Answer:
x = 14
Angle B = 121°
Angle C is 59°
Step-by-step explanation:
First we'll find x, then we'll find Angle B (by substituting in x), then we'll find Angle C (bc Angle B and C are supplementary--that us, they add up to 180°)
10x-19 = 7x+23 subtract 7x
3x-19 = 23 add 19
3x = 42 divide by 3
x = 14
Angle B is 10x-19, and if x=14, then its 10(14)-19
Angle B is 140-19
which is 121°
Angle B = 121°
Angle B and Angle C add up to 180°
121° + c = 180°
c = 180-121
Angle C is 59°
Answer:
Below is the R code for the bootstrapping in exponential distribution. The result is attached below.
####################################
rm(list=ls(all=TRUE))
set.seed(12345)
N=c(10,100,500)
Rate=0.2
B=1000
MN=SE=rep()
for(i in 1:length(N))
{
n=N[i]
X=rexp(n,rate=Rate)
EST=1/mean(X)
ESTh=rep()
for(j in 1:B)
{
Xh=rexp(n,rate=EST)
ESTh[j]=1/mean(Xh)
}
MN[i]=mean(ESTh)
SE[i]=sd(ESTh)
}
cbind(N,Rate,MN,SE)
Step-by-step explanation:
Answer:
V = 4/3 pi or approximately 4.187 ft^3
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
The radius is 1 ft
V = 4/3 pi (1)^3
V = 4/3 pi
We can approximate pi by 3.14
V = 4/3 (3.14)
V = 4.186666666 ft^3
The average rate of travel was 49 mi /hr. To find the average rate/speed, you just divide the overall distance by the overall time. In this case, 735 mi/ 15 hrs, give you the average rate/speed of 49 mi/hr
Answer:
see the attachment for a graph
Step-by-step explanation:
You know the cos(θ) function has a maximum of 1 at θ=0 and 2π, and a minimum of -1 at θ=π. You know it has zeros at θ=π/2 and 3π/2. Here, θ=2x, so all of these θ-values will be cut in half to turn them into values for x.
Here, too, the function is multiplied by -3, so the maximum cos(2π)=1 becomes the minimum on your graph, -3cos(2x)=-3 where x=0 or π.