Answer:
Hence, the relation R is a reflexive, symmetric and transitive relation.
Given :
A be the set of all lines in the plane and R is a relation on set A.

To find :
Which type of relation R on set A.
Explanation :
A relation R on a set A is called reflexive relation if every
then
.
So, the relation R is a reflexive relation because a line always parallels to itself.
A relation R on a set A is called Symmetric relation if
then
for all
.
So, the relation R is a symmetric relation because if a line
is parallel to the line
the always the line
is parallel to the line
.
A relation R on a set A is called transitive relation if
and
then
for all
.
So, the relation R is a transitive relation because if a line
s parallel to the line
and the line
is parallel to the line
then the always line
is parallel to the line
.
Therefore the relation R is a reflexive, symmetric and transitive relation.
Answer:
First we need to name some of the variables we are given:n = 38 the sample sizex = 6.88 the sample mean = 1.86 the population standard deviationWe need to find a 90% confidence interval for the mean price per 100 lbs of watermelon: = 1-.90 = .10/2 = .05z(/2) = -1.64-z(/2) = 1.64This can give us a probability expression:P(-1.645 < z < 1.645) = .90The margin of error is calculated with the formula: E = z(/2)(/√n)E = 1.645(1.86/√38) = $.4963(300) = $148.89 Then to calculate the upper and lower limit we add and subtract E from x:lower limit = 6.88 - .4963 = $7.38(300) = $2214upper limit = 6.88 + .4963 = $6.38(300) = $1914Note: We multiply the E, upper and lower limits by 300 because 15 tons is 30000lbs and we need the price per 100 lbs, so we divide 30000/100 and get 300.
Step-by-step explanation:
Answer:
3 minutes
5 minutes.
Step-by-step explanation:
It is given that, Amelia can wash 8 plates in 24 minutes.
So, if this rate remains constant then 1 plate will be washed in
minutes.
Again, it is given that, Amelia bakes 12 cookies in 60 minutes.
So, if this rate also remains constant then she will bake 1 cookie in
minutes. ( Answer )
Step-by-step explanation:
the function of increasing for -2.5 < x < 2.5
or written as :
x > -2.5
x < 2.5
Answer: 6 recipes
Step-by-step explanation: Just divide the 6 cups of buttermilk by 7/8 because each recipe need 7/8 cup of butter milk. You will get a number like this 6.857142857142857 (there are probably more decimals that come after it.) But, all the numbers after the 6 are useless because more recipes can't be made with those because you need at least 7/8 cups for one recipe. So, this will make 6 recipes. Hope this helps!