Hi I need help with math
1 answer:
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Answer:
a) It can be used because np and n(1-p) are both greater than 5.
Step-by-step explanation:
Binomial distribution and approximation to the normal:
The binomial distribution has two parameters:
n, which is the number of trials.
p, which is the probability of a success on a single trial.
If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.
In this question:
So, lets verify the conditions:
np = 201*0.45 = 90.45 > 5
n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5
Since both np and n(1-p) are greater than 5, the approximation can be used.
Given that:
The function to represent the growth of Neveah hair is
where, x represents the number of months since her last hair cut.
To find:
The inverse of function and time when her hair will have grown 6 inches.
Solution:
We have,
Put f(x)=y.
Interchange x and y.
Isolate y.
Put .
So, the required inverse function is . It represents the number of months to grow her hair x inches.
She can predict when her hair will have grown 6 inches by putting x=6 in the inverse function.
Put x=6 in the inverse function.
Therefore, growth of her hair is 6 inches in 7 months.
Answer:
New line =3*ZX
Step-by-step explanation:
It is given that the isosceles trapezoid is dilated using a scale factor of 1/3
and a line is drawn through the center of the new dilated figure, so
let us suppose that line is EF which is drawn and it will also pass through
the center in similar way the line ZX passes through so after considering this situation, we can come to this point
so new line will be 3 times longer than ZX.