<h2>Answer:</h2><h2>let number be x</h2><h2>Step-by-step explanation:</h2><h2>5x - 1 = 24</h2><h2>5x = 25</h2><h2>x = 5</h2>
A.
B.
Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.
The correct solution:
Answer:
We have strong evidence that on average, students study less than 150 minutes per night during the school week
Step-by-step explanation:
Normal distribution:
mean μ₀ = 150
Sample:
Sample size n = 272
Sample mean x = 141
Sample standard deviation s = 66
The standard error of the sample mean SE = σ /√n
SE = 66/√272
SE = 66 / 16,49
SE = 4
Test Hypothesis:
Null hypothesis H₀ x = μ₀
Alternative hypothesis Hₐ x < μ₀
z(s) test statistics is:
z(s) = ( x - μ₀ ) / s/√n
z(s) = - 9 /4
z(s) = - 2,25
p-value for that z(s) p-value = 0,0122
Then for α = 0,05 p-value < 0,05
We are in the rejection region we need to reject H₀
Answer:
1. Three collinear points are R, X, and Q
2. Plane V is a quadrilateral
3. The three segments are PQ, RX, and XQ
4. The two rays are Xr and QS
5. The five lines (each taken alone) are Xr, QS, PQ, RX, and XQ
Step-by-step explanation:
1. Collinear points are points that lie in or can be located on the same line
2) A quadrilateral is a four sided two-dimensional shape
3) A line segment is a line portion between two end points
4) A ray is a line with one end point that extends to infinity in a direction
5) A line is a one dimensional straight geometric figure that extends to infinity in both directions.
Answer:
True
Step-by-step explanation:
