Hi!
(l = Lenny
m = Max)
Lenny is 3 times as old as Max.
3m = l
When you subtract Max's age from Lenny's age, you get 24.
L - m = 24
Put in the value of l.
3m - m = 24
There is our equation.
Now solve
2m = 24
2m/2 = 24/2
m = 12
3 * 12 = l
36 = l
The equation is 3m - m = 24
Max is 12 and Lenny is 36.
Hope this helps! :)
-Peredhel
Answer: 0.70
Step-by-step explanation:
Given : The random variable X, representing the number of accidents in a certain intersection in a week, has the following probability distribution:
x 0 1 2 3 4 5
P(X = x) 0.20 0.30 0.20 0.15 0.10 0.05
Using the above probability distribution , the the probability that in a given week there will be at most 3 accidents is given by :_
![P(\leq3)=P(0)+P(1)+P(2)+P(3)\\\\=0.20+0.30+0.20=0.70](https://tex.z-dn.net/?f=P%28%5Cleq3%29%3DP%280%29%2BP%281%29%2BP%282%29%2BP%283%29%5C%5C%5C%5C%3D0.20%2B0.30%2B0.20%3D0.70)
Hence, the required probability = 0.70
The length of BC is
.
Solution:
Given ABC is a right triangle.
AC is the hypotenuse and BD is the altitude.
AB and BC are legs of the triangle ABC.
AC = 16 and DC = 5
<u>Leg rule of geometric mean theorem:</u>
![$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Ctext%20%7B%20hypotenuse%20%7D%7D%7B%5Ctext%20%7B%20leg%20%7D%7D%3D%5Cfrac%7B%5Ctext%20%7B%20leg%20%7D%7D%7B%5Ctext%20%7B%20part%20%7D%7D%24)
![$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7BAC%7D%7BBC%7D%3D%5Cfrac%7BBC%7D%7BDC%7D%24)
![$\Rightarrow \frac{16}{x}=\frac{x}{5}$](https://tex.z-dn.net/?f=%24%5CRightarrow%20%5Cfrac%7B16%7D%7Bx%7D%3D%5Cfrac%7Bx%7D%7B5%7D%24)
Do cross multiplication.
![\Rightarrow 16\times 5 = x\times x](https://tex.z-dn.net/?f=%5CRightarrow%20%2016%5Ctimes%205%20%3D%20x%5Ctimes%20x)
![\Rightarrow 80= x^2](https://tex.z-dn.net/?f=%5CRightarrow%20%2080%3D%20x%5E2)
![\Rightarrow 16\times 5= x^2](https://tex.z-dn.net/?f=%5CRightarrow%20%2016%5Ctimes%205%3D%20x%5E2)
Taking square root on both sides.
![\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%20%5Csqrt%7B16%5Ctimes%205%7D%20%3D%20%5Csqrt%7Bx%5E2%7D)
![\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}](https://tex.z-dn.net/?f=%5CRightarrow%20%20%5Csqrt%7B4%5E2%5Ctimes%205%7D%20%3D%20%5Csqrt%7Bx%5E2%7D)
square and square roots get canceled, we get
![\Rightarrow 4\sqrt{ 5} = x](https://tex.z-dn.net/?f=%5CRightarrow%20%204%5Csqrt%7B%205%7D%20%3D%20x)
The length of BC is
.
Answer:
a) r = 5
b) false
Step-by-step explanation:
study about GP
Answer:
3rd one and the 4th one
Step-by-step explanation:
Hopt it helps.....