You might have to do the quadratic formula
To find t<span>he relative maximum value of the function we need to find where the function has its first derivative equal to 0.
Its first derivative is -7*(2x)/(x^2+5)^2
</span>7*(2x)/(x^2+5)^2 =0 the numerator needs to be eqaul to 0
2x=0
x=0
g(0) = 7/5
The <span>relative maximum value is at the point (0, 7/5).</span>
You can use variables to solve this problem. Lets say that m is men, w is women, and c is children. m+w+c=266
four times as many men as children in ‘math words’ would be 4c=m
twice as many women as children would be 2c=w
what we can do now is plug those in to make everything easier with one variable
4c+2c+c=266
7c=266
c=38 now we have how many children, and we need to plug it back into what we have for women and men.
4c=m 4(38)=m m=152
2c=w 2(38)=w w=76
152 men, 76 women, and 38 children
The probability is 0.1932 that a randomly selected man considers himself a professional fan.
<h3>What is probability?</h3>
Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
We have been given data as:
The number of randomly selected men, n = 10.
Probability of success, that a randomly selected man considers himself a professional fan, p = 61% or 0.61
Probability of failure, that a randomly selected man does not consider himself a professional fan is:
⇒ q = 1 − p = 1 − 0.61= 0.39
The probability that the number of men who consider themselves professional fans is:
⇒ ⁿcₓpˣqⁿ⁻ˣ
Substitute exactly x = 5
⇒ ¹⁰c₅(0.61)⁵(0.39)¹⁰⁻⁵
⇒ ¹⁰c₅(0.61)⁵(0.39)⁵
⇒ 0.1932
Therefore, the required probability is 0.1932.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
