Since the x value of the vertex is -b/2a in ax^2+bx+c, we have -3 as b and -1 and a, getting -(-3/-1*2)=-(3/2)=-3/2 as the x value of the vertex. To get the y value of the vertex, we plug the x value of the vertex into the function, resulting in -(3/2)^2-3*(-3/2)+6=8.25, making the vertex (-3/2, 8.25)
Answer:
ASA postulate is used the triangles are congruent
Step-by-step explanation:
if we look carefully we find that the angle and side marked are equal . Also opposite angles are equal. so the lines bisecting are making opposite equal angles.
hence two angles and one side are equal and ASA (angle side angle) postulate is used. the triangles are congruent
The area of the L shaped figure is 258 ft²
<h3>
Area</h3>
Area is the amount of space occupied by a two dimensional figure.
The area of a rectangle is given by:
Area = length * breadth
From the diagram, the area is:
Area = [18 * (21 - 12)] + (12 * 8) = 258 ft²
The area of the L shaped figure is 258 ft²
Find out more on Area at: brainly.com/question/25292087
Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197
Your answer is 2^12 check out this video that explains it
https://www.youtube.com/watch?v=ZV430MtO12s