Answer:
1)acute triangle
2) right angle
3) obtuse triangle
Step-by-step explanation:
please mark me as brainlest
Y = 90 degrees
1) The angles on a straight line add to 180 degrees so 180-110= 70 degrees.
2) The angles in a triangle add to 180 degrees so 70+70= 140 degrees. The angle at the top of the triangle will have to be 40 degrees as 140+40= 180 degrees.
3) As x is half the angle at the top of the triangle (40 degrees), x will equal 20 degrees.
4) As the angles in a triangle add to 180 degrees 20+70=90 degrees 180-90=90 degrees.
5) Answer = 90 degrees
Step-by-step explanation:
The axis of symmetry: is the line that makes the parabola split in exactly half and lines up with the vertex. For that parabola x=1 is the line of symetry.
The vertex is where the minimum of the graph is, on this graph you can eyeball it to be (1,-9)
The x-intercept is where y is 0 so that's where the lines intersex with the x-axis. (-2,0) and (4,0)
The y-intercept of the function is where x is 0 and where the parabola intersects with the y-axis. On this graph it would be (0,-8)
Hope that helps :)
Answer:
x>1
Step-by-step explanation:
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that 
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:



has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.