+bi)(a-bi)=a^2-b^2i^2

Since the i^2=-1, we substite to get;

(a+bi)(a-bi)=a^2-b^2(-1)

The i is now eliminated and we get,


(a+bi)(a-bi)=a^2+b^2






6 0
2 years ago
Given: ΔABC, AC = BC, AB = 3 CD ⊥ AB, CD = √3 Find: AC
valina [46]

Answer:

\boxed{AC = 2.3}

Step-by-step explanation:

AD = BD  (CD bisects AB means that it divides the line into two equal parts)

So,

AD = BD = AB/2

So,

AD = 3/2

AD = 1.5

<u><em>Now, Finding AC using Pythagorean Theorem:</em></u>

c^2 = a^2+b^2

Where c is hypotenuse (AC), a is base (AD) and b is perpendicular (CD)

AC^2= (1.5)^2+(\sqrt{3} )^2

AC^2 = 2.25 + 3

AC^2 = 5.25

Taking sqrt on both sides

AC = 2.3

3 0
1 year ago
Read 2 more answers
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly
Lina20 [59]
A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x. 
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c. 
f = 6
2x - x + 6 = x + 6
g = 1 
We factor out the (x+6) from the numerator and denominator
4 0
2 years ago
Read 2 more answers
If CDEF ≅ MNPQ, then ≅ DE ≅
Yanka [14]
The answer is A.NP.
5 0
2 years ago
Read 2 more answers
If Mitzi has two dogs, a puppy that weighs 25 pounds and an adult that weighs 80 pounds, how much will it cost to bathe them bot
Sidana [21]

Answer:

The correct answer is A) $105

Step-by-step explanation:

In this real-world problem,  the cost to groom both dogs is (the puppy) + (the adult dog) = x.

For the first step, y = 40, if x <= 25.

y = 50, if 25 < x < 50.

if x >= 50, then y = 0.50x + 25

So therefore, substitute the puppy + adult dog = x

25 + 80 = x

105 = x

So, the final answer is $105.

It's on Edgen.

4 0
1 year ago
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