B (second choice) it just makes sense when u think about it
Answer:
14
Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find
Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m
Hope this helps :)
Answer:
The GMAT score corresponding to the 16th percentile is 473.
Step-by-step explanation:
Empirical Rule.
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
68% of the measures within 1 standard deviation of the mean.
This means that they are between the 50 - (68/2) = 50 - 34 = 16th percentile(one standard deviation below the mean) and the 50 + (68/2) = 50 + 34 = 84th percentile(one standard deviation above the mean).
In this question:
Mean of 549, standard deviation of 76.
16th percentile:
One standard deviation below the mean, so 549 - 76 = 473.
The GMAT score corresponding to the 16th percentile is 473.
Hello from MrBillDoesMath!
Answer: x^2 - 6.5x + 10.5 = 0
Discussion:
If the roots are 3 and 3.5, then the quadratic equation is
(x -3 ) ( x - 3.5) = 0
or
x * (x - 3.5) - 3 (x - 3.5) = 0
or
X^2 - 3.5X - 3X + 3(3.5) = 0
or
x^2 - 6.5x + 10.5 = 0
Thank you,
MrB
X=29
X=53
I tried, I think it's right.
