Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
Answer:
32 days
Step-by-step explanation:
5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.
hope that's right <3
A=lxw so 640in that is your answer
Answer:
15.85%
Step-by-step explanation:
Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.
Given mean (μ) = 41 months, standard deviation (σ) = 5 months
One standard deviation = μ ± σ = 41 ± 5 = (36, 46)
Therefore 68% falls within 36 months and 41 months
Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)
Therefore 95% falls within 31 months and 51 months
Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)
Therefore 99.7% falls within 26 months and 56 months
The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%
Answer:
x = 9 is the x-intercept.
Step-by-step explanation:
We have given the coordinates (-6,10) and (12,-2).
We have to find the x-intercept of the line containing these points.
First we find the slope m by using these points.
We know that m = (y₂-y₁)/(x₂-x₁)
m = -2/3
The general form of the equation of line is :
y = mx + c
Where c is the y intercept.
Using the first coordinate to find c .
10 = (-2/3)(-6) +c
c = 6
So, the required equation is :
y = (-2/3)x+6
We have to find the x-intercept.
For this we put y=0
(-2/3)x+6 = 0
2/3 x = 6
x = 6(3/2)
x = 9 is the x-intercept.
