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3 years ago

6

What type of sampling is this:

1 answer:

PIT_PIT [208]3 years ago

7 0

This kind of sampling is called the Cluster sampling. The cluster sampling method is done by dividing the population by groups called clusters. There will be an equal number of samples drawn from each cluster using simple random sampling. In here, the population are the students which are divided into clusters - by year level. 15 students will be selected from each cluster.

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A farmer is tracking the amount of corn his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 50 models

polet [3.4K]

Answer:

The crop yield increased by 9 pounds per acre from year 1 to year 10.

Step-by-step explanation:

To solve this we are using the average rate of change formula: $Av=\frac{f(x_2)-f(x_1)}{x_2-x_1}$ , where:

$x_2$ is the second point in the function

$x_1$ is the first point in the function

$f(x_2)$ is the function evaluated at the second point

$f(x_1)$ is the function evaluated at the first point

We know that the first point is 1 year and the second point is 10 years, so $x_1=1$ and $x_2=10$ . Replacing values:

$Av=\frac{-(10)^2+20(10)+50-[-(1)^2+20(1)+50]}{10-1}$

$Av=\frac{-100+200+50-[-1+20+50]}{9}$

$Av=\frac{150-[69]}{9}$

$Av=\frac{150-69}{9}$

$Av=\frac{81}{9}$

$Av=9$

Since $f(x)$ represents the number of pounds per acre and $x$ the number of years, we can conclude that the crop yield increased by 9 pounds per acre from year 1 to year 10.

6 0

4 years ago

PLEASE HELP SERIOUSLYI WILL GIVE BRAINLEST AND 100 POINTS JUST ANSWER AND IT HAS TO BE RIGHT OR ELSE...

fredd [130]

Answer:

C. 51.56 million

Step-by-step explanation:

Initial number of bacteria = 3.3 million
Growth rate = 2.5 times per 10 minutes
Time = 30 minutes = 3*10 minutes

<u>Number of bacteria after 30 minutes:</u>

3.3*2.5³ = 51.5625

Correct choice is C

5 0

3 years ago

Read 2 more answers

in a square garden plot (with an area of 400 sq ft)deer fencing priced at $1.50 per foot is to be installed around the plot. if

mina [271]

We have a square garden of 400 square foot.

The area of a square is:

$A=x^2$

where x: side length.

In this case:

$\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}$

The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

$P=4x=4\cdot20=80\text{ ft}$

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

$C=1.50\cdot(1+0.07)=1.50\cdot1.07=1.605\text{ \$/ft}$

The fencing will be installed in all the perimeter (80 ft).

We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

$F=C\cdot P=1.605\frac{\text{\$}}{\text{ft}}\cdot80\text{ ft}=\$128.40$

Answer: the fencing will cost a total of $128.40

8 0

1 year ago

Virty [35]

Answer:

1/9 is probably most likely the correct answer

3 0

3 years ago

The Megasoft company gives each of its employees the title of programmer (P) or project manager (M). In any given year 70% of pr

Ne4ueva [31]

Answer:

it will take a programmer about 16.67 times to work before they are fired

Step-by-step explanation:

From the information given;

The transistion matrix for this study can be computed as:

P M X

P 0.7 0.2 0.1

M 0 0.95 0.05

X 0 0 1

where;

The probability that the programmer remains a programmer = $(P *P)$

The probability that the programmer turns out to be a manager = $(P*M)$

The probability that the programmer is being fired = $(P*X)$

Thus, the required number of years prior to the moment being fired for an employee y(P), for programmer and y(M) for manager is represented by ;

$y(P)=1+0.7y(P)+0.2y(M)$

$y(M)=1+ 0.95y(M).$

$0.05y(M)=1$

y(M) = $\dfrac{1}{0.05}$

y(M) =20

y(P)=1+0.7y(P)+0.2y(M)

y(P) - 0.7y(P) = 1 + 0.2y(M)

0.3y(P) = 1 + 0.2(20)=1+4

0.3y(P) = 1 + 4

0.3y(P) = 5

$y(P)=\dfrac{5}{0.3}$

$y(P)=16.67$

Therefore, it will take a programmer about 16.67 times to work before they are fired

8 0

3 years ago