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
R u asking the equations for the slopes of these points, the parallel the perpendicular slopes?? If m right tell me in the comments I'll answer you there.
Answer:
Step-by-step explanation:
y=2(x-8)(x+2)
The x intercepts occur when y=0, so when x=8 and -2
The vertex is where the equation is at a minimum/maximum in this case (x,y)=(3,-50)
The axis of symmetry occurs between the two roots, 8 and -2 which x=3
The y intercept is the value of y when x=0, in this case (0, -32)
Answer:
Arc length = 9.42 cm
Step-by-step explanation:
First you need the circumference of the circle
r = 6
C = 2* pi * r
C = 2 * 3.14 * 6 = 37.68
To find the length of the arc, we need to know the central angle. IN this case it is 90 degrees (notice the right angle of the triangle).
To find the length of the arc Arc length = (central angle in degrees/360) * C
Arc length = 90/360 * 37.68
Arc length = 9.42 cm
Answer:
- =
Step-by-step explanation:
C
6 x 8 = 32
7 x 3 = 21
32 - 21 = 27