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JulsSmile [24]
3 years ago
12

The following data points represent the number of children in each household on Maple Street. \qquad 0, 1, 2, 1, 20,1,2,1,20, co

mma, 1, comma, 2, comma, 1, comma, 2 Find the mean number of children.
Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

The mean number of the children is 1.2

<em></em>

Step-by-step explanation:

Given

Children: 0, 1, 2, 1, 2

Required

Determine the Mean number

The mean of a set is calculated as follows;

Mean = \frac{\sum x}{n}

Where x is the given set and n is the number of sets

In this case, n = 5 children

Hence;

Mean = \frac{0 + 1 + 2 + 1 + 2}{5}

Mean = \frac{6}{5}

Mean = 1.2

<em>Hence, the mean number of the children is 1.2</em>

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A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m high
Agata [3.3K]

Answer:

dy/dt = 1.02 m/s

Step-by-step explanation:

First of all, let the distance of the dock above the bow of the boat be represented by x.

Also, let the distance of the boat from the dock be represented by y.

Let z represent the length of the rope.

Now, we can use pythagoras theorem to find a relationship between x, y and z since they form a right angle triangle where the vertical part is the dock, the base represents the water and the hypotenuse represents the rope.

Thus;

x² + y² = z²

Using implicit differentiation, we have;

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

We are given that the dock is 1 meter above the bow. Thus, x = 1

Also, the height is not changing and so dx/dt = 0

We are told the dock is 5 feet away from the boat. Thus, y = 5

dy/dt is is the speed we are looking for which is the rate at which the boat is approaching the dock.

We are not given the value of z but we can find it by using pythagoras theorem since we know the dock is 1 meter above the bow and the boat is 5 m away.

Thus;

z = √(1² + 5²)

z = √26

We are told the rope is being pulled in at the rate of 1 m/s. Thus; dz/dt = 1

Plugging all relevant values into the differentiation equation above gives;

2(1)(0) + 2(5)(dy/dt) = 2(√26)(1)

10(dy/dt) = 2√26

Divide both sides by 10 to get:

dy/dt = (√26)/5

dy/dt = 1.02 m/s

5 0
3 years ago
Given the points A (-4,-2) and B (4, 10), find the
mafiozo [28]

Answer:

  P = (2, 7)

Step-by-step explanation:

You want to find coordinates of P on segment AB such that P is 3/4 is of the way from A to B.

<h3>Equation for P</h3>

For some fraction q of the distance from A to B, the point P that lies at that fraction of the distance is given by ...

  P = A +q(B -A) = (1 -q)A +qB

<h3>Application</h3>

For q = 3/4, the location of P is ...

  P = (1 -3/4)A + 3/4B = (A +3B)/4

Using the given point coordinates, we have ...

  P = ((-4, -2) +3(4, 10))/4 = (-4 +12, -2 +30)/4 = (8, 28)/4

  P = (2, 7)

8 0
1 year ago
I need help with 4 please
leonid [27]

Answer:

day 1 5 day 2 8 day 3 2.5 day 4 10 day 5 10 altogether is 35.5

Step-by-step explanation:

5+3=8

5/2=2.5

5*2=10

5*2=10

10+10+8+5+2.5=35.5

5 0
3 years ago
Taylor is two years younger than Bryce. The sum of tier ages is 28. How old is Taylor?
Tema [17]
16 is your answer have a great day
5 0
3 years ago
Read 2 more answers
Each floor of a hotel as r rooms. On 8 floors, there are a total of 256 rooms. Write an equation to represent this situation
Natalka [10]

Answer:

256/8 = r

Step-by-step explanation:

256 room between 8 floors so divide the number of rooms by each floor to work out r

256 divided by 8 equals r

3 0
3 years ago
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