E+(e-24)=126
2e-24=126
2e=150
e=75
So (s)he recieved 75 and 75-24=51 emails on those days.
Answer:
Step-by-step explanation:
Given that X - the distribution of heights of male pilots is approximately normal, with a mean of 72.6 inches and a standard deviation of 2.7 inches.
Height of male pilot = 74.2 inches
We have to find the percentile
X = 74.2
Corresponding Z score = 74.2-72.6 = 1.6
P(X<174.2) = P(Z<1.6) = 0.5-0.4452=0.0548=5.48%
i.e. only 5% are below him in height.
Thus the malepilot is in 5th percentile.
Answer:
Step-by-step explanation:
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
Answer:
![A=600\: u^{2}](https://tex.z-dn.net/?f=A%3D600%5C%3A%20u%5E%7B2%7D)
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
![tan(\alpha)=\frac{24}{32}](https://tex.z-dn.net/?f=tan%28%5Calpha%29%3D%5Cfrac%7B24%7D%7B32%7D)
![\alpha=tan^{-1}(\frac{24}{32})](https://tex.z-dn.net/?f=%5Calpha%3Dtan%5E%7B-1%7D%28%5Cfrac%7B24%7D%7B32%7D%29)
![\alpha=36.9^{\circ}](https://tex.z-dn.net/?f=%5Calpha%3D36.9%5E%7B%5Ccirc%7D)
Now, if α = 37° then β (angle JLK) must be:
![37^{\circ} + \beta + 90^{\circ}=180^{\circ}](https://tex.z-dn.net/?f=37%5E%7B%5Ccirc%7D%20%2B%20%5Cbeta%20%2B%2090%5E%7B%5Ccirc%7D%3D180%5E%7B%5Ccirc%7D)
![\beta=53^{\circ}](https://tex.z-dn.net/?f=%5Cbeta%3D53%5E%7B%5Ccirc%7D)
Now, we can find the distance ML using again the tangent definition:
![tan(\beta)=\frac{24}{ML}](https://tex.z-dn.net/?f=tan%28%5Cbeta%29%3D%5Cfrac%7B24%7D%7BML%7D)
![ML=\frac{24}{tan(53)}](https://tex.z-dn.net/?f=ML%3D%5Cfrac%7B24%7D%7Btan%2853%29%7D)
![ML=18](https://tex.z-dn.net/?f=ML%3D18)
The base of the triangle LKJ will be:
![b=32+ML=32+18=50](https://tex.z-dn.net/?f=b%3D32%2BML%3D32%2B18%3D50)
Therefore, using equation (1) the area of △LKJ will be:
![A=\frac{50*24}{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B50%2A24%7D%7B2%7D)
![A=600\: u^{2}](https://tex.z-dn.net/?f=A%3D600%5C%3A%20u%5E%7B2%7D)
The correct answer is c.
I hope it helps you!
All except 0. The inequality is saying that x must be less than or equal to 3 which all answers except 0 are.