Henrietta surveyed her high school classmates on their favorite subjects. she recorded their gender and favorite subject. she concluded that if she surveyed 500 male and 500 female high school students she would find a higher number of males that preferred history than the number of females that preferred math. was she correct? | male | female english | 4 | 5 history | 7 | 3 math | 10 | 6 science| 8 | 10

No, she was not  correct.

There are less number of males that preferred history(121) than the number of females that preferred math(125)

We are given a table of values as:

Subjects    | Male     |    Female

English      |    4        |      5

History      |    7         |      3

Math          |   10        |      6

Science     |    8         |     10

Total          |   29        |     24

Hence, the probability of male who prefer history is: 7/29

Hence, the number of male who prefer history is:

(7/29)×500=120.6897

which is approx 121.

and the probability of female who prefer math are: 6/24

Hence, the number of female who prefer math is:

(6/24)×500=125

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6