A school has 5000 students. There are 1500 freshman, 1500 sophomores, 1000 juniors, and 1000 seniors. At 8:00 AM, all students are in class; there are 200 classes that each have 25 students. The administration wants to give a survey asking the students about their favorite classes. They wish to poll 100 students. The entire student body is assigned a number, and then a random number generator is used to select 100 of those numbers at random. The students matching those numbers are given the survey. What sampling method was used?

Answers

Answer 1
Answer:

The random sampling method is used.

What is random sampling?

Random sampling is a statistical method of selecting a representative sample of individuals from a larger population in a way that ensures every member of the population has an equal chance of being chosen. In other words, each individual in the population has an equal probability of being selected for the sample, and the selection process is not biased towards any particular subgroup or characteristic of the population.

The sampling method used in this scenario is simple random sampling. This is because the survey is being given to a randomly selected group of students from the entire student body, where every student has an equal chance of being selected. The administration used a random number generator to select 100 numbers at random, which is a common method for achieving simple random sampling. This method is useful because it helps to eliminate bias in the selection process and ensures that the sample is representative of the entire population.

Hence, the random sampling method is used.

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I need help on this please.Ivanna is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 51 feet and its width is 32 feet. Suppose each can of wood stain covers 102 square feet. How many cans will she need to cover the court?

Answers

Answer: 16 cans

Step-by-step explanation:

51x32=1632sqft

1632/102=16 cans of wood stain

16 cans ,51x32=1632 square feet, divide that and it’s 16 cans

Find the equation of a line passing through the point (-4,1) and perpendicular to theline 3y = 12x - 9.

Answers

Answer:

A. y=-1/4x

Step-by-step explanation:

We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.

What is the value of sin(−θ) ?Let cos(−θ)=−3/5 and tanθ>0 .

A. -4/5
B. 4/3
C. -3/5
D. 4/5

Answers

Answer:

A

Step-by-step explanation:

The cosine of a right triangle is the adjacent over the hypotenuse. If the cosine is -3/5 then it must be a right triangle with sides 3, 4, & 5 since this is a Pythagorean triple. This means the sin will be -4/5. We know its negative because the tangent is positive so this is the 3rd quadrant where both Sine and Cosine are negative.


Lucio is buying candy. He buys 1.5 pounds of gummy bears which cost $1.88 per pound and 0.8 pounds of caramels which cost $2.75 per pound. What is the total cost of the candy?

Answers

Answer:

$5.02

Step-by-step explanation:

Answer:

5.02

Step-by-step explanation:

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401​

Answers

length is
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l

Let width be
w

Let perimeter be
P

First, we must construct an equation for these variables:
l
=
w
+
4

P
=
34

But, Perimeter of a rectangle
=
l
+
w
+
l
+
w

=
2
l
+
2
w

So:
34
=
2
l
+
2
w

But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w

34
=
2
w
+
8
+
2
w

34
=
4
w
+
8

Solve for
w
:
4
w
=
34

8

4
w
=
26

w
=
26
4

w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w

becomes:
34
=
2
l
+
2

6.5

34
=
2
l
+
13

Solve for
l
:
2
l
=
34

13

2
l
=
21

l
=
21
2

l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

Write the equation in standard form using integers y=3x+8

Answers

Answer:

3x − y = −8

Step-by-step explanation: