Answer: 0.9554
Step-by-step explanation:
Given : The proportion of the registered voters in a country are Republican = P=0.56
The number of voters = 447
The test statistic for proportion :-
For p= 0.60
Now, the probability that the sample proportion of Republicans will be less than 60% (by using the standard normal distribution table):-
Hence, the probability that the sample proportion of Republicans will be less than 60% = 0.9554
Answer:
where R is the R-value and t is the thickness in inches.
Step-by-step explanation:
We are given the following in the question:
The R-value of fiberglass insulation and f its thickness have a linear relation.
Let R be the R-value and t be the thickness. Then, the equation can be written as:
where a and b are constants.
When t = 3.5, R = 11
When t = 6, R = 19
Solving the two equation, using the elimination method, we have,
Thus, the linear relationship is given by:
where R is the R-value and t is the thickness in inches.
Answer:
The value of a = -12.
Step-by-step explanation:
Given that the points are Q( -6, 5) and R ( -2, 3) -
As we know that-
If a line segment AB is with endpoints ( ) and (
) then the mid points C are-
<em>C = ( ,
)</em>
Here,
Q( -6, 5) and R ( -2, 3)
then the midpoints C are-
( a/3, 4) = ( ,
)
We have to find the value of x therefore we need to compare only x coordinate -
<em>a/3 = ( -6 - 2)/2</em>
<em>a/3 = -8/2</em>
<em>a/3 = - 4</em>
<em>a = -12</em>
Hence the value of a = -12.