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MrRissso [65]
3 years ago
11

Identify the type of sampling (stratified, systematic, convenience, or cluster) that best describes each of the following cases:

(a) Splitting the FHSU student population into classes (freshmen, sophomore, etc.) and the selecting 50 students from each class to participate in a study. (b) Looking through the student directory, and choosing to email surveys to every 100th person. (c) Randomly selecting 10 on-campus courses, and then surveying all students in these 10 classes.
Mathematics
1 answer:
SVEN [57.7K]3 years ago
8 0

Answer:

(a) Stratified

(b) Systematic

(c) Cluster

Step-by-step explanation:

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What is the value of<br> 1: 7³<br> 2: 2⁶<br> 3: 4⁴
Veseljchak [2.6K]
1) 343
7 • 7 • 7 = 343

2) 64
2 • 2 • 2 • 2 • 2 • 2 = 64

3) 256
4 • 4 • 4 • 4 = 256
7 0
3 years ago
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In Exercise 4, find the surface area of the solid<br> formed by the net.
Fittoniya [83]

Answer:

3. 150.72 in²

4. 535.2cm²

Step-by-step Explanation:

3. The solid formed by the net given in problem 3 is the net of a cylinder.

The cylinder bases are the 2 circles, while the curved surface of the cylinder is the rectangle.

The surface area = Area of the 2 circles + area of the rectangle

Take π as 3.14

radius of circle = ½ of 4 = 2 in

Area of the 2 circles = 2(πr²) = 2*3.14*2²

Area of the 2 circles = 25.12 in²

Area of the rectangle = L*W

width is given as 10 in.

Length (L) = the circumference or perimeter of the circle = πd = 3.14*4 = 12.56 in

Area of rectangle = L*W = 12.56*10 = 125.6 in²

Surface area of net = Area of the 2 circles + area of the rectangle

= 25.12 + 125.6 = 150.72 in²

4. Surface area of the net (S.A) = 2(area of triangle) + 3(area of rectangle)

= 2(0.5*b*h) + 3(l*w)

Where,

b = 8 cm

h = \sqrt{8^2 - 4^2} = \sqrt{48} = 6.9 cm} (Pythagorean theorem)w = 8 cm[tex]S.A =  2(0.5*8*6.9) + 3(20*8)

S.A =  2(27.6) + 3(160)

S.A =  55.2 + 480

S.A = 535.2 cm^2

6 0
4 years ago
6 pie = x + 2y how do i solve this equation ?
harkovskaia [24]
28.27431 = x + 2
-2 -2
-----------------------
x = 26.27431 Answered

the pie is 3.14159 x 9 =28.27431
8 0
4 years ago
Solve the simultaneous equations<br> 2x + 5y = 16<br> - 2x + 3y = 8
anygoal [31]

Answer:

2x+y= -2, x + 2y = 2

x+y=3 , 2x-8y = 19

6x^2+3y^2=12 , x +y = 2

4 0
3 years ago
An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. The area of the trapezoid is
Mice21 [21]

Answer:

Option A is correct.      

Step-by-step explanation:

Given an isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14. we have to find the area of isosceles trapezoid.

An isosceles trapezoid has base angles of 45° and bases of lengths 8 and 14.

From the figure attached , we can see an isosceles trapezoid ABCD,

AB = 8cm and CD=14cm

So we have to find the value of AE which is the height of Trapezoid in order to find area.

In ΔAED

tan\angle 45 =\frac{AE}{ED}

⇒ AE=1\times 3

∴ AE = DE =3cm

\text{The area of the trapezoid=}\frac{h}{2}\times (a+b)

h=3cm, a=14cm, b=8cm

Area=\frac{3}{2}\times(14+8)=\frac{3}{2}\times 22=33 units^2

hence, \text{The area of the trapezoid is }33 units^2

Option A is correct.

3 0
3 years ago
Read 2 more answers
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