A painter spends three hours working on a painting. A sculptor spends 2 2/3 as long working on a sculpture. How long does the sc
1 answer:
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Answer:
Step-by-step explanation:
Given : The probability of a correct classification of any part is : p=0.96
sample size : n= 3
The formula to find the mean and variance for binomial distribution is given by :-
Let the random variable X denote the number of parts that are correctly classified.
The, for the given situation, we have
Hence, the mean and variance of X are 2.88 and 0.115 respectively.
Answer:
Part A:
( 1.8333, -0.08333)
Part B:
x = 2 or x = 5/3
Step-by-step explanation:
The quadratic equation
has been given.
Part A:
We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.
Setting the derivative to 0;
6x - 11 = 0
6x = 11
x = 11/6
The corresponding y value is determined by substituting x = 11/6 into the original equation;
y = 3(11/6)^2 - 11(11/6) + 10
y = -0.08333
The vertex is thus located at the point;
( 1.8333, -0.08333)
Find the attached
Part B:
We can use the quadratic formula to solve for x as follows;
The quadratic formula is given as,
From the quadratic equation given;
a = 3, b = -11, c = 10
We substitute these values into the above formula and simplify to determine the value of x;
