Answer:
<u>23 consumer.</u>
Step-by-step explanation:
Given:
Number Of Responses for Thirsty = 49
Number Of Responses for Clean = 24
Number Of Responses for Strong Ones = 15
Number Of Responses for PowerWash = 12
So,
The total number of Responses = 49 + 24 + 15 + 12 = 100
So, the probability to prefer PowerWash = 12/100 = 0.12
For a group of 195 consumers:
prediction to prefer PowerWash paper towels = 0.12 * 195 = 23.4
So,
The number of consumers prefer PowerWash paper towels = <u>23 consumer</u>
Answer:
There are no values of P to make it true
Step-by-step explanation:
Answer:
Step-by-step explanation:
Changing Bases to Evaluate Logarithms
Apply change of base formula'
log term should be the numerator and denominator is the log base
64 is 4^3 and 16 is 4^2
Move the exponent before log
top and bottom has same log so cancel it out
Solution:
Using Substitution Method:
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
get the value of x from Equation 2
x=3y-5 (Equation 3)
Put the value of x from Equation 3 in Equation 1
-4(3y-5)+7y=-5
-4(3y)+20+7y=-5
-12y+7y=-5-20
-5y=-25
Negative sign on both sides cancels each other
y=25/5
y=5
Putting value of y in equation 3
x=3(5)-5
x=15-5
x=10
Therefore, [x,y]=[10,5]
Using Elimination Method
-4x+7y=-5 (Equation 1)
x-3y=-5 (Equation 2)
Multiply equation 2 with -4 in order to eliminate the x term
-4(x-3y)=-5*4
-4x+12y=20 (Equation 3)
Adding Equation 1 and 3
-4x+7y=-5
-4x+12y=20
+ - = - (Change Of Sign with x and y terms)
-----------------
0x-5y = -25
-5y=-25
y=5
Substituting y’s value is Equation 1
-4x+7(5)=-5
-4x+35=-5
-4x=-40
Cancellation of negative sign on both sides
x=40/4
x=10
[x,y]=[10,5]
Use the permutation formula
nPr = (n!)/((n-r)!)
20P15 = (20!)/((20-15)!)
20P15 = (20!)/(5!)
The final answer is choice A
