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zaharov [31]
3 years ago
13

A group of students attended a math club. Half the students are boys and 4/9 of the boys have brown eyes. What fraction of the g

roup are boys with brown eyes.
Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

2/9

Step-by-step explanation:

The question asks to calculate the number of boys in a group who has brown eyes given the fraction of the boys having the brown eyes.

To do this, we can take any arbitrary value for the total number of students in the math club. Let’s say this is 360 students.

Now, we are told that half of these number are boys. The total number of boys is thus 180 boys. Also, we are made to know that 4/9 of these boys have brown eyes. This means 4/9 of 180 boys have brown eyes. This is numerically equal to 4/9 * 180 = 80 boys.

Hence, the fraction of the math club with brown eyes is 80/360 = 2/9

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Answer:

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Step-by-step explanation:


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3 years ago
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Which is the slope of the line that passes through the points (4,2) and (6,7)
Anastasy [175]
The slope is 5/2. You can find the slope by using y2-y1/x2-x1. 7-2/6-4= 5/2.
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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

   

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2 years ago
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Answer:

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Step-by-step explanation:

Square Root - Finding a number that multiplies itself twice into the number within the square root

With this meaning, we need to find a number that multiplies itself into 625.

Finding calculations using exponents will help,

25^2 is equal to 625. Therefore \sqrt{25}

We are not finished, as there is another square root right after, empowering the parenthesis, so what number multiplies itself equals 25?

This would be 5, therefore \sqrt{(\sqrt{625}) } is equal to 5.

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2 years ago
A video has 42 thumbs down. What integer represents its score in points?
ioda

Answer:

Step-by-step explanation: it is negative 42 it is just the opposite cause the thumbs is down negative up positive

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