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jeyben [28]
3 years ago
14

The daily absentee rate for the entire 7th grade class is 7.5%. If 9 students were absent Thursday, how many students are in the

7th grade class? *
Mathematics
2 answers:
anygoal [31]3 years ago
8 0

Step 1: Assign variable for the unknown that we need to find.

Let x be the number of students in 7th grade.

Step 2: Using the given statement we need to set up an equation.

7.5% of number of students in 7th grade are absent. 9 students are absent.

7.5\% \; of \;  x = 9\\\\\frac{7.5}{100} \ttimes x=9\\\\0.075x=9\\Divide \; by \; 0.075\; on\; both \; sides\\\\ \frac{0.075x}{0.075}= \frac{9}{0.075}   \\Simplify \; the \; fraction \; both \; sides\\\\ x=120

Conclusion:

There are<em><u> 120 students</u></em> in 7th Grade

Stels [109]3 years ago
4 0
There are 120 students because

100/7.5 = 13.333333

and 9 x 13.333333 = 120
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According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next j
Ahat [919]

Complete Question

According to the Bureau of Labor Statistics, citizens remain unemployed for an average of 15.9 weeks before finding their next job (June, 2008). Suppose you want to show that Louisiana has been effective in getting their unemployed back to work sooner. You take a random sample of 50 citizens who were unemployed six months earlier and ask them to report the duration. You find that the average time spent unemployed was 13.4 weeks with a sample standard deviation of the time unemployed is 6.7 weeks.

1 Which of the following statements is the correct alternative hypothesis?

2 The test statistic for testing the hypothesis is

a. -2.64

b. -2.32

c. -2.11

d. -1.28

e. none of these are correct

Answer:

1  

 The  alternative hypothesis  H_a  :  \mu < 15.9

2

The  test statistics z =  -2.64  

Step-by-step explanation:

From the question we are told that

     The population  mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

     The  sample size is  n =  50

     The  sample standard deviation is  6.7 weeks.

      The  sample mean value for time  citizens remain unemployed is  \mu  =  15.9 \  weeks

       

     The  null hypothesis is  H_o  :  \mu \ge 15.9

      The  alternative hypothesis  H_a  :  \mu < 15.9

Generally test statistics is mathematically represented as

       z =  \frac{ \= x  - \mu }{ \frac{s}{\sqrt{n} } }  

=>    z =  \frac{13.4 - 15.9}{\frac{6.7}{\sqrt{50}}}

=>     z =  -2.64  

   

7 0
3 years ago
Can you please help me with this question
Nana76 [90]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
Find the percent increase or decrease for each of the following values (Indicate whether each is an increase or a decrease). y t
ehidna [41]

Answer:

y to 0.78y is a decrease

Step-by-step explanation:

y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.

5 0
2 years ago
Paige mows 1/6 acre in 1/4 hour. How many acres can she mow per hour
Tema [17]
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cross multiply because this is a proportion
(1/4)(x) = (1/6)(1)
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x = 1/6 * 4/1
x = 4/6 which reduces to 2/3....so she can mow 2/3 of an acre in 1 hr <=
6 0
3 years ago
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