Answer: C
Y=90+6x/x
90 new tools + 6 dollars (x) over x dollars
Answer:
b= -4.68
Step-by-step explanation:
Hello!
We have to study variables:
Y: Monthly coffe sales
X: Price per pound of coffe ($)
The estimate regression line is
^Yi= a + bxi ∀ (i=1,.....,10)
The slope of the estimated regression line is represented by b.
The formula I'll use to calculate it is:
b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²
To calculate b we need to do some auxiliary calculations:
∑xiyi= 4213.15
∑xi= 87.47
∑yi= 545
∑xi²= 883.3703
Then we replace the formula:
b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²
b= -4.68
I hope you have a SUPER day!
Answer:
0.77 or 77%
Step-by-step explanation:
Given:
Percentage of brown peanuts = 12%
Percentage of yellow peanuts = 15%
Percentage of red peanuts = 12%
Percentage of blue peanuts = 23%
Percentage of orange peanuts = 23%
Percentage of green peanuts = 15%
Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1
Probability that a randomly selected peanut M&M is not orange:
P(orange)' = 1 - P(orange)
Where,
P(orange) = 23% = 0.23
Thus,
P(orange)' = 1 - 0.23
P(orange) ' = 0.77
Probability that a randomly selected peanut is not orange = 0.77
Answer:
PQ = 46
Step-by-step explanation:
The midsegment ST is half the length of the third side PQ , that is
ST =
PQ , so
5x - 22 =
(3x + 19) ← multiply both sides by 2 to clear the fraction
10x - 44 = 3x + 19 ( subtract 3x from both sides )
7x - 44 = 19 ( add 44 to both sides )
7x = 63 ( divide both sides by 7 )
x = 9
Then
PQ = 3x + 19 = 3(9) + 19 = 27 + 19 = 46
Answer:
There are in total 3 maximum and minimum points of f(x)
Step-by-step explanation:
To find the number of stationary points (maximum and minimum points) in any function (f(x)), we need to find for what values of x does the derivative of f(x) equal to 0.
mathematically, for how many values of x does f'(x) = 0


since the factors can be separately solved we can write




Since there are 3 answers of x for which f'(x) = 0, we can say that the there are a total of 3 stationary (maximum or minimum) points in f(x).