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ki77a [65]
3 years ago
14

A population has groups that have a small amount of variation within them, but large variation among or between the groups thems

elves.
The proper sampling technique is:

A. simple random.
B. stratified.
C. cluster.
D. judgment.
Mathematics
1 answer:
Sauron [17]3 years ago
6 0

Answer:

B. stratified.

Step-by-step explanation:

If a population is composed by identifiable groups or strata, with large variations between groups, the stratified sampling should be applied in order to comprehend and represent all of the different groups in the sampling process.

Therefore, the answer is  alternative B. stratified.

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Solve the system of equations:<br> y=2x<br> y=x²-8
igomit [66]
Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0

Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2

Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8

Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4

There are two solutions
(4, 8) and (-2, -4)
6 0
2 years ago
Rewrite the product (x-3)^2 in standard form. Show your work
arsen [322]

Answer:

x² - 6x + 9

Step-by-step explanation:

(x - 3)²

= (x - 3)(x - 3)

Each term in the second factor is multiplied by each term in the first factor

= x(x - 3) - 3(x - 3) ← distribute both parenthesis

= x² - 3x - 3x + 9 ← collect like terms

= x² - 6x + 9 ← in standard form

8 0
3 years ago
One solution of x^2-25=0 is 5 what is the other solution
zepelin [54]

Add 25 to both sides:


x^2 = 25


Square root both sides.


When you square root a perfect square, you will get a plus/minus result:


\sqrt{25} = \pm 5


x = \pm 5

\boxed{x = -5} \land \boxed{x = 5}


The other solution to this answer is x = -5.

5 0
3 years ago
-3(x - 1) + 8(x - 3) = 6x + 7 - 5x<br> Please helppp
Levart [38]

Answer:

x=7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the ampli
GarryVolchara [31]

Answer:

<h2>1</h2>

Step-by-step explanation:

       Magnitude M of an earthquake is defined as M=log\text{ }\frac{I}{S}. Here I is the Intensity of the earthquake and  S is the intensity of standard earthquake.

       We have an earthquake that is 10 times more intense than a standard earthquake. Let us denote the intensity of the earthquake as I.

       10 times more intense than standard earthquake ⇒ I=10S

   Magnitude of the earthquake = M\text{ = }log\text{ }\dfrac{I}{S}\text{ = }log\text{ }\dfrac{10S}{S}\text{ = }log\text{ }10\text{ = }log_{10}\text{ }10\text{ = }1

∴ Magnitude of the earthquake is 1.

6 0
3 years ago
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