Answer:
(3x - 25y)(3x + 25y)
Step-by-step explanation:
9x² - 625y² ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Given
9x² - 625y²
= (3x)² - (25y)²
= (3x - 25y)(3x + 25y)
Answer:
Step-by-step explanation:
So we have the equation:
And we want to solve for R.
First, let's multiply both sides by J to remove the fraction on the right. So:
Simplify the right:
We can rewrite our equation as:
So, to isolate the R variable, divide both sides by I²t:
The right side cancels, so:
And we are done!
Answer:
99.7%
Step-by-step explanation:
Using the z score formula
z-score is z = (x-μ)/σ
where:
x = raw score
μ = population mean
σ = population standard deviation.
a) for x = raw score = 35
μ = population mean = 44
σ = population standard deviation =3
z = (35 - 44)/3
z = -9/3
z = -3
b) for x = raw score = 53
μ = population mean = 44
σ = population standard deviation =3
z = (53 - 44)/3
z = 9/3
z = 3
We would use the standard normal distribution table to find their probabilities
P(Z<=-3)=0.0013499
P(Z<=+3)=0.99865
So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973
Converting to percentage = 0.9973 × 100 = 99.73%
Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%
Answer:
A) Alternate interior
Step-by-step explanation:
Answer:
probably at least 2
Step-by-step explanation:
