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kakasveta [241]
3 years ago
8

You are a researcher studying the lifespan of a certain species of bacteria. From a previous study, it was found that the standa

rd deviation was 5.2 hours. You would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.65 hours at a 99% level of confidence. What sample size should you gather to achieve a 0.65 hour margin of error? Round your answer up to the nearest whole number.
Mathematics
1 answer:
defon3 years ago
6 0

Answer: 425

Step-by-step explanation:

As considering the given description, we have

Population standard deviation: \sigma=5.2

Margin of error : E = 0.65

Critical value for 99% confidence interval : z_{\alpha/2}=2.576

Formula to find the sample size : n=(\dfrac{z_{\alpha/2}\cdot \sigma}{E})^2

i.e. n=(\dfrac{(2.576)\cdot (5.2)}{0.65})^2

=(20.608)^2=424.689664\approx425

Hence, the required minimum sample size =425

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Is a relation always a function? Is a function always a relation? Explain.
katen-ka-za [31]

A function is always a relation but relation is not always a function

<u>Solution:</u>

Given that, we have to explain Is a relation always a function and is a function always a relation

Note that both functions and relations are defined as sets of lists.  

In fact, every function is a relation. However, not every relation is a function.  A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.

That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. Let me give you a relation between them that is not a function;

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c

Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

So, we can say that function is a type of relation.

Which means whatever a function occurs, it will be a relation from one set to other.

But when a relation occurs it may be a function but need not be always a function.

Hence, a function is always a relation but relation is not always a function.

8 0
3 years ago
PLEASE HELP ME!!!!!!!! I CANT GET IT! PLEASE HELP QUICKLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
emmainna [20.7K]

You answer would be 27, if I did my maths correct.

You get 27 by doing:

9*4=36

36-9=27

Correct me if I am wrong thank you!

5 0
2 years ago
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Find the surface area of the pyramid shown to the nearest whole number.<br> 6ft 5ft 5ft
Tom [10]

Answer:75,

Step-by-step explanation:

1/2 bh= A for one T 5*5=25 25*6= 150

150/2=75

OR

5*5/2=12.5

12.5*6=75

4 0
2 years ago
10.) Part A: What is the area, in square feet, of the kitchen?
just olya [345]

The computation shows that the area of the kitchen that's in the home in square feet is 50ft².

<h3>How to calculate the area?</h3>

It should be noted that an area of a rectangular space is calculated by multiplying the length by the width.

In this case, the area of the kitchen will be:

= 5ft × 10ft

= 50ft²

Learn more about area on:

brainly.com/question/25292087

4 0
2 years ago
The area of a square can be found using the equation A=s^2, where A is the area and s is the measure of one side of the square.
MaRussiya [10]
A = 81 square in.

s = sqrt(A)

s = sqrt(81)

s = 9 in.
8 0
2 years ago
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