Carlos wrote the number 52,700,000 in scientific notation. Which number did he write?

If f(x)= 1/3x and g(x)=3x, then what are g * f (x) and g*f(1/2)

MrMuchimi

The correct answer is: 3) " x ; 1/2" .
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Explanation:
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Question 1)

g [ f(x) ] = ? ;

→ Given: " f(x) = 1/3 x " ;

→ Given: " g(x) = 3x " ;
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g [ f(x) ] = g(1/3 x) = 3(1/3 x) = 1x = "x" .
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Question 2)

g [ f(1/2) ] = ? ;
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→ Given: " f(x) = 1/3 x " ;

→ f(1/2) = (1/3) * (1/2) = (1*1) / (3*2) = (1/6) ;

→ g [ f(x) ] =

g(1/6) = 3* (1/6) = (3/1) * (1/6) = (3*1) / (1*6) = 3/6 = (3÷3) / (6÷3) = " 1/2 " .
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3 0

3 years ago

Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th

KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

$IQR= Q_3 -Q_1$

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0

3 years ago

Part A: Which three-dimensional geometric shape best models this pancake? (1 point)

barxatty [35]

Answer:

Step-by-step explanation:

Part A: The pancake is a cylinder shape with a circular top and bottom and straight middle.

Part B: Rotating a circle will NOT make a cylinder. Instead rotating a rectangular around a vertical axis will. It is a rectangle of 1cm height and 7cm length rotating around an axis at its edge.**

**Thanks to Moderator wegnerkolmp2741o who pointed out that it has to be a rectangle of 1cm height and 7cm length rotating around an axis at its edge. My original option of 1cm height and 14cm length rotating around its center would cause an overlapping shape.

8 0

3 years ago

Suppose you have three consecutive integers.The greatest of the three integers is twice as great as the sum of the first two.Wha

vredina [299]

Answer:

0, 1, 2

Step-by-step explanation:

So, since there are three consecutive integers, you have the equations

x, x+1, x+2 where x is the smallest number.

The greatest of the three integers= x+2

Finish setting up your equation;

2(x+x+1)=x+2

Combine like terms;

2(2x+1)=x+2

Distribute;

4x+2=x+2

3x=0

x=0

x+1=1

x+2=2

Hope this helps:) Have a good day!

8 0

3 years ago

I can't seem to figure this out

antiseptic1488 [7]

Answer:

c. 4

Step-by-step explanation:

tan (30)/1 = x/7 *cross multiply*

x = 7 (tan(30))

x = 4.04

x = 4

6 0

3 years ago