Answer:
Catron's error is
"She did not follow order of operations"
Step-by-step explanation:
Catron evaluates the expression (negative 9) (2 and two-fifths)
That expression can be written as below
Catron's error is
"She did not follow order of operations"
The corrected steps are
Step1: Given expression is
Step2: Convert mixed fraction into improper fraction
Step3: Multiplying the terms
Therefore solution
Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
8x-41+9x+17= 180 (becuase they lie on a straight line)
17x-24=180
Move twenty four to the other side as a positive
17x=204
Divide both sides by 17
X is equal to 12
Answer:
B. (-3, -2)
Step-by-step explanation:
Multiply the first equation by -1/3 and add the result to the second equation.
-1/3(3x -3y) +(5x -y) = -1/3(-3) +-13
4x = -12 . . . . simplify
x = -3 . . . . . . divide by 4
Substituting this into -1/3 times the first equation, we get ...
-(-3) +y = 1
y = -2 . . . . . . . subtract 3
The solution is (x, y) = (-3, -2).
Answer:
B. There were 60 nano-related patents granted in 1991
Step-by-step explanation:
In the expression:
60⋅1.2^t
t is years after 1991, that is, in the year 1993, t = 2
60 is the value of the expression at t = 0, then it represents the amount of nano-related patents granted in 1991
