Answer:
B. Multiply (60 − 2x) and (2 + 0.25x) to create the equation y = -0.5x2 + 11x + 120
Step-by-step explanation:
x is the number of price increases of 0.25 each, so (2 + 0.25x) will be the price after x increases.
2 cups remain unsold for every increase in price, so for x increases, 2x cups remain unsold. Then the number sold is (60 -2x).
Revenue is the product of price and quantity sold, so is ...
... revenue = (60 -2x)(2 +0.25x) . . . . . . matches selections A or B
The product of these binomials is ...
... 60·2 +60·0.25x -2x·2 -2x·0.25x
... = -0.5x² +11x +120 . . . . . . . . . . . . . . . . matches selection B
Answer:
a)
b)
c)
d)
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
Binomial probability distribution:
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
There are 10 containers, so .
A food-packaging apparatus underfills 10% of the containers, so .
a) This is P(X = 1)
b) This is P(X = 3)
c) This is P(X = 9)
d) This is .
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:
In which
So
Finally
For every integer k from 1 to 10, inclusive the kth term of a certain sequence is given by [(−1)^(k+1)]∗[1/2^(k)].
If T is the sum of the first 10 terms in the sequence, then T is:
B.
A. Greater than 2
B. Between 1 and 2
C. Between 1/2 and 1
D. Between 1/4 and 1/2
E. Less than 1/4
Answer:
rom the relation for linear regression formula, Y = b·X + a, we have ;
For car 1
ΣXY = 102780
(ΣX)² = 36
ΣX = 6
ΣY = 52390
ΣX² = 14
N = 3
b = -1000
a = 19463
Y = -1000×X + 19463
For Car 2
ΣXY = 102539.8
(ΣX)² = 36
ΣX = 6
ΣY = 52346.6
ΣX² = 14
N = 3 .
b = -1076.7
a = 19602
Y = -1076.7×X + 19602
Step-by-step explanation:
part B ^
Distribute 2y to both 3y and 17
• 6y+34= 12
then you subtract 34 on both sides and get:
• 6y=-22
Finally you divide 6y on both sides and end up with:
y= -11/3 as a fraction
Hope this helped!