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netineya [11]
3 years ago
10

Please help i added 39 points :) but i dont understand this so yeah

Mathematics
1 answer:
Alexxx [7]3 years ago
3 0

Answer:

  • 3 - 5 - 7 - 11 - 12

Step-by-step explanation:

<u>Given data:</u>

  • 3, 5, 5, 6, 6, 8, 9, 11, 11, 12

<u>The 5-number summary is:</u>

  • Q1 = minimum of data = 3
  • Q2 = median of lower half = 5
  • Q3 = median of data = (6 + 8)/2 = 7
  • Q4 = median of upper half = 11
  • Q5 = maximum of data = 12
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The average age of staff in the maths department is 40.
pashok25 [27]

Answer:

Cerian is 28 years old

Step-by-step explanation:

The given parameters are;

The average age of the staffs in the mathematics department = 40

The number of staffs in the department = 7

The average age of Jill, Nicky and Wendy = 41

The average age of Andy, Alan and Cathy = 43

From the given parameters, we have;

The average age of the staffs in the mathematics department = (The sum total of the ages of the members of the math department)/(The number of staffs in the department)

Therefore;

40 = (The sum total of the ages of the members of the math department)/ (7)

From which we have;

The sum total of the ages of the members of the math department = 40 × 7 = 280

Which gives;

Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age = 280 years

The average age of Jill, Nicky and Wendy = 41

Given that Jill, Nicky, and Wendy make up 3 of the 7 members of staffs, we have;

The average age of Jill, Nicky and Wendy = (The sum total of the ages of Jill, Nicky, and Wendy)/(The number of staff Jill, Nicky, and Wendt make)

Therefore;

The sum total of the ages of Jill, Nicky, and Wendy = 41 × 3 = 123

Which gives;

Jill's age + Nicky's age + Wendy's age = 123 years

Similarly, the sum total of the ages of Andy, Alan, and Cathy = 43 × 3 = 129

Which gives;

Andy's age + Alan's age + Cathy's age = 129 years

Therefore;

Cerian's age = (Jill's age + Nicky's age + Wendy's age + Cathy's age + Cerian's age + Alan's age + Andy's age) - (Jill's age + Nicky's age + Wendy's age) + (Andy's age + Alan's age + Cathy's age)

∴ Cerian's age = 280 years - 123 years - 129 years = 28 years

6 0
3 years ago
Find the value of (x + 1) in this equation.<br><br> 13(6x − 5) − x = 13 − 2(x + 1)
Mandarinka [93]

Answer: The value of x is 155/79.

Step-by-step explanation:

13(6x -5 )-x= 13 -2(x +1)

78x - 65- x = 13 -2x -2

77x -65 = 11-2x  

79x -65 =11

79x =76

x = 76/79    76/ 79 + 1/1  = 155/79

4 0
3 years ago
Helpppp for those who can read bahasa pleaseee
wlad13 [49]

Answer:

me

Step-by-step explanation:

7 0
3 years ago
What is the area of this figure? Select from the drop-down menu to correctly complete the statement. The area of the figure is c
melomori [17]

Answer:

The answer is 146

Step-by-step explanation:

5 0
3 years ago
Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best de
Nimfa-mama [501]
Let's go through the steps of factoring that Venita should take.

1.) Find the greatest common factor (GCF). We only have two terms, so that makes it pretty easy.
32 = 1, 2, 4, 8, 16, 32
8 = 1, 2, 4, 8
The greatest common factor of 32 and 8 is 8. We can also factor out a <em>b</em> since that term appears in each part of the original expression. The GCF and variable should go on the outside of the parentheses.
8b(       )

2.) Now let's figure out what should go in the middle of the parentheses. To do this, use the original expression and divide each term. This is written in the parentheses. 

32ab ÷ 8b = 4a
8b ÷ 8b = 1

This would then result in the factored expression 8b(4a - 1). You can always check this by using the distributive property. Distribute 8b out to both expressions:
8b x 4a = 32ab
8b x 1 = 8b
32ab - 8b is the expression she started with, so your factored expression works!

Now that we went through the steps to solve the factored expression, let's check her answer. The only difference between Venita's and ours is that she has 0 as the second term while we have a 1. It seems that she had subtracted the GCF from the second term instead of dividing.
6 0
3 years ago
Read 2 more answers
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