Duane scored 9 out of 11 on his Science homework and 17 out of 20 on his History homework. He concluded that he scored higher in Science
because he got only two answers wrong while in History he got three
answers wrong. Find Duane's percentage score to determine if his
conclusion is accurate

Duane's conclusion is wrong

Step-by-step explanation:

We can calculate the percentage scores by dividing the number of answers right by the total number of questions:

Science homework: 9/11 = 0.82, or 82%

History homework: 17/20 = 0.85, or 85%

So, Duane's conclusion is wrong because his percentage score for history was higher than the one for science.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204