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3 years ago

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?

Mathematics

1 answer:

ale4655 [162]3 years ago

8 0

2 to the power of 1 or just 2, add the 2 and the 3, and subtract the 4

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Consider the following sets of sample data: A: $36,700, $30,300, $22,800, $27,700, $37,700, $39,800, $27,000, $30,100, $33,900,

maksim [4K]

Answer:

16.6% ; 3.2%

Step-by-step explanation:

Given the data :

Data A:

$36,700, $30,300, $22,800, $27,700, $37,700, $39,800, $27,000, $30,100, $33,900, $24,900, $27,500, $37,600, $32,700, $34,200

Data B: 21,253, 21,065, 20,747, 21,905, 20,546, 21,580, 22,292, 20,072, 20,518, 20,426, 20,839

The Coefficient of variation (CV) = (Sample standard deviation / Sample mean)

Sample mean (m) ;

Σx / n

n = sample size

Sample standard deviation (S) :

√[(x - m)² / (n-1)]

To save computation time ;

The sample mean and sample standard deviation can be obtained using a calculator :

For Data A:

Sample mean (m) = 31635.7143

Sample Standard deviation (s) = 5256.14763

Hence, Coefficient of variation :

5256.14763 / 31635.7143

= 0.166

= 0.166 * 100% = 16.6%

For Data B:

Sample mean (m) = 21022.0909

Sample Standard deviation (s) = 678.718271

678.718271 / 21022.0909

= 0.032

= 0.032 * 100% = 3.2%

5 0

3 years ago

Find the value of x then classify the triangle by its angles

Katena32 [7]

90 + 50 = 140
180 - 140 = 40

40 degrees is the answer
This triangle is a right angle triangle.

8 0

3 years ago

Read 2 more answers

Pleaseee answer I realllyyy neeedddd helpppll

Gnom [1K]

Answer:

x is the independent variable

y is the dependant variable

-3 is the rate of change (otherwise known as gradient or slope)

-7 is the initial value

Step-by-step explanation:

The dependant variable is the variable which is determined by the value of the independent variable;

So, if we say x = 1, then the value of y is as follows, y = -3(1)-7 = -10;

The independent variable is (practically) always the x-values and the dependant variable is (practically) always the y-values.

Conventionally, the independent variable, on a graph, is on the x-axis and the dependant variable is on the y-axis.

The rate of change/gradient, in the case of line equations, is simply the coefficient of x, which is just the number that appears before "x" in the equation, i.e. -3.

The initial value is found simply by setting x = 0, and calculating the value of y;

This will always be the number in the equation that is not the coefficient of x, i.e. the number added or subtracted in the equation, -7 in this case.

5 0

3 years ago

Which expression is equivalent to 9(v+5)?

4vir4ik [10]

Answer: 9v+45

Step-by-step explanation:

Distribute

9(v+5) = 9v+45

7 0

4 years ago

The area of the rectangular faces of the box are shown . What is the volume of the box

Gnoma [55]

Label the 3 distinct sides of the box. I arbitrarily chose the letters a, b and c.
Use the info about areas as follows:

ab=54 in^2
ac=90 in^2
bc=60 in^2

Here you have 3 equations in 3 unknowns (a, b and c), which is enough info to use to determine a, b and c. Then the volume of the box is a*b*c.

Example: bc = 90, but c = 60/b. You could subst. 60/b for c in the 2nd and 3rd equation, which will eliminate c completely and leave you with 2 equations in 2 unknowns.

Continuing this procedure, I determined that a=9, b=6 and c=10. Thus, the volume of the box is V = 9*6*10 = 540 cubic inches (answer)

3 0

3 years ago