Mean is the average number. To find mean, add all the numbers and divide by how many numbers there are.
There are 9 numbers. Divide by 9
Question 6 ⇒ C. 84.44
Median is the middle number when ordered from least to greatest. First order the numbers.
The 2 middle numbers are 10 and 11. Add them together and divide by 2
Question 7 ⇒ D. 10.5
Answer:
Step-by-step explanation:
Remark
- x is opposite the 90 degree angle. It is the hypotenuse.
- 13 makes up the 57 degree angle. It is the side adjacent.
- The adjacent side and the hypotenuse define the cos(theta).
Formula
cos(theta) = adjacent side / hypotenuse
Givens
Theta = 57 degrees
Hypotenuse = x
Side adjacent = 13
Solution
- Cos(57) = 13 / x Multiply both sides by x
- x*cos(57) = 13 Divide by cos(theta)
- x = 13/cos(57)
- x = 13 / cos(57)
- cos(57) = 0.5446
- x = 13/ 0.5446
- x = 23.87
Answer:
Equation: 
Step-by-step explanation:
By definition, the perimeter of a figure can be calculated by adding the lenghts of its sides.
Knowing this, you can write the following equation:
<em> [Equation 1]</em>
According to the data given in the exercise, the perimeter in feet of the fighter is:
Therefore, you can substitute this values into<em> [Equation 1]:</em>
Finally, you must solve for "x" in order to find its value. This is:
The solutions of the system of equations are (0 , 13) , (3 , 34)
Step-by-step explanation:
To solve an system of equations, one of them linear and the other is quadratic do that
- Use the linear equation to find one variable in terms of the other variable
- Substitute this variable in the quadratic equation
- Solve the quadratic equation to find the values of the other variable
- Substitute the values of the other variable in the linear equation to find the first variable
The system of equation is:
y = x² + 4x + 13 ⇒ (1)
y = 7x + 13 ⇒ (2)
Substitute y in equation (1) by equation (2)
x² + 4x + 13 = 7x + 13
Subtract 13 from both sides
∴ x² + 4x = 7x
Subtract 7x from both sides
x² - 3x = 0
Take x as a common factor
x(x - 3) = 0
Equate each factor by 0
x = 0
x - 3 = 0
Add 3 to both sides
x = 3
The values of x are 0 and 3
Substitute the values of x in equation (2) to find y
When x = 0
y = 7(0) + 13
y = 0 + 13
y = 13
When x = 3
y = 7(3) + 13
y = 21 + 13
y = 34
The values of y are 13 and 34
The solutions of the system of equations are (0 , 13) , (3 , 34)
Learn more:
You can learn more about the system of equations in brainly.com/question/3739260
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Answer:
y = 4x + 2
Step-by-step explanation:
y = 4x + 2
