Answer:
DF = 14
Step-by-step explanation:
Andrew was wrong in the assumption that DE = EF
Segments of tangents to a circle from the same external point are congruent
That is
EF = FG = 8
Then
DF = DE + EF = 6 + 8 = 14
C
5 x f
5 = price for flowers
f = variable = how many flowers.
The max height will be reached after 3 seconds.
You have a typo in your equation. For this type of quadratic equation, it always starts out with a negative coefficient of the t squared term.
To find the x-coordinate of the vertex, we just need to use the expression: -b/2a.
Then, we have:
-24 / (2(-4))
-24 / -8
3
Answer: the probability that a randomly selected tire will have a life of exactly 47,500 miles is 0.067
Step-by-step explanation:
Since the life expectancy of a particular brand of tire is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = life expectancy of the brand of tire in miles.
µ = mean
σ = standard deviation
From the information given,
µ = 40000 miles
σ = 5000 miles
The probability that a randomly selected tire will have a life of exactly 47,500 miles
P(x = 47500)
For x = 47500,
z = (40000 - 47500)/5000 = - 1.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.067
Answer:
b= 12
Step-by-step explanation:
3/b = 5/20
3/b = 1/4
b= 12