Answer:
Step-by-step explanation:
a) Frequency table:
Category Frequency
Dog 4
Cat 3
Fish 2
Hamster 1
b) Relative frequencies of each animal type
Dog: 4/10 = 0.4
Cat: 3/10 = 0.3
Fish: 2/10 = 0.2
Hamster: 1/10 = 0.1
c) Popularity
Dog is the most popular because it has the highest relative frequency.
Hamster is the least popular because it has the lowest relative frequency.
Answer:
(1,0)
Step-by-step explanation:
3x + 6y = 3
7x + 3y = 7
Multiply the second equation by -2
-2( 7x + 3y = 7)
-14x -6y = -14
Add this to the first equation to eliminate y
3x + 6y = 3
-14x -6y = -14
--------------------
-11 x = -11
Divide by -11
x = 1
Now find y
3x + 6y = 3
3 +6y = 3
Subtract 3 from each side
6y = 0
y =0
Answer:
Concert Specialties is the better buy
Step-by-step explanation:
In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...
Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300
We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324
Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment
2(-n-3)-7(5+2n)
First, you need to distribute the numbers in front of the parentheses to those in the parentheses. This means you multiply.
2 times -n= -2n
2 times -3= -6
-7 times 5= -35
-7 times 2n= -14n
This leaves you with
-2n -6 -35 -14n
Next, combine like terms.
(-2n) + (-14n)= -16n
(-35) + (-6)= -41
This gives you
-16n-41, which is B in your answer choices.
Hope this makes sense!! :)
Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
