(2,-5) https://www.mathpapa.com/algcalc2/?utm_expid=69051716-16.tNCYGchyRSmAD_peBBMf2Q.1&utm_referrer=https...
Answer:
322.63%
Step-by-step explanation:
Volume of square pyramid = 1/3a²h
a = base side length ; h = height
Volume of pyramid A :
a = 18 ; h = 9
V = 1/3*18²*9
V = 18² * 3
V = 972 in³
Volume of pyramid B = 3136 in³
Volume of pyramid B / Volume of pyramid A
(3136 / 972) * 100% = 322.63%
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:
x= 2,
,y = 5
Step-by-step explanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 5
// Plug this in for variable y in equation [2]
[2] -4x + 2•(5x-5) = 2
[2] 6x = 12
// Solve equation [2] for the variable x
[2] 6x = 12
[2] x = 2
// By now we know this much :
x = 2
y = 5x-5
// Use the x value to solve for y
y = 5(2)-5 = 5
Solution :
{x,y} = {2,5}
