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12345 [234]
3 years ago
14

24 students will be divided into 4 equal size terms. Each stundent will count off, beginning with the number 1 as the first team

. If nate is the eleventh student to count off, to which team number will he be addigned?
Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

Nate is in Group 2.

Step-by-step explanation:

Total number of students is 24.

These 24 students are divided equally among 4 groups.

Compute the number of students in each group:

Number of students in each group =\frac{24}{4}=6

Thus, there will be 6 groups.

Now the students are numbered with the first student in the first group numbered as 1.

The groups will be:

Group 1: 1, 2, 3, 4, 5, 6

Group 2: 7, 8, 9, 10, 11, 12

Group 3: 13, 14, 15, 16, 17, 18

Group 4: 19, 20, 21, 22, 23, 24

It is provided that Nate is the 11th student.

Then Nate is in group 2.

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A rate of 4 centimeters per second is equal to how many meters per hour?
vampirchik [111]
So, let's start with the basics.
One meter is 100 centimeters. Seeing that we have 60 seconds in a minute, and 60 minutes in an hour. The formula would look like this.
(60*60)4
3600*4 = 14400 centimeters
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4 0
3 years ago
The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shri
damaskus [11]

Answer:

P(|\bar{x}-40| > 0.6)=0.5404

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 40 dollars

Standard Deviation, σ = 7 dollars

Sample size,n = 51

We are given that the distribution of cost of shrimp is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{7}{\sqrt{51}} = 0.9801

P(sample mean would differ by true mean by more than 0.6)

P(|\bar{x}-40| > 0.6)\\\Rightarrow = 1-P(39.4

P(39.4 \leq x \leq 40.6) \\\\= P(\displaystyle\frac{39.4 - 40}{0.9801} \leq z \leq \displaystyle\frac{40.6-40}{0.9801})\\\\ = P(-0.6121 \leq z \leq 0.6121)\\= P(z \leq 0.6121) - P(z < -0.6121)\\= 0.7298 - 0.2702 =0.4596

P(|\bar{x}|-40 > 0.6)\\= 1-0.4596=0.5404

0.5404 is the required probability.

6 0
3 years ago
The combined area of two squares is 45 square centimeters. Each side of one square is twice as long as a side of the other squar
vladimir2022 [97]
Let the side of  one square be x.    Area = x*x = x²

Then the side of other square  would be 2x ,   Area = 2x*2x = 4x²

Combined area = x² + 4x²  = 5x²

This combined area = 45 cm²

Therefore  5x²  = 45   Divide both sides by 5
                  x²  =  45/5
                  x²  = 9        Take square root of both sides
                  x   =  √9
                  x  = 3

Length of larger square is 2x  = 2*3 = 6 cm
Length of larger square = 6cm
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PLEASE HELP ASAP!!!!!! Suppose a triangle has sides 1, 1, and 1. Which of the following must be true? A. The triangle in questio
FromTheMoon [43]

Answer:

B.

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