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1 year ago

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the u.s. census bureau needs to estimate the median income of males in the u.s., they collect incomes from 2500 males. state the

individual, variable, population, sample, parameter, and statistic.

1 answer:

Shkiper50 [21]1 year ago

4 0

Individual : a male in the United States

Variable : income

Population : All males in the United States

Sample : 2500 males of which the information is collected

Parameter : Median income of males in the U.S

Statistic : Median income of the 2500 males sampled

Any quality, amount, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable.
A sample is a subset of units chosen to represent all the individuals in a population. Because just a portion of the population was counted, it is only a partial enumeration. To estimate the characteristics of the total population of interest, data from the sampled units is used.
A statistic is a numerical representation of a sample, whereas a parameter is a numerical representation of the entire population.

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John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun

galina1969 [7]

Answer:

$x\geq3$

$12x+7y\leq63$

$y\geq0$

Step-by-step explanation:

If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;

We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;

$x\geq3$

Moreover,we are informed that;

The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;

12x + 7y

but John only has a budget of $63. This implies that he can spend $63 at most, thus;

$12x+7y\leq63$

Finally we can have our last inequality as;

$y\geq0$

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3 years ago

In Exercises 5-7, find all the exact t-values for which the given statement is true,

bearhunter [10]

Answer: See Below

<u>Step-by-step explanation:</u>

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians: t = 0π + 2πn

In degrees: t = 0° + 360n

******************************************************************************

$6)\quad sin (t) = \dfrac{1}{2}$

Where on the Unit Circle does $sin = \dfrac{1}{2}$

<em>Hint: sin is only positive in Quadrants I and II</em>

$\text{Answer: at}\ \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n$

In degrees: t = 30° + 360n and 150° + 360n

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$7)\quad tan (t) = -\sqrt3$

Where on the Unit Circle does $\dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)$

<em>Hint: sin and cos are only opposite signs in Quadrants II and IV</em>

$\text{Answer: at}\ \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{2\pi}{3} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{3} + 2\pi n$

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2 years ago

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9966 [12]

Answer:

6,6,4,4 Those are even numbers

Step-by-step explanation:

5 0

2 years ago

A coin is flipped 30 times. The coin comes up heads 17 times. What is the experimental probability of having heads come up?

Hitman42 [59]

57% or 17/30 for sure

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2 years ago

Read 2 more answers

What are the values of x in this equation?

NNADVOKAT [17]

Answer:

A. x = 0, x = -3, x = 2, and x = -2

Step-by-step explanation:

$x^{4} +12x=4x^{2} +3x^{3}$

by moving the terms on the left side to the right side

$x^{4} -3x^{3} -4x^{2} +12x = 0$

factor an $x^{3}$ from $x^{4} -3x^{3}$

and factor - 4 $x$ from $-4x^{2} +12x$

the equation becomes :

$x^{3} (x - 3 )-4x (x - 3)$ = 0

take $(x - 3)$ as a common factor the equation becomes :

$(x-3)(x^{3}-4x )$ = 0

thus

$x - 3 = 0$ ⇒ $x = 3$

and

$x^{3} - 4x = 0$ by factoring an x we get :

$x(x^{2}-4 ) =0$ ⇒ $x$ = 0 and $x^{2} - 4 = 0$

$x^{2} - 4 =0$ ⇒ $x = 2$ and $x = -2$

Thus

the values are :

x = 0, x = -3, x = 2, and x = -2

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3 years ago