X+1=

To get rid of the square root, put it in the power of 2.
(x+1)^2=3x+7--factor (x+1)^2
x^2+2x+1=3x+7---> solve
Answer:
180
Step-by-step explanation:
For each of the two right triangles, by the Pythagorean theorem, she shared side is of length 15. So, the area of each of the top two rectangles is (½)(8)(15), so their combined area is 120.
Moving onto the trapezoid, we can use the formula for the area of a trapezoid to determine its area is (½)(14+16)(4)=60.
So, the answer is 120+60=180.
Answer:
the probability that an individual, selected at random, will score below the mean on any normally distributed characteristic is just about 0.5.
Step-by-step explanation:
This probability in normal distribution corresponds to z-score of 0. Using normal distribution tables.
P(z < 0) = 1 - P(z ≥ 0) = 1 - 0.5 = 0.5
Which is very logical, to score below the mean on a normal distribution, the probability is just less than 0.5.
Answer:
62.8 units
Step-by-step explanation:
The formula for a cylinder πr²h. R being the radius and h being the height.
Therefore, plug in the numbers and solve.
π(2)²(5) = 20π = 62.8 units