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ruslelena [56]
3 years ago
12

A random sample is made of 256 middle managers concerning their annual incomes. The sample mean is computed to be $35,420. If th

e population standard deviation is $2,050. What is the standard error of the mean?
a. $128.125
b. $138.36
c. $2.050
d. $8.01
Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Answer: a. $128.125

Step-by-step explanation:

The standard error of the mean is given by :

SE=\dfrac{\sigma}{\sqrt{n}} , where \sigma = population standard deviation , n= sample size.

Given: \sigma=\$2,050

n= 256

Then, the standard error of the mean:-

SE=\dfrac{2050}{\sqrt{256}}\\\\=\dfrac{2050}{16}=\$128.125

Hence, option a. is correct.

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7 ∙ 1 – 4 ∙ 1/4. Please answer!!!
vazorg [7]

Answer: 3/4

Step-by-step explanation: Doing order of operations we first do 7x1=7, then 7-4=3, then finally do 4x1/4=3/4.

Hope this helps! :)

5 0
3 years ago
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The midpoints of a regular hexagon are connected to form a smaller hexagon. The small hexagon has perimeter 2sqrt3. What is the
Ahat [919]

Answer:

4

Step-by-step explanation:

x - length of side of larger hexagon

y - length of side of smaller hexagon

We know that,

x/y = \sqrt{3} /2

y = 2x/\sqrt{3}

Hence,

perimeter of             = (2/\sqrt{3}) * perimeter of smaller hexagon

larger hexagon

                                 = (2/\sqrt{3})*2\sqrt{3}  \\= 4

6 0
4 years ago
The table shows the year groups of some students who use the canteen. Mr Ford wants to survey 50 of these students stratified by
igor_vitrenko [27]

7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

Step-by-step explanation:

The given is,

                    Year                        Students

                       7                                 80

                       8                                 110

                       9                                 160

                    Total                              350

           Mr.Ford wants to survey 50 of these students stratified by year group.

Step:1

           Formula to find the ratio of number of grouped students to total students,

                           Ratio, r = \frac{Number of students grouped }{Total number of students}

                                         = \frac{50}{350}

                                         = 0.1428

Step:2

          Formula for Number of students surveyed from year wise,

          For year 7 students,

                                         = (Ratio) × (Students from year 7)

                                         = 0.1428 × 80

                                         = 11.424

                                        ≅ 11               (∵ For students we convert into whole number)

         For year 8 students,

                                         = (Ratio) × (Students from year 8 )

                                         = 0.1428 × 110

                                         = 15.708

                                        ≅ 16               (∵ For students we convert into whole number)

          For year 8 students,

                                         = (Ratio) × (Students from year 9 )

                                         = 0.1428 × 160

                                         = 22.8

                                        ≅ 23             (∵ For students we convert into whole number)

Step:3

          To find How many more year 9 students than year 8 students should be in the survey

                                        = ( Students from year 8 for group) -

                                                                     ( Students from year 8 for group)

                                        = 23 - 16

                                        = 7 students

Result:

          7 more year 9 students than year 8 students should be surveyed, If Mr.Ford wants to survey 50 of these students stratified by year group.

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Answer:23.41

Step-by-step explanation:

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