Which of the following represents a random sample if the population being sampled is students participating in athletics at a local middle school?choosing ten students that also participate in a music class
choosing ten students from a box that contains the names of the entire group
choosing five students each from seventh and eighth grade
choosing five female students and five male students

Answers

Answer 1

Answer:

Answer:

Choosing ten students from a box that contains the names of the entire group

Step-by-step explanation:

If each and every unit has equal chance of being selected in a sample then it is called Random Sampling. Here choice of sample should be unbiased and independent.

Option (a) is incorrect because here selection of student is not independent as only those students are choosing who also participate in music class.

Option (b) is correct option as selection of students are independent and unbiased. Also here each student has equal chance of being selected in sample.

Option (c) can't be chosen as selection of student is done from particular cluster.

Option (d) is also incorrect as here we put condition of male and female students.

Answer 2

Answer: choosing ten students from a box that contains the names of the entire group.

This is the only one where everyone has an equal chance of being chosen.

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How many times does 4 go into 315

Answers

315 divided by 4 = 78.75

78.75 times (315 divided by 4)

294 miles every 14 gallons find the unit rate

Answers

Answer:

21miles

Step-by-step explanation:

If there are 24miles for every 14gallons,

294miles = 14gallons... 1)

To find the unit rate means finding the number of miles for just 1 gallon

xmiles = 1gallon ... (2)

Cross multiplying equation 1 and 2, we have!

294× 1 = 14x

x = 294/14

x = 21miles

The unit rate is 21miles

When you are asked o find the unit rate, you have to take note of the ratio the problem is given to you. In here, you have 294 miles every 14 gallons. All you need to do is to divide it. 294/14 = 21 miles per gallon.

About how many molecules of water are in a swimming pool that holds 200 m^3 of water ? Write your answer in scientific notation . Please , I need your help !

Answers

metric is very conveinient
1gram=1cm^3 of water
1m^3=1,000,000,000 grams

water is 18.015 grams per mole
(1,000,000 grams water)/(18.015 grams/mole) = 55509.3 moles

there are 6.02e23 molecules in 1 mole of water so
55509.3 moles * (6.0221E23) = 3.3428E27 molecules of water in 1m^3 of water
so we have200 of those
200 times 3.3428E27=6.6856E29 molecules

answer is 6.6856 times 10^29 mlecules

Identify the absolute extrema of the function and the x-values where they occur. f(x)=6x+(24/x^sqr)+3, x>0

Answers

$f(x)=6x+(24)/(x^2)+3\nf'(x)=6-(48)/(x^3)\n6-(48)/(x^3)=0\n6x^3-48=0\n6x^3=48\nx^3=8\nx=2\n$

For $x<2 \wedge x\not=0$ the derivative is negative.
For $x>2$ the derivative is positive.
Therefore at $x=2$ there's a minimum.

$f_(min)=6\cdot2+(24)/(2^2)+3=12+6+3=21$

The equation of a line is y=2/3x+5. What is an equation of the line that is perpendicular to the given line and that passes through the point (4,2)?

Answers

The gradient of this line is 2/3 so the gradient of the perpendicular line is -3/2 (the two perpendicular gradients must multiply to get -1).

Using the formula y - y1 = m (x - x1):

y-2=-1.5(x+4)

This can be rearranged to:

2y-4=-3x-6
2y+3x=-2

Identify the domain and range
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Answers

$D:x-1\geq0\n D:x\geq1\n\n$

$\hbox{ range of } \sqrt {x-1} \hbox{ is } \langle0,\infty)\n \hbox{ range of } -(3)/(4)\sqrt {x-1} \hbox{ is } \langle-(3)/(4)\cdot0,-(3)/(4)\cdot\infty)=(-\infty,0\rangle\n \hbox{ range of } -(3)/(4)\sqrt {x-1}+4 \hbox{ is } (-\infty+4,0+4\rangle=(-\infty,4\rangle\n$

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