Answer:
37/40
Step-by-step explanation:
There are 3 numbers between 1 and 40 that are a multiple of 13: 13,26,39.
So, your probability should be 40-3/40, = 37/40.
Answer:T=1.54yr
Step-by-step explanation:
Formulate for simple interest
I=prt/100
T=100I/pr
T=100×400×12/30100×10
T=1.54yr
Answer:
480 students want more field trips.
60 students is 10%.
Step-by-step explanation:
There are 600 students, and 80% want more field trips.
80% of 600 is 0.8*600 = 8*60 = 480 students.
480 students want more field trips.
Answer:
Yes, the both sides of the given equation are equal.
Step-by-step explanation:
The given equation is

Taking LHS,

Using the power property of logarithm, we get
![[\because log_ax^n=nlog_ax]](https://tex.z-dn.net/?f=%5B%5Cbecause%20log_ax%5En%3Dnlog_ax%5D)
![[\because RHS=3\log(1-i)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20RHS%3D3%5Clog%281-i%29%5D)
Both sides of the given equation are equal.
R = 8 tan(x) sec(x)
In order to solve this, we are going to use the following:
r = sqrt(x^2 + y^2) //but in this case, we don't need this.
tan(x) = Y / X
X = r cos(x)
Y = r sin(x)
<span>(r cos x)^2 = 8(r sin x)</span>
x^2 = 8y