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ValentinkaMS [17]
3 years ago
7

In addition to prizes for first, second, and third place, the organizers of a race have a prize that they want each participant

to have an equal chance of winning. Select the description of a fair method of choosing a winner for this prize.
A. The tallest participant will win the prize.
B. If the participants in the race each have a number, the organizers could select a number by putting slips of paper with each number into a box and randomly choosing one.
C. The participant in last place will win the prize.
D. Each participant gets a number of slips of paper put into a box based on their finishing place. One participant is then randomly chosen from the box.
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0
If the organizers of a race have a prize that they want each participant to have an equal chance of winning, the description of a fair method of choosing a winner for this prize is "<span>If the participants in the race each have a number, the organizers could select a number by putting slips of paper with each number into a box and randomly choosing one".</span>
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If f(x)= 3x + 10x and g(x)=5x - 3 find (f+g)(x)
Illusion [34]

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18x-3

Step-by-step explanation:

f(x)= 3x + 10x

g(x)=5x - 3

f(x)+g(x) = 3x + 10x + 5x - 3

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3 years ago
A local citizen wants to fence a rectangular community gardenn. The length of the garden should be at least 110ft,and the distan
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The question is incorrect
the correct question is
A local citizen wants to fence a rectangular community garden. The length of the garden should be at least 110 ft,and the distance around should be no more than 380 ft. Write a system of inequality that model the possible dimensions of he garden. Graph the system to show all possible solutions

let
x---------------> t<span>he length of the garden
</span>y---------------> the wide of the garden

we know that
x>=110
2x+2y <=380---------------> x+y <= 190

Part A) <span>Write a system of inequality that model the possible dimensions of he garden
</span>
the answer part A) is
x>=110
x+y <= 190


Part B) <span>Graph the system to show all possible solutions

using a graph tool
see the attached figure
the solution is the triangle show in the figure

</span><span>the possible solutions of y (wide) would be between 0 and 80 ft
</span>the possible solutions of x (length) would be between 110 ft and 190 ft

5 0
3 years ago
A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari
guajiro [1.7K]

Answer:

a

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

b

F_{critical} = 1.8608

c

F = 2.9085

d

    The decision rule is  

Reject the null hypothesis

e

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

 The first sample size is  n_1 = 30

 The sample variance for elementary school is  s^2_1 = 8324

 The second sample size is  n_2 = 30

  The sample variance for the secondary school is  s^2_2 = 2862

   The significance level is  \alpha = 0.05

The null hypothesis is  H_o :  \sigma^2_1 = \sigma^2 _2

The alternative hypothesis is H_a :  \sigma_1 ^2 > \sigma^2_2

Generally from the F statistics table  the critical value of \alpha = 0.05 at first and  second degree of freedom df_1 = n_1 - 1 = 30 - 1 = 29 and  df_2 = n_2 - 1 = 30 - 1 = 29 is  

         F_{critical} = 1.8608

Generally the test statistics is mathematically represented as

       F = \frac{s_1^2 }{s_2^2}

=>   F = \frac{8324 }{2862}

=>   F = 2.9085

Generally from the value obtained we see that  F >  F_{critical } Hence

   The decision rule is  

Reject the null hypothesis

    The conclusion is  

  There is sufficient evidence to support the researchers claim

   

4 0
3 years ago
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