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andrey2020 [161]
3 years ago
6

Determine whether the samples are independent or dependent.

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer: Option(D) is the correct option

Explanation:

Natural pairings defines coupling of data sets or sample is possible to take place in a particular condition naturally.These samples depend on each other for matching.

According to the question ,cholesterol level of 90 men is being assessed  prior and after treatment takes place.Thus,same 90 men are going through drug testing in natural pair form and showing sample dependency before and afterwards of treatment.Thus, further analysis is based upon natural paired data.

Other options are incorrect because sample in the question are not independent due to the link between them and they do persist natural pairing with each other.Thus, the correct option is option(D).

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This hyperbola is centered at theorigin. Find its equation.Foci: (-2,0) and (2,0)Vertices: (-1,0) and (1,0)
beks73 [17]

SOLUTION

From the question, the center of the hyperbola is

\begin{gathered} (h,k),\text{ which is } \\ (0,0) \end{gathered}

a is the distance between the center to vertex, which is -1 or 1, and

c is the distance between the center to foci, which is -2 or 2.

b is given as

\begin{gathered} b^2=c^2-a^2 \\ b^2=2^2-1^2 \\ b=\sqrt[]{3} \end{gathered}

But equation of a hyperbola is given as

\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2}=1

Substituting the values of a, b, h and k, we have

\begin{gathered} \frac{(x-0)^2}{1^2}-\frac{(y-0)^2}{\sqrt[]{3}^2}=1 \\ \frac{x^2}{1}-\frac{y^2}{3}=1 \end{gathered}

Hence the answer is

\frac{x^2}{1}-\frac{y^2}{3}=1

5 0
1 year ago
There are 7 red candies in a pack, 9 blue candies in a pack, and 12 pink candies in a pack. If your wonderful math teacher wants
pentagon [3]
Given:
7 red candies
9 blue candies
12 pink candies

Condition:
Number of bags that has equal number of candies.

We can do 7 bags with 1 colored candy each. There will be an excess of 2 blue candies and 5 pink candies.

We can do 4 bags with 1 red candy, 2 blue candies, 3 pink candies. There will be an excess of 3 red candies and 1 blue candy.

We can do 3 bags with 2 red candies, 3 blue candies, 4 pink candies. There will be an excess of 1 red candy.
5 0
3 years ago
A number is between 50 and 55. It has prime factors of 2, and 9. What is the number?
mihalych1998 [28]

Answer:

The answer is 54.

Step-by-step explanation:

54 divided by 2 will give you 27.

54 divided by 9 will give you 6.

3 0
3 years ago
prem gave 1/3 of his property for charity of the rest he gave 2/3 to his wife and rest divided equally between his son and daugh
Anna11 [10]

Given parameters:

Fraction given to charity = \frac{1}{3}

Fraction given to wife = \frac{2}{3}

Unknown:

Fraction given to son and daughter =?

Solution:

Let the total property  = x

    Fraction given to charity  = \frac{1}{3} x

    Fraction given to wife  = \frac{2}{3} x

The remaining was given to son and daughter = F

    So;

     Total property  = fraction given to charity + fraction given to wife + fraction given to son and daughter

         x  = \frac{1}{3} x + \frac{2}{3} x + F

            F = x - (\frac{1}{3} x + \frac{2}{3} x)

            F = 0

The son and daughter will not inherit anything

8 0
3 years ago
Estimate how many times larger 4 x 10^15 is than 19 x 10^12.
chubhunter [2.5K]
Whats the answer

i am working on the same test right now

4 0
3 years ago
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