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3 years ago

1. When selecting a sample for a survey, the way you choose your sample:

Mathematics

1 answer:

Agata [3.3K]3 years ago

3 0

Answer:

When selecting a sample for a survey, the way you choose your sample: A) may lead to biased results.

Step-by-step explanation:

The way you choose your sample matters a lot in order to help limit the bias in sampling data.

There are four types of random samples: simple, stratified, cluster, and systematic.

There are two types of non-random samples: voluntary response and convenience.

You always want to have a random sample in order to have accurate, non-biased results. Therefore, A) May lead to biased results is the best answer.

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What's greater 4/7 or 5/9 cause I have a stay at home quiz and I'm confused

nikklg [1K]

4/7. Isgreater because the smaller the fraction the more its worth

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4 years ago

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One pound of grout is enough to grout a tiled area that is 110 sq. Ft. Alyssa's kitchen counter is made up of two rectangular se

Ratling [72]

Answer:

$(10.3(2.5)+3.1(2))\div 110$

Step-by-step explanation:

$A_1$ = Area of 1st rectangle = $(10.3\times 2.5)\ \text{ft}^2$

$A_2$ = Area of 2nd rectangle = $(3.1\times 2)\ \text{ft}^2$

$1\ \text{pound of grout}=110\ \text{ft}^2$

$\Rightarrow 1\ \text{ft}^2=\dfrac{1}{110}\ \text{pound of grout}$

The number of pounds required for the counter top is

$\text{Total area}\times \text{The amount of grout used in 1 ft}^2$

$=A_1+A_2\times \dfrac{1}{110}=(10.3(2.5)+3.1(2))\times \dfrac{1}{110}\\ =(10.3(2.5)+3.1(2))\div 110$

The required expression is $(10.3(2.5)+3.1(2))\div 110$ .

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4 years ago

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Suppose that a sample is taken from a population whose mean value is 76.

mina [271]

Answer:

The sample mean will approach 76

Step-by-step explanation:

Refer to Law of large numbers (LLN) and the central limit theorem (CLT)

For random sample, with sample size n, in population with expected value μ, the sample mean converge almost surely to the expected value μ as n -> ∞

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3 years ago

Determine the domain of the following graph

erica [24]

Answer:

Domain: -3 ≤ x ≤ 9

Step-by-step explanation:

The domain of the graph is the set of all possible x-values.

The set of all possible values as represented on the graph above runs from -3 to 9.

This, domain of the graph is -3 ≤ x ≤ 9

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3 years ago

1:Under what condition will the line px+py+r=0 mat be a normal to the circke x²+y²+2gx+2fy+c=0

ahrayia [7]

Answer:

The normal overlaps with the diameter, so it passes through the center.

Let's find the center of the circle:

x² + y² + 2gx + 2fy + c = 0
(x + g)² + (y + f)² = c + g² + f²

The center is:

(-g, -f)

Since the line passes through (-g, -f) the equation of the line becomes:

p(-g) + p(-f) + r = 0
r = p(g + f)

This is the required condition

Rewrite equations and find centers and radius of both circles.

Circle 1

x² + y² + 2ax + c² = 0
(x + a)² + y² = a² - c²
The center is (-a, 0) and radius is √(a² - c²)

Circle 2

x² + y² + 2by + c² = 0
x² + (y + b)² = b² - c²
The center is (0, -b) and radius is √(b² - c²)

The distance between two centers is same as sum of the radius of them:

d = √(a² + b²)

Sum of radiuses:

√(a² - c²) + √(b² - c²)

Since they are same we have:

√(a² + b²) = √(a² - c²) + √(b² - c²)

Square both sides:

a² + b² = a² - c² + b² - c² + 2√(a² - c²)(b² - c²)
2c² = 2√(a² - c²)(b² - c²)

Square both sides:

c⁴ = (a² - c²)(b² - c²)
c⁴ = a²b² - a²c² - b²c² + c⁴
a²c² + b²c² = a²b²

Divide both sides by a²b²c²:

1/a² + 1/b² = 1/c²

Proved

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4 years ago

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