the answer is communicative
First, you find the biggest number that you can divide 24, 30, and 12 by. I would go with 6, because it will simplify all the numbers into the simplest forms possible in this equation. Then, divide each number by 6.
24/6= 4
30/6= 5
12/6= 2
The answer:
4 : 5 : 2
Hope I could be of help:)
Answer:
x= -1 or x = -2
Step-by-step explanation:
Your equation:
(x−3)^3−(x−1)^3+7x^2=7(3x−4)
Step 1: Simplify both sides of the equation.
x^2+24x−26=21x−28
Step 2: Subtract 21x-28 from both sides.
x^2+24x−26−(21x−28)=21x−28−(21x−28)
x^2+3x+2=0
Step 3: Factor left side of equation.
(x+1)(x+2)=0
Step 4: Set factors equal to zero.
x+1=0 or x+2=0
which equals to x=−1 or x=−2
So the number of pencils bought can be represented by an equation:
, where n is the number of notebooks bought. Since Helen bought 5 notebooks, simply plug 5 into n:
. So Helen bought 12 pencils.
Answer:
Step-by-step explanation:
Suppose the time required for an auto shop to do a tune-up is normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = points scored by students
u = mean time
s = standard deviation
From the information given,
u = 102 minutes
s = 18 minutes
1) We want to find the probability that a tune-up will take more than 2hrs. It is expressed as
P(x > 120 minutes) = 1 - P(x ≤ 120)
For x = 120
z = (120 - 102)/18 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.8413
P(x > 120) = 1 - 0.8413 = 0.1587
2) We want to find the probability that a tune-up will take lesser than 66 minutes. It is expressed as
P(x < 66 minutes)
For x = 66
z = (66 - 102)/18 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.02275
P(x < 66 minutes) = 0.02275
