Answer:
a) 0.8413
b) 421
c) 
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 165
Standard Deviation, σ = 15
We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.
Formula:
a) P(IQ scores at most 180)
P(x < 180)
Calculation the value from standard normal z table, we have,
b) Number of the members of the club have IQ scores at most 180
n = 500

c) P(X< x) = 0.95
We have to find the value of x such that the probability is 0.95
Calculation the value from standard normal z table, we have,


The answer would be -4 because if you do -4 times 2x then you would get -8x. Then if you did -4 times -3 you would get 12. (A negative times a negative equals a positive)
Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:

where a,b, and c are constants.
The factored form of a quadratic equation is:

Where
and
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:


Operating:

Joining like terms:

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

Answer:
0.79
Step-by-step explanation:
add up the probability that is less than or equal to 0, which is 0.17+0.13+0.33+0.16 = 0.79