A) 1000/239 = 4.something
Ms. Ferguson could book the room for 4 nights
B) 6 x 239 = 1434
1450/1434 = 1.01
Ms Ferguson was off by 1%
C) 2075/1589 = 1.3058
The price increase was by 31%
D) 2075/1.3 = 1596.153
The price that was found was $1596.15
Answer:
Choosing a boy randomly in a class of 10 boys and 10 girls
Step-by-step explanation:
The probability of choosing a boy randomly in a class of 10 boys and 10 girls is calculated as;
(number of boys)/ (total number of students in the class)
= 10/(10+10) = 10/20 = 1/2
The probability of drawing a heart randomly out of a pile of 4 hearts and 8 spades is calculated as;
4/(4+8) = 4/12 = 1/3
The probability of correctly choosing a random number between 1 and 10 is simply 1/10 since the numbers are have a uniform distribution and thus equally likely to be selected.
The probability of choosing a girl randomly in a class of 8 girls and 12 boys is calculated as;
(number of girls)/ (total number of students in the class)
= 8/20 = 2/5
Thus choosing a boy randomly in a class of 10 boys and 10 girls is the event which has a probability closest to 1.
Each colection day: D
Number of tops collected on that day: N
D1=1; N1=2
D2=3; N2=8
1) Linear model
N-N1=m(D-D1)
m=(N2-N1)/(D2-D1)
m=(8-2)/(3-1)
m=(6)/(2)
m=3
N-N1=m(D-D1)
N-2=3(D-1)
N-2=3D-3
N-2+2=3D-3+2
N=3D-1
when D=6:
N=3(6)-1
N=18-1
N=17
<span>What is the number of tops collected on the sixth day based on the linear model?
</span>The number of tops collected on the sixth day based on the linear model is 17.
2) Exponential model
N=a(b)^D
D=D1=1→N=N1=2→2=a(b)^1→2=ab→ab=2 (1)
D=D2=3→N=N2=8→8=a(b)^3→8=a(b)^(1+2)
8=a(b)^1(b)^2→8=ab(b)^2 (2)
Replacing (1) in (2)
(2) 8=2(b)^2
Solving for b:
8/2=2(b)^2/2
4=(b)^2
sqrt(4)=sqrt( b)^2 )
2=b
b=2
Replacing b=2 in (1)
(1) ab=2
a(2)=2
Solving for a:
a(2)/2=2/2
a=1
Then, the exponential model is N=1(2)^D
N=(2)^D
When D=6:
N=(2)^6
N=64
<span>What is the number of tops collected on the sixth day based on the exponential model?
</span><span>The number of tops collected on the sixth day based on the exponential model is 64</span>
Well the apparation i the anggle r is the point for s
Step-by-step explanation:
A,true
doesn't interfere with any function restriction
