3x + x =12.80
Combine like terms
4x=12.80
Divide both sides by 4 to isolate x
X=3.20
Pat has 3 times = 3.20x3= 9.60
12.80-9.60 =3.20 Jerry’s money
Answer with Step-by-step explanation:
We are given that
ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.
D is the midpoint of E.
We have to prove that 
Statement:1 ABCE is a rectangle.D is the mid point of CE
Reason: Given
Statement 2:
Reason:By definition of rectangle
Statement:3 AE=BC
Reason: By definition of rectangle
Statement 4:
Reason: By definition of midpoint because D is the midpoint of side EC
Statement 5:
Reason:SAS postulate
Statement: 6 
Reason:CPCT
Hence proved.
Answer:
The critical value for the 90% confidence interval is
.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
90% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The critical value for the 90% confidence interval is
.
Answer:
The population in 2003 was 234 million
Step-by-step explanation:
In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:
p(y)=ir^t
According to the given data:
p(y)=233 million
i=231 million
t
=1999-1991
Therefore, 233 million=231 million r^(1999-1991)
(233 million/231 million)^(1/8)=r
p(y)=231 million(233 million/231 million)^((y-1991)/8)
Therefore, in 2003
p(2003)=231 million(233 million/231 million)^((2003-1991)/8)
p(2003)=231 million(233 million/231 million)^(1.5)
p(2003)=234 million
The population in 2003 was 234 million
2, 7, 12
-18 + 5= -13
-13 + 5= -8
-8 + 5= (2)
2+ 5 = (7)
7+ 5= (12)