A random group of high school and college students were asked if they study with or without listening to music. The frequency ta
ble below shows the results of the poll. Which statements are true? Check all that apply.
The table shows conditional relative frequencies by column.
The table shows conditional relative frequencies by row.
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study with music, the probability the person is in college is about 63%.
If someone prefers to study with music, the probability the person is in HS is about 44%.
The table shows conditional relative frequencies by column.
The table shows conditional relative frequencies by row.
The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.
If someone prefers to study with music, the probability the person is in college is about 63%.
If someone prefers to study with music, the probability the person is in HS is about 44%.
2 answers:
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Answer:
111
Step-by-step explanation:
It is given that the student to faculty ratio at a small college is 17:3.
Let number of students and faculty members are 17x and 3x respectively.
It is given that total number of students and faculty is 740.
Divide both sides by 20.
Number of student
Number of faculty members
Therefore, there are 111 faculty members at the college.
Since is the square of x and 6x is twice the product between x and 3, the second square must be 3 squared, i.e. 9.
So, if we think of 15 as 9+6, we have
Which is the required vertex form. This form tells us imediately that the vertex is the point (3,6).
Since the leading coefficient is 1, the parabola is facing upwards (it's U shaped), so the vertex is a minimum.
Answer:
C. A horizontal stretch to produce a period of and a vertical compression.
Step-by-step explanation:
We are given the parent function as
It is given that, transformations are applied to the parent function in order to obtain the function i.e.
That is, we see that,
The parent function is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period .
Since, the period of is
, so the period of
is
=
Hence, we get option C is correct.