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IRISSAK [1]
3 years ago
13

Find the mean of the data set \{4.5, 5, 3.5, 2, 2.5\}{4.5,5,3.5,2,2.5}left brace, 4, point, 5, comma, 5, comma, 3, point, 5, com

ma, 2, comma, 2, point, 5, right brace
Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

The mean of the given data set is 5.5

Step-by-step explanation:

We are given the following data in the question:

4.5,5,3.5,2,2.5

Formula:

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Putting values, we get,

Mean =\displaystyle\frac{17.5}{5} = 3.5

Thus, the mean of the given data set is 5.5

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In how many ways can 10 people form couples of two?
maxonik [38]

Answer:

It should be 10 raised to power 2 which is a hundred.

4 0
3 years ago
The figures in the picture are similar to each other find the value of x
alisha [4.7K]

Answer:

x = 7

Step-by-step explanation:

Similar figures have sides that are proportional.  Setting up a proportion for the sides of the figures will help solve for 'x':

\frac{small}{large}=\frac{3}{6}=\frac{(x-3)}{(x+1)}

Cross-multiply:  3(x + 1) = 6(x - 3)

Distribute:  3x + 3 = 6x - 18

Combine like terms:  21 = 3x

Solve for 'x':  x = 7

6 0
3 years ago
Wt is the relationship between zeros and coefficients ?
GenaCL600 [577]

Answer:

Insert non-suspicious whistling

4 0
3 years ago
Assume that the radius r of a sphere is expanding at a rate of 40 cm/min. The volume of a sphere is V = 4 3 πr3 and its surface
Scrat [10]

Answer:

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

Step-by-step explanation:

The area of a sphere is given by the following formula:

A = 4\pi r^{2}

In which A is the area, measured in cm², and r is the radius, measured in cm.

Assume that the radius r of a sphere is expanding at a rate of 40 cm/min.

This means that \frac{dr}{dt} = 40

Determine the rate of change in surface area when r = 20 cm.

This is \frac{dA}{dt} when r = 20. So

A = 4\pi r^{2}

Applying implicit differentiation.

We have two variables, A and r, so:

\frac{dA}{dt} = 8r\pi \frac{dr}{dt}

\frac{dA}{dt} = 8*20\pi*40

\frac{dA}{dt} = 20106.19

The rate of change in surface area when r = 20 cm is 20,106.19 cm²/min.

6 0
3 years ago
Every autumn, the North American Monarch
Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

50t = 2500

50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0
3 years ago
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