Unir 4 6B Math quiz. I'm on the verge of failing and really need some help. Here are the questions on the test. 16 questions js btw.
1. Dylan is going fishing. The lengths, in centimeters, of nine earthworms are shown below. He just caught a tenth earthworm that is 9.5 centimeters long. What is the median of the data once the tenth earthworm is included in the data set? 3,4,5,5,6,7,8,9,1
To find the median, we need to arrange the data in order from least to greatest:
1, 3, 4, 5, 5, 6, 7, 8, 9, 9.5
The middle number is 5, so that is the median.
2. Simplify the expression: 2(3x + 4) - 5(2x - 1)
First, distribute the coefficients:
6x + 8 - 10x + 5
Combine like terms:
-4x + 13
3. Solve for x: 4x - 8 = 20
Add 8 to both sides:
4x = 28
Divide both sides by 4:
x = 7
4. A rectangular garden has a length of 12 meters and a width of 6 meters. What is the area of the garden?
The area of a rectangle is length x width, so:
12 x 6 = 72 square meters
5. If a triangle has angles measuring 30 degrees, 60 degrees, and 90 degrees, what is the length of the side opposite the 60 degree angle if the hypotenuse is 10?
We can use the trigonometric ratio for a 30-60-90 triangle:
Opposite 60 degree angle = (sqrt(3)/2) x hypotenuse
= (sqrt(3)/2) x 10
= 5sqrt(3)
6. Simplify the expression: (3x^2y^3z^2)^2
Square each term inside the parentheses:
9x^4y^6z^4