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Alinara [238K]
4 years ago
7

A high school band director has 120 students in his marching band. The marching band plays at all football games, so the band mu

st travel by school bus to each away game. The band director knows that each school bus holds 60 students. Which of the following best describes a method of assigning the band students to the two school buses so that each band student has a fair chance of being selected for either school bus?
Mathematics
2 answers:
Klio2033 [76]4 years ago
6 0

Answer:

Randomly assign each student an unique number ranging from 1 to 120. Label colored balls with each number that is assigned to a student. Place all of the labeled balls into a bin, and randomly select 60 balls. The students with numbers found on the first 60 randomly selected balls will be assigned to the first school bus, and the remaining 60 students will be assigned to the second school bus.

Step-by-step explanation:

STatiana [176]4 years ago
3 0
Divide 120 by 2 or divide 120 by 60
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In March 2015, a Nielsen global online survey "found that consumers are increasingly willing to pay more for socially responsibl
Veseljchak [2.6K]

Answer:

For this case the parameter of interest is given by:

p who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

\hat p = 0.66

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

E(\hat p) = p

Step-by-step explanation:

For this case the parameter of interest is given by:

p who represent the true proportion of respondents said that they were willing to pay more for products and services from companies who are committed to positive social and environmental impact

For this case we have an estimation given for this parameter. The estimation comes from a sample of 30000 people selected in 60 countries and they got:

\hat p = 0.66

This value represent the best estimator for the true proportion since is an unbiased estimator of the real parameter:

E(\hat p) = p

For this case if we want to test if the population proportion is equal to an specified value we can use the one sample z test for a proportion:

Null hypothesis:p=p_0  

Alternative hypothesis:p \neq p_o  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

6 0
3 years ago
If the density of a 35.cm3 block of wood is .85 g./ml calculate the woods mass.
Reil [10]
So the equation you're going to be using is mass = density x volume 
So the volume of your block is 35cm^3, and your density is .85g/ml 

so your equation would be 

mass=.85g/ml x 35cm^3 

your final answer is 29.75g/cm^3

Hope this helps :) 
6 0
3 years ago
I need help with this
andre [41]

Answer:

  f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}

Step-by-step explanation:

Each vertical asymptote corresponds to a zero in the denominator. When the function does not change sign from one side of the asymptote to the other, the factor has even degree. The vertical asymptote at x=-4 corresponds to a denominator factor of (x+4). The one at x=2 corresponds to a denominator factor of (x-2)², because the function does not change sign there.

__

Each zero corresponds to a numerator factor that is zero at that point. Again, if the sign doesn't change either side of that zero, then the factor has even multiplicity. The zero at x=1 corresponds to a numerator factor of (x-1)².

__

Each "hole" in the function corresponds to numerator and denominator factors that are equal and both zero at that point. The hole at x=-3 corresponds to numerator and denominator factors of (x-3).

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Taken altogether, these factors give us the function ...

  \boxed{f(x)=\dfrac{(x+3)(x-1)^2}{(x+4)(x+3)(x-2)^2}}

8 0
3 years ago
12 pts? Harris and Annabelle are 200 feet apart, and they are standing on opposite sides of a tree. The angles of elevation from
Sergio [31]
If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
                                       tan 30° = h/x
                                       tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft. 
5 0
3 years ago
Solve each equation. <br> 2y=7(y−2)+4<br> y = <br> 4x=6−2(2−x) <br> x =
aliya0001 [1]

Answer:

y=2 and x=1

Step-by-step explanation:

2y=7y-14+4

2y-7y=-14+4

-5y=-10/-5

y=2

4x=6-4+2x

4x-2x=6-4

2x=2/2

x=1

5 0
3 years ago
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