Answer:
74.99%
Step-by-step explanation:
We have a binomial problem, where the sample sample size is 15 and p = 80%
Find the probability that exactly 12 of the 15 consumers recognize the brand name, where n = 15 and x = 12
P (x) = nCx * [(p) ^ x] * [(1 - p) ^ (n-x)]
Replacing:
P (x = 12) = 15C12 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P (x = 12) = 455 * [(0.8) ^ 12] * [(0.2) ^ (3)]
P = 0.2501
To find the probability that the number recognized by the mark is not 12, it would be
P = 1 - P (x = 12)
P = 1 - 0.2501
P = 0.7499
That is, the probability is 74.99%
Answer:
Step-by-step explanation:
GIven that ,
Dividend is greater than Divisor by 642.
Therfore , let,
Dividend = x + 642.
Divisor = x
Quotient = 8
Remainder = 19.
We know that, Dividend = Divisor × Quotient + Remainder.
Therefore, x+642 + X.8 + 19.
X + 642 = 8X + 19.
642 - 19 = 8X - X
7X = 623
X = 623/7
X = 89.
Therefore, Divisor = 89
Dividend = X+642=731.
Answer:y=x(x²+8x-20)
Step-by-step explanation:
c=x-2
b=x
a=x+10
y=abc
y=x(x-2)(x+10)
y=(x²-2x)(x+10)
y=x³+10x²-2x²-20x
y=x³+8x²-20x
y=x(x²+8x-20)
Answer:150
Step-by-step explanation: If you see the highest point in the number line. You can see it’s in the middle of of 140 and 160 so it’s 150
Hint: There are several ways to proceed in this kind of problems, but usually the simplest and the one that will yield the most success on average is substituting.
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)