Answer:
4x^2+3x-6
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let x be the random variable representing the lifespan of laptops. Since the lifespans are normally distributed and population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 24.5
σ = 2.6
n = 33
the probability that the mean lifespan of these laptops will be less 23.8 months is expressed as
P(x ≤ 23.8)
For x = 23.8
z = (23.8 - 24.5)/(2.6/√33) = - 1.55
Looking at the normal distribution table, the probability corresponding to area on the left of the z score is 0.061
P(x ≤ 23.8) = 0.061
Answer:
1.51
Step-by-step explanation:
Divide 7.55 by 5 and it equals 1.51
call x is the amount of cup of pineapple, and y is the amount of cup of cranberry.
we have:
x + y = 10
x/y = 3/2 => x = (3/2)*y
x + y = 10
=> (3/2)y + y = 10
=> 3y + 2y = 20
=> 5y = 20
=> y = 4
x + y =10
=> x = 10 -4 = 6
=> 6 cups of pineapple and 4 cups of cranberry would make 10 cups
Answer:
(1,4)
Step-by-step explanation:
The two lines intersect at 1,4 when you graph them
The first equation is already in slope intercept from, so you know the y-int. is 7 and the slope is 3. However, the second equation must be put in slope int. form.
5x+2y=3
move the y to the other side
5x=3-2y
move the 3 to the other side, so the y variable is by itself
5x-3=-2y
divide by -2 to the equation is equal to y
(-5x/2)+(3/2)=y
you now know the y int. of the second equation is 3/2 and the slope is -5/2
know that you know the slop int. formulas for both equations you can graph them