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Anton [14]
3 years ago
13

The mean age and median age of 6 people in a room is 40 years. a person whose age is 60 years leaves the room. question 1. if po

ssible, determine the mean age of the remaining 5 people in the room. if it is not possible to find the mean age of the remaining 5 people, write "not possible" (without the quotes) as your answer. 40 incorrect: your answer is incorrect.
Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
Mean = (total of contributors) / (number of contributors)

For the 6 people in the room, you have
   40 = (total of contributors) / 6
   (total of contributors) = 6*40 = 240

A 60-year-old left the room, decreasing the total of contributors by 60.
   (new total of contributors) = (total of contributors) - 60
   (new total of contributors) = 240 - 60 = 180

Then the new mean is
   (new mean) = (new total of contributors) / (new number of contributors)
   (new mean) = 180 / 6 = 36

The mean age of the remaining 5 people is 36.
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Leokris [45]

Answer:

12 in.

Step-by-step explanation:

The perimeter is calculated by adding all up the sides of a shape.  In this case, the shape is a square, considering that all the sides are the same measurements.  3+3+3+3 can be simplified to 3x4.  This gives you 12 in. as the perimeter.

8 0
3 years ago
Which expression is equivalent to the one in the picture?
Ne4ueva [31]

Answer:

d.

Step-by-step explanation:

To convert a root to a fraction in the exponent, remember this rule:

\sqrt[n]{a^{m}}=a^{\frac{m}{n}}

The index becomes the denominator in the fraction. (The index is the little number in front of the root, "n".) The original exponent remains in the numerator.

In this question, the index is 4.

The index is applied to every base in the equation under the root. The bases are 16, 'x' and 'y'.

\sqrt[4]{16x^{15}y^{17}} = (\sqrt[4]{16})(\sqrt[4]{x^{15}})(\sqrt[4]{y^{17}}) = (2)(x^{\frac{15}{4}}})(y^{\frac{17}{4}}) = 2x^{\frac{15}{4}}}y^{\frac{17}{4}}

To find the quad root of 16, input this into your calculator. Since 2⁴ = 16, \sqrt[4]{16} = 2.

For the "x" and "y" bases, use the rule for converting roots to exponent fractions. The index, 4, becomes the denominator in each fraction.

2x^{\frac{15}{4}}y^{\frac{17}{4}}

5 0
3 years ago
Hayden is a manager at a landscaping company. He has two workers to landscape an entire park, Cody and Kaitlyn. Cody can complet
belka [17]
Answer: 3.4 h

Explanation:

1) The basis to solve this kind of problems is that the speed of working together is equal to the sum of the individual speeds.

This is: speed of doing the project together = speed of Cody working alone + speed of Kaitlyin working alone.

2) Speed of Cody

Cody can complete the project in 8 hours => 1 project / 8 h

3) Speed of Kaitlyn

Kaitlyn can complete the project in 6 houres => 1 project / 6 h

4) Speed working together:

1 / 8 + 1 / 6  = [6 + 8] / (6*8  = 14 / 48 = 7 / 24

7/24 is the velocity or working together meaning that they can complete 7 projects in 24 hours.

Then, the time to complete the entire project is the inverse: 24 hours / 7 projects ≈ 3.4 hours / project.Meaning 3.4 hours to complete the project.
7 0
3 years ago
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Jlenok [28]
If $1 is 5%, 100% would be $1 times 100/5= $1 times 20 = $20
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Put this equation into slope intercept -2×+3y=9
siniylev [52]

y = \frac{2}{3} x + 3

The equation of a line in slope-intercept form is

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rearrange - 2x + 3y = 9 into this form

add 2x to both sides

3y = 2x + 9 ( divide all terms by 3 )

y = \frac{2}{3} x + 3 ← in slope-intercept form


6 0
3 years ago
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