MATHEMATICS HIGH SCHOOL

A survey was administered to parents of high school students in a certain state to see if the parents thought the students’ academic needs were being met. To select the sample, the parents were divided into two groups— one group of parents who live in cities with populations of more than 100,000 and the other group of parents who live in cities with populations less than or equal to 100,000. A random sample of 100 parents from each group was taken. Which of the following statements about the sample of 200 parents is true? (A) It is a convenience sample because the sample of parents was easily obtained. (B) It is a stratified random sample because parents were randomly selected from each group. (C) It is a random cluster sample because parents were randomly selected from each group. (D) It is a random cluster sample because groups of high schools were randomly selected. (E) It is a systematic sample because the parents were systematically divided into two groups.

Answers

Answer 1

Answer:

Option C is correct

It is a stratified random sample because parents were randomly selected from each group.

Step-by-step explanation:

I'll talk about the different types of sampling.

1) Random Sampling

In random sampling, each parent would have an equal chance of being surveyed. If this particular scenario wanted to use random sampling, they would have used computer generated random numbers for the parents and surveyed them, not just pick random parents equally from two cities.

2) Systematic sampling is easier than random sampling. In systematic sampling, a particular number, n, is counted repeatedly and each of the nth parent is picked to be sampled.

3) Convenience Sampling

This is the worst sampling technique. It is also the easiest. In Convenience sampling, they just survey the first set of parents that they find.

4) Stratified Sampling

Stratified sampling divides the population into groups called strata. A sample is taken from each of these strata using either random, systematic, or convenience sampling.

So, for this question, random sampling is used to pick a sample from the two strata (from the 2 cities). This is why the sampling used in this question is a stratified random sampling technique.

5) Cluster sampling

Cluster Sampling divides the population into groups which are called clusters or blocks (the different cities). The clusters are selected randomly, and every element in the selected clusters is surveyed (each parent in the selected cities, is surveyed!).

Hope this Helps!!!

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Amy ran 3/4 mile write the distance amy ran as a decimal

Answers

we just need to perform the indicated division:
3/4 = 0.75
that is the solution as decimal, they are equivalent

Solutions

To convert fraction to decimal divide the numerator by denominator.

3 ÷ 4 = 0.75

0.75 is decimal

A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

The gazebo in the park is an octagon each side is 4 feet long what is the perimeter of the gazebo

Answers

Octagon is an eight sided polygon.
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 = 32
or...
4 * 8 = 32
The diameter of the gazebo in the park is 32 feet long.

The long division below shows the first term of the quotient. Which polynomial should be subtracted from the dividend first?x^2
-----------------------------------
x + 2 ) x^3 + 3x^2 + x

A. x + 3
B. x^2 + x + 2
C. x^3 + 2x^2
D. x2 + 3x

Answers

Answer:

Option C. x³ + 2x²

Step-by-step explanation:

In this long division x + 2 ) x³ + 3x² + x

when we divide the polynomial by (x + 2) then first quotient will be x². By the multiplication of (x + 2) and x² we get a polynomial which will be subtracted from the dividend.

(x + 2)×(x²) = x³ + 2x²

This is the polynomial to be subtracted.

Therefore option C is the correct answer.

Option C: x^3 + 2x^2

This is the result of the multiplication of the first term of the quotient (x^2) times the divisor (x + 2).

Given that the measure of ∠x is 60°, and the measure of ∠y is 90°, find the measure of ∠z.

Answers

The measure of ∠x is 60°, and the measure of ∠y is 90°, the measure of ∠z is 30°

What is an angle ?

An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.

Interior angles:- The inner angle made by the intersection of two polygonal sides.

Exterior angles:- The outer angle made by the intersection of two polygonal sides.

Given that,

In right angle triangle, Δxyz

Angle ∠x is 60°

Angle ∠y is 90°

It is already known that sum of all the interior angles of any triangle is equal to 180°

So,

∠x + ∠y + ∠z = 180°

60° + 90° + ∠z = 180°

∠z = 30°

Therefore, the third angle is 30°