HELP ASAP I will mark brainliest Emmy is flying a drone in a field near her house. She placed the drone on the ground and used t
he controls to make it rise at a constant rate. Then, she kept the drone at the same altitude for a few minutes before bringing it back down to the ground at a constant rate. Which graph shows the drone's altitude over time ?
1 answer:
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The number of students in the survey said that math was their favorite subject is given by: Option D: 123
<h3>What is conditional relative frequency?</h3>Conditional relative frequency is relative frequency conditional to some special characteristic.
For this case, we're specified the following table:
It is given that:
- the survey was given to 120 male students and
- the survey was given to 180 female students
We have to find how many students in the survey said that math was their favorite subject.
From males, 0.35 out of 1 male said math was their favorite subject. (since total in male is 1, showing that the row of males got conditional relative frequency conditional to the gender male, and relative to the total count of males).
Thus, as out of 1, there was 0.35 supporter of math (from males), so from 120 male students, there were male students who had chosen math as their favorite subject.
Similarly, 0.45 per 1 female student chose their favorite subject as math.
Since there are 180 female students, therefore, total female students had chosen math as their favorite subject.
So, total 42+81=123 students had chosen math as their favorite subject.
Thus, the number of students in the survey said that math was their favorite subject is given by: Option D: 123
Learn more about conditional relative frequency here:
Answer:
# The transformation of f(x) to be g(x) is
- Reflected across the x-axis
- Translated 7 units to the left
- Translated 6 units up
# The transformation of f(x) to be g(x) is
- Reflected across the y-axis
- Translated 7 units down
Step-by-step explanation:
* Lets revise some transformation rules
* Lets talk about the transformation
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets solve the problems
# f(x) = 2^x ⇒ g(x) = -(2)^(x + 7) + 6
- There is a -ve sign in-front of the 2
∵ f(x) will be -f(x)
∴ f(x) will reflect across the x-axis ⇒ (1)
- The power x becomes x + 7
∵ -f(x) will be -f(x + 7)
∴ -f(x) will translate 7 units to the left ⇒ (2)
- after that -f(x + 7) add by 6
∴ -f(x + 7) will translate 6 units up ⇒ (3)
- From (1) , (2) , (3)
∴ The transformation of f(x) to be g(x) is
- Reflected across the x-axis
- Translated 7 units to the left
- Translated 6 units up
# f(x) = ㏒(x) ⇒ g(x) = ㏒(-x) - 7
- The (x) will be (-x)
∵ f(x) will be f(-x)
∴ f(x) will reflect across the y-axis ⇒ (1)
- after that f(-x) subtracted by 7
∴ f(-x) will translate 7 units down ⇒ (2)
- From (1) , (2)
∴ The transformation of f(x) to be g(x) is
- Reflected across the y-axis
- Translated 7 units down
* For more understand look to the attached graphs
# First function:
- f(x) is the red
- g(x) is the blue
# Second function:
- f(x) is the black
- g(x) is the green
